diff --git "a/data/dm_maths/full_data_1/10971_11255.jsonl" "b/data/dm_maths/full_data_1/10971_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10971_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 386 divided by 2420?\nAnswer: 193\/1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146 and 219.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -333043 - 5?\nAnswer: -333048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*p + 10*p + 4324. Calculate the remainder when p is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/9 (c) 6772 (d) 117\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from rrppfsprrsrffaw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 19. Let j(f) = 39*f + 156. Let w be 0 + (10 - 6) - 0. Let a(t) = w*j(t) + 33*x(t). Give a(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbdeb. What is prob of sequence dke?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmrjmjmr. Give prob of sequence rmrm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.798 + -29366.3\nAnswer: -29368.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/6*6\/5. Suppose o*g = -22 + 70. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/41144 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -10 (c) 2421.9 (d) -2\/7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**3 + 2*k - 1. What are the prime factors of u(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229*t - 1225*t - 8 = 0. Let r(v) = 14 - 6*v**2 - 5 + v**3 - v - 2*v**2. Let b be r(8). Solve k - b = t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571.7 less than -19973?\nAnswer: -22544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 4. Let i be p(0). Suppose -4 = -2*o - i*b, 4*b = -4*o + o + 16. Let z = 73 - o. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1366 and 916.\nAnswer: 625628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.61 and 544.70383616.\nAnswer: 545.31383616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*k - 12, 0*k + k + 3 = -2*m. Solve 0 = 2*o + 2 - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 3*k - 4*k - 4*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399654 and 599481?\nAnswer: 1198962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4.6, -0.4 in decreasing order.\nAnswer: 4.6, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1832 - 84?\nAnswer: -2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-114) + (-38)\/(-361) - 9\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -106*x - 113*x + 316*x - 108*x. Let t(m) = -112*m. Determine v(t(n)).\nAnswer: 1232*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -59\nAnswer: -4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 272917054 != 272917054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggyaygyyqyyqyhgayy. What is prob of picking 2 g and 2 y?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.391 * 356.38.\nAnswer: 495.72458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*m = -1471*m + 701*m - 660 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 776.438 and 0.116.\nAnswer: 90.066808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -524*j**2 - 10*j - 7. Let y(d) = -2095*d**2 - 42*d - 30. Determine 17*o(r) - 4*y(r).\nAnswer: -528*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.238 - 0.138. What is the second biggest value in -10, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 287.6251 from -0.01.\nAnswer: -287.6351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 16*m + 55. Determine o(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 64638 + 82125. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 9) to base 11.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -196, -213, -248, -307, -396, -521, -688?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -978 + 981. What is the first derivative of 340 + 222*q**v + 147*q - 223*q**3 - 26*q wrt q?\nAnswer: -3*q**2 + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**3 + 2*g**3 - 15*g**4 - 2*g**3 + 5*g**3 + 2*g**2 as v + l*g + p*g**3 + w*g**2 + r*g**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.842 to 1 dp.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -5*4*sqrt(88))\/(sqrt(11)*-2*-2).\nAnswer: -19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-3\/4))\/w)\/w)\/(w\/(w\/w**(-2))))\/((w*w**(-4\/21)*w)\/((w\/(w**(-4\/5)\/w))\/w)) assuming w is positive.\nAnswer: w**(101\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x - 3*x - 2*x)*(2*x + x - x) - 2*x**2 + x**2 + 8*x**2)*(-3 + 0 + 0)*(-5 + 2 + 0).\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from bobboooobonoobooo.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/333 and 89\/570.\nAnswer: 63270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 565354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - x - 11 = y, 24806*y - 24806*y - 6 = 2*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t + 1. Let u be f(1). Let v be (-5)\/15 - u\/6. Let j be (6\/v)\/(5\/5). Solve -j = n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -87*u**3 - 41933*u**2 + 480*u - 960. What is p(-482)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -13 - (-5 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:30 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6604957, 6604944, 6604931?\n\"Answer: -13*h + 6604970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35811)\/(-225))\/23 + (-4)\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 + l**2 - 1. Let y be k(-1). Suppose 0 = 2*z - 5*c - 10, z = -0*z + y*c + 10. What is the nearest to z in -4\/9, -5, 1\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 * -0.5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 5.\nAnswer: -103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l + 20. Let x = 85 + -21. What is the remainder when x is divided by (l\/(-5))\/(2\/44)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(12\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**(-12\/11)*g)\/g*g*g)**40\/(g*g*(g**(-16\/5)\/g)\/g*g)**(-1\/42) assuming g is positive.\nAnswer: g**(268679\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/10)\/(4\/10). Sort d, 0, 3, 1 in ascending order.\nAnswer: 0, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21811 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*h**2 + 18*h**2 + 74*h**2 as n*h + i + a*h**2 and give a.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let o(w) = -16*w + 14*w + 5 + 5*w - 4. Let i(x) = 3*x**2 + 2*x - 1. Let p be i(1). Give p*g(k) - o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210 + -2308\/11. Let r(u) = 2*u + 5. Let m be r(15). Let g = 36 - m. Which is the closest to 1? (a) g (b) f (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 11. Suppose 1 - 136 = -9*x. Let u be (14\/105)\/(-1) - (-197)\/x. Give h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.96, 5, 1, -162?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/14)\/(189\/441). Solve -b*k + 3*k - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 7. Let r = 18 + 32. What is the remainder when r is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1965.897 + 1963. Let p = z - 0.103. What is the nearest to -2\/7 in 24, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3*15\/(-20). Put 4\/41, -0.1, i in descending order.\nAnswer: 4\/41, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let b(p) = 4*p. Let w(m) = 2*m. Let z(g) = v*w(g) - 2*b(g). Let y(c) = 8*c**2 + 3*c. Give y(z(d)).\nAnswer: 32*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/9*(7 - 13)*3. Let k(y) = -3*y - 21. Let x be k(f). Solve 9 = -x*m + 3*l, 4*m - 2 = -3*l - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/5 + 13707*o**3\/5 + 707178*o**2\/5 - 293832*o = 0. What is o?\nAnswer: -53, 0, 2, 4620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/7 - 30160\/(-140). Suppose -3*t - 59 = -w. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 459*k - 476*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(2*sqrt(396) + -4)*2)**2.\nAnswer: -1728*sqrt(11) + 25668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2295, 2496, 2711, 2946, 3207, 3500, 3831?\nAnswer: 4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g. Suppose -3*d - 4*i = -21, -4*d = -d - 3*i. Let w(n) = -12*n + 13*n + 10*n**2 + 2*n**d - 11*n + 2*n**3. Give -10*k(b) - w(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8085239.958 to the nearest one hundred.\nAnswer: 8085200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1640 + 22?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:10 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5 in descending order.\nAnswer: 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5445) + (sqrt(5445) - (3 + sqrt(5445))) + -4)**2*-5.\nAnswer: -27630 + 2970*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**6\/180 - 11*c**5\/30 - 121*c**4\/12 - 37*c**3\/3 - c**2\/2 - 81. Let r(l) be the third derivative of j(l). Factor r(a).\nAnswer: -2*(a + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6033.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126146 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from nqttttnttnbttns.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + -0.06. Let z = -11.95 - y. Let j = z - -17. Which is the biggest value? (a) 2 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20*h**2 - 97*h + 12. Give t(3).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)*(-306)\/102. Sort 3, -13, u in decreasing order.\nAnswer: 3, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4073 = 1225. What is the lowest common multiple of 8 and l?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385458 (base 15) to base 12\nAnswer: -aa309b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12614 (base 12) to base 11\nAnswer: -17923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 304*z - 322*z + 90. Solve -z*h - 5*c - 1 = -16, 3*h + 11*c = 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3571 + 3531. Suppose 6*s = s - 225. Let q = c - s. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 170 and 77682.\nAnswer: 13205940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6779165*z**3 + 7906913 wrt z.\nAnswer: -20337495*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**(-2\/3)))**41)**(-10\/9))**(-3\/4) assuming o is positive.\nAnswer: o**(-1025\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16993080 divided by 130?\nAnswer: 130716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4515, -11968, -22299, -35508, -51595, -70560, -92403?\nAnswer: -117124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940.925l in millilitres?\nAnswer: 2940925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 421 = 8*q, 14*k - 1783 = 10*k + q. Calculate the remainder when k is divided by 69.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 14969.\nAnswer: -2993.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 5 + 5 + (1 - 1 + r)*(0*r - 3*r + r))*(-r - r + 4*r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 10. Let t be (-4 - -4)\/(12 - 10). What is c(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 2 = 0. Let f(y) be the first derivative of -y + y - 1 - 2*y**3 - m*y**2. What is the second derivative of f(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -5. Let a be ((-1)\/3)\/((-2)\/l). What is the third derivative of -4*z**5 + 3*z + 8*z**2 - 6*z + a*z wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108951659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*q - 49289 - 33513, 0 = -c - 2. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.64 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 12*z**2 - 19*z + 125. What is the remainder when k(-12) is divided by 63?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 112*h - 113. Calculate a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.028 + 0.972. Which is the second biggest value? (a) -1\/4 (b) 2\/9 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 712 and -11053512418?\nAnswer: 11053513130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2529592, -2529410, -2529228, -2529046, -2528864, -2528682?\nAnswer: -2528500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/5 (b) -5\/2 (c) 2\/5 (d) 4 (e) -20.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = -4*s, 0 = -5*d + 10. Let j = s - 3. Let f(b) = b**3 + 3*b**2 + b + 1. Let o be f(-2). Solve 0 = -4*q + o*q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1344963 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 2*x, -5*x - 13 = -2*n + 23. Let g(f) = f**2 + 5*f + 9. What is the tens digit of g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2047)\/161 - (-6)\/(-21) - 16.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:31 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o + 2*o + (-2*o + 4 - 4)*(7 - 4 - 1) + (4 - 3 - 5)*(-4*o + 2*o + 4*o))*(-166*o - 99*o + 81*o) to l + a*o + y*o**2 and give y.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 11. Suppose 66 = -2*v - 4*v. Calculate the smallest common multiple of y(v) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - u. Let v(c) = -c**3 + 5*c**2 + c - 4. Let w be v(5). Let r be i(w). Solve -r*z = 5*o + 15, z = -5*o + 5*z - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-7)\/((-28)\/(-100)). Let g = c - 21. Solve g*a = a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2 + 2)*(2*k - 1 + 1)*((0 + 1 + 1)*(-2 + k + 2) - 3*k - 3 + 3).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 11*k**2 - 6*k + 17. Calculate b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**5\/20 - 19*a**2\/2 - 20*a + 4. Let i(g) be the first derivative of w(g). Differentiate i(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -311\/5 - -2313\/40. Let z be 3\/(72\/(-174))*-168. Calculate the common denominator of x and (1\/(0 - 92))\/(21\/z).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/3 - 8*u**4\/3 - 6*u**3 - 16*u**2\/3 - 5*u\/3.\nAnswer: -u*(u + 1)**3*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*t, -q + 3*t - 6*t = -10. Let z = q - 3. What is the units digit of z\/(-20) + 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18515 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 145 = 18*d - 42, 0 = 3*s - 5*d + 46 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - d - 22 = 4*d, -4*x - 5*d = 12. Let v be x\/(-4) + 3\/(-12). Let w = 31 - 27. What is the biggest value in 1\/2, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/45 greater than -0.5437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 10*h**4\/3 - 4*h**3\/3 + h**2 - 14*h. Let f(z) = z**2 - z + 1. Let g(s) = -3*f(s) + j(s). Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 616 - 1966\/3. Let m be -60*(1 + 2\/(-6)). Let v = a - m. What is the closest to 2\/7 in -3, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4 + -2*2\/8. Is 0.8 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 - 1. Let z(k) = 7*k**3 + 6*k**2 - 10*k + 6. Calculate 6*l(f) + z(f).\nAnswer: f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 3\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = 5*b - l, -4*b - 3*l = -7. Let s(c) = 5*c - 2. Let p(f) = -f. Let g(t) = -t. Let i(m) = -3*g(m) + 2*p(m). Determine b*i(a) + s(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iayiu. Give prob of picking 1 a, 1 y, and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 0 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(99\/48)*1 + 6. Let w = 88.04 - 1.04. Let d = -33 + w. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 132, 318, 598, 984, 1488, 2122?\nAnswer: 2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**5 + 0*r**6 + 8\/105*r**7 - 13*r**2 - 11\/24*r**4 + 0 + 0*r + 0*r**3. What is the second derivative of y(d) wrt d?\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -707 + 667 + (-6 - -51)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -1\/3, -21\/22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 467445761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, x: 2, z: 5}. What is prob of picking 2 r?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from xtxxxrututt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33497 - 803797\/24. Let w = -1658\/3 + 1139\/2. Calculate the common denominator of l and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*g + 48 = 73*g. Is 16 a factor of 7\/(56\/g) + 1181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101333002, -101333010, -101333030, -101333068, -101333130, -101333222, -101333350?\nAnswer: -101333520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6) + -13 + 8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 80. Let p be (-6)\/((-4)\/(-1 + 3)). Calculate the remainder when x is divided by 7*p\/12*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 - 49\/6615*1725?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/90 and 13\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + u - 2. Let t be x(-3). Let m(b) = b**2 + 3*b - 4. Let l be m(-4). Let w be (-1 - l\/3)*1. Sort 2, w, t in increasing order.\nAnswer: t, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.18. Let t = -267 + 273.48. Let c = t - o. Round c to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189cae (base 16) to base 3\nAnswer: 10000221120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*m + 8, 0 = m + h - 978090 + 978089 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -26689, -0.0441 in increasing order.\nAnswer: -26689, -2\/5, -0.0441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67474484 rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9 and 26299541 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = m - 16*i + 5, 0 = 3*m + 2*i + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 4, -4, 2 in decreasing order.\nAnswer: 4, 2, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958355854.\nAnswer: 2, 22483, 110269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7663027 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 324 = -4*f - 13*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 12 = 267*q - 271*q, 4*q + 4*t = 28 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Let f = -104 - -103.99. Let m = f - 0.29. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 445665 + -445662. Suppose w - 7 = -3. What is a in 9\/5*a - 6\/5 + 3\/5*a**2 - 9\/5*a**p + 3\/5*a**w = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**15*t)\/(t**(4\/7)\/t*t))**36)**35 assuming t is positive.\nAnswer: t**(-17100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 + x + 5. Let f be o(0). Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 - 2. Let g be t(-3). Let q be (-2)\/g*3 + -3. Which is the biggest value? (a) -2\/9 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, f: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36538291?\nAnswer: 36538291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -3684?\nAnswer: -3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 4, s: 1, y: 5, a: 1, r: 3}. Give prob of picking 1 a, 2 y, and 1 o.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 40 + 264. Let n = w - -137. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16*(-140)\/(-441)*-12)\/(1\/7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.9 and -0.44112.\nAnswer: 8.337168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2340cb (base 16) to base 6\nAnswer: 121304015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-533))\/((-5)\/(-415)) + 72\/36\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-1\/8)\/((s**6*s*s)\/s**0))**(-46) assuming s is positive.\nAnswer: s**(1495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/20 + x**4\/3 - 2*x**3\/3 + 7*x**2\/2 - 18*x. Let o be s(3). Calculate the highest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.04, -0.1, 1\/6, 3, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83419, 166841, 250263, 333685, 417107, 500529?\n\"Answer: 83422*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 5*v - 4. Let u be j(4). Suppose 2*o = 4*o - u. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -6 + 2 = -a, -p*a + 30 = u. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 67. Let h = 16.2 - 15. Let s = 0.2 - h. Is s at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2138*r + 2139*r - 5*s = 100, -2*r = 11*s + 199 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5353703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*-1)\/(-2*sqrt(12)*-5)*2 - (sqrt(128) + 1)*-1*4*5.\nAnswer: 20 + 799*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/120 + k**4\/48 + 7*k**2. Solve r(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -46 - (-1 - -1 - 0). Let w = 86 + i. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let h be o(12). Let m be 0 + -2 - (1 - 8). Solve h = m*s - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-66 + (59 - 16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/188)\/(10\/(-8))*(-190)\/(-589).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29497 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) 33\/7 (c) -1\/3 (d) -126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*i + 22*i + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b**4 + 14452*b**3 + 282624*b**2 + 1428880*b + 198400 = 0.\nAnswer: -496, -10, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4872991 to the nearest integer?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-12))\/(42\/(-112)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 126*m + 1. Let r(k) = 1818*k + 5158. Let a(g) = 8*h(g) + r(g). Differentiate a(b) wrt b.\nAnswer: 2826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5452 (base 13) to base 7.\nAnswer: -46123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*sqrt(125)*-3.\nAnswer: -90*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106078 is divided by 100?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/5 or 19?\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 4. Let r be m(0). Let w(a) = a**2 + a. Let d(f) = f**2 + 2*f. Determine r*w(o) - 2*d(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.51861 times -1?\nAnswer: 20.51861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 5. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2782\/(-107)*-3*3\/126*-1*1.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10532749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 14 = 2*b - 4*b, 5*w + b - 17 = 0. Suppose -w*t + o = -3, t + 17 = 4*o - 1. Solve -3*h = t*f - f, -5*f = -h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from dgzdxfxdxgox?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/4 + 91633*l\/4 + 9416981\/2 = 0 for l.\nAnswer: -91427, -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/30*3\/(-6)*1\/2.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72671.1 and 547085?\nAnswer: 619756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4805019 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = l, 2*y - 3*y - 5*l - 11 = 0. Let v be 1\/2 + -38*y\/16. Let k(t) = -t**2 - 12*t + 16. What is the tens digit of k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 5788115?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 2. Let p = 801 - 816. Is p greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-340)\/238 + (-594838)\/(-14).\nAnswer: 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 752486779?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*f - 23130709 = -23132095 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 20 = 0. What is the third derivative of 2*v**2 - v**3 + 0*v**3 + k*v**3 wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011101101 - 1011001000110?\nAnswer: 10001010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 3)*3\/12. Sort -4, 0, l in increasing order.\nAnswer: -4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 130. Let r(h) = h**2 + 1. Let a(p) = 2*r(p) - z(p). Differentiate a(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-180 - -2) + 0. What is the remainder when (1 + s)*2\/(-5) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 2*k + 28. Let b be c(-6). Solve -25*x + b = -26*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 5)*(b - 7 + b**3 + 10 - 3*b**3)*(-6*b**2 + 14*b**2 - b**2).\nAnswer: -56*b**5 + 28*b**3 + 84*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2)*(0 + 0 - 2*o) + 0*o**2 + 3*o**2 - o**2 + (-3*o**2 + o**2 + 0*o**2)*(-9 + 17 + 226).\nAnswer: -464*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*t*y + 33330*k**2*y + 17*k*t*y - 4866*k*t + k*y - 2*k + y with respect to t.\nAnswer: 2*k**2*y + 17*k*y - 4866*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -45*f**2 + 35*f**2 + 55*f**2. Let k(u) = 2*u. Calculate r(k(p)).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((80\/(-140))\/((-12)\/14))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31355 is divided by 7744.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h - 13. Let c(a) = 16*a + 12. Let o(m) = 7*c(m) + 6*z(m). Let q(w) = -7*w - 2. Let b = 349176 - 349186. Determine b*q(f) - 3*o(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 596600 to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-37) - 5840\/(-1480)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7567035708263 - 57.\nAnswer: 7567035708206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1559224 (base 10) to base 7\nAnswer: -16152562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let i be j\/3 + 10\/15. Does 7 divide (3 - i)\/((-1)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49679 is divided by 64?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9049 or 9029?\nAnswer: 9029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12299\/(-28))\/((-2)\/8). Let q = l - 121235\/69. Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.42623135 to two decimal places.\nAnswer: -18.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 327288279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 + -1 + 1 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 384 - q**3 + 426 - 8*q - 809 - 4*q**2. Calculate u(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, w: 2}. Give prob of sequence wffw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x + 4*z, -4*z = 7*x - 2*x - 22. Calculate the least common multiple of x and (-46)\/1219 - 1276\/(-106).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5365 (base 14) to base 16\nAnswer: 383d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*i**2*w + i**2 - 7*i*w + 10*i + 20285*w wrt i?\nAnswer: 10*i*w + 2*i - 7*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-14)*(28\/(-7))\/((-4)\/2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(19)*2)**2 - (sqrt(2299) + 1)) - (5 + sqrt(513)\/sqrt(3) + (sqrt(171) + (1*sqrt(171) - sqrt(171)))\/sqrt(9)).\nAnswer: -293 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 p, and 1 e when four letters picked without replacement from {d: 2, e: 1, l: 4, z: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -328472.536 to the nearest 100.\nAnswer: -328500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6722.\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvu when four letters picked without replacement from uuuvuvuuuuuuvuuuuuuv.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12414, -0.5, 3\/181, -3\/7, 11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14104 - -1 - (70\/(-90) - 22\/99). Let d(l) = l**3 + 6*l**2 - 5*l + 3. Let p be d(-6). Let h be 1 - (z\/p - (-2)\/6). Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 12*v + 7. Let c(z) = z**2 + 6*z + 3. Let h(u) = 5*c(u) - 3*n(u). Let d be h(-9). Let y = d + 60. Solve 5*s - 7 = -y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002557 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugvk when four letters picked without replacement from {u: 2, v: 3, g: 5, k: 3}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -112. Is 21 a factor of 1*((-12)\/(-4) + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176.854 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290604688 divided by -4.\nAnswer: 72651172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22411 (base 5) to base 13\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 116*m**2 - 116*m + 116. Let x(z) = -z + 1. What is -t(p) + 116*x(p)?\nAnswer: -116*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 3. Let h = -1 + 1. Suppose h = 47*w - 43*w - 56. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**(-11)*s**(2\/9)*(s*s**(-3))**(8\/19) assuming s is positive.\nAnswer: s**(2117\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100000111111?\nAnswer: -100000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p. Let j = 6.9 - 7.9. Which is the closest to -3? (a) -1\/9 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11946 = 23*m - 20*m, 4*m - 2*j = 15942. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2344.8969 months to millennia.\nAnswer: 0.195408075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6143 - -6261. What is the remainder when 348 is divided by u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3824*z**2 - 3727*z**2 - 6413*z**2.\nAnswer: -13964*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.5 and 260080?\nAnswer: 1690520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 9141*p + 3615*p - 1)*(-1 + 1 + 1) to y*p + a and give y.\nAnswer: 12756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*g**3 + 224 + 76*g**3 + 5*g**2 + 232*g + 75*g**2 - 153*g**3 - 16*g**2 = 0. What is g?\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 27041*g + 621945. Determine w(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*9.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3837 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9133.572 millennia in years?\nAnswer: 9133572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a - 12?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (1368\/357 - (-10)\/35). What is the nearest to 3 in -2, o, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11*z + 124 = 3*n, 4*n + 80 = -4*z. Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 253*d**2\/2 + 261*d + 169. What is the derivative of o(p) wrt p?\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/4*48\/72.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*k = -2306, -4*k + 194 = -m + 753. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.7 - -74. Let v = -0.8 + q. Let f = -5 - v. Which is the closest to 0.4? (a) -0.1 (b) 1\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 - -937\/4. Find the common denominator of m and (-58)\/9 - (-1005)\/(-670).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -24 + 78 + -1*3. Let z be x\/(-34)*12\/(-99). Determine f, given that 6\/11*f - 4\/11 - z*f**3 + 0*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3972000 rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 41946960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 - 174*k**2 - 51*k - 151. What is the tens digit of w(62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 8*c = 24. Let h be (8\/c)\/((-2)\/(-33)). Solve 2*z + h - 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 divided by 5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32424431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 261089 and 4.7?\nAnswer: 261084.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11504 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 118139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 404 = 5*d, -6*d + 4*a = -d - 407. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/7 + 47*j\/7 - 534 = 0?\nAnswer: -89, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 + 2*c. Let z(y) = -66*y**3 + 27*y. Calculate 54*b(n) - 4*z(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8167895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - 30)\/(1 + 15\/(-6)) and 57\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 2, -0.2, -45, 1\/2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9818 = -240182. What is o rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51194 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (-5 + -2*sqrt(325) - (-1 + sqrt(325) + -1))*-2)**2.\nAnswer: 420*sqrt(13) + 11749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (2*sqrt(153) + sqrt(153))*2 + sqrt(153) + sqrt(153) + sqrt(153)*-2*2 + sqrt(153) + sqrt(153))\/(6*1*sqrt(144)) + -5.\nAnswer: -5 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - 1) + 13 + 4 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 9. Let i be (h*1)\/(3\/9). Is 0 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526244 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266472 is divided by 1075.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -0.6, 4, -2\/77, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + d - d + 3)*(-d + 0 + 0)*(-1 + 2 + 3).\nAnswer: -20*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, -13, 0.2, -1\/12, -0.01 in descending order.\nAnswer: 0.2, -0.01, -1\/13, -1\/12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 6. Give q(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let c(p) = -3*p**2. Calculate 3*c(z) - 5*t(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-130187944\nAnswer: -390563832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 divided by 109101?\nAnswer: 1769\/109101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000311 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*l**3 - 1 - l**2 + 1 + 0*l**2 to the form k*l**3 + s*l + f*l**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = g - 188, 0 = -g - 4. Let o = -38 + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Let i = -2.9738 + -0.0262. What is the smallest value in x, i, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -7. What is the remainder when l is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 55 + 0\/2. Suppose -4*k + q = -14. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -456*v**2 - 4526*v + 30. Determine t(-10).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**2 + 9*t**2 + 23*t**3 - 20*t + 19*t**3 - 41*t**3 + 5. Let f be j(-20). Solve 0*z - 7\/3*z**2 + z**4 + 1\/3*z**3 - 1\/3*z**f + 4\/3 = 0 for z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 - 1\/3*b**4 + 1\/120*b**6 - 12*b**2 - 1\/10*b**5 + 5\/3*b**3 + 0*b. Give l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/47 - -67\/235. Which is the fourth smallest value? (a) 4\/7 (b) m (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -26.6. What is the closest to 0.1 in 2\/7, x, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*i\/i**(-6)*i)))\/(i\/(i*i\/(i\/i**(-5)))*i)*i**(1\/3)\/(i*i**(2\/7)))\/((i**1)**5\/(i**(2\/9))**17) assuming i is positive.\nAnswer: i**(115\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.2. Let a be ((-12)\/9)\/(2\/6). What is the biggest value in 5, a, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 1364.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 + 2*i + 4. Let o be 2\/(-1*(-2)\/3). Let h be y(o). Let s = -6\/29 + 124\/319. What is the third biggest value in -3, s, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.8 - 13.8. Which is the nearest to 2\/3? (a) y (b) -0.2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = 8. Let j(s) = -s**3 - s**2 + 2*s + 2. Let z be j(-1). Solve z = d*b + 3*b + 5*r + 5, 4*r - 11 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(833)*-2 + -3)**2 + (sqrt(459)*-2)\/(-1*(sqrt(3) + sqrt(3)*2)).\nAnswer: -26*sqrt(17) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -7, -24, 0.1, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1271, -292, 2513, 8056, 17249, 31004, 50233, 75848?\n\"Answer: 152*a**3 + a**2 - 88*a - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = 0, -20*a + 9 = -3*r - 17*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v - 48. Let b be a(21). Suppose -b = -25*f + 10*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Suppose m - k = 2. Solve -5*w + 8 - 3 = -5*h, 2*w = m*h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -32. Let q = -19.4 + a. Put q, 2, -2\/13 in increasing order.\nAnswer: q, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*t + 424027 + 267719. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p - 2. What is v(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 3*l + 6*l)*(51 - 4 + 9) + 9*l - 2*l - 8*l.\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.4 - -19. Let y = o - 0.6. Sort y, 5, -2 in descending order.\nAnswer: 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3896*f**2 + 2546*f + 70. Let h(u) = -2*u**2 - 2*u + 7. Let g(c) = 10*h(c) - k(c). What is the second derivative of g(o) wrt o?\nAnswer: -7832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67548000 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*9*(-126)\/(-756). Let q = 27.6 - 28. Is o at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 0*v + 0*v**2 - 2*v**2 + (0*v**2 + 2*v**2 + 0*v**2)*(-4 - 7 + 5) - v**2 - 4*v**2 + 18*v**2 to the form j + o*v + h*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 183350079 to the nearest one million.\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4*d**2 - 2*d + 3. Let v be o(3). Suppose 2*a - 6*a = -3*w + 111, -4*w = a + 42. Let u be a\/v*2\/1. Solve 0 - 10 = u*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609, -742, -1107, -1818, -2989, -4734?\nAnswer: -7167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -25*y - 75942. Let g = y - -92791\/22. What is the common denominator of g and ((-37)\/68)\/(1 + 0)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 259*x - 582. Is t(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68986 + -68989.3083. Let u = -0.0083 - w. Which is the nearest to -1? (a) u (b) -5 (c) 0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(75).\nAnswer: -10*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -2. Let t be -2 + -3 + (-41)\/m. What is the closest to 0 in -1\/4, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) + 98631\/(-255)*1667. Let m = -645444 - v. Let i = m + 668. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*b**4 - 21149*b**2 - 632424 wrt b?\nAnswer: -64*b**3 - 42298*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2020 + -101340?\nAnswer: -103360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 35*s - 573. Is 33 a factor of h(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.04 - 27. Let n = -1.84 - -2. Let i = w + n. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5 - 1967*f**4 - 983805*f**3 - 16219125*f**2 - 28518750*f = 0.\nAnswer: -975, -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -w - 0*l + 15, 0 = -4*w - 2*l + 10. Suppose -3*o - 5*n + 153 = w, -o + 4*n + 236 = 3*o. What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -43*n + 61. Let v be o(-5). What is the greatest common factor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166.696 meters in micrometers?\nAnswer: 1166696000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 3*j + 4*j)*(-2*j**4 + 2*j**4 + j**4) - 2048*j**5 - 2050*j**5 + 4109*j**5 - 24.\nAnswer: 9*j**5 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 34*f - 62. Let j be k(-2). Let v = -2 - 0. Does j = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -107, -175, -287, -443, -643?\n\"Answer: -22*s**2 - 2*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 + 10*f**4 - 33*f**3\/4 + 5*f**2\/2 - f\/4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1817?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*j + 54*j - 903*j = -19206 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36 + (-4)\/1 + 7. Let z be (6\/(-4))\/(d\/(-104)). Suppose 2*l = -z + 16. Solve 0 = -4*p + 4*y - 32, -4*y + l + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 9. Let i be u(-7). Let o(t) = t**2 + 2*t - 4. Let v be o(i). Suppose v*r = -1 + 17. Solve -3*c + 14 = 5*l, 3*l - 4*l + r = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let c(r) be the second derivative of r**2 + 43 + r + 11\/6*r**3. Calculate c(m(l)).\nAnswer: 22*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - o**2 + 5*o**2)*(7 + 3 - 75*o + 71*o) to the form m*o + z*o**3 + v*o**2 + c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 - 234*j - 703. Let h be g(-3). Which is the nearest to 1? (a) 0 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.3, -1, -1\/3, 0.18, 2 in descending order.\nAnswer: 2, 0.18, -0.3, -1\/3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 7, -689?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*q - 1027*q + 43966 = -128159 for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67830 divided by -646\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 186, 407, 746, 1227?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**3 + 6*w**2 - 197*w - 4. Let m(q) = -13*q**3 + 11*q**2 - 394*q - 7. What is -6*m(h) + 11*x(h)?\nAnswer: h**3 + 197*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 1\/4 (c) 2 (d) 7\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317100, 634261, 951422?\nAnswer: 1268583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**6\/27 - 98*x**5\/45 + 383*x**4\/9 - 6460*x**3\/27 - 8959*x**2\/9 - 9826*x\/9 - 107. Suppose u(p) = 0. What is p?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11592415*p**4 - 2698119*p wrt p?\nAnswer: 139108980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3365 - 3258.8. Is -1\/2 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (-42 + 5 - (427 + -421))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/8)*t*t**(-1\/22))**(-4\/43)\/(t*t**(-2)*t**(-5)*t*(t*t**(-1\/3))**6) assuming t is positive.\nAnswer: t**(785\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21667760.\nAnswer: 2, 5, 31, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -123304 (base 5) to base 4\nAnswer: -1023131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -323 - -327 - ((1 - 1) + -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 148. Let z = -252 - -178. Let x = z + 138. What is the greatest common divisor of x and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:07 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -231682*q**2 + 2316820*q + 3. Calculate k(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1935 = 11*x - 1178. Do 283 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - 275. Let f be (-17 - -7)\/10 + (-22)\/(-24). Which is the fourth biggest value? (a) 0.2 (b) f (c) q (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -34. Solve l = g + 5 - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b822 (base 14) in base 8?\nAnswer: 211066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460461 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 661419 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664798, -1329598, -1994398?\nAnswer: -2659198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-6) + (-5)\/15. Suppose -h + k = -0*h. Which is bigger: h or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03213*0.2.\nAnswer: -0.006426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 118452*d - 6162203. Calculate i(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/90)\/((-3)\/(-10)) + 0. Let g = 1.01 - 0.01. Let y = 1.1 - g. Which is the biggest value? (a) 7 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -9 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27450, 54904, 82344, 109764, 137158?\nAnswer: 164520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n + 2. Let w(v) = 11*v**3 + 7*v**2 - 16*v + 4. Determine -2*a(h) + w(h).\nAnswer: 13*h**3 + 7*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -571693*i**2 - 146380*i wrt i?\nAnswer: -1143386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965550 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus -0.0627?\nAnswer: -28.0627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 5 + 11113*i**2.\nAnswer: 11113*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 - d - 2. Let b(y) = 325*y**3 - 4*y**2 + 4*y + 12. Give -b(l) - 4*g(l).\nAnswer: -321*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 12. Put s, 3, 0.1 in ascending order.\nAnswer: s, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1031346.\nAnswer: 7219422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 + 5560*h + 31. Let a(p) = 6*p**2 + 5559*p + 25. Determine 5*a(c) - 4*y(c).\nAnswer: -2*c**2 + 5555*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -475, -1077, -1921, -3007, -4335, -5905?\nAnswer: -7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 732, 1330, 1928, 2526?\nAnswer: 3124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 17*v**7\/5040 + 3*v**5\/10 + 14*v**2. Let j(p) be the third derivative of n(p). Let x(o) = -2*o. Calculate x(j(d)).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67, -108, -147, -184, -219, -252?\n\"Answer: k**2 - 44*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -90\/7066033 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2 + 3*i + 1 + 6. Let x be z(0). Solve -5*o - x*a = 0, o + o + 3 = -a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 17*k + 9. Let o(l) = -2*l**2 - 9*l - 5. Let d(u) = 4*j(u) + 7*o(u). What is d(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = -2. Suppose 10*a - 11 = 3*x + 5*a, 0 = w*a - 4. Is 4 a factor of (6\/x)\/(4\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 6. Suppose 30 = 7*z - 2*z. What is the remainder when 3 + (15 - (-2 - j)) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 divided by 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.871848 to the nearest integer.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2 - t + 0*t)*(0*t**4 + 5*t**4 - 6*t**4 + 3*t**4 + t**4 + t**4 + (-t - t + t)*(-4 + 4 + 2*t**3)).\nAnswer: 2*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -18*i - 4*i + 21*i. Let c(b) = -2937*b. Calculate k(c(m)).\nAnswer: 2937*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, w: 1}. Give prob of sequence nnw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020189179 to six dps.\nAnswer: -0.020189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 13*v - 17*v. Let d be 2\/(-91) - (-1 - -1). Is v less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 9*q**4\/8 + 1598*q**2. Let k(i) = 7*i + 4. Let r(p) = -13*p - 7. Let y(f) = -7*k(f) - 4*r(f). Calculate y(a(d)).\nAnswer: 81*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/44492 and -31\/19932416.\nAnswer: 19932416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)\/(r\/r**(-1\/5)))\/(r**5*r*r*r**(-3\/2)) assuming r is positive.\nAnswer: r**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -caac (base 14) in base 10?\nAnswer: -35040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 3, n: 1, a: 4, v: 1, x: 3}. What is prob of sequence zva?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4654 (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n + 35. Suppose -91 = 11*b + 107. Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 - z**5\/10 - 4*z**3\/3 - 2*z**2. Let q be (-3201)\/(-485) + 3\/(-5) + 0. What is b(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, k: 3, p: 1, b: 9, r: 1}. Give prob of picking 1 k, 1 b, 1 f, and 1 p.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75.51654kg?\nAnswer: 75516540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19617, 19615, 19613, 19611, 19609?\nAnswer: 19607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -194*o**2 + 0 + 86*o**2 + 4 + 98*o**2. Let x = 958 + -962. Let c(w) = 11*w**2 - 5. Calculate x*s(a) - 3*c(a).\nAnswer: 7*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 16) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 456*x - 1619863. Determine y(-1065).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115247127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 - 2385833.\nAnswer: -2386039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111010110 + 10000?\nAnswer: -111111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.27 and 0.4?\nAnswer: 10.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*g - 11, -4*g + 3*s - 5*s + 10 = 0. Let l(y) = 20*y + 10. Let n be l(-7). Calculate the remainder when n\/(-18) + 10\/(-45) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-50)\/52)\/(621 + -107). Let n = -195451\/33410 + d. Find the common denominator of 4\/(-10) + 349\/(-40) and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 2. Let v(o) = 4*o - 3. Suppose 4*s - 4*j = -20, 3*s + 18 = -j + 3*j. Let g(c) = -11*c + 8. Let n(p) = s*v(p) - 3*g(p). What is -f(i) + 5*n(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39\/7 + 38\/7. Let p be 54\/18 + (-175)\/55. What is the nearest to 0.1 in -2\/9, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 58522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*n - 6*n - 215 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91967575.\nAnswer: 5, 7, 525529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 divided by -725?\nAnswer: 474\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10481 + 18067. Is 63 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -40*x + 31*x. Suppose 0 = 4*u - y - 2215, -1121 = -x*u + 2*u + 5*y. What are the prime factors of u?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -36. Calculate the greatest common divisor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - c?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 10.5. Which is the closest to 2\/7? (a) 5 (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111001111100 (base 2) to base 12\nAnswer: -4624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 14 = -3*a. Suppose -2*y = a*y + 1332. Let u = y + 208. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3527719 to the nearest integer?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -313. Suppose x*m + 204 = 3*l, 0 = l + m - 75 + 17. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*x + 4*x. Suppose 5 = x*q - q. Suppose -o + 7 = -q. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 361087 and 18163?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, 235, 0.1, -3\/2 in decreasing order.\nAnswer: 235, 4, 3\/4, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + -335.147. Let n = -3.853 + h. What is the closest to 0.1 in 0.09, 2, n?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64690*y + 64884*y + 9681 = -5839 for y.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*c**2*d**2*o - 2*c**2*o - 2*c*o - 146*d**2 wrt c?\nAnswer: 40*d**2*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13 + 33 = 0. Solve -3*y = -3*m + 3, y + 0 = -4*m + u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3131*y - 1703*y + 449*y - 291*y + 203*y to the form p*y + o and give p.\nAnswer: -4473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 = 3*d, -5*d - g + 10 = -0*d. Solve d*q = -8 + 2, q = -5*h + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(-11 + (-261)\/(-24)). Let n(p) = -2*p**3 - 8*p**2 - 3*p - 4. Determine n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(10*y - 210*y - 69*y)*(3 - 1 + 1).\nAnswer: 1614*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -15)\/((-6)\/22). Calculate the highest common divisor of y and 2816.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(126) + sqrt(126))\/sqrt(9))\/(sqrt(4)\/((2*sqrt(128) - sqrt(128)) + sqrt(128))).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6560880 or -6560878?\nAnswer: -6560878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -17778 not equal to -17779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966023930?\nAnswer: 2, 3, 5, 13, 5041087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/18*-2*2. Suppose r = -d*r. Suppose o + 8 = 5*o. Solve x + o = 5*v - 0, 2*v - 5*x + 13 = r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*c + 49*g - 61*g = 36, 11*c - 5*c + 8 = 5*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1809616+25929902\nAnswer: 25929902.1809616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v + 1 - v + 0*v. Let k = -352 - -347. Let d(n) = n - 1. Determine k*o(m) - 6*d(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (1 - 17) - (3716 - 3761)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468200 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*2)\/(sqrt(16)\/sqrt(4)*6 + sqrt(4)) + (sqrt(171)\/(2*sqrt(144)))**2*-1.\nAnswer: -19\/64 + 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -165023 minus -71?\nAnswer: -164952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)*4)\/sqrt(2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 + -8)\/1 + (-29)\/2)*1116\/279.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(85) - sqrt(85) - -6*1*sqrt(85))\/((4*sqrt(55)*-2)\/sqrt(11)) + 0)**2*-5.\nAnswer: -6885\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28) - -5*sqrt(168)\/sqrt(6)))\/((sqrt(4) + sqrt(4)*2)*-6 - sqrt(4) - (sqrt(196) + (sqrt(196) - sqrt(196)*-2) - sqrt(196))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5701 divided by -41.\nAnswer: 5701\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3, 2, -2, 0.62, 171606?\nAnswer: 171606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (-21 + 32) - (77 - 71).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 37003*s**2 - 3395903*s - 3358901.\nAnswer: -(s + 1)*(s + 91)*(s + 36911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -42. What is the hundreds digit of 6*(0 - p)\/2*-20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 5*f + 20, -8143*j + f + 4 = -8140*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from ctttnttbtcftfddfdd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**4 - b**3 + b. Let t(s) = -34*s**5 + 10*s**4 - 10*s**3 + 4*s**2 + 10*s. Let n(k) = 10*o(k) - t(k). What is the third derivative of n(q) wrt q?\nAnswer: 2040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132055\/6 or -22010?\nAnswer: -22010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*c**3 + 28*a**2 - 747*a*c**4 - 2*a*c + 3*c wrt c?\nAnswer: -6*a**2*c - 8964*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/((p\/p**(1\/9))\/p)))\/p)\/p**(-2)*p**(-1\/10)\/p**(-1))\/(((((p*p**(-2))\/p)\/p)\/(p**(-1\/4)*p*p))\/(p\/p**(1\/4)*p)**28) assuming p is positive.\nAnswer: p**(10177\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n - 6 = 0. Suppose n*p - p = 1. Calculate the greatest common factor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 12}. Give prob of picking 1 w and 2 y.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 15*h - 207. Solve 10*i**3 + 2*i**3 - 18*i + 12*i**2 - 7*i**3 - h*i**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 7*b**2 + 2*b + 6*b**3 + 0*b + 112 - 23 in the form w*b + p + n*b**3 + i*b**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -6*g + 10*g + 1, 2*r - 14 = -4*g. Which is the closest to g? (a) 0.39 (b) 1 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p - 5 - p**2 + 0*p - 7. Suppose 8 = 3*d + 4*w, -5*d + 93 = -w + 95. Calculate v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 17*x - 13. What is the units digit of h(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 - 12*u**3 + 25*u**2 - 38*u\/3 = 0. Calculate u.\nAnswer: -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 55*g - 155. What is q(-58)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dbbddbbbbbbb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 17, 46, 97, 176, 289, 442?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 91 - 106, 4*i = c - 1804. Calculate the remainder when c is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1147, 1074, 893, 556, 15, -778, -1871, -3312?\n\"Answer: -8*u**3 - 6*u**2 + u + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Suppose -2*y - 10 = 0, -2*y - 9 = u - v. Is 5 a factor of u + 27\/(2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:55 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 - 55520*r**2 - 191763008*r + 6193399808 = 0?\nAnswer: -6956, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 32*h = -12236. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 52. Find the common denominator of -43\/15 and c\/4*((-25)\/18 + 2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929087 is divided by 116.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -3*y**5\/20 - 13*y**4\/2 - 225*y**3\/2 - 972*y**2 + 458*y. Factor b(k).\nAnswer: -3*(k + 8)*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:53 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 32, 61, 100, 149, 208?\n\"Answer: 5*b**2 + 4*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14090 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 300895.9ng?\nAnswer: 300.8959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05756065 rounded to four dps?\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(931) + -1*sqrt(931)*5 + sqrt(931) - ((sqrt(931) - (sqrt(931) + -1 + sqrt(931) - sqrt(931))) + -2)) + 3)**2 + 3)*1.\nAnswer: -168*sqrt(19) + 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 5773.\nAnswer: 5774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 502026 to the power of 1\/2, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 681 = -d + 3*z, -z + 458 = 2*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/124 in -0.5, -1, -5\/9, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136117*l + 136117*l + 4*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 - 5\/6*o**3 - 6*o - o**4 + 0*o**2. What is the second derivative of t(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.3. Let j = -2 - 17.5. Let d = -19 - j. Which is the second biggest value? (a) -0.01 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6595513580.\nAnswer: 2, 5, 23, 877, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1)**(1\/14)*c**(-5)*c**(-2\/11)\/c*c assuming c is positive.\nAnswer: c**(-388\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -257767.39 + 0.5?\nAnswer: -257766.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, -3\/4, -1\/3, 5.5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**4 + g**2. Let j(c) = -2*c**5 - 8*c**4 - 6*c**3 - 4*c**2. Let f(h) = -4*b(h) - 2*j(h). Solve f(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 128 = -7*c - 17*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263732563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**3\/3 - k**2\/2 + 5*k - 2. Let c(r) = r**2 + 3*r + 4. Let h be c(-3). Calculate the remainder when p(h) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 1 + 7*j - 16*j - 2*j**3 + 3*j**3. Let z be l(-7). Let m = z + 163. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6386 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(112) + (sqrt(112) - (sqrt(112) + 1))) - 5*sqrt(112)*5).\nAnswer: -112*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -477*n**2 + 7*n + 476*n**2 - 6*n. Let t = -3 + 0. Let l = 5 + t. Let z(s) = 3*s**2 - 2*s + 1. Determine l*i(a) + z(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 10 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. What is the smallest common multiple of -3*((-10)\/3 + 2) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 1. Suppose -4*y - r = -25, -2*r + 15 + 15 = 4*y. Suppose -y*m = -26 + 6. Suppose 0 = -m*f - 5*k + 5, -2*f - 2*k + 2 = 0. Calculate i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 12*i**2 - 11*i + 1. Let m be x(11). Which is the closest to 0.02? (a) 3 (b) -0.3 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40316 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 8. Suppose -3*y = 4*y - 28. Let w be f(y). What is the units digit of 735\/10*w\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**3 - 4*o**2 - 5*o + 6. List the prime factors of t(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -141 and 78.\nAnswer: -10998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132 - ((-2)\/2 + 3). Let k = x - 53. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Let d(u) be the third derivative of 3*u**4\/8 - 10*u**2. Give z(d(w)).\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 83 - 10 = 4*p, -50 = -3*p - q. Let j = -5 + p. Let h = -25 + 43. What is the greatest common divisor of h and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twttbnbiiibtnitiit. Give prob of picking 1 i and 1 n.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-1)*-3)\/(873\/291).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*q - 2*d + o**2*q**2 + 40*o**2 - 9*q**2 wrt q?\nAnswer: -2*d + 2*o**2*q - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -h + 7, -4*t - 4*h - 4 = 0. Let o be (-4)\/(-4)*t + -2. Let y(b) = -b + 3. What is y(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 - 267. What is the third smallest value in s, 69, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48186524797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -2*r - 3*n, -3*n - 9 = 0. Solve -3*q + 5*k = r, k = -3*q + 4*k - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 36 = -0*t. List the prime factors of (-156)\/t*(-27)\/(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/3 (b) 3\/4 (c) 367\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2 + 29*c + 1422 + 85399*c**4 + 33*c - 64*c - 85388*c**4 + c**3 wrt c.\nAnswer: 132*c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*w + 48. Suppose 0 = -w*u + 68*u - 99. Calculate the smallest common multiple of u and ((-5)\/(-3))\/((-2)\/(-6)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*f + 2. Suppose 2*t + 3*a - 1448 = 4*a, f*t + 4*a - 3646 = 0. Suppose 5*m + 157 - t = -4*c, c = -m + 141. Does 34 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(110) - sqrt(110)*-1*4))\/(sqrt(120)\/sqrt(3) + sqrt(10) - 5*(sqrt(10) + 1*sqrt(10)))*-3.\nAnswer: -1 + 75*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547*x + 16*x**2 - 2*x**3 + 1851*x - 493*x.\nAnswer: -2*x**3 + 16*x**2 + 2905*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) + (-168)\/(-44). List the prime factors of ((-30)\/q)\/((-3)\/6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slssqssslsdq. What is prob of picking 3 s?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c - 12. Let a be r(6). Let j = -31 - -40. Let d be (j\/9)\/((-1)\/4). Put -3, a, 5, d in decreasing order.\nAnswer: 5, -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1333, -5415, -12215, -21733?\n\"Answer: -1359*d**2 - 5*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let q(p) = 2*p**2 + 8*p + 2. Suppose -3*n + 9 = 0, -4*n = -5*i - 8*n + 42. Give i*s(l) + q(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 9 = -4*o - 5*q, 2*q + 8 = 5*o. Suppose -w + o*f - f = -15, -2*w + 3*f + 34 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*v - 2*l*v**2 - 13*l*v + 24*v**2 + v wrt l.\nAnswer: 4*l*v - 2*v**2 - 13*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 5. Let k be -2 + 0 - h - 1 - -3. Suppose 5*s + 2*x = 381, 3*s + k*x + 1 = 241. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385714 is divided by 178?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13886, -27756, -41626?\n\"Answer: -13870*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433621.\nAnswer: 199, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.058 and -884.\nAnswer: -51.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -3*h, 5*i + 14 = 3*h + 33. What are the prime factors of h - (12\/(-15))\/(-2)*-80?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 + 2*g**2 - 2*g + 1. Suppose 0 = -25*w - 14*w + 117. Let f be l(w). Solve -f = q - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.8 + -88. Suppose 40 = -5*c - 5*h, 0 = 3*h - 3 + 18. Let g be 3 + 6*c\/3. Sort 0.6, v, g in descending order.\nAnswer: 0.6, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 11 + 0*v - v + 0*v - 7*v**3 + 5*v**2. Let o(y) = 34*y**3 - 26*y**2 - 6*y + 54. Let l(k) = -14*b(k) - 3*o(k). Factor l(n).\nAnswer: -4*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -0.737426\nAnswer: 8.737426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60728 (base 10) in base 8?\nAnswer: 166470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37613, -37718, -37893, -38138, -38453, -38838?\nAnswer: -39293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/62? (a) 110 (b) -1\/11 (c) 0.029 (d) 3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 6. Let h(w) = 30*w - 4. Let s be h(p). Let n = 35 - 19. What is the greatest common divisor of n and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/343 (b) 4\/11 (c) 4 (d) -0.8 (e) 491\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 664 and 2104.\nAnswer: 174632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-4)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*f**3 - 464*f**2 + 464*f**2.\nAnswer: -178*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 763317*m**4 - m**3 - 19364891*m**2 wrt m?\nAnswer: 18319608*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(-4*p - 1 + 2 + 3*p + 3*p + 0*p - 5*p + (-4 - 2 - 3)*(p - p - 3*p)) to the form a + l*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1803141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33010?\nAnswer: 2, 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 65*a + 66*a, 0 = -3*d - 4*a - 17. What is the smallest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214931116.\nAnswer: 2, 19, 157, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -h + 62, 39*q = 38*q - 5*h - 2. Does 3 divide q\/39 + (-464)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1600, -828, -3260, -5696?\nAnswer: -8136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiqyxyxiyxyxitqyq. What is prob of picking 1 q, 1 a, and 1 t?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1812 and 2982703.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20210369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1)\/5 - (-18)\/40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:24 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(68)\/sqrt(4) + sqrt(17) + -5 + 1.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -47, -56, -61, -62?\n\"Answer: 2*i**2 - 19*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b - 7*b - 21*b)*(0 + 1 - 3)*(2*b + 1 - 1) as k*b + w*b**2 + p and give w.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = -3*y + 3, 3*a - 3*y = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*i**3 - 310*i**3 - 1134*i**3.\nAnswer: -1191*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*c - 51 = 0, 3*p - 9 = 4*p + 3*c. Let a = p - -15. Suppose 0 = -3*m + 4*d - 14, a*d - 1 = -3*m + d. Solve 0 = m*g - 3*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(0\/(-6) + -1)\/(-1). Let l be 2\/4 + -2 + (-9)\/(-6). Suppose 2*p - 1 - 3 = l. Solve 3*v + k = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100000111101000000 + 10?\nAnswer: -10011100000111100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n = 5*p + 4531 - 4397, 2*n = 4*p + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, 4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4303 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 76 (b) -5\/2 (c) -2\/9 (d) 3\/7 (e) -14 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 4)*(693\/(-27))\/(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -819126391.5 to the nearest 10000.\nAnswer: -819130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-5)\/(100\/12). Let r = 1 - -1. Let f(i) = i**3 + 2 - 2 - 5*i - 3 - 1 + i**r. What is f(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2503601 - 5?\nAnswer: -2503606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -353 - -393. Calculate the lowest common multiple of 50 and z.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 18 + 26 + 3*d - 34 + 9*d**2 - d**3. Determine s(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21476 is divided by 62?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/(18\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583437.\nAnswer: 919, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614649 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1419, 1442, 1501, 1614, 1799, 2074?\nAnswer: 2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239091877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55093, 110189, 165285, 220381?\nAnswer: 275477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 404303, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 23*d - 127. Let l be j(-11). Solve -i + 15 = l*g, 5*i + g - 16 = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) + 1 + 1))**2.\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 12*a + a)*(5 - 3 + 1) + 3*a - a - 3*a.\nAnswer: -37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 4*d, 5*h + 29*d - 26 = 30*d. Suppose 4*u - 5 = 5*u, 0 = i - 4*u - 35. What is the greatest common divisor of h and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3 + 3 + 9341*b - 9336*b. Let m(u) = 4*u - 4. Let h(l) = 1. Let r(n) = -4*h(n) - m(n). Calculate k(r(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 3*i**2 - 3*i**3 - 6*i**2 + 14*i**3.\nAnswer: 11*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17654 + 17702. Solve -102 = 18*f - j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 31. Let x(g) = -g + 5. Let q be x(16). Let b be w(q). Suppose -b = 8*i - 349. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110023967 to seven dps.\nAnswer: 0.0011002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(-1) - -90. Let k be f\/14 - 2\/7. Suppose -4*h + 3*j = -8 - k, -5*j - 10 = -4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:41 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349 - -529. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 2*w**3 + 7 - 12 - 4.\nAnswer: 2*w**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3859 + -3731. Calculate the highest common divisor of 3968 and k.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2.3 (c) 1 (d) 56 (e) 0.08 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.32 - -2.82. Sort 11, -3, 7, g in descending order.\nAnswer: 11, 7, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 68136460*r + 68136456.\nAnswer: 4*(r + 1)*(r + 17034114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wgwwgwwg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 12*w - 12. What is the remainder when 25 is divided by c(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/18144 and 69\/4768?\nAnswer: 2703456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:45 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:35 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 3*b**2 + b - 2. Let k be m(2). Let l(d) be the first derivative of -k - 1\/3*d**3 - 3*d + 0*d**2. Find the first derivative of l(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152590000 rounded to the nearest 1000000?\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -229 - 4\/((-12)\/3). Let p = -120 - c. Calculate the greatest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 3. Let i be y(0). What is the closest to 10\/9 in 0.5, 2\/7, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t = -4*h + 67*t + 63, 43 = 4*h - t. Solve -4*r = -11*o + 13*o - 14, -h = -2*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -13. Which is smaller: 2\/3 or c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**5 - 9\/2*i**3 + 0 + 0*i**6 - 29\/42*i**7 + 0*i**4 - 20*i + 0*i**2. Find the second derivative of h(w) wrt w.\nAnswer: -580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -53. Let w be (64\/(-24))\/(192\/(-504)). Put x, w, 5 in decreasing order.\nAnswer: w, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4*l + 0)*(-3 + 2 + 0).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 1 + 8. Suppose 3*s + 54 = s + 2*x, 0 = h*s + x + 73. Find the common denominator of 127\/6 and s\/12*(-12)\/(-80).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -13\/40*v**4 - 16*v**2 - 9\/100*v**5 + 0 + 2*v + 7\/10*v**3 + 1\/175*v**7 + 13\/200*v**6. Find l, given that m(l) = 0.\nAnswer: -7, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4231 divided by -5.\nAnswer: -4231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 89, 90, 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {m: 3, y: 3, v: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + j**2 + 2*j - 2. Let p be r(1). Suppose -p*n - 4*l = -20, -2*l - 8 = -3*n - 0*n. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(sqrt(135) + -6*sqrt(135)*-2)\/sqrt(3).\nAnswer: -312*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 8, -4, -21, -49 in decreasing order.\nAnswer: 8, 5, -1, -4, -21, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103427 divided by -1753.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17)*3 + 5)**2.\nAnswer: 30*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 91, 133, 201, 301?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {m: 6, o: 2, a: 10}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 310955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/3 - 8) + (-4 - (-96)\/9). Let y(j) be the first derivative of -j**3\/3 + 5*j**2 - 10*j + 2. Determine y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*n)*(142 - 17 + 9).\nAnswer: -268*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159\/4 + -40. Suppose 0*o - 4 = -2*o - 4*r, -r + 6 = 3*o. Let y be 39\/(-36) + 1\/3. What is the closest to m in o, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 4. Let x be b(-5). Let m = x - 6. Solve 4 = 3*c - m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293 - -527. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1595 * 0.389.\nAnswer: 620.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829042 a multiple of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262 and 82934921?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0230226 - 0.013014. Let d = 0.01 - s. Round d to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 11)*(-54)\/231. Which is bigger: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6)*l*l)\/(l*(l\/((l\/(l*l*l**(-5)\/l))\/l))\/l))\/(l\/((((l\/(l*l**0*l))\/l)\/l)\/l*l)*l)**(6\/23) assuming l is positive.\nAnswer: l**(-30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1741*y - 872*y - 6 - 2*y**3 - 873*y - 4*y**2. Suppose 0 = 4*o - 16 + 4. Let f = o + 1. Let l(a) = a**3 + a**2 + a + 1. Give f*l(i) + q(i).\nAnswer: 2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171)*2*-6 - (1 + (sqrt(171) + 1 - sqrt(171) - sqrt(171)))) + (sqrt(171) + sqrt(171) + 5 + -5 + sqrt(171) + 4)*5)**2.\nAnswer: 432*sqrt(19) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, -119, -249, -321?\n\"Answer: 29*g**2 - 275*g + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 11 = d - 3*d, 4*m = -5*d + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose 24 = o*f - 4*b, 3*f - 4*b = -2*f + 26. Let u(x) = 158*x**3 - 2*x + 1. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-84) - (-34)\/(-119).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - s = -0 - 7, -2*s = 3*y - 9. Find the second derivative of -5 + y - 3*w**4 + 2*w wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 22. Let i = -19 - r. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 537*4\/(60\/155). Suppose -22*r = 27 - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 878 - 745. Suppose 130*s = v*s - 21. Solve s = -g + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-5)\/20*(-8)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3*u**5\/20 + u**4\/12 + u**3\/6 + 327*u**2\/2 - u + 147. What is the remainder when q(0) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11131 divided by 3553.\nAnswer: -11131\/3553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*4 + (sqrt(14) + sqrt(42)\/sqrt(3))\/sqrt(7).\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*u - 4*d, 5*u - d - 3 = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 311619 and 98406?\nAnswer: 1869714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 388217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404.2 + 404. What is the nearest to d in 1, 1\/2, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, x: 1, m: 8}. What is prob of picking 4 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200 + 468 = 4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529094069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/287 or 0.0734?\nAnswer: 45\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28945647 is divided by 2816.\nAnswer: 2799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85215673\/291 - 292838. Let d = 3\/97 - h. What is the fourth smallest value in 5, -2, d, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 52 + 32 = 0. Suppose 5*d - 4*k - 393 = 0, -2*d + 2*k = -0*d - 158. Calculate the remainder when d is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2052716 (base 9) to base 14.\nAnswer: 208091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - i + 5, 5*f - 5 = -0*i - i. Let h = -13330 - -13357. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -36. Suppose 0*n = g*n + 7161. Let q = -1068 - n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 - j**2 - 4*j + 3. Let p be n(2). Let o = p + -45. Suppose -o*z + 3*z = 33. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 214 + 66 = 0. Solve 0 = -t - 4*z - 14, 5*z + h + 26 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.93 + 1.953. Let h = i + 1. Round h to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -4*l + 4816, 16*z - 3776 = -3*l + 18*z. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214646 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101111 - 110100100110111?\nAnswer: -110010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -796, -1548, -2248, -2896, -3492, -4036, -4528?\n\"Answer: 26*l**2 - 830*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 325. Put 5, d, 3, -3 in increasing order.\nAnswer: -3, 3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/360 + y**5\/9 + 17*y**4\/72 - 19*y**3\/9 - 14*y**2 - 4. Suppose t(q) = 0. What is q?\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/3 + 15*n**2. Let c(t) = 73*t - 6. Let q(g) = 47*g - 4. Let i(a) = 5*c(a) - 8*q(a). Calculate m(i(y)).\nAnswer: -88*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let d = -17 + 19. Calculate the remainder when s is divided by 3 - (12\/3)\/d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1, g: 1, l: 3, c: 2}. Give prob of picking 1 l and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824481 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 62532*n + 124894. What is u(-2)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r + 33. Let f be c(-3). Let a be f\/1 + -6 + 3. Solve -4 = 2*g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 60*d**2 + 6*d + 16. Calculate j(-15).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151081 = 970*u - 963*u. What are the prime factors of u?\nAnswer: 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -76, -149, -292, -529?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 28 + 4 = 0. Find the second derivative of -15*j**4 + 2*j - 70*j - 66*j - 66*j**u wrt j.\nAnswer: -972*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*d - 5 = 1, -d - 4 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -438 (c) 13 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/10 + (330\/50 - 6). Sort q, -24, -4 in ascending order.\nAnswer: -24, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - j**2 + 2*j - 1. Let y be q(1). Suppose -2*x - 6 = d, -23 - 1 = -2*d + y*x. Solve 7*v = d*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 32 (c) -50844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzryr. What is prob of sequence drry?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288084933 divided by 3?\nAnswer: -1288084933\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12 and 35\/(-24)*(-722)\/399.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = -7 - 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -75895\/69 not equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2*4\/((-16)\/4). Which is the nearest to t? (a) 1 (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5759.\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/(y*y**2))\/(y\/y**(-2\/3)*y**1) assuming y is positive.\nAnswer: y**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f = 47*f - 883 - 287 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-3)\/(-72)). Suppose -2*u + 4*u - 4 = n, w = -u - 3*n. Suppose -5*b + u*b - 36 = -2*a, 2*b = -4*a. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*s**5 - 3*s**2 - 6.\nAnswer: 3480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-448573)\/(-15) + -2*9*7\/(-945).\nAnswer: 5, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 55 = 5*n, n = 4*s - 63 - 16. Suppose 5*z + 3*g + 0 - s = 0, 3*g - 12 = -3*z. Solve z*v = -18 + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -558 - -559.71. Round f to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + t = -214, 0 = -u + 2*u - 5*t + 82. Which is greater: u or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.968 - -0.568. Let q = -0.8 - 0.2. Let x = -0.5 - q. Which is the closest to 1? (a) l (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a18 (base 11) to base 14\nAnswer: 5ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n + 10. Give f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1216938804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6843, 6482, 6121, 5760, 5399?\nAnswer: 5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42303.36814 - -42303. Round x to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:23 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g**2 - 92*g**2 - 88*g**2 + 381*g**2 - 95*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by 8\nAnswer: 89\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45*9*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 279*k - 280. Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -17*y**6\/30 - 19*y**2\/2 + 5*y. What is the first derivative of q(n) wrt n?\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.288 or -1?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4029*g - 5 - 459 - 685 - 6 + 270 wrt g?\nAnswer: -4029","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(0 - (-2)\/28). Suppose j = 0, 0 = d - k*j + 6*j - 30. What is the least common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1059 + 678. Let z = -928 + 20423\/22. Calculate the common denominator of q\/54 + (-5)\/15 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 12*b)*(-b + 2*b + b + (-3*b + 4*b + 0*b)*(-3 + 2 + 4) + 4*b + 4*b - 4*b)*(b**3 - b**3 - 2*b**3).\nAnswer: 216*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-277.5.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 290, 291, 292, 293, 294, 295?\n\"Answer: i + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-12 + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 151 + 7 = 0. Suppose -4*n - n + 30 = 0. What is the first derivative of a*o - n*o - o + 3 - 4*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16578 = -54*l + 145*l + 830*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 + 8*q + 57. Is x(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4, 5 in ascending order.\nAnswer: -49, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*g, 4*x - 2*g - 2*g = 12. What is the common denominator of ((-86614)\/(-792))\/(-31) - ((-2)\/1)\/(-8) and 2 + x + 273\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 457562 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/130 + 5*q**4\/26 + 16*q**3\/13 - 64*q**2\/13 + 568*q. Factor i(t).\nAnswer: 2*(t - 1)*(t + 8)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*m - 8*m + 8*m + 19*m.\nAnswer: 125*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1266083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 84152598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Solve 3*g - 12 = -d*l + l, -4*l = -g + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, 5, -1, -0.6 in descending order.\nAnswer: 472, 5, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.48 - -1.94. Let g = -11.02 + 11.1. Let j = g + l. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - -25 - 2 - (339 - (-428 - -753))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2760 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -l + 26. Let c = l - 45. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3025158, -3025157, -3025156?\nAnswer: -3025155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 990351511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -640025?\nAnswer: 640030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 3*s - 124 + s**2 + s in the form w*s + v*s**2 + j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 3720 + 17724. List the prime factors of k.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2180 + 991 + 1188 - 193*v.\nAnswer: -193*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-116)\/(-3) + 4\/(-6) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f + 53*f - 2*f**2 + 165*f + 24*f - 42*f.\nAnswer: -2*f**2 + 331*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3701 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2079 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - 125890\/(-40). Suppose s + v = 287. Let t = 4791 + s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116 or 21906?\nAnswer: 21906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-5950)*-1204*-3*10\/(-6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**3 + 1286*k**2 - 1617*k + 495. Give p(-162).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 - 302131*a**3 - 30431439090*a**2 - 1022212050948036*a - 37780200546930504 = 0.\nAnswer: -100698, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019386 rounded to four dps?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4844 divided by 346\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Let n = 4 - w. Is -3 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 276452?\nAnswer: 276452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - f**2 - 4*f**2 + f**2 + 2*f**2 - f**2 + (2 - 3 + 3)*(-3*f**2 + 3*f**2 + f**2) + 0*f - f**2 + 0*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/12 + x**2 - 6*x. Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28982*s**2 - 86726*s**2 - 2*s + 2*s + 28779*s**2 + 28971*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114037 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 3\/(15\/(-10)) + (10 - (4 - 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2 + 1)*(-65)\/(-10). Let c be r\/(-65)*(-5)\/79. Let a = 4 + -3. Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = z - 4 - 15, -16 = -4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 6 = 18. Suppose -4*y + 2851 = 5*q, -2866 = g*y - 7*y - 2*q. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -2)*(-3 + 4). Suppose 6 = -k*q + 2*q. What are the prime factors of 21\/q + 1*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {d: 5, m: 1, w: 2, o: 1, j: 4, a: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 32 = 3*u, -55*u = -57*u + 4 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbrffffsffbrbsf. What is prob of picking 2 b and 1 r?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -802932*f**5 + 31*f**4 + 2*f**3 + 31*f**2 + 8062219*f wrt f.\nAnswer: -48175920*f**2 + 744*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/33 - 262\/429. What is the closest to 2\/9 in 0, 2, -1\/4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-259*p - 225 + 225)*(1 + 5 - 16) in the form h + u*p and give u.\nAnswer: 2590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*g - 8880 - 21739, 2*h + 2*g - 12244 = 0. Suppose t - h + 1353 = -3*x, -t - 7956 = -5*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24a + -283463?\nAnswer: -2836b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 + 279 = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 405 + -375. Solve r = 3*r + 4, 5*l - b = 5*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -56, -78?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 19*p - 13 + 9 to c*p + d and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/3675)\/(1\/(-20))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f - 81*f + 12165 = 0. Let l = f + -799. Is l at least as big as 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - 1056\/(-240). Suppose 2*j + 123 = n, -572 + 98 = -k*n - j. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:00 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:33 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/(-7) + 16\/56. Find the third derivative of 2*l**5 - 9*l**3 + 9*l**m + 4*l**2 - 3*l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u + 9. Let i(p) = p + 1. Let k(m) = 18*i(m) - n(m). List the prime factors of k(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -3 (b) -2 (c) -4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from {u: 1, e: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124742 - -181838. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 18225*p**5\/2 - 17415*p**4\/2 - 3195*p**3 + 1890*p**2 + 820*p + 80 = 0.\nAnswer: -4\/15, -2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11*i + 5992 = 0. What is the third derivative of a**5 + i*a**6 + 2*a**5 - 436*a**6 - 46*a**2 wrt a?\nAnswer: -960*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274873?\nAnswer: 17, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 + 19*w + 9. Let v(g) = -7*g**2 - 21*g - 8. Let f(l) = 6*c(l) + 5*v(l). Calculate f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-168 - -168)\/(1 - (5 - 1)). Solve s = 12*r - 4 + 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 28*q = -6, q = -f - 15 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**3 - 7587*x**2 + 5700*x + 1899 = 0. What is x?\nAnswer: -633, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 5*y + 2. Let g be j(5). Suppose -14 - 214 = -g*h. Suppose 0 = -m + h - 48. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*y - 386152617 + 61293397 = 441088447. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 171*n + 19*n**3 - 19*n**3 + (0 - n**2 + 0)*(2 - 2 - 2*n) in the form f*n + i + r*n**3 + p*n**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*36\/(-42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 38*n = 2*z, -5 = z - 2*n + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 + 2636\/(-6). Let j = -260 - o. Suppose -9 + 1 = 2*c, -3*v + 5*c = -j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + (-6 - (-364)\/12). Suppose 3*n - a = 2*a - i, n + 4*a = -13. What are the prime factors of (2\/9)\/1 - 1438\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h. Let w = -17 + 30. Let x(j) = 11*j**2. Let l(u) = -5*u**2. Let d(y) = w*l(y) + 6*x(y). Determine m(d(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - -71 - 76 - (0 + -1 - -4).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 4*r + 7. Let q(g) = -2*g**3 - 2*g**2 + g. Suppose -2*j = -3*j + l - 1, 2*j - 4*l = 0. Let x be q(j). What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4895 + 4973. Calculate the highest common divisor of 8775 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0802 to two decimal places.\nAnswer: 8.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41729, 41802, 41875?\n\"Answer: 73*i + 41656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1360*j + 1362*j - 2723*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12473?\nAnswer: 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) - sqrt(50))*-5 + sqrt(20)\/(sqrt(10) + (sqrt(120) - sqrt(120)*-1)\/sqrt(12)).\nAnswer: -224*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997058194 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*g + 297*g + 315*g - 29 + 5 - 24 wrt g?\nAnswer: 423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (147\/(-6))\/(-11 + (-182375)\/(-16580)).\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:52 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 7. Let y(q) = 5*q - 11. Let k(c) = -3*c - 107. Let n be k(-34). Give n*y(a) - 8*j(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*b + 88*b - 40. Let z(y) = -5*y + 13. Give z(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/6)*n)**(2\/49)*(n\/(n*n**13*n)*n)\/n*n*((n**2*n)\/n*n)\/n assuming n is positive.\nAnswer: n**(-1616\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/4 + 44697*b\/2 + 29879091\/4 = 0.\nAnswer: -333, 89727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 plus 2662.87?\nAnswer: 2662.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0452392 litres to millilitres.\nAnswer: 45.2392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 + 2*c + 3. Let k be v(-2). Let l be (-52)\/(-16) - k\/(-4). Suppose -3*w = -2*x + 2264, l*w - 2291 = -2*x - 51. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 31. Let l = g - 30. Factor l + 0*x + 1\/5*x**5 + 0*x**3 + 1\/5*x**4 + 0*x**2.\nAnswer: x**4*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 5*n, -n = 0. What is the remainder when 44 + (-2)\/(2 + c) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:21 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889316 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10563 = -44*x + 29043. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5 + -1 + sqrt(80)*1*-5)**2)*1.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 132408 (base 9) to base 10\nAnswer: 80522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.705059 minutes to microseconds.\nAnswer: 462303540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 18. Let b be 2*(y + (-36)\/8). Let v = 33 + b. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -40. Let c be 3\/(72\/(-21) + x). What are the prime factors of -4 - -2 - (-8 + c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-55) - 3045\/319.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*(-27)\/(-48). Which is smaller: -1.4 or l?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*-1*6. Let y = -3.02 - -0.02. Let g = -2.9 - y. Which is the smallest value? (a) g (b) w (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(15)\/sqrt(3) - (-2 + 0 + sqrt(5))) + sqrt(20)\/(sqrt(4) + sqrt(484) + 2*sqrt(484) + sqrt(484) + sqrt(484)).\nAnswer: sqrt(5)\/56 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 728, 2416, 5230, 9170, 14236, 20428, 27746?\n\"Answer: 563*z**2 - z + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 2013873747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 + 362*s + 22. What is w(13)?\nAnswer: 1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525 = -5*t + 2*w - 508, -t + 5*w = -8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 99362*f - 1589794. Calculate i(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 23045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-60))\/(9\/(-12))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -1\/60*q**6 + 0 + 1\/168*q**7 + 1\/24*q**4 - 1\/24*q**3 + 0*q**5 + 0*q**2 - 3*q. Factor f(h).\nAnswer: h*(h - 1)**3*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:43 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 1. Which is the third biggest value? (a) 5 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560624870?\nAnswer: 2, 5, 13, 4312499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 92*z - 8428. Calculate l(92).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let r(p) = -p + 7. Let a = 3 + 2. Let y be r(a). Suppose y*j = 2*s + j - 5, 0 = -5*j - 15. Let u(k) = 3*k**2. Determine s*b(o) + u(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*a + 202*a + 14769. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/7 - 30*v**4\/7 - 10725*v**3\/7 - 23760*v**2 + 53676*v = 0. Calculate v.\nAnswer: -42, -21, 0, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three eighths of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -535240 (base 9) to base 11\nAnswer: -1a8552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15549627893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -10, -15.7, 0.5?\nAnswer: -15.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*h = -0*h + 5*w, h - 3 = -5*h + 3*w - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {w: 6, g: 1, s: 1, d: 4, i: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, 5, 4, -117, 645, 1 in descending order.\nAnswer: 645, 5, 4, 1, -3, -20, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10048 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/14 + r**2\/7 + 12. Factor f(u).\nAnswer: -2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1299 + 4187 = 2*y. Let w = y + -467. What are the prime factors of w?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from fdsfbddfssssssfkss?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412999 is divided by 82585?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -44?\nAnswer: 69\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 + 500 = 50*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 - 1127985?\nAnswer: -1127878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -38119 (c) 1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**7\/168 + g**6\/36 + g**5\/24 - 11*g**3\/3 - 23. Let t(r) be the third derivative of a(r). Solve t(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 23 - 7 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 - 5 - (-522)\/(-88) and 37\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + j + 5 = 0, -4*f + 10 + 6 = -5*j. Let y = -9 + f. Suppose y = -5*z + 22 - 7. Solve -3*c - 12 = -z*n, 2*c - 3*c - 3*n = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 334 = -209. Let j(u) = 2*u + 60. What is j(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*8\/18 - -115*(-656)\/3690?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 7 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14247468 divided by 1583052\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -174. Let m(h) = -2*h - 18. Let c(s) = -2. Let b(k) = n*m(k) + 5*c(k). What is b(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 2\/11, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f - 15. Let l(a) = -3 + a**f + 5 - 5*a**3 + 5*a**3. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Let n(i) = -38*i + 18. Let w be n(-2). Suppose w = z - 4*f, -5*z = p*f - 460 - 10. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, -3, -5, -32 in descending order.\nAnswer: 0, -2\/5, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -2)\/(-3) + -10. Let j = -8 - c. Let i be ((-6)\/(-9))\/(2\/6). Solve -i = j*g + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 604650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647338, 647321, 647302, 647281, 647258, 647233, 647206?\nAnswer: 647177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(36))\/((sqrt(189)\/sqrt(3))\/sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 300. Calculate r(-49).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596244?\nAnswer: 2, 3, 19, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1137789839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let l(j) = 2*j + 8. Let c be l(-6). Let t be q(c). Let k(f) = 3 + 2 - 5 - 4*f + f**2 + 3. Calculate k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1 + -27. Suppose 3*b + m = 4*b - 6, -2*m = 3*b - 8. What is the nearest to h in -8, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -29. Which is bigger: -2\/207 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1314458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 1. Let x(r) be the third derivative of r**4\/6 + 7*r**3\/6 + 598*r**2. Calculate 2*f(h) - x(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/8 + 207\/10. Let z = n + -21. Is 1 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, i: 5, f: 5}. Give prob of sequence flfi.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 + p + 6. Let m(s) = -10 + 162*s + 164*s - 325*s. Let w be m(7). Let h(d) = -2*d**3 + 3*d**2 - d - 5. Determine w*u(y) - 4*h(y).\nAnswer: 5*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89673429 by 933.\nAnswer: 96113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 27. What is m(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -155, -10 in decreasing order.\nAnswer: 5, -10, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 + 3 = -5*k, 2*m - 4 = 4*k. Suppose k = -3*p + 43 + 29. What is the units digit of p\/9*(1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-174)\/(-56)*(-21)\/(-6). Let m = h + -21. Determine x so that -m*x**2 - 3 - 3*x = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5 + 7*c**4 + 5*c**3 - 75*c**2 = 0?\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4 - 308\/(-56). Solve x*q - 4 - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oocoooccccoo?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/10 + 2*s**2 + 14. Let o(b) = 5*b + 31*b - 8*b. Give d(o(c)).\nAnswer: -4704*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/20 + (-68)\/(-10) + -1. Solve -5 = -c + v*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1864520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -139*r**2 + 240*r + 1025. Calculate x(-4).\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -276, -386, -558, -822, -1208, -1746, -2466?\n\"Answer: -5*u**3 - u**2 - 72*u - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/86 and -53\/1738.\nAnswer: 74734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 33)\/(-3)*3\/(-6). What is the third derivative of 26*g**a + 2*g**5 - 10*g + 2*g**2 - 3*g**2 + 45*g**5 wrt g?\nAnswer: 4380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l - 2*l + 3*l)*(-2 + 1 - 1) + l + 2*l - 2*l)*(128*l**3 - 13741 + 13741).\nAnswer: 384*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 41865 = -26*k + 5*f, 0 = 2*f - 4. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(1\/8)*g)*g**(-3\/4)*g**(4\/9)\/(g\/(g\/(g\/g**(7\/5)*g))) assuming g is positive.\nAnswer: g**(-371\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 28*w**3 + 0 + 6.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 462.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54.9912 litres?\nAnswer: 54991.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 - 2*w + 10. Let y be c(7). Let d be (1\/y)\/((-4)\/(-24)). Let r = -25\/14 - d. Do r and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-19)\/(513\/(-3537))).\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 - 103. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -4*d + 6 = -2. Let a(r) = y*r**d - 5*r + 5*r + 0*r. Let o(f) = -4*f**2. Give o(a(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141 divided by 68?\nAnswer: -1141\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w = -192*w + 158*w - 1469 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347650 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(4 - (1 - -1)). What is the nearest to 0.1 in 8, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17\/(561\/242)*(6 + -1 + 61) and 166?\nAnswer: 40172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122545 + -64606. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (542\/(-27))\/((-1)\/(-3)). Let w = l - -60. What is the smallest value in w, 2, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120100 + -11?\nAnswer: -120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-28))\/(15\/(-14)))\/(6\/720*-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 237\/5 - 68\/170. Suppose -u = n - 193, -5*u = 2*n + n - 955. Calculate the highest common divisor of u and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3121*h = 3124*h - 33 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 2273*k**2\/6 - 6037*k\/2 - 6795\/2.\nAnswer: -(k - 2265)*(k - 9)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1108 - -1186. Which is bigger: f or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -3. Let s = l - 1. Find u, given that 0*u + 0 - 1\/2*u**5 + 0*u**4 + 0*u**3 + 0*u**s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27487 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**4*w))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -1\/5*d**5 + d + 0*d**4 - 5 + 0*d**2 + 0*d**3. Find the first derivative of c(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -34*w**2 - 18*w + 45. Let j(t) = 18*t**2 - 1. Let g(d) = -c(d) - 2*j(d). What is g(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 10*j - 8. Let c = 6 + -2. Let h(q) = 2 + c*q**2 - 7 + 15*q - 10 + 3. Let f(a) = -5*h(a) + 7*p(a). What is f(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1163159607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46611, -93180, -139749, -186318, -232887, -279456?\n\"Answer: -46569*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*(sqrt(1573) + 2) + 1 - ((sqrt(1573) - (sqrt(1573) + sqrt(1573) + -1 + -2)) + sqrt(1573) - ((sqrt(1573) - 1*sqrt(1573)) + -5))))**2.\nAnswer: 968*sqrt(13) + 25289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3*w + 23746*b**3 - 521*w wrt w.\nAnswer: -3*b**3 - 521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -144494 + 2?\nAnswer: -144492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**2 - 5*j + 8. Let b(m) = 13*m**2 + 9*m - 8. Let q(i) = 4*b(i) + 5*w(i). Let z(p) = -2*p**2 - 10*p - 7. Calculate 6*q(a) + 7*z(a).\nAnswer: -2*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003663392 to six dps.\nAnswer: -0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -711 - 7215.8256.\nAnswer: -7926.8256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245033 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 + 18566*f - 129564. Give u(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:47 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 20. Let a be 3\/(-18) - ((-5285)\/f)\/7. Find the first derivative of 1 - a + 4*g - 5 - 10*g wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/27 - 128\/(-72)) + 26. What is the highest common factor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5745 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-4 - -1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17255274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -57\/90503 in decreasing order.\nAnswer: 1, -57\/90503, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4)*(-1089)\/1815 - (-6)\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -9, 4, 5 in decreasing order.\nAnswer: 7, 5, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(208) + 1)**2*2.\nAnswer: 16*sqrt(13) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19628797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*k - 50, -5*s = 2*k - 0*s - 8. Suppose -k = 3*p - 23. Sort 5, 0, p, -4 in decreasing order.\nAnswer: 5, p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8\/9*o**3 - 2\/3*o**5 + 0 + 32\/3*o - 152\/9*o**2 + 34\/9*o**4 = 0.\nAnswer: -2, 0, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + g - 1 + (-2 + 5 - 2)*(3*g - 5*g + 4*g) - 4*g + 5 - 4 - 3*g.\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-255)\/(-18)) - 154500\/4250 - -6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 42*f - 4799. What is z(115)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53)\/(5936\/(-2176)) - 19. Factor 1\/7*f**4 - 5\/7*f**2 - 1\/7*f**3 + 0 - p*f.\nAnswer: f*(f - 3)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 19. Let t(v) = -v**2 - 14*v - 16. Calculate the remainder when y is divided by t(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 70*a - 111. Let z(r) = -7*r**2 + 151*r + 221. Let g(w) = -9*y(w) - 4*z(w). What is g(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -595.\nAnswer: -59.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39534*b**2 - 51347*b.\nAnswer: -79068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 5. Suppose -5*c = -0*a - 2*a - 24, 0 = 4*c + 5*a - 39. Find the third derivative of -4*s**c - 7*s**2 - s**6 + 2*s**k wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + -16 + 29. Find the first derivative of -185 - q*g + g + 3*g**2 - g + 168 wrt g.\nAnswer: 6*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 10*t - 4*t + 6 + 9*t + 3*t.\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3\/5, -0.5, -1.6.\nAnswer: -1.6, -3\/5, -0.5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 1625.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 0*w**3 - w**3 + w**2 - 1 - 6 + 2*w. Is r(5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-2 + (-12)\/(-4))*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1698320336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 37806104*n + 178662687457352.\nAnswer: 2*(n + 9451526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*w + 13. Suppose 3*y - 7 = 2*r - 2, 0 = w*r - 25. Suppose 3*v - y*a - 66 = -0*v, 0 = a. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 0.4, -9, -2, 1\/5, 241?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let j = -79 - -84. What is the third biggest value in j, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -10. Suppose a*i - 2*i = -25. Let t(p) = 11*p**2 - 9*p - 5. Let k(x) = -5*x**2 + 4*x + 2. Let s(o) = i*k(o) - 2*t(o). Factor s(l).\nAnswer: l*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 m, and 1 g when four letters picked without replacement from {g: 1, u: 4, w: 2, m: 3, q: 9}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + -2.99. Let k = 0.61 + -0.41. Let z = 26 + -30. What is the closest to k in 3, z, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 11. Let h be 5\/(-5) - (6 - 1). Calculate o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189680 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**3 + 0*t + 13\/360*t**5 + 1\/720*t**6 - 136*t**2 + 0*t**4 + 0. Let n(w) = 0. Calculate w.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -18) + -9 + -13 + 1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2383 + 2476. What is the remainder when 260 is divided by r?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4 - 4, f = -3*p - 3. Let r = 2 + f. Suppose -l - 5 = -2*u - 3, 8 = 2*l + 2*u. What is the smallest common multiple of r and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(17*y**2 + 42*y**2 + 22*y**2)*(2*y**2 - 2*y + 2*y).\nAnswer: 324*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1)**2*6 + -2*(0 + sqrt(272)).\nAnswer: -8*sqrt(17) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*c - 316*c + 143 = 327*c - 305 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -45, -0.3, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1111 + -1035. What is the smallest common multiple of h and 356?\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - 37) + (-7 - 6) + -14.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) 0.04 (b) -0.5 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqb when three letters picked without replacement from bpqppbrpebpy.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/24 + d**3\/2 - d**2. Let n be a(0). Suppose -10 = 2*z - n*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75538426, -75538432, -75538438, -75538444, -75538450, -75538456?\n\"Answer: -6*j - 75538420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * -50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4030 divided by 130\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2\/2 + 62*v - 12. Is u(0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a factor of 5549990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t - 11. Determine w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*s - 91 = -107*s. What is the nearest to -2 in 1, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*v = 704*v - 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -7*q + 3*q - 3, 0 = -2*y - 5*q - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*14\/105.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:27 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328669767*j**3 - 657339529*j**3 + 328669763*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 472.2037m?\nAnswer: 0.4722037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 15. Let v = 16.69 - -0.31. Let l = v - z. Which is the third biggest value? (a) l (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 613*i - 302*i - 306*i + 5, -i = 5*x + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 580143.6km to nanometers.\nAnswer: 580143600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v + 6. Let h(s) = s**2 + 2*s - 4. Let r be h(-5). Suppose 6 = -i + r. Let w be f(i). Solve -4 = -w*n + 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 88, 227, 478, 877?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5866438 - 5866399.00037. Let s = 39 - b. What is s rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 0) + 1 + 17 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/8 + 425*c**3\/2 + 5925*c**2\/4 - 425*c\/2 - 11851\/8 = 0.\nAnswer: -1693, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/((-5)\/(-16)*8). Suppose 0*k + 15 = -k. Let m = -11 - -31\/3. Which is the nearest to k? (a) d (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2772)\/(-792)*(-6)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -72, -92, -114, -138?\n\"Answer: -v**2 - 15*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45505 divided by 1?\nAnswer: 45505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l - 439 = -744 - 658 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4887, -20133, -45543, -81117, -126855?\n\"Answer: -5082*t**2 + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 61*m**2 - 1296*m + 2346. Calculate f(-78).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/21))**(-22\/3)*((k**(-19)*k)\/k)\/(k\/(k**(-8\/9)\/k)) assuming k is positive.\nAnswer: k**(-1423\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1763.1 times 1\nAnswer: 1763.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 2*w**2 - 15*w + 25. Let b be j(2). Calculate the greatest common factor of b and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**38*(n*n*n\/n**0*n)**34)\/(n**(-6)\/(n**(-7)\/n)*n**(5\/3)\/n**6) assuming n is positive.\nAnswer: n**(187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -v - 2*v. Let x = v + 18. Let j = -1609 + 1616. Calculate the lowest common multiple of x and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34100, 34084, 34054, 34004, 33928, 33820?\n\"Answer: -g**3 - g**2 - 6*g + 34108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -39. Let q(u) = -2*u**3 - 2*u**2 + 3*u. Let i(a) = -10*a**3 - 10*a**2 + 14*a. Let r(c) = k*q(c) + 6*i(c). Let r(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 284, 425?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50668, -101293, -151918, -202543, -253168?\n\"Answer: -50625*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66 + ad3?\nAnswer: b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3315 - -3323. Sort 0.02, 0, -0.5, 4, g.\nAnswer: -0.5, 0, 0.02, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14630916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 213940.21 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 63 - ((-1 - 1) + 6 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-45 + (39 - 40))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1112 + 13534?\nAnswer: 15050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 4*a + a + 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1164\/19 <= -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(6\/13)\/n*n))\/n*n**(13\/5)*n)\/((n\/(n\/n**4))\/((n*n*n**(3\/8)*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(1827\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.024 + -21.624. Put -0.03, k, 4\/5, 3.7 in increasing order.\nAnswer: -0.03, k, 4\/5, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 5*d + 7426 = 14*b, -3716 = -b - 3*d. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 1:27 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -19) + -4 + 14 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4839 + 4917. Which is smaller: 96 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14310*d**3 + 9573*d**2 + 2 wrt d?\nAnswer: 85860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3031599 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 78 - 86 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 5*y - 3*y)*(y + 2*y + 2*y) to s*y**2 + v + l*y and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b + 57 = 87*b. Let s = 53 + b. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 17*q**2 - q - 6. Let g be a(-17). Let n(f) = 6*f - 17. Calculate the remainder when 194 is divided by n(g).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + (-2)\/2*163. Let x = l - -336. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - 2. Let b be k(-2). Let n(r) = 2 - 7 + 4 + b. Let x(a) = a - 10. Give 18*n(u) + 2*x(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 111, 103, 95, 87, 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*h + 3405*g**3 + 227*g**2*h with respect to h.\nAnswer: g**3 + 227*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y - 7. Let h be v(-7). Solve 0*r + r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.13 + -0.13. Let f = y - 4. Let q = 4.239 + 0.761. What is the second smallest value in -0.07, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 9343640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 2\/3 in descending order.\nAnswer: 5, 2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799.\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(4 + -3*sqrt(612)*4 - (-4 + 2*sqrt(612)*6))**2.\nAnswer: -10577280 + 69120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67890 divided by 11315.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622*d + 3*d**3 - 603*d + 1846*d - 621*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/5 in 0.5, 20, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6267)\/6 + (-15)\/(-6) - 1. Is -1046 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -9889906 divided by -186602\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3373325078 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351137176 and 12597?\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37235, 37239, 37245, 37253, 37263?\nAnswer: 37275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:32 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38675676 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(340\/50 + -7). Solve d*g + 4*a + 16 = 0, -g - 5*a + 0 - 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 5571 + 5718 + 69*h + 5725 - 17014.\nAnswer: 106*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**3 - 1837*f**2 - 68216*f - 71760.\nAnswer: -(f + 60)*(f + 92)*(12*f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 934.5024m in micrometers?\nAnswer: 934502400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -512884.4 and 0.4.\nAnswer: -205153.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10457061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Let f(o) = o**2 - 6*o + 3. Let b(j) = f(j) + 2*i(j). Let y(k) = k - 1. Let s be y(7). What are the prime factors of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (2 + 52\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31280 + -31280. Which is the closest to v? (a) -2 (b) -0.2 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110022000 (base 5) in base 16?\nAnswer: -72cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.95 - -0.75. Let k be 10\/16 + (-1)\/2. Put 0.2, k, z in increasing order.\nAnswer: z, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -5b3?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/4)\/(((-10)\/95)\/(-18*(-224)\/(-4788)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38484554 is divided by 1480173.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*d**3 + 7*d**2 + 1309*d.\nAnswer: -390*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0 + 32\/3*r**4 + 2\/9*r**5 + 736\/3*r**2 + 1244\/9*r**3 + 1058\/9*r = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 + 451. Sort -4\/9, p, 2\/5 in ascending order.\nAnswer: -4\/9, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1810)\/(-4305) - (2 - 11\/7). Are z and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12701 + -7?\nAnswer: -12710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from xsxsxxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v - 1. Let t be m(-4). Let n = -21 - t. Suppose -o + 2*o - n = 0. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -15. Suppose 115 = 33*q - 17. Find the third derivative of -y*i**2 + 9*i**4 - 5*i**q + 8*i**4 + 0*i**2 wrt i.\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3988? (a) 3 (b) -3\/2 (c) -0.3 (d) -0.02 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f + 2*f**3 - 4*f**3)*(21*f**2 + 9*f - 9*f).\nAnswer: -42*f**5 + 42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298356 and 15134.\nAnswer: 2088492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -49*j. Suppose -5*v + 2*p + 388 = -j*p, -96 = -v + 5*p. List the prime factors of (2 + -2)\/4 + v*1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481 - 527.4. Let m = -46 - h. Let i = 0.3 + -0.4. What is the biggest value in i, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 126c?\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*z**4 + 281*z**3 + 2*z**2 + 12604*z?\nAnswer: 1128*z + 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2 = 5*z, -2*z + 14 = -3*z - 3*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (98 - (13 + 58)) + 23 + (-1 - -1) + 6?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-2)*37\/37.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017884?\nAnswer: 2, 3, 11, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23352*l**2 + 40 - l + 13*l**3 + 23308*l**2 + 3152*l**4 - 13*l**3 wrt l?\nAnswer: 75648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 5*g - 18 = 0. Suppose 4*l = -4*m - 26 + 78, 42 = g*m + 2*l. Calculate the highest common divisor of m and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77815*o - 77582 wrt o.\nAnswer: 77815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = -4*x, -2*w - 5*x - 10 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/100 + w**4\/40 + w**3\/5 + 2*w**2 + 33*w. Let y(t) be the first derivative of u(t). Solve y(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1201527602 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = 3*d, 2*d = n - 0*d. Let h = n - -7. Suppose 0 = h*p + 2*p - 168. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 1. Let v = -112 + 187. Let j = v + -70. Which is the third biggest value? (a) z (b) j (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*t + 8132, -o + 4*t + 4092 = -0*o. Suppose -2*y - o + 276 = 0. Let m be ((-16)\/(-10))\/(8\/y). Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m - 4. Let d(a) = -4*a - 2. Let s(u) = 5*d(u) - 3*v(u). What is the units digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*j**3*p**2 + 6*j**3*p + 42*j**3 + 4*j**2*p**2 - 14*j**2 - 4*j*p**2 + 2*j*p + 17*p**2 - p wrt p.\nAnswer: -114*j**3 + 8*j**2 - 8*j + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 48 = 2*t. Is ((-18)\/t)\/(6 - 6741\/1120) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.76144ml in litres?\nAnswer: 0.00776144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 - 5*s**2 + 11*s. Let p be a(2). Let k = -5 + 3. What is the remainder when -4 + k + (p - -2) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3)*(-4 - -1). Let d be 9\/10 + 2*(-21)\/84. What is the biggest value in c, d, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/17641?\nAnswer: 6\/17641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*(0 - 144\/(-14)) - 1. Let h = y + -71. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogs when three letters picked without replacement from {g: 2, s: 2, o: 7}?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(l**2 - 2*l**4 - l**2) + l**4 - 8 - 7 + 8.\nAnswer: -l**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2418 divided by 6\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-518)\/37 + (-114)\/(-6). Solve s*r = 2*n - 4*n, -4*n = -2*r + 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -310000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894236 is divided by 1104.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18457a3 (base 11) to base 5.\nAnswer: 1300014043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243, -484, -725, -966, -1207, -1448?\n\"Answer: -241*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -111 in 0.067, 2, 5, -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10409 (base 11) to base 3\nAnswer: -202202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/(-72200)*-19*1*85.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let j be 3\/(-12)*5\/y. Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 2, e: 1, s: 1}. Give prob of sequence www.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 129*i**3 - 351257398925 + 351257398925.\nAnswer: -129*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(117) + 2 + sqrt(117) + 2*sqrt(117)*-2 + -4).\nAnswer: 8 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/15 + 165076*n**2\/15 + 2*n\/15 - 165076\/15 = 0.\nAnswer: -1, 1, 82538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 387 + -543. Let o = n + 156. Solve 39 = -13*p - o*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 94 + 94 + z - 190 + 0*z. What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:07 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4577.157 and 1?\nAnswer: 4576.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305 + -518. Let g = -104 + 25. Let b = g - z. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b7b55898 + 3?\nAnswer: -1b7b55895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*i - 178, 2*b + 36 = 2*i + 224. Suppose 20*m - 231 = 169. What is the remainder when b is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8 + 156\/280. Sort 1\/5, a, 0.\nAnswer: 0, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 674267136*u**4 - 38429899776*u**3 - 189632160*u**2 - 311901*u - 171 = 0?\nAnswer: -1\/608, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672713699 to the power of 1\/3, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2 - 86*c + 15. Let b be d(-9). What is the greatest common divisor of b and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**6 + 547892*j**4 + 9314*j**2 wrt j.\nAnswer: 360*j**3 + 13149408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*j**2 - 3873370*f**3 + 10922*j**3 - 4*j**2 wrt j?\nAnswer: 8*f**3*j + 32766*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b - 302 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-980))\/(1\/7).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 80\/3*a + 0 + 2\/3*a**4 - 14*a**3 + 12*a**2 = 0?\nAnswer: -1, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 13. Let g = 0.14 + -13.14. Let q = -13 - g. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9433*s - 125. Is i(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92116, 112265, 132416, 152569, 172724, 192881?\nAnswer: 213040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 1 - sqrt(2448))**2 - sqrt(17)) + (1 + sqrt(425))**2.\nAnswer: 9*sqrt(17) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h - 3. Let v = -19 - -16. Let l = v - -3. Give c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3985.16626 - 1031.20972. Let g = y - 2954. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311343 (base 6) in base 10?\nAnswer: -24975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-6)\/(-2) - (-13 + 5 + -47).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20. Suppose l = -3*l. Suppose -2*a + f + 2 = l. Solve -3*z = 2*y + z - 6, -y - z = -a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 26 - 2. Let a(j) = -j**3 + 6*j**2 + 2*j - 8. Calculate the least common multiple of a(c) and ((-6)\/4)\/((-3)\/24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, 1 j, and 1 n when four letters picked without replacement from ttjjnnnntynjjnjnnt?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-3)*q*q*q**6\/q*q\/(q*(q\/(q\/q**(-1))*q)\/q*q*q)*q*(q**(3\/5)*q)\/q*q)**(-5))**(-20) assuming q is positive.\nAnswer: q**1360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) - sqrt(77)*3))\/sqrt(7).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + 7 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4813457 (base 9) to base 10.\nAnswer: -2607280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/(-1023) - 162\/(-297)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) 0.2 (c) 9991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10919, -10562, -9971, -9146?\nAnswer: -8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k - 66 + 66. Let u(b) be the second derivative of -3*b + 0*b**3 + 1\/12*b**4 + 0 + 0*b**2. Determine n(u(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/8)*z\/z**7)\/(z**0\/(z*z**(7\/3))))\/(z**(-2\/7)\/z**(1\/3))**(-7) assuming z is positive.\nAnswer: z**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7519158km to centimeters.\nAnswer: 75191.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*i + 4*u, 11 = -2*i + i + 3*u. Solve 6*z = 2*z + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 61. Let t = -16 + 27. Let l = t - x. What is the closest to 2\/7 in l, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s + 331. Calculate the remainder when 6369 is divided by t(30).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045250083 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360396 and 6345?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979278.7 micrometers to kilometers.\nAnswer: 0.0009792787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = i + 11, -p + 0*i - 5*i = -9. Sort p, -1, -4, 2.\nAnswer: -4, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + 189. Let k = n + -320. Which is smaller: k or -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 1 - 2*x - 5*x + 5*x. What is o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -115*d**3 - 2*d**2 - d. Let g be v(-1). Suppose -5*k + 158 = -4*f, 3*k + 3*f = -k + g. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3256 - 3263. Let d(g) be the third derivative of -2*g**4\/3 - 2*g**3 + g**2. List the prime factors of d(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -280 and 141398.\nAnswer: 141118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022110102112 (base 3) to base 13.\nAnswer: -1b58c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.5 + 0.1. Let t = r - 8. What is the smallest value in t, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -18 (c) 2.01 (d) -0.2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 1299 + 639 + 19*d + 660.\nAnswer: 3*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/14 + 1130616\/252 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 5*h - 1. Suppose 4*m - 6*m + 12 = 0. Let x = -1 + m. Let d(v) = -5*v**2 + 6*v - 1. Give x*d(c) - 6*r(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4720 + -4725. Sort 3, -4, 13, 5, z in increasing order.\nAnswer: z, -4, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12998 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 199 + 10 = 0. Suppose -716 = -4*j + 3*y, -s*j + 2*y = -24*j - 537. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1015, -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34578 and 225774.\nAnswer: 3838158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 4*o + 2. Let x be p(4). Let n(i) = -i + x*i + i. Let w(m) = -2*m**2. Calculate w(n(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1546321, 1546276, 1546231, 1546186?\n\"Answer: -45*y + 1546366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (3 + -1) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4195.974 - 4162.2. Let m = t + -34. What is m rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-38) + ((-111)\/(-2) - 1). Suppose -9*v - h - 53 = 0. Let y be ((-3)\/(-2))\/(v\/(-24)). Solve -5*z = 5*c - 5, 2*c + y*z + z = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 451*d - 19. Determine q(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2)\/(-5) - 0). Suppose 4*z - 10 = 2*z, 4*z = -c*y - 55. What is the units digit of 2*(-3)\/y*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3311*w - 56889 = 398*w + 47979 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9312, -9317, -9324, -9333, -9344, -9357, -9372?\n\"Answer: -i**2 - 2*i - 9309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:01 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312973136?\nAnswer: 2, 11, 18823711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 346.1181 kilometers?\nAnswer: 346118100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-s + 0*s + 0*s + (-7 + 2 + 1)*(3*s + s - 2*s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193978593.\nAnswer: 3, 29, 73, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.348?\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-29 + 66\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*l = 7*g + 22, 0 = -3*g - 3*l - 39. Is g\/(-56) - (-419)\/7 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 64*p - 4. Let x(s) = 961*s - 62. What is 93*r(a) - 6*x(a)?\nAnswer: 186*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 2*n**3 + 0*n**3 + n**3 + 0*n**2 + 0*n**2 + (1 - 1 - 1)*(2*n**3 + n - n) - n**2 + 2*n**3 + n**2 + 0*n + 0*n - n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 + w + 1. Let n(d) = 168*d**3 + 8*d**2 - 6*d - 6. Determine n(k) + 6*s(k).\nAnswer: 174*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z + 9. Let m be p(-7). Let h be (m\/(-10))\/(1\/(-5)). Suppose 154 = 5*u - x, h = u + 2*x + 3*x. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1506.7 and 0.06002.\nAnswer: -90.432134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*a**2 - 4*a**2 - 19*a**2 in the form x*a**2 + w + f*a and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -1\/4, 2, -0.96 in ascending order.\nAnswer: -0.96, -1\/4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 204*a - 6. Let j(b) = 4*b - 4. Give 2*j(d) - o(d).\nAnswer: -196*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*c**2 + 99*c**2 + 5*c**2)*(-2*c + 0*c + 0*c)*(-2 + 2 - c).\nAnswer: 370*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -45 + 60. Let a(f) = -f - 1. Suppose -d - 2 = 5*s, 3*d - 8*d + 15 = 0. Let m be a(s). Solve o*x + 7 = g, g - 2*x + x - 3 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 17161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 26652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 13. Let z(q) = 2*q**2 - 92 + 92 + 10*q**2. Give r(z(i)).\nAnswer: -36*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s**2\/5 - 39*s\/5 - 12\/5 = 0. Calculate s.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.73103kg to tonnes.\nAnswer: 0.08473103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/13))**(-7\/8) assuming k is positive.\nAnswer: k**(7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 4. Let j be u(-6). Let d be ((-3 - -1) + j)\/(-2). Suppose 3*i = 2*k + 15, i - k - 4 = -d*k. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 62070128*p - 481587598742048 = 0. What is p?\nAnswer: 15517532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1414 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 326 = 2*z, -z + 58 + 105 = -2*d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405 divided by 135\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 12) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 3. Suppose 3 = 6*g - 27. Calculate f(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -735*h - 90. Is r(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-92544)\/256)\/((-2)\/44). Calculate the highest common divisor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3312411?\nAnswer: 3312421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1362845 is divided by 790?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 37*s**2 - 202*s - 19. Determine y(42).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*b - g - 8, -3*g = -3*b. Factor b - 5*h**2 + 0*h - 10*h**2 + 3*h + 16*h**2.\nAnswer: (h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7*g**2 + 9)*((-4*g + 0*g + 2*g)*(23 - 12 + 19) + g + 0*g - 3*g).\nAnswer: -434*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67611 - 29303. Is 16 a factor of f\/38 + (-40)\/380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432 or 430?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, 0, 2 in ascending order.\nAnswer: -6, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327524 is divided by 597?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(1\/5)\/d*d)\/d)\/d**0*(d*d**(1\/3))\/(d**(-1)\/d) assuming d is positive.\nAnswer: d**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + -21?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 11:43 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4188\/(60\/5) + 8. Let w be 76\/y + (-29)\/((-4872)\/(-16)). Factor w*l**2 + 0 + 0*l.\nAnswer: 2*l**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**23*t*t*t*t)\/(t\/t**6) assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6076273*g**3 - g - 9475834?\nAnswer: 36457638*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.469 > 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 + (11 - 4)) - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 11) + 11 - (0 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107485675?\nAnswer: 5, 47, 942541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -52867477.\nAnswer: 10573495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376947.\nAnswer: 3, 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 5, -6 in descending order.\nAnswer: 7, 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 565 - 3?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36938 != 110813\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 6 + -6)*((-28)\/8 + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(10\/75). Suppose w*u + 6 = 116. Calculate the remainder when u is divided by 50\/4 + 2\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660\/35*(-84)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1739 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -33.3. Let h be 20\/10 + -3 + 0 + -88. Which is the third smallest value? (a) 5 (b) x (c) -3\/7 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 4*z + 64 = 0, -3*h + 68 = 2*z. What is the smallest common multiple of h and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - f = 0, -18 = j + 5*f. Let m be ((-2)\/(-5))\/(j\/(-30)). Find the third derivative of -c**2 - m + 4 + 2*c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 34 = 5*s, 0 = s + 4*s - 25. Suppose -80*f + 849 = -31. Does f = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 100685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + 4. Let x be (-64)\/(-10) - 4\/10. Suppose -2*a + 0*a = -x. Let m be g(a). Solve -2*j + m = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 12253.\nAnswer: -2, 1, 12253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 21 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 22766510?\nAnswer: 22766515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -86582472828.31?\nAnswer: 86582472828.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4\/(-16)*-4). What are the prime factors of (2 - 3 - -21)\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6167 and -854.\nAnswer: -853.3833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*t = -83*t + 4. Solve -x - 2\/3*x**t - 1\/3 = 0 for x.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:36 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + -2a?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + sqrt(121) + 2*sqrt(121) + sqrt(121) + sqrt(121))*-2)\/(sqrt(110)\/(-1*sqrt(10))))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 431\/312 + -1\/156. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129962471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29021109319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 2*z**3 - 3*z**3 + (-z - z + 0*z)*(-1 + 1 + z**2) + (2 - 80 + 147)*(z**3 + 3 - 3).\nAnswer: 66*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -159 * 3168\nAnswer: -503712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.344 - -0.044. What is the closest to 1\/2 in 6, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6917.54 milligrams in tonnes?\nAnswer: 0.00000691754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 11*o + 7. Let r(c) = c**2 - 11*c + 6. Let f(w) = 5*b(w) - 6*r(w). Let m be f(8). Calculate the highest common factor of 184 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -5*x**7\/42 + x**6\/2 - 3*x**5\/4 + 5*x**4\/12 + 8*x. Find f such that o(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4285 - -4304. Let c(y) = -y**3 + 18*y**2 + 18*y + 23. Determine c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q. Let l(t) = 9*t**2 + 9*t + 18. Let j(m) = -m - 2. Let o(k) = 9*j(k) + l(k). Determine o(v(b)).\nAnswer: 729*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 8*k. Suppose 3*m + 45 = -k*m. Let s = m + 17. Solve s*b - 10 = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(605) + (2*sqrt(605) + -4)**2 - (-5*(-1 + sqrt(605)) + sqrt(605))) + 5*(-3*sqrt(605) + sqrt(605)) + 3 + sqrt(605) + -1)*2.\nAnswer: -440*sqrt(5) + 4862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*h + 7, -13 = 2*c - 5*h - 0*h. Let f(u) = -7*u**2 - 6*u - 2. Let g(w) = -8*w**2 - 7*w - 2. Give c*f(n) - 5*g(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**8*f*f)\/f))**(-35) assuming f is positive.\nAnswer: f**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 8:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -3, 1243, 3, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 2\/3, 0.5, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7557057 - -8?\nAnswer: -7557048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7433 divided by 52\nAnswer: -7433\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 0 + 4 - (1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923.366 days in milliseconds?\nAnswer: 79778822400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v - 5*v - 3*v)*((v + 2*v + v)*(-4*v + 2*v**2 + 4*v) + 2 - 2 - v**3 + (-2*v + 2*v - v**2)*(-5*v + 5*v + 2*v)).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/(-2))\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2 + 437*o + 391. What is r(-32)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m. Suppose -4*a + 3*h = 2*h + 181, 178 = -4*a + 2*h. Let o = -48 - a. Let d be 6*((-9)\/o + -5). Determine r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10989 is divided by 380.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -9\/5 (c) 0.2 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-1\/4)\/x))\/(x*x**(-22)))\/(x**(-25)\/x*x\/x**21*x))**16 assuming x is positive.\nAnswer: x**1092","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b**2 + 3*b - 3*b**2)*(-80 - 20*b + 80)*(2*b**2 + 3*b**2 - 6*b**2).\nAnswer: -40*b**5 - 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 + s + 1. Let w(b) = 78*b**4 + b**3 + b**2 + 186*b - 3. Let q(k) = f(k) + w(k). What is the second derivative of q(x) wrt x?\nAnswer: 936*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 796 + -763.9. Let x = 27.43 - z. Let h = 0.33 - x. Sort -2\/3, h, -2.\nAnswer: -2, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/4 + (-439)\/(-1756) + -13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q = -192*q - 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four ninths of a day?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 405 = -p, -3*p + 865 = -p + h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - -0.5. Let n = 5 - 4. Let p be ((-4)\/(-15))\/((-6)\/15). Put i, p, n in descending order.\nAnswer: i, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11033.236 to the nearest one hundred.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 1. Let m be (-729)\/h*-12*(-2)\/(-9). Suppose 2*o - 5*k = -0*o + 140, k = -4*o + m. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 - 4*n + 4. Suppose 3*j - 4 = 4*j. Let u be d(j). Suppose -4*b - 8 = 0, -u*s + 4*b = -5*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/7 - 1387*r + 5967620\/7 = 0.\nAnswer: -10289, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -49a33 (base 11) to base 7\nAnswer: -416204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10655805 is divided by 228?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5994 + 6004. Are i and 1182 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 389331117 and 3789?\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/3 - 143*w**2\/3 - 736*w\/3 - 592\/3 = 0.\nAnswer: -4, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, -4.116, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -8*d**3\/3 + 19*d**2\/3 - 14*d\/3 - 1934. Determine g so that t(g) = 0.\nAnswer: 7\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 85\/(-15) - -6 - (16\/3 - 3). What is the closest to 2 in -4\/5, 1\/6, q, 1\/13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.94734 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*m**3*p**2 - 4*m**2*p**2 + 4*m*p**2 + 10*p**2 wrt m.\nAnswer: -2094*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7814.696 + -7775. Let v = 31.7 - z. Let w = -8 - v. What is w rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 209346.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(48\/9))\/((44\/11)\/20)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iididkkvipivvi. Give prob of picking 1 v and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1001000100100010?\nAnswer: 1001000100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t. Let h be x(-6). Suppose 2*o - h*o = 3*f - 21, o = f. Suppose o*s + 5*w = -10 - 9, -5*s - 5*w = 25. Sort 4, 1, s in ascending order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2403*f - 49 + 139 - 47 - 48.\nAnswer: 2403*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -329\/29 smaller than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 657537 and 72861.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*q + 16 = 0, -3*d - 4*q = d + 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1039894 and 1039894 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(-1 + 1). Let y = 1 - r. Let q = y - 3. Put -2\/15, q, -0.4 in ascending order.\nAnswer: q, -0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1923915 and 71\/37650?\nAnswer: 19239150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/28357 - -2524261\/6919108. Calculate the common denominator of -127\/36 and r.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 7*k + 1\/4*k**2 + 0 - 1\/48*k**4 - 1\/24*k**3. Let b(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, -4, -2364, 1, 43 in ascending order.\nAnswer: -2364, -4, 0, 1, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -753.8, 37, -4, 0 in descending order.\nAnswer: 37, 0, -4, -753.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2052)\/(-285))\/((-2052)\/(-95)) + 1*1\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r**2 + 12. Let k(x) = -x**2 + 1. Suppose -64*i = 29 - 66 + 805. Calculate i*k(v) + y(v).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/3 + 1825\/1095?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/4 - 2*s**3\/3 + 2*s**2. Let t be r(6). Let q = t + 53. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/14*(-3)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2)\/o*o))**(-23)*o**(-2\/11)*o**(4\/5)\/o*((o**(2\/3))**27)**35 assuming o is positive.\nAnswer: o**(30834\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0\/(-1))*(7 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -163.\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 3 + 3)*(0*j + 0*j - 2*j) + j**2 - 9*j**2 + 2*j**2 as w*j + z*j**2 + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -202 and -178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10540030 (base 9) in base 13?\nAnswer: -1099509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.03318877396.\nAnswer: -3.96681122604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 76464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*p + 3*p. Let s(h) = 31*h - 267. Let l(z) = 20*z - 177. Let y(a) = 8*l(a) - 5*s(a). Let n be y(17). Solve p*t = 5*u - 9 - 4, 5*t = n*u - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1122)\/14)\/11 - -7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1311 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + x + 97 = 2*i, -35 = -5*i - 5*x. Solve 0 = -4*o - i, -3*m + o + 3 = 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**8\/840 - c**4\/8 + 2*c**3\/3 - c**2. Let i(u) be the first derivative of k(u). What is the derivative of i(b) wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791*s + 830*s = 1420887. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247280933 a multiple of 2827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.15 - 56. Let d = -0.03 + k. Let y = d + -0.67. Round y to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2, -l - 5*y - 78 = -90. Let h(r) be the third derivative of 1\/210*r**5 + 4*r**l + 4\/21*r**3 + 0 + 0*r - 1\/21*r**4. Find t such that h(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 12*h - 13. Let s be a(1). Let k(v) = 18*v + 25*v + 19*v - v**2 + 1 - 64*v + 5*v**3. Let r(o) = -o**2 - 1. Give s*r(u) - k(u).\nAnswer: -5*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6468 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4521, 17897, 40137, 71253, 111257, 160161?\nAnswer: 217977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888039?\nAnswer: 281, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65, 121, 173, 221, 265, 305, 341?\n\"Answer: -2*h**2 + 62*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 288. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8 - 7*l - 2*l + 5 - 2. Suppose -3*k - 3*k - 66 = 0. Let b(h) = -5*h + 6. What is k*b(j) + 6*q(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -47 - 9*z**2 + 47. Let h be -2 + 3 + -6 + -1 + 17. Let v(b) = -3*b**2 + 2*b. Let u(o) = 15*o**2 - 11*o. Let n(j) = h*v(j) + 2*u(j). What is x(n(y))?\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 499154267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 831279553 a multiple of 1225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 173, 174, 175, 176?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 + 9*o - 40. Let v(j) = 7*j**2 + 8*j - 36. Let k(z) = -6*b(z) + 7*v(z). What is k(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 + 11*d**2 + 9*d - 1. Let z(o) = 2*o**3 + 5*o**2 + 5*o - 1. What is -3*a(u) + 5*z(u)?\nAnswer: -2*u**3 - 8*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**27\/(m\/(m**7*m)*m*m) assuming m is positive.\nAnswer: m**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313673 is divided by 219.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 13. Let t be m(6). Let k be (2\/t)\/((-7)\/70). Suppose 0 = j - k*r - 3 - 12, -18 = -j + r. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d + 26*d + 20*d - 54 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001220121201121212 + -11?\nAnswer: 1001220121201121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/50)\/((-32)\/(-688))\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 567. Calculate the remainder when u is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.53 - 1.33. Let j = -4.2 + n. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -875, -1756, -2637?\n\"Answer: -881*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1694000 = 12*i. Round i to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*m - 2*f**2*x - 19*f*m**2*x - 7*f*m*x + 7550*f*x wrt m?\nAnswer: -2*f**2 - 38*f*m*x - 7*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from zeygyg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6677740 rounded to the nearest 10000?\nAnswer: 6680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -2, 5238?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -11*v**4\/3 + 64*v**3\/3 + 6*v**2 - 565*v. Factor g(r).\nAnswer: -4*(r - 3)*(11*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 2:14 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*t**2*x**4 + 13*t**2*x + 2*t*x - 156*t + 45*x**5 wrt x?\nAnswer: 324*t**2*x**2 + 900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11233136 (base 8) to base 6.\nAnswer: 124134302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/22))\/(l\/(l**(-3)*l))*l**(-17\/4)*l\/((l*l**(-21)\/l)\/l) assuming l is positive.\nAnswer: l**(735\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -1\/2, -12, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.598\nAnswer: -1.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13682545 is divided by 8879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1052, 1, -0.2, -1, 29, -149?\nAnswer: 1052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 25365512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 501657.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429727*t**4 + 2*t**3 - 2179443*t.\nAnswer: 5156724*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/((-40)\/(-15)) - 193. Let u = 214 + z. Calculate the greatest common factor of 18 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23405\/319977 - -11\/11851. Suppose 3*z + 11 = 2. Sort -1, x, z, 0.6 in decreasing order.\nAnswer: 0.6, x, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21100188*w - 4555206 with respect to w.\nAnswer: -21100188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1712095819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 6*q + 16. Let m be o(-8). Suppose -12*x + m*x = -x. Solve x = -p - 2*p + g - 2, 0 = 4*g + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 28, 4, -1, -11, 20 in descending order.\nAnswer: 28, 20, 4, -1, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*-3*sqrt(78)*-2)\/(-3*sqrt(6)*1*4))**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001338577037 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 63. Solve -2*b - 6 = -t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1924893257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*x**4 - 72*x**3 + 154*x**2 + 72*x - 162 = 0. What is x?\nAnswer: -1, 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2211)\/(-1474))\/(6642\/(-72))\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-118)\/5*(-195)\/252. Let o = -122\/7 + w. Let q be 2\/12 - 92\/264. Sort o, q, 4 in ascending order.\nAnswer: q, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 * -34\nAnswer: -6086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44b6a + -1a4?\nAnswer: -45041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 2*w**3)*(4 + 3 - 3) - 53*w**3 - 17*w**3 + 24*w**3.\nAnswer: -54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1596, 6368, 14322, 25458, 39776, 57276, 77958?\n\"Answer: 1591*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94476d + b?\nAnswer: -944762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/154 - -295\/2002. Factor 54\/13*q - 54\/13 + u*q**3 - 18\/13*q**2.\nAnswer: 2*(q - 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -440.5\nAnswer: 13.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(5*c - 2*c - c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.6 + 42. What is the second biggest value in l, 3, -4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/230 and -83\/70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooogooooooogogoooooo. Give prob of sequence ooo.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 503193571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 0. Suppose 3*m + 4*f = -2, -m = -w*m + 4*f + 6. What is the units digit of m - (-8 + 1 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 385920*g - 1157787 = 0. What is g?\nAnswer: -128643, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, -2, 1, -9 in increasing order.\nAnswer: -9, -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -388 + 91 + 267 + -17 + 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -32. Suppose 0 = -y*v + 44 - 26. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 16329031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:05 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -2.05. Let d = -6 - -3. Which is the second biggest value? (a) -2\/11 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2301570439 to the nearest integer?\nAnswer: 47975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3085183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 64 + u - 5*u.\nAnswer: -4*u - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (4*sqrt(66) + sqrt(66)))*-1)\/(sqrt(6) + 1*sqrt(384) + sqrt(6)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-987)\/(-9) - 20\/30 is divided by 72.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let s(n) = n**3 - 29*n**2 - 95*n - 33. Suppose 0 = 20*z - 8*z - 384. Let m be s(z). Put u, m, 5 in ascending order.\nAnswer: u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3920, 3876, 3832, 3788, 3744?\n\"Answer: -44*v + 3964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -100*h + 95*h + 30, 4*w = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90.76183 - -0.15183. Let q = r - -91. Let z = -0.61 - q. What is the closest to z in 3\/5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2430003 divided by 3361\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 14027 - 14016. Let p(f) = -f**3 - 2*f + 28. Let v(s) = -6*s**3 - 11*s + 141. What is c*p(u) - 2*v(u)?\nAnswer: u**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let m = -0.1 - -4.1. Let x be (-25)\/15*66\/165. Which is the closest to -0.2? (a) m (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - ((-2 - 33) + (210 - 205))) + 3 + 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2242312 and 22606?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/252*-81)\/(4\/252*33)?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 466721*r + 0 - 466613*r.\nAnswer: 108*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3568020 divided by 10.\nAnswer: -356802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/4 - 45\/(-4). Let q = 13 - t. What is the tens digit of 72 + (q + -3)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-11)\/(-2)*2. Suppose h = a + 1. What is the highest common divisor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(z*z**(-2\/51)*z))\/(z**(-4\/7))**(3\/31) assuming z is positive.\nAnswer: z**(-32155\/11067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 388.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 363905, 363909, 363913, 363917, 363921?\n\"Answer: 4*v + 363901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21546 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 680587679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564367 is divided by 525?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*c - 884 = -102*c. What is the highest common factor of c and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 109.\nAnswer: -34\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.6. Let r be 6\/10 - (1 + -1). What is the third smallest value in b, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - (122\/6649 - (-19650)\/(-1635))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1605 + -308.0085. Let z = a + 269.83. Let l = -38 - z. What is l rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 4, -3\/5, 14, -36, -3, 0.2 in ascending order.\nAnswer: -36, -3, -3\/5, 0.2, 4\/7, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.51. Put j, -0.2, 1 in descending order.\nAnswer: 1, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -541*n - 13. Let t(f) = -2*f**2. Calculate r(t(x)).\nAnswer: 1082*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7426660 is divided by 1321.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q - 35*q + q**3 - 4*q**3 - q**2 to the form r*q**3 + k*q + j*q**2 + z and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 4*q**2 + 2*q**2)*(10 - 3 - 50)*(3*q - 2*q + 5*q).\nAnswer: 1032*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309606114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 668.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 3, p: 1}. What is prob of sequence sm?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/6 - 429012290*l\/3 + 18405154497104410\/3.\nAnswer: 5*(l - 85802458)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*n - 7002 = 127*n. Suppose 4*o + 5*z = 1031, -o - z = -4*o + n. What is the greatest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7154 is divided by 382?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -5 - -2) + (-3)\/(-3). What is the second derivative of 21*w**2 + v*w + 2*w + 3*w + 6*w wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 - 81*h - 174 = 0.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2132\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**3 - 579*c**2 + 414*c + 144. Determine g(82).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2. Let w(v) = -207*v**2 + 3*v - 2*v + 209*v**2. Let c(y) = -126*y**2 - 2*y. Let q(b) = c(b) + 2*w(b). Give l(q(u)).\nAnswer: 29768*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*y + 9 - 9, 0 = -4*o - y. What is the closest to -2\/5 in -4.8, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.2, 85\/121, 4, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6451*m**3 - 14*m**2 - m - 14 wrt m?\nAnswer: 38706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -926, -4766, -11164, -20120, -31634?\n\"Answer: -1279*a**2 - 3*a + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33*(-1)\/((-275)\/(-66) - 6). Solve -b + 19 = -w - h, -5 = -3*w + 5*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -28. Let h = -75 - -133. Let a = 58 - h. What is the smallest value in 9, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 7. Let a be r(-3). What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let k(i) = 193*i - 193*i - 123*i**2 - 88*i**2. Calculate n(k(b)).\nAnswer: 133563*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9183.644 tonnes in nanograms?\nAnswer: 9183644000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90745 = -73*y - 9058. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 1913927 - 1916057 = 0 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68411.629 - -8474.\nAnswer: -59937.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.07 - 10.8. Suppose -3*l = 3*q - 6, 0 = 4*q + 3*l - 1 - 2. Which is the closest to q? (a) -3\/5 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -32*((-99)\/(-36))\/(-11). Let d(r) be the second derivative of -r**3\/6 + 9*r**2 + r. Determine d(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89468.61m in millimeters?\nAnswer: 89468610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.024 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-284994)*1)\/((-4)\/(-6)). Let h = -680859\/316660 + n. Calculate the common denominator of h and (-229)\/60 - 4\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/8 in 2\/5, 2\/2371, 2\/13, 0.06, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**3 - 660*y**2 + 2*y**3 - 31770*y - 161602 - 24448 + 7065*y.\nAnswer: -5*(y + 10)*(y + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 18 = -29*i. What is the nearest to -0.1 in i, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 335736*r**3 + 9130520784*r**2 - 72703019842376*r - 211236387034502676.\nAnswer: 4*(r - 28721)**3*(r + 2229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 7*o**2 - 12*o**2)*(-4 + 3 - 1 - 2*o**3).\nAnswer: 18*o**5 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8+-10110\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guv. Give prob of picking 1 g, 1 u, and 1 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 128, 270, 474, 746, 1092, 1518, 2030?\nAnswer: 2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2*h + 16, u + 2*u = 4*h + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4171, 4147, 4105, 4045, 3967?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49870 take away 1257?\nAnswer: -51127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2910 and 151\/6.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - 11020?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4204*(-3 - (-3 - -1)). Let l = t - 1001. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/4 - 7*z**3\/2 + 61*z**2\/4 - 21*z + 9 = 0. What is z?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -148? (a) -1\/90 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/479388 and -61\/78?\nAnswer: 479388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {y: 1, e: 1, b: 1, o: 6}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21822, 21981, 22152, 22341, 22554, 22797, 23076, 23397?\nAnswer: 23766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 3 + -1 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, j: 2}. Give prob of sequence kjk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let k(a) = 1101*a - 138. What is k(u(h))?\nAnswer: 2202*h**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 - 163. Solve j*r = 6*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 49. Suppose 0*r - 144 = -z*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*a - 486 - 873 = -81*a - 109*a. Find s such that 2\/17*s**a + 82\/17*s**2 - 882\/17 + 798\/17*s = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2*u*u\/(u*u**(-4\/3)))\/(u**(1\/15)*u\/(u**7\/u*u)) assuming u is positive.\nAnswer: u**(169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 1, n: 2, y: 4, b: 10}. What is prob of picking 2 h?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 5 + 3 + sqrt(3872) + -5)**2*-2.\nAnswer: -7777 - 704*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 6, c: 7}. What is prob of picking 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, k: 7}. Give prob of picking 2 i.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**3 - 6*a**4 + 14*a**3 + 2 - 4)*(341 - 867 + 393) as p*a**3 + k*a**2 + m*a**4 + x*a + c and give m.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*r + 761 - 229, 528 = -5*o + 2*r. Let n = o + 100. What are the prime factors of (n\/4)\/(-4*7\/1624)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 - 20*w**2 + 96*w = 0. Calculate w.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(32) + sqrt(5) + (sqrt(5) - -1*sqrt(5)) + 0 - 2*sqrt(1125))**2.\nAnswer: 57245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 23 = -2*u, 2*w + 2*w + 5*u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 233344351?\nAnswer: -233344346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-0.66\nAnswer: -0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose f = o*f - 4. Solve f*c = 4 - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**5\/h)\/(h*h*h**5*h*h)*h**5*h**(-2\/13))**(-37))**(31\/4) assuming h is positive.\nAnswer: h**(1147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let z(x) be the third derivative of 3*x**4\/8 - 3*x**3 - 10*x**2. Let b(i) = 54*u(i) + 3*z(i). Let k(p) = -p**2. Calculate b(k(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*n - 2938 = 0, 0 = -7*n + 4*n - 15. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = -5*d - 8, 119 = -3*r + 4*d. Does 11 divide (1 - 1) + (0 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 14. Suppose 0 = -2*l - 3*l + w. Let m(u) = 5*u - 1 + 2 - u**l + 0. Give m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 44008*i**2 - 44009*i**2 + 8*i + 2*i**3 + i**3 to m + q*i**3 + a*i + b*i**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195 - (-37 - 57)) + 10?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/41 and 0.03 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*q = 0. Which is the closest to -0.3? (a) q (b) -4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 p when three letters picked without replacement from {e: 3, i: 3, p: 1, f: 1, c: 2, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 191198?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1 (b) 1\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 6 = -o. Let t = o - -66. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 8*p = 0. Suppose -6*c + 51 + 39 = p. Let s(d) = d**2 + d + 3. What is the remainder when c is divided by s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/180 and 71\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 26789960.\nAnswer: 80369880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122523 (base 12) in base 13?\nAnswer: 1bbc538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/151849 + -13514449\/17007088. What is the common denominator of 2 - (2 + -4) - 387\/30 and m?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4735?\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112021 (base 4) in base 7?\nAnswer: 4063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/2)*b**(-7)*b**(-2\/3)*b*b\/b**(2\/13))**(-1\/60) assuming b is positive.\nAnswer: b**(337\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, t: 6, n: 1, z: 2, m: 1}. Give prob of picking 1 v and 1 n.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - 52*g - 265. Let q be l(-7). Which is the third biggest value? (a) 0.3 (b) 3 (c) 23\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 30385808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 166. Let g be s(-17). Sort -54, g, 4, 5.\nAnswer: -54, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 7*h + 10. Let n be a(7). Let o(u) = 7*u - 19. Let i be o(3). Solve i = -4*j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 11*f + 10. Let l be x(-9). What is the first derivative of 171 - 120 + l*j - 86 wrt j?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 y when four letters picked without replacement from qyqqyqyyqyqyyqyqqyq?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1470782, 2941550, 4412318, 5883086?\n\"Answer: 1470768*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9 - -4) + 33 + -8 - -3\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 990872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 313033541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/r**(2\/7)*r)**(-12)\/((r\/((r\/r**1)\/r))\/r)**(-1\/12))\/(r**1*r**(3\/8)\/r)**3 assuming r is positive.\nAnswer: r**(-9679\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1653 and 57057?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/5*(-2)\/(-3)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 158742*t = 0.\nAnswer: 0, 52914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4154*c**5 + 12661*c.\nAnswer: -83080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 - 8*f - 27. Let n be k(8). Suppose -5*j + 193 + n = 0. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20) + (-5 + 3)\/((-1330)\/1197)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let i(h) be the first derivative of 2 - 4\/3*h**3 + 5\/2*h**g - 5*h**2 + 4*h. Solve i(f) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -13*y**3\/6 - y**2\/2 - 2*y. Does 6 divide u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 2167*v**3 - 2166*v**3 - v**2 - 5*v to g + d*v**2 + h*v**3 + i*v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {n: 9, y: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 43*n**2 - 140*n - 89. Give k(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + 808\/32. Solve -r + 10 = -2*a + 4*r, 5*a - 3*r + m = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2817, 2, 9, 1525.\nAnswer: -2817, 2, 9, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 835776 and 7872?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2310 and 1848.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*f + (5 - 12 + 1)*(0*f - 4*f + 2*f) - 3*f + 3*f - f + (1 - 2 - 1)*(4*f - 2*f + 0*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 207313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15435)\/(-2450))\/(6\/(-120)*-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1140*o + 467. Is z(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 34 = -4*p, 6 = 5*p + 5*r + 46. Let x be ((-15)\/p)\/(-5)*-138. Suppose -x = a - 4*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -3727101896147.\nAnswer: -3727101896150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 - -150 - (-2 - -23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 314179, 628366, 942553, 1256740, 1570927?\n\"Answer: 314187*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325 - 275. Let i be (-3*(-1)\/(-25))\/((-10)\/y). Let j = -15 + 15.7. What is the smallest value in i, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13804.03 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + t**4 - 2*t**3 + t**2 + 4 - 4*t**4 to o*t**4 + u*t**2 + g*t**3 + k + f*t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Let g be 3\/3 + (-3)\/n. Let l = -1 - -3. Put 3, l, g in ascending order.\nAnswer: g, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 20. Solve l*w = 5*i - 2, 5*w = i - 3*i + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20594789 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 4*k**2 + 11*k + 12*k**2 - 5 - 4*k**2 as q*k**2 + f + d*k and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16227.005707 - -16227. Round z to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (12 - (8 + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10956*s - 44 = -10957*s. Calculate the highest common factor of 132 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59010.\nAnswer: 2, 3, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/3 (b) 2\/149 (c) -3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8230, -3 in increasing order.\nAnswer: -3, 0, 8230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70387933?\nAnswer: 7, 11, 227, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 7 (c) 0 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 229 + -250 + (-1 + 0 - -7) + 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1.08 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 2*g**4 - 6*g**4 + (-2*g + 3*g**2 + 2*g)*(0*g**2 + g**2 + 0*g**2 + g**2 + 3*g**2 + 0*g**2 + (2 + 1 - 5)*(2*g + g**2 - 2*g) - 2 + 2 + 2*g**2).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times -0.5\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w - 100 = w, -3*p = -2*w - 88. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, f: 2, q: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*g - 3*k, -4*g + k + 121 + 100 = 0. Let t = 18 + -52. Let w = t + g. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/225 - ((-14)\/10 - -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -57. Let u(a) = 1559*a**2 + 3*a + 3. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34 + -22)\/(6\/32). Suppose 10 = k*v - 62*v. Solve v*f + 25 = 5*r + 5, -2 = 5*f + 4*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41758*k + 41824*k - 462 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -909 - -58177\/64. Let k be 262\/(-128)*1\/3. Let g = x + k. Is g less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 - 168*d**3 + 1596*d**2 + 29760*d = 0.\nAnswer: -62, -10, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 319\/5*v**3 - 43\/5*v**4 - 3\/5*v**5 - 417\/5*v**2 + 64\/5*v + 16 = 0.\nAnswer: -20, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 6. Let n be p(0). Let f(y) = y + 1. Calculate f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*q - 57, 42353 - 42349 = 2*q for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -54)\/(3\/3). Let m(d) = 9 + 1 + g*d**2 + 52*d**2 + 5*d - 105*d**2. Let s be m(6). Solve j - 2*k = -2 + 4, j - 4*k = s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -347 - -350. Solve -w - 1 = n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3841.7 - -3286. Let h = y - -620. Let q = h - 64. What is the biggest value in -5, q, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 5*g - 17)*(-g + 5*g - g + (1 + 0 + 1)*(0*g - 2*g + 0*g) + 3*g - 3*g - 1 - 2*g) as b*g**2 + j*g + r and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -129.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.452 minus 7778.7?\nAnswer: -7721.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426 plus 1?\nAnswer: 7427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -11*w - 19, w = -s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 821375 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(5) + 2*sqrt(5) - sqrt(5)) + -5 + -1*sqrt(5)*1))**2 - ((-2*sqrt(200)*-2)\/sqrt(10))**2.\nAnswer: -160*sqrt(5) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 51*s - 362. Determine x(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 1)*4\/52. Let w = -18.08 - -19.08. Which is the closest to 1? (a) w (b) 1\/12 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 67?\nAnswer: -5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1855*w**3 + 1792*w**2 wrt w.\nAnswer: -11130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*m + r, -10 = 3*m - m + 2*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 4, q: 7}. What is prob of picking 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - z + 6*z = 5031, -z + 3354 = 2*c. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t - 7*t + 4*t)*(-4*t**2 - 2*t**2 - t**2).\nAnswer: 35*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 3 (c) 643 (d) -3 (e) 11 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*q - 5*s = 553*q + 3902, 4*q - 3962 = -5*s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/((-136)\/306)*(-16 - -22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 2517443060?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2226*c + 109. Let a be t(7). Suppose 5*g = -2*h + a, -3*g + 8971 + 455 = 5*h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291101.\nAnswer: 19, 278479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 - 6 - (2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1487889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4244535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/72 - (-82)\/90. What is the third smallest value in y, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a + 19*a - 42*a)*(-1 + 0 + 2)*(1 - 7 + 0).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 7, l: 1, v: 8}. Give prob of picking 3 v.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995466246 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 + 14*v**2 + 7*v**3 + 5*v**3 - 11*v**3.\nAnswer: v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337735*r + 5130 = 337621*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-6 + 2 + 2)*(9 - 9 - 7*w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-279)\/372)\/((99\/2)\/(-3)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let y(o) = 26*o + 2. What is -2*v(c) - y(c)?\nAnswer: -28*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*-1*-4)\/(sqrt(20)\/(-2*sqrt(10)) - (sqrt(162) - sqrt(162)*-2)).\nAnswer: -96*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in -0.082, -1, 52\/37, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 2*y, i - 11 = 3*y. Suppose -4*h = -4*z + 28, 14 = 8*z - 3*z + i*h. Sort -1, z, 5 in ascending order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -1 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**26)\/(((v**(-8\/7)\/v)\/v)\/v*v))\/(v**(-20)*v)**(-1\/7))**(-25) assuming v is positive.\nAnswer: v**(4300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37399889039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*((-5)\/10 - 0). Let w(a) = 1 + a - 3 - 154*a**3 + 153*a**3 - j*a**2. What is w(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 78. Solve -2*k + 6*k = -r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1454*-2.\nAnswer: -2908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/9 + 16\/9.\nAnswer: -4*(s - 2)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from ttvuttuvvutvtt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 216*b + 438*b - 221*b + 101)*(2 + 1 + 0).\nAnswer: -3*b**2 + 3*b + 303","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-3 + -5 + -1 + 22).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 - y**2\/2 + 15*y + 3. Let b(g) = -2*g**2. Give 2*b(a) + 3*o(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/352 and -17\/74.\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943 + 943 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 50*c - 101. Let y(g) = g**2 + 12*g + 2. Determine -h(a) + 4*y(a).\nAnswer: 6*a**2 - 2*a + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-14)*((-108)\/(-35) + 112\/(-392)). Sort p, -4, -5, -14 in descending order.\nAnswer: p, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/5 - 83784*o**3\/5 - 585482349*o**2\/5 - 1403197740*o - 15780886884\/5 = 0 for o.\nAnswer: -13958, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*c**2*f**2 - 6*c**2 + 6*f wrt f.\nAnswer: -386*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 11*k**2 - 10*k - 3. Let x be m(-10). Is 0 + 1 + 559 + x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44260 by 2389.\nAnswer: -44260\/2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let g = k - 3. Let o(n) = -n - 1 + n**3 - n + n**2 + 3*n**2. Give o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -8.077 (b) -2\/5 (c) 2 (d) -5 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = 4*c, 4 - 5 = -c - y. What is the units digit of 710\/45 + c\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/((c**(-3)*c)\/c*c))\/(c**(-2\/3)\/c*c)**48 assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*s + 49, 4*k = -5*s + k + 154. Calculate the common denominator of 111720\/14040 + 4\/26 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*p + 1397 = 1376, 5*i - 3*p = 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000079694 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/(((-46542)\/3)\/(-2))). Let c = t + 11398. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/4 + (-34 - 34125\/(-665)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 689 = 699 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 15. Let p be ((-4)\/(-10))\/(o\/20). Is p smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 8, -1\/5, 26, -1\/7, -8.5.\nAnswer: -8.5, -1\/5, -1\/7, -1\/8, 8, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(192) + 3*sqrt(192)) - (2*sqrt(18) + sqrt(2)*-1 + 4).\nAnswer: -79*sqrt(2)\/16 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70912\/95 or 747?\nAnswer: 70912\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3146) + sqrt(3146)*1*-2)\/(1*sqrt(32)*-2)*-2.\nAnswer: -11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 29 - 2 = -3*n, 0 = 4*n - 5*f. Suppose 4*t - 2 = 3*t. Let y be 262\/14 + (-6)\/(-21). Solve -t*k - 2 = 4*h, -6*h + 2*h + y = -n*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x - 54 = -35*x. Let r be ((-9)\/(-6))\/(x\/24). Let g be (162\/(-2) - -3)*r\/6. What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.38736 and 72.84.\nAnswer: -101.0553024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 375 + -358. Solve 4*f = -b - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 24*i**3 + 72*i**2 + 129*i + 127. Give h(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 8*u**2 + 6*u - 1. Let z(c) = -7*c**3 + c**2 - c. Let h be z(1). What is the smallest common multiple of s(h) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 - (6\/(-27) + 0). Suppose p = 24*a - 20*a - 960. Calculate the lowest common multiple of a and 6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-6)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o - 3*o - 5 + 0 + 6 to p + c*o and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127124910 and 7425.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.03 - 58.326. Round a to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**2 + 22*y + 3. What is the tens digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -1. Let p be 15*(2 - t\/10). Suppose -110 = -91*q + 69*q. Solve -5*r = a - p, 2*r = -q*a + r + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-2)\/(-135))\/(388\/(-6)). Let i = z + -40159\/4365. Let h = 19684\/9 - 2179. Calculate the common denominator of i and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6613 - -6781. Solve 30*u = 6*u + r for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + -3 + 2 + -14 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -42. Let g = s - -51. Suppose 0*h + g = h. What is the greatest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by -486.\nAnswer: 305\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 9*y - 9. Let i be f(-8). Let z be 154\/(-22) + (1 - i). What is the units digit of ((-6)\/z)\/((-21)\/(-1190))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 - i + 50. Is 5 a factor of n(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 + 1 - ((0 - -1) + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 10 + 6. Let v be 0*3\/(-15)*l\/4. Suppose 66 = 2*z - w, 4*w + 19 = -v*z + z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.9 - 26.5. Let a = -37795217.4000021 + 37795220. Let o = a + i. Round o to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3\/(60\/16)*(1 + 4) + 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:45 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.098 times -3459?\nAnswer: 52223.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, d: 1, h: 7, l: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1513 + 1?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581949 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3675142, 7350249, 11025294, 14700247, 18375078, 22049757, 25724254?\nAnswer: 29398539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - k**2 - 13045 - 26*k + 13114 = 0. What is k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*r = -4, -1670*a + 1675*a = -2*r + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 204 = -5*m, 0 = 3*m - 30*o + 33*o - 126. What is the remainder when 380 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3010042224 + 23?\nAnswer: -3010042201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4736, -7736, -10736?\nAnswer: -13736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:35 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 + 0 - (0 - 4). Suppose -7*x - z*x = -2450. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + 518. Let k = 1319\/2 - h. Let j = -30297\/17314 + -18\/787. What is the common denominator of k and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 25*t + 9. Calculate the smallest common multiple of 10 and (51\/(-17))\/(t\/(-66)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-54) + 1*(-4)\/18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2013 - 2007. Let g(b) be the third derivative of 0*b**4 + 0 - 2\/105*b**7 + 1\/15*b**5 + 0*b + 1\/20*b**n - 2*b**2 + 0*b**3. What is f in g(f) = 0?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2057\/9, 1\/13, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 177 = -21*t. Let y = t + 74. Let c(x) = 11*x**2 + x + 2. Calculate the remainder when c(-2) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*h**2*j - h**2 + 30*h*j + 5*h + 156884*j wrt h?\nAnswer: 16*h*j - 2*h + 30*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 50 - 6. Suppose -2*v - 152 = -5*b, -2*b + p + 50 = -v. Let m = b - 26. Solve -m*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 18655*b**2 - 819*b. Let m(u) = -91*u**2 + 4*u. Give 819*m(r) + 4*y(r).\nAnswer: 91*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v*(v\/(v\/(v\/v**(6\/7)))*v)\/v)\/(v**(-1\/3)\/v**7)*(v**1)**(-25)\/((v*v**(-1)\/v)\/v*((v\/((v\/v**(-8))\/v)*v)\/v*v*v)\/v) assuming v is positive.\nAnswer: v**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/126)\/(3\/21)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 - 11 = 0. Factor 15*j**4 + i*j - 2*j - 15*j**2 + 0*j - 5*j**3.\nAnswer: 5*j*(j - 1)*(j + 1)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2, 3\/2, -1, 1\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 17. Let w be 24\/(-7 + -1) - -7. Calculate n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:13 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 6200?\nAnswer: -6200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/(-803)*22\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 19*g + 3801. Let k = -181 + g. Let j be 2\/(-62)*18\/(-3). Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*b - 4 = 0, 2*m + b = 2*b + 4. Suppose 0 = -2*q - m*l - 118, -q = 2*q - 2*l + 177. Let c = -38 - q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31337 + -3?\nAnswer: -31341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.482 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6620 - 2853. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l - 25*l + 170 = -16*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 26. Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d = -40*d + 78*d. Let j(b) be the third derivative of 1\/20*b**5 + 18*b**2 + 0*b + d*b**4 + 0 + 0*b**3. Let k(r) = -18*r. Calculate j(k(t)).\nAnswer: 972*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 29, -5, 4, 12 in decreasing order.\nAnswer: 29, 17, 12, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 - 38 + 131 - 32 - 28 + 71*w - 31.\nAnswer: 16*w**2 + 71*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9089, -36413, -81953, -145709, -227681?\nAnswer: -327869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - 290\/(-50))*(5 + 0). Let s = 20 + -16. Solve 3*w + s*v = 7, -5*w + 41 = -m*v + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 8. Let k be -2 + 3 + -2 - g. Let t(s) = s - 16. Let y(w) = 3. Suppose -4*q + x + 2*x = -5, 1 = -2*q + 5*x. What is k*y(i) + q*t(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8466106 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/q**(2\/37)*q))\/q)*q*q**(1\/4)\/q*q*q*q)\/((q\/q**27*q)\/((q**(3\/8)\/q*q)\/q)) assuming q is positive.\nAnswer: q**(9049\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/120*(-2)\/(-8)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111629 is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106234945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Suppose -5*p = -y - 22, 2*p - 3*p = 5*y + v. Let n(k) = p*k + 10*k - 7*k. Let i(r) = r**2. Give n(i(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 671955656134 - 0.2.\nAnswer: 671955656133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 less than -31013\/602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + s - 1 = -0, -5*g - 2*s = -5. Suppose -d + 5*n = -0*n - 253, -g*n + 849 = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*f + 10 = -p, 20 = 4*p + 3*f. Suppose -3*m - p = -k - 0, 0 = -m + 1. Suppose -5*v + 10 = -4*u - 30, 0 = -v - k*u - 21. Solve -v = 3*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1463 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310121 + 0?\nAnswer: 2310121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43\/7785 - -1\/1211. Let j(x) be the third derivative of -14*x**2 - 1\/90*x**5 - n*x**7 + 0*x + 0 + 0*x**3 - 1\/60*x**6 + 0*x**4. Solve j(i) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063 is divided by 1023?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -0.113.\nAnswer: 29.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107756702?\nAnswer: 2, 23, 2342537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311213201012 - -1?\nAnswer: -311213201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2841 - 2835. Solve x*n - 15 - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wogw when four letters picked without replacement from gwoowwwwgwgwgoogw.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-12))\/(6\/16*(-132)\/(-30))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -601252\/9 - -66808. Factor b*w - 50\/9 - 2\/9*w**2.\nAnswer: -2*(w - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1174308726*d**5 + 2*d - 512160421 wrt d?\nAnswer: -23486174520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 103?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a + 1543941851 - 1543941851.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, 16, 64, 132, 220, 328, 456?\n\"Answer: 10*i**2 - 2*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -57. Put 2, -4, s, -3 in ascending order.\nAnswer: -4, -3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxt when three letters picked without replacement from {t: 2, b: 1, y: 1, u: 1, p: 2, x: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o - 6. Let i be j(1). Suppose -x = 2*x + i. Let a be (-2)\/4 + 26\/(-4). Is a at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 + s**3\/3 - 2*s**2 - 808*s - 1. Let t(y) = 3*y**2 - 6*y + 12. Give -6*t(g) - 17*z(g).\nAnswer: -g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273194.\nAnswer: 2, 23, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(1\/15)*(h*h\/(h*h**(2\/7)\/h))**(12\/7) assuming h is positive.\nAnswer: h**(144\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2169 - -2246. Suppose 1 = s - 8. Let v be 97\/s - 2\/(-9). What is the greatest common factor of j and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215464 is divided by 1049.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 4*f - f)*(0*f + 4*f - 3*f) + 0*f + f**2 + 0*f - f**2 - 2*f + 2*f + 3*f**2 + 13*f - 13*f in the form c + l*f + x*f**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 3233?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 8, n: 2, l: 2, r: 2}. Give prob of sequence nar.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 - 41*s**2 - 53*s wrt s?\nAnswer: 12*s**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25812170.38 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 69791.4, -1\/7, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*o, -d - 11 = 5*o + 7. Let f(s) = -2*s - 2. Calculate the remainder when f(d) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23311 (base 5) to base 9\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -3738?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 359*i - 381008. Give s(267).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 24*k**2 - 29*k - 32. Let c(y) = -y - 2. What is the remainder when z(-13) is divided by c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9*18\/(-4). Let q(r) = -r**2 - 6*r + 6. Is q(i) 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 46182489?\nAnswer: 3, 17, 53267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*s = 6, 11 = -4*z + 5*z + 3*s. Let l = 246 + -241. Solve l*t - 17 = -z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -505\/6? (a) 1\/11 (b) 3 (c) -2 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61593787 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/2 + 23*x**3\/6 + 25*x**2\/3 + 4*x = 0. What is x?\nAnswer: -4, -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31207058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from tzpzykzyokyoykpyyz.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 + 1125*o**4 + 75708*o**3 - 154797*o**2 + 155925*o\/2 = 0. What is o?\nAnswer: -675, -77, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15339709 = -11200291. What is x rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/(-15)*(-30)\/(-8). Let o(a) = -24*a + 4. Let p be o(-4). Calculate the highest common factor of p and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(180) - (sqrt(180) - (0 + sqrt(180)))**2) + 5 - sqrt(180))*4 + 5.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 5*x - 21. Let a be b(3). Let g = 6 - 3. Solve -2*t + a*t + 2 = -j, -6 = g*t - 4*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Solve 2*j = -6, -5 - 20 = 4*c + p*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460742943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1, -5, -8, 5 in ascending order.\nAnswer: -21, -8, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -i - 623*u + 624*u, -4*i + 4 = 4*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7920)\/9504*(4\/(-10))\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*g**2 + 7*g**3 + 191*g**2 + 212*g**2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwtv when four letters picked without replacement from {w: 2, t: 1, v: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 + -12.87. Let g = 179.7 + -202. Let y = x - g. Round y to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 + 26*f - 3. Suppose -7*k = -5*k - 10. Let s be u(k). Solve 4*y - 5*y - 27 = 5*z, 0 = s*y - 5*z - 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:27 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 + 393. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9140 divided by -20\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121524 and 836.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00692 to 4 decimal places.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 4 + -6 + -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-8\/9)))\/i**(-2\/9) assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/18 and 37\/12063075?\nAnswer: 72378450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/90 - 47*o**4\/2 + 19881*o**3 + 233*o**2 - 2*o. Factor d(k).\nAnswer: 2*(k - 423)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19239 is divided by 14642?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1\/3*f**4 + 0 + 8\/3*f**2 - 5\/3*f**3 - 4\/3*f = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -11*o + 32. Let j be ((-36)\/o)\/(12\/(-16)). Suppose 3*x - 9 = 0, p = -3*p - 4*x + 20. Solve p*h = j*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*j**2*q**2 + 12*j**2 + 796317*j*q*v + 1941*j*v + 2*j + 4783*v wrt q.\nAnswer: 370*j**2*q + 796317*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let q(t) = t**3 + 7*t**2 - 11*t - 12. Let l be q(-8). Calculate the greatest common factor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 0.1 (b) 89 (c) -2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + 2. Let u = 0.4 - 0.2. Let w = u + s. Round w to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjq when three letters picked without replacement from {s: 1, w: 1, q: 2, j: 2, v: 1, c: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - (-42 - -2))*145*444\/(-64380)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7341885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276106 - 15458601\/56. Let c = -437\/7 + d. Calculate the common denominator of -35\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3922*t - 294155. Give f(-75).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/529 - 2\/529. Sort 0, -3, p in decreasing order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33114 - 3301121?\nAnswer: -3334240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2169278261 rounded to the nearest one hundred thousand?\nAnswer: -2169300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 + 123*l - 160 = 0?\nAnswer: -32, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4.1\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 30 - 2*b + 32 - 96.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 14784 = 7*m. Suppose -y + 2913 = m. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5921700 and 121\/986950?\nAnswer: 5921700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0164 rounded to 2 dps?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 381302627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Let z be i(4). Let j be ((-1)\/z + 0)*0. Let d = 6.2 - 5.2. Which is the closest to j? (a) 0.3 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20674, 41346, 62018, 82690, 103362?\nAnswer: 124034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18834122 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11392 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(52\/33) + 3. Let d = 11\/52 - y. What is the second smallest value in d, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*l - 1 + 5 = 0, 5*v - 12 = -2*l. Suppose y - v*g = 607 - 163, 2*y = -3*g + 866. Suppose y = -3*t + 7*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121102 + 1010121?\nAnswer: 112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*2 + -4 + -1 + sqrt(8) + sqrt(2))*-6)**2 + 3 + (6*sqrt(24)\/sqrt(6))\/sqrt(2).\nAnswer: -1794*sqrt(2) + 2703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -84, -136, -188, -240?\n\"Answer: -52*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21735 divided by -1\nAnswer: -21735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 484*h**3 + 9672*h**2 - 44624*h + 46624.\nAnswer: 4*(h - 2)**2*(h + 31)*(h + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 2\/5, 6889, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2) + 18\/4. Suppose j*k = 18 - 6. What is the second derivative of 0*g**3 - 4*g + 4*g - 4*g - k*g**3 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let v(p) = 5*p**2 - 6*p + 5. Let c(f) = v(f) - 4*x(f). Let n be c(5). Suppose 5*l - 15 = n, -2*a + 15 = a + l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) - (-2)\/(-14). Let y(u) = u**2 + 3*u - 3. Let b be y(-3). Let d be 4 + ((-11)\/(22\/(-12)))\/(-2). What is the closest to d in 2\/13, g, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((48\/(-16))\/3*3)*954\/(-9)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -24. Let -s**5 - 7*s**3 - 6*s**5 + 4*s**m + 10*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.0151312? (a) 4\/5 (b) -2\/3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (-5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 708152*n\/3 + 944208.\nAnswer: -(n - 4)*(n + 708156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-96)\/(-6) + 3. Let b(r) = w + 0 - 2*r**2 - 19. Let v(d) = 33*d**2. Determine v(b(n)).\nAnswer: 132*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:00 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2286490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9.542 times 196\nAnswer: -1870.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 762776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 - 292550*q - 4279275125 = 0. What is q?\nAnswer: -29255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 6, c: 3}. Give prob of picking 3 c.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3943 - 3942.96. Which is the smallest value? (a) -4 (b) 2 (c) q (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*(sqrt(242) + 1) - sqrt(242))*-3)**2.\nAnswer: 9504*sqrt(2) + 139716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/30)\/((-7)\/((-245)\/42)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 + 1 - 1354*m - 6*m**2 + 1352*m + 2092*m**3 to the form k*m + t*m**2 + i*m**3 + u and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbc when three letters picked without replacement from {a: 1, k: 2, c: 1, x: 1, b: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -32. Let r = m - 18.56. Let w = r + 0.06. Which is the biggest value? (a) -2\/3 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybyyyyyyyneyynb. What is prob of picking 1 n and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11170918.\nAnswer: 2, 11, 293, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -2.8594.\nAnswer: -2.3594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + f**2 + (-1953 - 302*f + 1953)*(0*f - 2*f + 0*f).\nAnswer: 605*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 0.2. Let x = -12\/103 - -602\/3399. Is x at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*n + 12*n - n**2 - 23*n + 0*n to the form a*n + r + u*n**2 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 7:04 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.75 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 634*v = 1266*v - 635*v + 3180. What is the lowest common multiple of v and 3074?\nAnswer: 30740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*x + 46*x + 22*x + 37*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**4 - 12033*f**3 + 327249*f**2 + 690585*f + 351306 = 0.\nAnswer: -4038, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64327089 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 = l. Is l\/(2 + (-648)\/322) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 79, 151, 211, 235?\n\"Answer: -4*v**3 + 30*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -929 - -925. Let o(k) = -9*k + 5. Let u(c) be the first derivative of 17*c**2\/2 - 9*c + 1. Let s(n) = i*u(n) - 7*o(n). What is s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbx when three letters picked without replacement from {b: 2, n: 11, x: 6}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24 = -91. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1873662.3 months to decades.\nAnswer: 15613.8525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m + 1. Suppose -6*j = -24 - 102. Calculate the remainder when j is divided by o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -60. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (76 - 1)\/(-87 + 92). What is the highest common divisor of g and 8190?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 - -4. Let t = 8 - r. Is t at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(288\/276) + -10)*3. Put -4, 1, 13, 2, a in ascending order.\nAnswer: a, -4, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 38. Suppose m*d + 20 = 0, 0*d + 7431 = l + 5*d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174340 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -18121*s + 2449*s - 6 + 1 + 2631*s. Let t be n(-5). Round t to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - 68\/(-144). What is the nearest to 0.1 in -4\/3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 478.5 - 324. Let t = -154 + z. Which is the closest to 0.1? (a) t (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 13. Let p(y) = -y - 14. Give -4*g(j) - 5*p(j).\nAnswer: j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/7, 0.9, -2\/5, 3\/11, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572435597 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-48)\/20)*-2*18666\/(-915)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 72\/7 (b) 3 (c) -845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/1342, 89, 4 in ascending order.\nAnswer: 3\/1342, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = -7. Let r(n) = 9*n**2 - 2*n + 1. Let b be r(s). Let h = -2 + b. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) + 9\/(-4). Is 6 a factor of 24*-3*s\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 86039?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 + 1. Let x(u) = 1008*u**5 - 3*u**3 - 756*u**2 - 3. Let v(q) = -3*i(q) - x(q). Find the third derivative of v(r) wrt r.\nAnswer: -60480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kugududgnggupndddggg. Give prob of picking 3 g.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/3)\/(-4)*-3. Let w = -144181\/9 + 16002. Let i = w - n. What is the second biggest value in 3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (7 + 2 - (-45 - -37)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4c?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 times -84.3\nAnswer: -379.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r\/r**(-4)))**(-5\/12) assuming r is positive.\nAnswer: r**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 233060800 to the nearest 100000.\nAnswer: 233100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 - 2*o**4 + (o - 5*o + 6*o)*(o**2 + o**2 - o**2)*(-2 + 5 - 1)*(4*o + 0*o - 3*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248667 - 5.\nAnswer: 248662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j + 8. Let i(p) = -p**2 + 5*p - 2. Let y be i(6). Let m be l(y). Suppose 2*z - 222 = -5*b + 4*z, -2*b - z = -m. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/5 - 10893*s**4\/5 + 163572*s**3\/5 - 523648*s**2\/5 - 698112*s\/5 = 0.\nAnswer: -10908, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 18*b - 68. What is the remainder when 56 is divided by v(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 14, 2\/45, -2, 0.5 in increasing order.\nAnswer: -2, -0.5, 2\/45, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -2 + 0*p + 43\/3*p**3 + 1\/2*p**2. Let a be d(-1). What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/4471 (b) -2\/23 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y + 56. Let c(n) = 2*n - 11. Let s(r) = 11*c(r) + 2*m(r). Let o(j) = 3*j - 1 - j - 4. Calculate 5*o(l) - 3*s(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.664 tonnes in milligrams?\nAnswer: 214664000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let g(s) = 8*s + 42. Let q be g(-6). Put q, 0, p in increasing order.\nAnswer: q, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2979, 6022, 9067, 12114, 15163, 18214?\nAnswer: 21267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205440 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: Let w = -30 + 30. Let v(y) = -y**2 + 5*y - 13. Let r(d) = -d**2 + 4*d - 12. Let p(o) = 5*r(o) - 4*v(o). Determine p(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:04 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -18 - -13) + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -2 (c) -468 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-105 + 193 + -70)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 17*o**2 - 2*o - 6. Let r be h(9). Let c be (7 + -8)\/(1346\/r + 2). Calculate the greatest common factor of 42 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 308, 10, -1, 141, 1 in ascending order.\nAnswer: -1, 1, 10, 141, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*m - 8*m - 15*m)*(-3*m + 2*m - m) + (5*m - 4*m + m)*(-362*m + 2241*m + 746*m) to t*m + b + z*m**2 and give z.\nAnswer: 5268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 88\/227 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 51510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 413, 616, 817, 1016, 1213?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, w: 6}. What is prob of picking 3 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -56. Let d be p\/(-6)*(-56)\/(-42) - -1. Suppose 3 = 3*k - 0. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1119228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 526443 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -46*m**2 + 3*m - 6. Let v(i) = -i**2 + 2. Calculate -4*v(n) - y(n).\nAnswer: 50*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let m(p) = 2*p. Let x(t) be the first derivative of -t**2\/2 - 3. Let k(i) = m(i) + x(i). Give k(w(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 16\/6)*(-63)\/(-71652). Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.02, -2, -1\/5 in decreasing order.\nAnswer: 2\/9, -0.02, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 - h**2 - h + 7*h**2 as j + y*h**2 + d*h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*q + 2625*q + 507363 = -1477*q - 869*q for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(88\/(-14))*(-88)\/16?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let y be 7 + -16 + (0 - 1). Let t be -3 + 11\/((-11)\/y). Let s(g) = -4*g**2 + g**2 - t*g**2 + 7*g**2. What is s(x(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1158 from -10956642.\nAnswer: -10957800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -11.47253.\nAnswer: -57.36265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 15) + (18 - 61) + 40.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 33. Let p(a) = a - 17. Let r(q) = -6*d(q) + 11*p(q). Let m be r(5). Let k be (-3)\/(-6) + m\/4. Solve -c = c + k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2464450752 and 11712.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 529. Suppose -68 = -3*h - a. Let d = -22 - h. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {h: 2, a: 6, v: 3, e: 7, z: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 215.6 times -6.38\nAnswer: -1375.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2) + 5*(2 + sqrt(2)) + 1.\nAnswer: 6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from kkttttkttttttktktkk.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.69 millilitres in litres?\nAnswer: 0.45969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3271120+-2\nAnswer: -3271122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-1000)\/(-3))\/4)\/((-1)\/4320). Round x to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 15 = 5*l. Suppose -l*j = -w + 2*j + 1, 4*j + 8 = 2*w. Calculate the greatest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-6) + (-80)\/(-3) is divided by 6 + 175\/(-63) - 520\/2340.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30864 + -20101. What are the prime factors of d?\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -3, 5, 40\/11, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 83, 93, 107?\n\"Answer: 2*n**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 1073925.\nAnswer: -1\/42957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -940*h**3\/3 + 17*h**2 - 2*h - 395. Find the second derivative of k(q) wrt q.\nAnswer: -1880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806 and 75250.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - ((-61 - -65) + 3 + -3 + 19)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3, 2\/69, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 17 = 2*x, -45 = -6*h + 8*h + 5*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.096 - -5.1. Let t = s - -3.996. Which is the third biggest value? (a) t (b) 0.1 (c) 3 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/120 + 7*q**5\/60 + 7*q**4\/6 + q**3\/6 + q**2 - 38*q - 9. What is h(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypxyyyyxxyxxyyxxyyy. Give prob of picking 1 y and 1 x.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 40, -0.1, -0.5, 2 in descending order.\nAnswer: 40, 2, -0.1, -0.5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331022 + -112?\nAnswer: -331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1513 - 1508. What is the biggest value in g, -28, -3, 1, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -9076 + 1881 - 923. What is the remainder when i is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2129346680.000553 - -2129345804. Let w = 876 + t. What is w rounded to five decimal places?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 16*m**4 - 7*m**4 + 0*m**3 - m**4 + 0*m**3 + (-m**2 - 2*m**2 + 4*m**2)*(0*m**2 + 3*m**2 - 5*m**2).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46211749 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/4*8\/3. Let z be (-652)\/u*(-2)\/(-8). Let a = -79\/3 + z. Does a = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12227134 + -12227158.0000005. Let l = -24 - g. Round l to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*o = 12 + 54, -2*n - 4*o - 34 = 0. Let g(i) = i**3 + 26*i**2 - 30*i - 43. What is the tens digit of g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -1 - 20. Find the second derivative of -o*h - 23*h**5 - 31*h**5 - 225 + 224 wrt h.\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 35 + (2 - 0). Suppose -3*f - 2*f - 110 = 0. Let n = q + f. What is the remainder when 31 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*y - 128, y - 6 = -y. Let u = -7 + n. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 15*r - 272. Suppose -72 = -r*z + 115. Solve 3*j + z = 5*d, -j + 1 + 6 = d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let q be (d - -1)*(-42)\/24. Let v = -4 - q. Calculate the least common multiple of v and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 3, 14, 27, 42?\n\"Answer: j**2 + 6*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2173 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 1. Let r be k(1). Let s(d) = -12*d - 7. Let g be s(r). Solve 4*m + 5*n = g, 4*m = -3*n - 0*n + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, n: 1, o: 1, a: 2, t: 1}. Give prob of sequence nni.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -53. Find the third derivative of 11*a**3 - z*a**4 + 68*a**2 - 10*a**2 + 16*a**4 wrt a.\nAnswer: 48*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/24)\/(-1)*(-19809)\/(-31). Calculate the greatest common divisor of 75 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 4)*(-2 + 4 + 0) - 2 - 3 + 1)*(-2 + 5 - 4)*(37*x + 16 - 2*x**3 - 37*x).\nAnswer: -12*x**3 + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 395849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssplsluppplukkkdlpp. What is prob of picking 1 u, 1 k, 1 p, and 1 s?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 39*u**4\/2 + 127*u**3 + 103*u**2\/2 - 50*u + 6 = 0.\nAnswer: -6, -1, 2\/13, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1968*m**3*q + m**3 - 130*m**2*q + 2*m*q - 16*q + 324518 wrt m.\nAnswer: 11808*m*q + 6*m - 260*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + a**2. Let o be w(1). Suppose o*m + 2 = 14. Suppose -22*c + 17*c = -30. Solve c*j + u - 5 = 2*j, 4*j = m*u + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16984)\/(-660) - 4\/(-15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 3 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -11 - (-1344)\/(-147))*-2)\/(96\/14).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:03 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 44*x + 94. Let l be r(20). Solve -5*g + 3 = 4*v + 32, 2*g + 4*v = -l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36346 and 37706?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(8) - 4*sqrt(8)) + sqrt(8)) - (sqrt(512)*2 - sqrt(8)))\/((sqrt(16) - ((sqrt(256) + 2*sqrt(256) - sqrt(256)) + sqrt(256)))\/(sqrt(64)\/sqrt(4))).\nAnswer: 50*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2862326?\nAnswer: -2862323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 316*y - 24777. What is r(113)?\nAnswer: -1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 6*d**2 + 108*d + 216.\nAnswer: -3*(d - 6)*(d + 2)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(80) - (1*sqrt(80) + sqrt(80)) - sqrt(80))\/sqrt(256) + -5)**2 + 0.\nAnswer: 10*sqrt(5) + 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {a: 4, y: 2, f: 1, w: 6, s: 3, t: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let p = -42 + 2. Let t = p + 161\/4. What is the closest to t in 2\/9, -2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 20*o - 70. Calculate the remainder when 68 is divided by a(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d + 198. Does 8 divide t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4 = 0, -2*a + 56 = s + 49 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 128636203.\nAnswer: 128636202.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 2200 = -20*u. What is the highest common factor of 32 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1600 (b) 3 (c) 0.5 (d) 65 (e) 29\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:54 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z = 2*b - 6, -3*z = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2653309.2 and -5.\nAnswer: -13266546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 15. Let y = -21 - -28. Solve -h**3 - h + 3*h**3 - h - g + y - h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = 5. What is the remainder when 25 is divided by 216\/30 + l\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 3 + 4 + (-4 - -4). Suppose -20 = -p*i + 7. Let a(l) = l + 1. Let z = -6 + 8. Let t(f) = -f - 1. Give i*t(q) + z*a(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -137, -425, -973, -1865, -3185, -5017?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pfcxfxpiv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**2 + 4*p + 5. Let f be v(-2). Suppose j = 6*j + 5*t - f, 5*j - 2*t = 52. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2\/2 - 7*q - 3. Let f be i(8). Let o be (166\/6)\/(f\/3). Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1551 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/((m*m**(-1\/7)*m)\/m)*m)\/m*m)\/m)\/m**(-6\/7)*((m**19\/m)\/m)\/(m\/m**(3\/8)*m) assuming m is positive.\nAnswer: m**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -93, 0.2, -2\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 + 16*u + 13. Determine g(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2 + (7 - (-3 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 31 = -2*d, -3*d + 4*d + 28 = o. Suppose -4*j - 92 = 4*a, -18 = 3*a - 3. Let u = o + j. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - 4*v - 3. Let u be l(-2). Let y = -2952 - -2957. Suppose -u*d + 730 = 5*f, 531 = 4*d - y*f - 26. List the prime factors of d.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178 and 5251?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 4*y + 2*y**2)*(4 - 5 + 2) - 2 - 1769*y + 1802*y + 0*y**2 + 2*y**2 in the form o*y**2 + j + d*y and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26890 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8902712*i**3 + i**2*w - 2*i*w - 2*i - 9743*w - 291 wrt i.\nAnswer: -53416272*i + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111a637 - -2?\nAnswer: -111a635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 - (2 + 8 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:00 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52555323239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*y**5 + 239*y**4 - 9321*y**2 + 4881*y + 9321*y**2 + 36*y**5 wrt y?\nAnswer: 120*y**3 + 2868*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -141*f - 2010. What is the remainder when 133 is divided by q(-15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**2 - 25*i + 8. Give b(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 + 0.07. Put 0.12, -4\/5, p in descending order.\nAnswer: p, 0.12, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344145207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -22*c + 24*c - 20 + 5 - c**3 - 4*c**2. Let b be t(-5). Sort 4, -1, b, -5 in decreasing order.\nAnswer: 4, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 390?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12*(-4)\/(-8)*1 and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -7*o**5\/15 + o**4\/24 + 2*o**3 + 7*o. Let n(x) be the second derivative of d(x). List the prime factors of n(-1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 1222, 251 in decreasing order.\nAnswer: 1222, 251, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((-199)\/(22686\/418)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a - 3*a**5 - 2*a**3 - 2*a**5 + 2*a**3 + (a**2 + a**2 + 0*a**2)*(0 + 0 + 2*a**3).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 14*n**2 - n - 12. Suppose 3*s + p + 43 - 6 = 0, -4*s - 76 = -4*p. Let m be q(s). Suppose -6*j = -m*j - 48. Solve -4*c + 8 + j = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807757163.\nAnswer: 211, 991, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*o - 37*o - 18*o)*(2*o - o + 4*o).\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, -5, 0.2, -50, 0.3 in descending order.\nAnswer: 16, 0.3, 0.2, -1, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-22))\/(-1)*-8. Let c = -761\/88 - r. Let d = 12167\/22 - 552. Calculate the common denominator of d and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/6 + 15*y**2\/2 + 14*y. Let c be f(13). Solve -7 = c*p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0909971ml?\nAnswer: 0.0000909971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325728 to the power of 1\/2, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, -87, 1, -0.5 in increasing order.\nAnswer: -87, -7\/6, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904397.\nAnswer: 13, 73, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 - 56836*o - 56840 = 0.\nAnswer: -1, 14210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 824179*y - 336234.\nAnswer: 824179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197565 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635905901?\nAnswer: 5981, 106321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/3 + 794*z**3\/3 + 7712*z**2 - 91360*z\/3 - 4409600\/3 = 0?\nAnswer: -20, 13, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -0.062, 38, 0, -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 6. Suppose -4*g + w*g = 159. Calculate the remainder when g is divided by (18\/(-7))\/((-3)\/21).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 18 = -3*z, -4*z + 693*u = 692*u - 25 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o + 1. Let p(q) = 19*q**3 + 4*q**2 - 2*q - 2. Let i(n) = p(n) + 2*s(n). Does 6 divide i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 32*t - 2. Determine b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 27, 2\/5 in decreasing order.\nAnswer: 27, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(192) + (sqrt(192) - (sqrt(192) - (1 + sqrt(192))*-5)))*-4)**2.\nAnswer: 3072*sqrt(3) + 49296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let i = -2 - -3. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 - 241. Let j(u) = -u**2 + u - 4. Let x be j(4). Let t = f - x. Solve 3*v + 2 = 4*v + n, -4*v + t = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24660, 49367, 74148, 99039, 124076, 149295, 174732, 200423?\n\"Answer: 6*r**3 + r**2 + 24662*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.4, 31, 5, -3\/8, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-4)\/(-6)). Let x(f) = 53*f**2 + f. Let v be x(b). What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 1 = -8*v. Let q be (-2)\/(-4) - (-82)\/(-180). Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.45108 to the nearest integer.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 25 + -16 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-212)*(-14)\/(686\/(-21)). Let t = z + 203\/318. Let g be 1\/(-2) - (-1)\/14. Sort 2\/9, g, 3, t in decreasing order.\nAnswer: 3, t, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 38 = h. Suppose -h = 6*j - 10*j. Let x = 20 - j. What is the remainder when 43 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - x**2)*(4 + 4*x**2 - 4) - 4193*x - 85*x**4 + 4193*x.\nAnswer: -89*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*o + 9664, 0 = -4*o - 5*v - 0*v + 9664. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 44566.\nAnswer: -15\/22283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 + 10*u**2. Factor s(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923704301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 141, 166, 191, 216, 241?\n\"Answer: 25*b + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5225 and 40375?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3\/122 (c) -2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/35, -14, 4, 6.99.\nAnswer: -14, 9\/35, 4, 6.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*b - 110*b - 4392 = -5079 - 14358 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31043906*p**5 - 26567060*p**2 wrt p?\nAnswer: 1862634360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17990920.8 seconds?\nAnswer: 208.22825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fprrprcrrrrfcbrfpn. Give prob of picking 1 r, 1 f, and 1 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = r + 2*u, 16*r - 21*r - 4*u - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let s = 0.666 - 0.686. Put s, 4, -1, p in decreasing order.\nAnswer: 4, p, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s - 3. Let n be c(-6). Let a = n + 18. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(-2*sqrt(28) + sqrt(7)))\/(sqrt(21)\/sqrt(3)*-6 - (sqrt(700) + sqrt(700) + sqrt(700)*-1 + sqrt(700))) + -5.\nAnswer: -5 + sqrt(7)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3569*f**4 - 40 - 242 + 3565*f**4 + (5 - 2*f - 5)*(-f**3 + 3*f**3 - f**3).\nAnswer: -6*f**4 - 282","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 6*a**2 + a - 3. Let p be r(3). Suppose p = 2*w - 10*w - 224. Let v = 30 + w. Solve 15 = 5*f + 5*z, 2*z = -5*f - v*z + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-135)*3\/2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 18 + (-4)\/(32\/70). Which is the closest to -1? (a) -0.0152 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-67 + 83)) + -58\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 910290 and 5790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d - 8. Suppose 5*u + 180 = d*g - 0*g, -2*g + 152 = 2*u. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 170 - 198. Sort -1, 2, -3, y in increasing order.\nAnswer: -3, y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10032 (base 4) in base 11?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*q - 13 = 0, 0 = -h - 2*q + q - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1464716)\/(-196) - 130\/3185. What is the highest common divisor of 141 and u?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -17*u**3\/6 + 23*u**2\/2 - 25*u. What is the tens digit of n(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7811521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -104. Solve 8 = -7*t + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111334 = -15*f + 89936. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 36 + 5 - 2*r + 2*r + 5*r to the form j + p*r and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1507261 - -2265261. What is x rounded to the nearest ten thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5. Let t = -2.9 - o. Let a be 12\/4*5\/(45\/(-12)). Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46954358 and 18?\nAnswer: 422589222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75254 and 17475082?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 126. Suppose 0 = 11*z - o - 13. Solve -3 = 3*b - 5*u, -b = b + u + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.174 * 0.3.\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -50\/207 (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39546 divided by 216.\nAnswer: -2197\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/10 + 2*389. Suppose 5*f - 1570 = -5*d, -5*d = 2*f - 787 - i. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 2, n: 2, b: 5}. What is prob of sequence ssb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 239*t**2 + 18*t**3 + 38*t - 239*t**2 wrt t.\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792841757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 919*y**2 + 6267 + 914*y**2 + 931*y**2 - 2764*y**2 + 8144*y**3 wrt y.\nAnswer: 24432*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(7 + 3834\/(-548)). Let t = 4245 - d. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + o**2 + 11 + 8 to the form f*o**2 + c*o + b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1661*s - 3846. Is c(-37) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + 2*k + (k - k - 8*k)*(1 - 2 - 1).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**8\/5880 - g**7\/490 + 2*g**6\/315 + 8*g**3\/3 - 27*g. Let o(p) be the second derivative of c(p). Let o(i) = 0. Calculate i.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7762.502kg?\nAnswer: 7762502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*c + 172, 5*x + 725 = -0*c - 2*c. Let l = -60 - x. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 28. Let l(i) = 15*i + 29. Determine 4*l(d) - 5*m(d).\nAnswer: 5*d - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c7 - 41?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12206, 16307, 27432, 49091, 84794, 138051?\nAnswer: 212372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 13 = 5*r, -2*r - b = -6*b - 19. Suppose 4*k + r*m - 102 = 0, 4*k + 4*m + m - 105 = 0. Let i = 42 - k. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.2 to 1 decimal place.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*w = -0*f - 10, f - 2*w - 6 = 0. Let h be ((-88)\/33)\/(-6*5\/(-45)). Sort -0.7, h, f, 5 in decreasing order.\nAnswer: 5, -0.7, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 17 + 54 - 18 - 60*z in the form m*z + b and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*sqrt(72)*3 + sqrt(72))**2 + 4*(-3 + 2*sqrt(72)).\nAnswer: -14124 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -3*q - 13, 15 = -3*q. Suppose -3*m + 6*j = 2*j - 10, 0 = -m + 2*j. Let s = m - r. Solve 4*h - 5*g = 30, -2*h + s*g = 4*g - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 537382 - -b?\nAnswer: 537390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*a = -4277 - 1937. Suppose 0 = -3*s - 4*o + 72 + 32, 3*s - 108 = -3*o. Calculate the remainder when s is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1904867\nAnswer: -38097.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/4)\/(17\/(-68)). Let n be (8*u + -4)*1. What is the common denominator of 41\/5 and ((-36)\/n)\/(6\/(-76))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvvh. What is prob of sequence vhv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/2 (b) 3\/7 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -604262 - 13?\nAnswer: -604275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/39, -122\/5 in descending order.\nAnswer: 2\/39, -0.4, -122\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 3) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-168)\/40 - -3)*-5 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1, p: 2}. What is prob of picking 1 p and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5454*l - 2143 + 2143 - 413*l - 1121*l + (0 - 2 + 1)*(0*l + 0*l + 2*l) - 2*l - 2 + 2 - 2*l + 3*l + l.\nAnswer: -6990*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n**3 - 24*n**3 + 2*n**2 - 5*n**2 - 4 - 2*n**2 + n + 2*n**4 + 0*n**2 as w + h*n**2 + a*n + p*n**4 + t*n**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8988481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icrrgrphrrr. Give prob of picking 1 i and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -7*b**2\/2 + 32*b + 199. Give g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -1409*g**4 - 3*g**3 - 134*g**2 + 4403. Find the third derivative of q(w) wrt w.\nAnswer: -33816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9245 + 0.4\nAnswer: 9245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6*x + 10, -x = -5*p + 115. Solve -5*i + 3*f = -p, 2*i + 4 = 4*f + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, c: 7}. What is prob of picking 1 s and 3 c?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154920 + -3718637\/24. Let d = l - -2219\/72. Let n = 34\/41 + 2482\/369. Find the common denominator of n and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728159064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:55 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87\/(-15) - (-2)\/(-10). Let v be y\/(-8)*(-8)\/(-27). What is the nearest to v in 2, -0.4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 v when three letters picked without replacement from ruvja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 + 5\/((-75)\/237) and -3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -725 divided by 3\nAnswer: -725\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -78, -187, -342?\n\"Answer: -23*k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26 and -630368.623.\nAnswer: -630394.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8224 - -8919. What is the remainder when k is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196932.7797 - -0.00589\nAnswer: 196932.78559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/71159 and -79\/12364.\nAnswer: 79982716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 731721900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/21 + 1)*91\/26. Let t(n) = 58*n**2 - 5*n - 5. What is the tens digit of t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 6*w**2 + 27*w - 84. Let n be d(8). Solve -11 = -n*a - 3*p - 1, 4*p - 4 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224576753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15735 is divided by 743.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {c: 2, m: 7, o: 1, f: 4, u: 2}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*x = 3933*x - 69894 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-12))\/(-3)*(-66)\/(-55)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s + 48*s. Solve s*q - 15 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/240 + w**5\/60 - 5*w**4\/12 - 9*w. Let z(o) be the third derivative of t(o). Let i(c) = c. Give 4*i(f) + z(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 i when four letters picked without replacement from uaiaaaauauu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*d + 18*d - 7*d**3)*(0*d + 4*d - 3*d) + 3*d**4 + d - d to the form a*d + y*d**2 + c*d**3 + h*d**4 + p and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 * -0.035\nAnswer: -0.05425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4480*b**4 + 132334.\nAnswer: -17920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x. Suppose r = 2*r - 2. Suppose 0*m - 4 = -r*m. Let v(n) = m*n - 2*n - n. Calculate f(v(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 45 = 135. Let r(a) = -a**3 - 2*a**2 + 7*a - 6. What are the prime factors of r(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160791*y - 160833*y + 168 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.048 - -0.05. What is i rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*t - 4656*t - 249583 - 124175 = -168 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 36 + 17*i + 12 to t*i + v and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**3 + 3*i**2 + 9*i - 7. Give a(-4).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386817 is divided by 55228?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + i = -7 - 6, q - 2*i = 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -24. Suppose -6*g + g - 5 = 3*c, 2*g - u*c - 14 = 0. Suppose -5*r - g*n = n - 3076, 0 = 5*r - 4*n - 3062. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 7 = -18*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/60 - 2*t**3 - 2*t - 18. Let z(w) be the second derivative of m(w). Let o(b) = 39*b**2. Determine z(o(d)).\nAnswer: -78*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21799, 20694, 19589, 18484?\nAnswer: 17379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8641435, 17282914, 25924393, 34565872, 43207351?\nAnswer: 51848830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 43. Suppose f*b = 4*y - 18, 7 = 2*y + 5*b + 28. What is the third derivative of -2*p**4 + 30*p**2 + 13*p**y + 40*p**6 + 2*p**4 wrt p?\nAnswer: 4800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4162*o**2 - 17158*o - 24. Let i(p) = -1387*p**2 - 5720*p - 9. Let j(s) = -8*i(s) + 3*t(s). What is the second derivative of j(f) wrt f?\nAnswer: -2780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 94. Calculate t(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109410*w - 109895*w = 31969 + 14591 for w.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Let j be (-2)\/12*-3*0. Let p be r(j). Let n(m) = m. Let h(c) = -c**2 + c + 2. Calculate p*h(t) - n(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1098*j + 53799. What is v(49)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 8288*s - 4293184.\nAnswer: -4*(s - 1036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/o)\/o**2)**(-45) assuming o is positive.\nAnswer: o**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6139*c**2*u**2 + 2*c**2*u - 2*c**2 + 168*c - 1 wrt u.\nAnswer: -12278*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - v = 12 - 3, -5*t = -5*v + 30. Let p(d) = -d**2 - 5*d - 7. Determine p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4614 by 1538.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-48)*(-6)\/(-1). Let j(v) = v + 4. Let h be j(-5). Is h not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w + 4\/9*w**3 + 1\/6*w**4 + 1 + 1\/3*w**2. Determine a so that s(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 13003933?\nAnswer: 13003933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98380 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7996, 7506, 7016, 6526?\n\"Answer: -490*f + 8486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/3 + (-574)\/(-21))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 27 = -b - r, -r = -3. Suppose 3*l - 557 = -5*h, l - 5*h - 290 = -b. Suppose s - 10*s + l = 0. What is the least common multiple of 24 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*g**2 + 34*g**2 + 13*g + 34*g**2 - 156*g**2 + 44*g**2.\nAnswer: -g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000274 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/((-15)\/160*4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/5280 and -115\/528?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-163)\/(-240) + (-32)\/(-40) and 173\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, 9, 11 in descending order.\nAnswer: 14, 11, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 + 4 = 0. Suppose d + t - 4 = 0. Suppose d*n - 10 = 2*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 5. Let t be j(5). Let b(n) be the first derivative of -n**3\/3 - 5*n**2\/2 + 4*n - 261. Determine b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5116\/(-16))\/1 + 0. Let n = -315 - g. What is the common denominator of n and ((-1)\/6)\/((-1)\/73)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let p(u) = -269*u - 1079. Let w be p(-4). Let v(d) = 9*d**2 - d - 5. What is w*y(j) + v(j)?\nAnswer: 9*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 307150 divided by -30715?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 1. Determine x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4318, -4316, -4314, -4312, -4310?\n\"Answer: 2*d - 4320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 201, 207, 215, 225, 237?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1566756 and -29\/652?\nAnswer: 1566756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*0.04865.\nAnswer: -0.92435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1090515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - (-24)\/13) + 1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630524 and 33420?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(468)*1)**2 + (sqrt(13) + sqrt(208) + 0)**2 + sqrt(13) + (-1*sqrt(130))\/sqrt(10) + 4.\nAnswer: 47129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -59*(-4)\/20 - (-4 + 38 + -22)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**3 - a - 1. What is m(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 8 (b) -0.1 (c) -1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 441 + -41. Suppose 5*g - f = 5*l, -l + 4*l = -4*g + 327. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 300503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.5. Let k = 0 - v. Put -2\/11, 0.2, k in increasing order.\nAnswer: k, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*q + 3*q + 72, 5*q = 0. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 258, 429, 596, 759?\n\"Answer: -2*k**2 + 177*k + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - 0) + 18)\/((-79)\/79). Put -5, v, -2 in decreasing order.\nAnswer: -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 1561*d**6\/10 - d**5\/10 + d**4\/6 + 1541*d**3\/6 - 12948*d. Find the second derivative of z(v) wrt v.\nAnswer: 56196*v**2 - 12*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and 3.5.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 34\/13, -511, 7, 6, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 26. Let w be 9\/4 - u\/8. Solve 4*j + 15 = 2*o - w, o - 13 = 3*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411064976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905, 1865, 2901, 4025, 5249, 6585, 8045, 9641?\nAnswer: 11385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskkkjpkk. Give prob of picking 3 k.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = b + 55. Is 12 a factor of 1*(b + (3 - -141))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1*n)\/n)\/n)**(-13\/3)\/((n\/n**(-2\/15)*n*n)\/n*n**15) assuming n is positive.\nAnswer: n**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let f(p) = 6 + 2*p - 3 + p**2 + 0*p. Let t = -1151 - -1148. Let k(g) = g**2 + 3*g + 3. What is h*k(a) + t*f(a)?\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mroornnormrnsmmmmmrs. Give prob of picking 1 m and 2 s.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -0.16, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 5*b + 1. Suppose 17 + 4 = -3*q + 2*f, 0 = -4*f. Is l(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -4.8. Let o be -3 + 5 - (-1 - -11). Let t be (8\/20)\/(o\/(-5)). What is the closest to 1 in q, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 119. Suppose 6*i = 3*n + 9*i - 12, 0 = -4*n + d*i + 24. Let o(u) = u + 1. Let k be o(2). Solve -2*c - k*c = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 6\/(-8)*(-411520)\/240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - p**3 + 15*p - 8*p - 2*p**2 in the form n*p + x*p**3 + f + v*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 16*w**2 + 10*w**2 + 2*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -119804\nAnswer: -119804.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -202201012?\nAnswer: 202201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 22 = -m + 3*m, a - 7 = m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/13 + 1258*a\/13 - 32508\/13 = 0. Calculate a.\nAnswer: 27, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 23. Let z(t) = t - 11. Let v(m) = -2*u(m) - 5*z(m). Let g be v(5). What is the first derivative of 4 - 6*i + 2 - g*i + 6 wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576627837.99 + 3.7?\nAnswer: -576627834.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73016601?\nAnswer: 3, 7, 19, 182999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 = 3*g. Let n = -3 + g. Let p(f) = -f**3 + 2*f**2 + 2*f. Let v be p(3). Sort v, 2, n in descending order.\nAnswer: 2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 74 = 102. Solve -5*y = -2*k + 7 - m, -y + 6 = -k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - 14c3d?\nAnswer: -14c5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 + 15*p + 1. Give o(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-178)\/(-135))\/(72\/(-90)) and 133\/66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -478 - -479. Let f be -1 + (-1)\/3 - -1. Which is the nearest to f? (a) 0 (b) v (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-33)\/17) + (-1343932)\/(-63818).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 812?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-52)\/8 - -6). Is 24\/37 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076962.\nAnswer: 2, 233, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (80\/27 + -3)\/(5 - 14147\/2838)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 517 + -490. What is the highest common divisor of 432 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/6 + 2876*g. Let x(y) = 4195*y**2 + 2*y. Determine x(f(i)).\nAnswer: 16780*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1295)\/(-882) + (-4 - (-15)\/6). Which is the third smallest value? (a) 8\/19 (b) 1\/6 (c) z (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170075\/1064 + 1279\/8. Find the common denominator of o and -103\/570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1705286, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -550, -1146, -1756, -2386, -3042, -3730?\n\"Answer: -p**3 - p**2 - 586*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5803 rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8940714187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)\/((-9)\/(-48)). Let p = a + -13. Solve -4*i = p*r - 10, 5*r + 3*i + 14 = 4*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322*(675\/(-210))\/45?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 201. Let y(w) = 42*w - 938. Let n(a) = 14*i(a) - 3*y(a). Let q(h) = 9*h + 7. Let c(d) = 5*d + 3. Let m(k) = -7*c(k) + 3*q(k). What is n(m(o))?\nAnswer: 112*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, 38, -4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*g + 249*g - 3 = -2*w, 5*w - 12 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/410 and 13\/20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44289918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423885 is divided by 1116?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.99326 millennia to months.\nAnswer: 815919.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572 and 896856?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose t = -5*k + 4*b + 277, 0 = 4*k - 3*b + 2*b - 215. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13489*a - 608 = 13527*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, 1\/5, 3\/49, -16\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 101 = 4*j, 90 = -680709*b + 680708*b - 5*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 1. Let k = -377 + 377. Which is the third smallest value? (a) -5 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1518 divided by -3\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-31 - 1337)*2*15\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560236?\nAnswer: 2, 3, 7, 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6754 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 804532.3 days?\nAnswer: 69511590720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v**(-5))\/((v*(v\/(v**(-1\/7)\/v))\/v*v)\/(v**4*v)) assuming v is positive.\nAnswer: v**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(sqrt(75) + 0))**2*-4 + -1.\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = 4*n + 8*n. Let q = 116 - 298. Let v = n - q. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -44 - 37*u - 33 + 100 + 104. Calculate the least common multiple of m(3) and 90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11511 (base 8) in base 9?\nAnswer: -6685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6323504000 to the nearest 1000000.\nAnswer: -6324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*d - 228*d = 5166 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/6 + 3\/(-9). Let g(b) = b + 1. Let k be g(1). Differentiate 3 + 0*f**k + 3*f**t - 3*f + 3*f wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(7 - 10). Let r be ((-16)\/(-4) - 1) + -1. What is the fourth smallest value in r, q, -5.2, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/165 - -401\/9240. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1794 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-157 - -84) + 51 + 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -0.1, -2\/3, -2\/19 in decreasing order.\nAnswer: -0.1, -2\/19, -0.4, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17815529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-19 - (-14 + (12 - 14))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126101, 126107, 126125, 126161, 126221, 126311, 126437?\n\"Answer: s**3 - s + 126101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 12:13 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*y + 16 = -y, -2*c + y = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26088 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(2 - 1) + 5. Solve 0 = -0*l + 5*l + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-47)\/(-7)*(-48)\/(-1156). Let y = g - -2\/289. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5759*f**2 - 11554*f**2 + 6023*f**2 + 0 - 1.\nAnswer: 228*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 - 110. List the prime factors of z.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f - 303 = -9 - 102 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 42. Let u be l(-14). Solve -m - 2*m + 12 = u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2013 by 671.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 - 2181*w**3 - 372774*w**2 + 8610228*w - 37766520 = 0. What is w?\nAnswer: -374, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 5*o + 2. Let b(r) = r + 1. Let t be b(4). Let y be l(t). Factor 22*m - y*m**5 + 2*m**3 - 22*m.\nAnswer: -2*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14689 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4246, -17021, -38322, -68155, -106526, -153441?\n\"Answer: -p**3 - 4257*p**2 + 3*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 13*p**6\/40 - p**5\/60 + p**4\/24 + p**3\/6 + 385*p**2 - 1. Determine s(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31626593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 1052 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13706876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Let i(c) = c**3 - 3*c**2 + 2*c - 3. What are the prime factors of i(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -25\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 5*i)*(-5*i**3 - 18*i**3 - 44*i**3 + 0*i**3 + 3*i**3 - 2*i**3 + (2 - 2 - 2*i)*(3*i**2 - 3*i**2 - 2*i**2)).\nAnswer: 310*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/7 - 34\/(-84). Let s(o) = o**2 + 4*o + 6. Let v be s(-4). Let r be (-4 + 0)*v\/(-42). Which is the second biggest value? (a) 0.5 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1853825789857 - -1.44.\nAnswer: -1853825789855.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(5 - 1 - -1). Suppose o = h*w - 0*w + 215, 677 = 3*o + w. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-686)\/(-36))\/((-1)\/57). Let m = -1070 - l. What is the common denominator of 46 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 23*u - 302. Give l(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 5*l, 11 = 4*w + 2*l + 3. Suppose 78 = 2*o - 2*z, -w*z = -3*o - 2*z + 127. Suppose 2*n = -0*n - o. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2173924 (base 10) to base 9\nAnswer: -4073051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2955*c + 22 + 69 = 2968*c. Calculate the remainder when 1322 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3 + 3312*t**2 - 3313*t**2 + 3. Let u(q) be the first derivative of -q**3\/3 - 1. Give l(u(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736552.5l to millilitres.\nAnswer: 736552500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/2 - 14235*v**3\/2 - 5034087*v**2 - 827721930*v + 1675637124 = 0.\nAnswer: -322, 2, 5387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62696.22 hours in microseconds?\nAnswer: 225706392000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and 38.7.\nAnswer: -8.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 945144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3295033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -1. Let c = x + -7. Suppose 2*b - 18 = -2*l, 5*b = -4*l + 15 + 26. Solve c*o - b = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128242716 divided by -18320388\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 8*j + 27. Suppose 31*p + 5*a + 513 = 33*p, 3*a = 15. Calculate the remainder when p is divided by q(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -3*g + 0 + 0*g**4 + 1\/21*g**7 - 2\/15*g**6 + 0*g**3 + 0*g**2 + 1\/10*g**5. Determine q so that y(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 60) + (-10 - -32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3346 - -56861\/17. Let i = -462\/85 - z. Calculate the common denominator of -43\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = 4*u. Put -4, 5, 2, u in ascending order.\nAnswer: -4, 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6758)\/(-2) + -3 + 2. Suppose -6366 - t = -6*k. Let u = -21102\/13 + k. Is 2 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c + 6. Let m be (-2)\/(-10)*(c - 3). Is m < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -84\/5, 2\/7, -5\/13, 0.1, -57, 1\/6?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*o = 232*o + 93 - 477 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a026 - -8829?\nAnswer: -113b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 22*v - 4. Let o be (-6)\/10*(-20)\/4. Let n be x(o). Suppose 3*k - 19 = n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*b - b - 533, -3*b - 4*y = -361. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 20014341?\nAnswer: 20014341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 7*k + 16. Does 47 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5)*-4)**2*-1.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 44\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2003238162 - 13.\nAnswer: -11.7996761838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -122. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) -114 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:25 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -5300, -2, 0 in decreasing order.\nAnswer: 4, 0, -2, -5, -5300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 - 12*h. Let q(k) = -k**3 + 8*k**2 - 11*k. Suppose 68*a + 193 + 215 = 0. What is a*g(v) + 7*q(v)?\nAnswer: -v**3 + 2*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 6}. Give prob of picking 1 q and 3 s.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 1425*v**2 - 90504*v - 186732.\nAnswer: -3*(v - 399)*(v - 78)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.257 + -0.157. Let l be -2 - 5\/((-10)\/(-148)). Let c = l + 299\/4. What is the third smallest value in u, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 divided by 60\nAnswer: -1013\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4620 = -a + 6*a. Suppose 10*y = -a + 3034. List the prime factors of y.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-23928.\nAnswer: -4785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 5*w**2 - w**3 + 0*w**2)*(-20*w + 27 - 27).\nAnswer: 20*w**4 + 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 5*l + 5. Let d(g) = 27916*g**2 - 27908*g**2 + 8*g - 2*g + 6. Let m(h) = 5*d(h) - 6*y(h). Let p(f) = 0 - 1 - 3*f + 3 + 1. What is m(p(o))?\nAnswer: -18*o**2 + 36*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*q - 114*q = 60. Which is the biggest value? (a) -6 (b) q (c) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -6. Let j = u - 13. Sort 0.1, 4, j.\nAnswer: j, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 4. Let o(m) = -3*m + 4 + 0*m + m + 4*m. Let y(q) = -3*i(q) + 2*o(q). Differentiate y(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 272*l - 1951. Determine n(-10).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0, -2, 46, -0.09, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*v**(-3\/16))\/(v*v*v**(-10\/7)*v*v*v**(8\/7)) assuming v is positive.\nAnswer: v**(1467\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - -7. Let g = -26 + a. Solve -y = 2*y + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7.018. Let s = -51.982 - z. Let p = 50 + s. Which is the closest to p? (a) -0.4 (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22783394?\nAnswer: 2, 19, 103, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i + 5*r - 80, 4*i = -2*r - 130. Let p be (i + 24)*((-10)\/6 - -1). Suppose -g - p*g = 0. Solve -3*c - 1 + 4 = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544 = -109*u + 41*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9077022.\nAnswer: 2, 3, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:06 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -99*j - 9. What are the prime factors of n(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -35*r**2 - 2*r. Let i(b) = 105*b**2 + 5*b. Determine 4*i(x) + 11*j(x).\nAnswer: 35*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 7\/43, -1\/51, 0.58, 0.1?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - -1.97. Suppose b = -2*z + 3, -2*b + 7 + 2 = 5*z. Suppose z*h = 2*h. What is the third biggest value in u, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/10 - 1\/(-2). Let x be (k\/(-2))\/(6\/72). Is (x\/24)\/(2\/328) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(6) - (1*sqrt(96) - sqrt(96))))\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 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: Collect the terms in -475*y - 476*y + 1420*y - 467*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7588 = -18*l - 7966 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/24 + 44*l**3\/3 - l**2. Let u be f(0). Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -0.4, -3, -31, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -7*k**4\/24 - 6*k**2. Let w(g) = -g. What is w(u(t))?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 0*i - 963*i**3 + 953*i**3 - 3*i**2)*(5*i + 0*i + i) to the form l*i**3 + d + r*i + o*i**4 + c*i**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227847.\nAnswer: 3, 53, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15)*5 - 35\/21. What is the closest to 0.1 in 0.2, 6, 28, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 15*z\/2 - 18.\nAnswer: -(z + 3)*(z + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 2*r + 148 = 0, -16066 = -2*z + 2*r - 16052 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(0 + sqrt(117)) + sqrt(117)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-3) - -2 - (-133)\/19.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 - (4 + -6). Suppose o*x = 7*x - 28. Calculate the least common multiple of 6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g, g - 15 = 12*v - 15*v. Solve v = -5*p + 6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97.067 + 0.067. Let o = -96.9999984 - y. What is o rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, h: 12, n: 3, g: 2}. What is prob of sequence wg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -34*k + 6. Let l(m) = -m**3 - 3*m**2 + 4*m + 5. Let c be l(-4). Let h be j(c). Let a = 273 + h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(45)*6 + (sqrt(45) - (sqrt(720) + sqrt(45) + -1)))**2*-2.\nAnswer: -5810 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*w = -8, 5*z + 13 - 41 = w. Suppose 5*v - 1 = -z. Suppose 2*n + 6 = -n. Which is the biggest value? (a) -0.2 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k = 50 + 112 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 17*j - 863. Let w be d(39). Let p(h) = h**3 + 5*h**2 - h. Determine p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.96806 rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.842 - 0.742. What is the second smallest value in 3, -9.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 8\/3, -179, 5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(sqrt(117)\/sqrt(3)*-4 - sqrt(39))\/(sqrt(12)\/sqrt(16)) + -3)**2*-3.\nAnswer: -62475 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z + 7*z**2 + 1\/15*z**6 - 2\/3*z**3 + 0*z**4 + 0*z**5 + 0. What is the derivative of a(l) wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 244, 359, 468?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103828281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/12)\/((-325)\/(-52) - 4). Which is the nearest to 6? (a) -0.1 (b) -0.3 (c) m (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 21.3 (b) 0.5 (c) 359\/5 (d) 1\/25 (e) 3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175 + 108 + -19 - -84.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 11 - 29)*(4*d - 6*d - 14*d) + (-4 - 2 + 5)*(-d - 2 + 2).\nAnswer: 609*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/15 - 22*h\/15 - 952\/15 = 0. Calculate h.\nAnswer: -17, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = d + 2650, 0 = -68*a + 71*a - 4*d - 1981. Calculate the remainder when a is divided by 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72 - 8*j**4 + 2*j**4 + 12 + 11*j**4 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0, 7, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (92 - (1 + -1) - (-1021 - -1033))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 191, 750, 1685, 2996, 4683, 6746, 9185?\n\"Answer: 188*f**2 - 5*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247196 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020014 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20292234, -20292233, -20292232, -20292231, -20292230?\nAnswer: -20292229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 2. What is i(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11707.9 - -11708. Is 1849 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2409 + -2405. Solve 5*a - 15 = 0, c*h + 7 = 5*a - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-3\/19)*k))\/(k*k**13))**(-13) assuming k is positive.\nAnswer: k**(3419\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1722 or -5318?\nAnswer: -1722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*y - 120. Let a = -189 - -201. Suppose 16*p = a*p + y. Solve p = -c + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(600) - 3*sqrt(600)) + sqrt(600))*-4 - sqrt(600) - sqrt(600)) + sqrt(600) - (sqrt(600)*-2*6 + sqrt(600)))\/(-4*(sqrt(588) - -3*sqrt(588))*-6).\nAnswer: 5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-24.138\nAnswer: 4.8276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = -6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*q + 12, 3*l - 7 = -q + 3. Suppose 0 = -2*t, y + l*t = 5*y - 192. Calculate the lowest common multiple of y and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 15 = -18*g, 5*g - 3*z = -1696 + 1780 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4243724 is divided by 471511.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*b - 4, -8 = -5*o - 3*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + f - 13 = 0, 2*a = -10*f + 13*f + 25. Suppose -a*v + 468 + 260 = 0. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1921.706734 to the nearest integer.\nAnswer: -1922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/7, -0.069?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s - 7. Let v(l) = 10*l - 8. Let j(t) = -5*f(t) + 4*v(t). Let d(a) = -2 + 9 + 14*a - 15. What is -3*d(k) - 8*j(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 28\/77017, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 40800 = -42250 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 - 214. Let i = -3 - -3.1. Put w, -1, i in descending order.\nAnswer: i, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311879269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 + g**3\/6 - 183*g**2 - 2. Let b(w) = 6. Calculate -b(p) - 2*f(p).\nAnswer: -2*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 + -1 - 6) + (-50 - (-139 + 76))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Suppose 0 = -y*a + 3*n - 27, 2*n - n = 2*a + 17. What is the tens digit of (28\/a)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6937.17007 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*r**3*x**2*z + 6224*r**3*x*z**2 - 8*r**2*x*z**2 + 8*r**2*x*z - r**2*z - 23*r*x**2*z**2 - 10*r*x*z**2 wrt r.\nAnswer: -324*x**2*z + 37344*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79.5 + -64. Let m = -9.4 - 2.6. Let t = b + m. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247\/188 - -3\/47. Let q = -127 + 127. Is b not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3861034.593 and -25582.\nAnswer: -3886616.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from {p: 1, e: 1, h: 2, s: 1, q: 2, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-198) + (-31)\/(-6). Let q(l) = -3*l**2 + l - 5. Let s(i) = 2*i**2 + 4. What is a*s(u) + 4*q(u)?\nAnswer: -2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.10764 and 4.\nAnswer: -0.43056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 4*c + 6, 0 = -4*k + 2*c + 14. Suppose k*l - 4*l = 0. Which is bigger: l or -12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 105 - 30 = 0. Which is greater: a or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (-5 - 0 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let u(m) = 2*m - 1. Suppose 0 = o + 5, -2*o = -4*x - 4*o - 2318. Let q = -572 - x. Give q*r(d) - 3*u(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246.85399 rounded to the nearest integer?\nAnswer: -1247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3673, -14624, -32875, -58426, -91277?\nAnswer: -131428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 775 - -974. Let r = 2599 - j. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6416.312 millennia to years.\nAnswer: 6416312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-1*sqrt(112) - sqrt(112)) - (-2 + (sqrt(112) - 2*sqrt(112))))**2.\nAnswer: -726 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2794 or -539?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-181)\/1448 - (-386)\/16 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let a(c) = -63 + c - 6 + 70. Determine a(n) + 2*z(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248810 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 8. Let v be o(2). Is 2\/223 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/57900 and -47\/420740?\nAnswer: 6311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*m = 39500 - 55186 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 5*b**2 - 6*b + 3. Let d be (-175)\/(-28) + 2\/(-8). Let c be t(d). Suppose -5 = -2*r + c. Solve -r*j - 3 = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let f(a) = -2*a. Let j(s) = 3*f(s) - 8*m(s). Let z(p) be the first derivative of -p**3\/3 + 1. Determine z(j(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4888, 39073, 131866, 312571, 610492, 1054933?\nAnswer: 1675198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.7. Let u = 98.2 - 102.31. Let a = -0.11 - u. What is the second smallest value in h, 2\/7, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5398*f**2*j + 9*f*j + 3*f - 30*j wrt f?\nAnswer: 10796*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/340*(-11)\/(275\/(-20))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/1 - -1)*-7. Let j = w + 6. Let t(k) = k. Let l(f) = 8*f - 4. Let b(c) = j*l(c) + 2*t(c). What is the first derivative of b(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/104*42\/56*-8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -28, -5*o = 2724*t - 2727*t - 11. Suppose 4*i - 24 + 4 = 0. Suppose d - 8 = i*d. Put 1, d, t in ascending order.\nAnswer: d, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198137909065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1221 + -1525?\nAnswer: -3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -85*-2.9\nAnswer: 246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1837 - 1805. Calculate the lowest common multiple of 736 and o.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1835\/12 - -153. Let d = -71 + 498\/7. Put d, f, 1\/2 in ascending order.\nAnswer: f, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 157109266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32136\/2340 + (14 - 8 - 20)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2435 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80350 - 8838617\/110. Let c = 3236851\/291610 - -2\/29161. Calculate the common denominator of c and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o + 3. Let s be l(6). Let w be 2*(0 + s\/10). Let p = -121\/5 + 857\/35. Which is the third biggest value? (a) w (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18300\/9*(-8904)\/(-1060)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067853 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 38 = 3*z, 67*q - 68*q = 2*z - 22 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o + 20*o + 15*o + 360514*o**3.\nAnswer: 360514*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = -3*s + 13*s. Suppose -n + 6 = -s. Let j = -34 + n. Solve -6*d + j = -3*f - 3*d, 0 = 5*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40379, -161106, -362317, -644012, -1006191, -1448854, -1972001?\nAnswer: -2575632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 22. Solve -5*f - 2 = -k*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 + 0.4. Suppose -12*n + 10*n - 3*f - 6 = 0, f + 2 = -4*n. Sort n, x, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4093\/5 - -81937\/100. Find the common denominator of k and 121\/2520.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7235*c**2. Let t(r) = -170970294*r**2. Let f(v) = 94523*i(v) - 4*t(v). Let n(s) = -s**2. Give f(n(w)).\nAnswer: 7271*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t + 2016 = 34*t. Is t at least as big as 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 10*t + 20. Give u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d - 64. What is p(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:45 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17514777 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29199 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-396)\/27)\/(4\/(-18)) and 15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cry when three letters picked without replacement from xdcyddvxddrcycd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 467\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030 (base 6) in base 11?\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k - 3*y - 16, 4*y = -4*k + 16. Suppose 41 = 3*n - k. What is the greatest common divisor of 45 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -14392\/2589?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 4*m**2.\nAnswer: -4*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 43156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*d**3*g + 42*a**2*d*g**2 - 5*a*d**3*g**2 + a*d**3 + 14*a*d**2*g - 3*d**3*g**2 wrt g.\nAnswer: 84*a**2*d - 10*a*d**3 - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2442\/(-121) - (-2)\/11. Let p = 36 + i. Let v(t) = t**3 + 6*t**2 + 5. What is the remainder when v(-5) is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -8, -5, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 + 3)*(-132 + 131 - 3*i - i) + i - 2*i + 0*i in the form x*i + g and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (50\/8)\/((-4)\/(64\/4)). Which is the nearest to -2\/7? (a) 0 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/((-1)\/(-3)). Suppose 0*r - 3*r - 15 = 0, -2*i + 5*r = -35. Let k = i + c. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135252 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b74 + -69?\nAnswer: -bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 141569 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:19 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -194. Solve -4*c + i*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4 + 10*w - 5 + 1. Let d(p) = -p. What is d(j(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -41\/5, -10, 277, 2, -1 in descending order.\nAnswer: 277, 2, -1, -41\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 14322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/90 - 2*k**4\/9 - 7*k**3\/9 - 3*k**2. Solve r(d) = 0 for d.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - -14 - (-15)\/(-4). Which is the third biggest value? (a) -2 (b) z (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - -1 - (-143 - -142)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 702345221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:49 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 7640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33431 + -30?\nAnswer: -34011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -4 + 102 + -35 + 8\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 35*f - 196. Let l be a(7). Which is greater: l or -70\/51?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j**2\/2 - 1143939*j\/2 - 157788 = 0.\nAnswer: -8\/29, 13149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -32*w + 349. Determine y(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0 = -2*y + 1, -3*y = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 95?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:23 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1086\/(-1580) + 166\/(-13114)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 11 = 19. Suppose -15 = -z - 0*j - s*j, 0 = -3*z + 2*j - 25. What is the remainder when 51 + (-9)\/(-3) + z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4516\/3 - -1505. What is the nearest to v in 6, -1\/2, -4\/5, 2\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 9*a)*(3*a - 6*a - 3*a + (2 - 3 - 1)*(a + 0*a + a) - a + 2*a + 0*a + 3*a + 0*a - 2*a) to the form r*a**2 + b*a + h and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/9 + 7*z**2\/9 + 34*z\/9 - 40\/9.\nAnswer: -(z - 10)*(z - 1)*(z + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610070 plus 314?\nAnswer: 1610384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + 438 + 50. Let v be (1\/2 + -1)*262. Let m = c - v. What is the highest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422fd6 (base 16) in base 8?\nAnswer: 20427726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18036 = -739*b + 748*b. List the prime factors of b.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21417 and 469227.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 1 + 4 - 2)*(-u - u - u).\nAnswer: -3*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 4*u**3 + 1 + u**2 - 6*u**2 - u. Let i be v(5). Let z = 0.1 + 4.9. What is the second smallest value in i, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + -1 + sqrt(1008) + -5)*-4)**2 + -3.\nAnswer: -2880*sqrt(7) + 17025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187364.1nm in kilometers?\nAnswer: 0.0000001873641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24815 (base 12) in base 5?\nAnswer: 3041203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcqsqzzqczpzrrrzzrs. What is prob of sequence sz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -3, 12, -53 in decreasing order.\nAnswer: 12, -3, -39, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49898 by 2.\nAnswer: -24949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 895*a**2 - 69*a + 231. Is y(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 26. Let w(l) = 15 + l + 0 - 23 + 8. Give t(w(k)).\nAnswer: -5*k**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 - -2*(-3)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -3\/5, 21 in descending order.\nAnswer: 21, 0.1, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-5))\/21*(-6)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 + 4500*w**2 + 74965*w - 79470 = 0. What is w?\nAnswer: -883, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 21 = -31. Let d = 13 + x. Suppose d = 6*l - 0*l - 72. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 4. Suppose -p + 2*p = f. Let c = p + -3. Solve 5*y + c = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 4 - 4 + (3*o - 6*o + 2*o)*(-10*o**2 + 4*o**2 - 7*o**2).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 11331*h**3 - 11331*h**3 - 11339*h**3 + 45324*h**3 - 11336*h**3 + 7*h.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3920 + -2239. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.0369 to the nearest integer.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.39645 - 223.53355. Let u = -434 + 211. Let l = i - u. Round l to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 59*x**3 - 3*x**2 + 3*x - 35. Let n(l) = l**3 - l**2 + l. Let f = 6 - 7. Let z(b) = f*k(b) + 3*n(b). What is the first derivative of z(m) wrt m?\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -14504.\nAnswer: 14504.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 14, 21, 28, 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -54*(-3)\/(-2) - (21 - 22). Which is smaller: o or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 4\/9, 12.6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 23. What is f(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10140810)\/(60\/33 + -2). Suppose 5*w = 3*o - 7665891 - t, 0 = -4*o - 5*w + 84587093. Suppose 2*m - 1946777 + o = 0. Round m to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165.4 - 165.2. Let f = 1 + -0.9. Which is the third biggest value? (a) o (b) f (c) 8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 8}. What is prob of sequence nn?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 84*f - 233. Determine z(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**3 + x**2 - x. Suppose 1 + 1 = 5*p + 3*d, 5*p - 9 = 4*d. Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6741 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 158*r**2 - 9*r + 25. Let j be o(-5). Suppose 57*q - j = 51*q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*k + 10, k + 6 = 4*m + 1. Suppose m = -3*l - 0*l + 108. Suppose -l = -3*u - 0*u. Calculate the remainder when 47 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27322437.\nAnswer: 3, 19, 29, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4\/(-5) - (-544265577)\/215. Suppose 2*y = 968532 + p. Round y to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*12\/225*(-40)\/16. Let c = 62 - 57. What is the third biggest value in q, c, 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684557 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29420513 - 29420513 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + j + 11, j = -4*s + 3 + 2. Is 13\/15 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1705, 1682, 1659, 1636, 1613?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 - 2*x - 3. Let l be -3*(-2 - 2\/(-3)). Let z be f(l). Solve 0 = -2*a + p + p, 0 = -2*a - z*p + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1326033*-0.22\nAnswer: -291727.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-2*a - 1 + 1) + 0 + 0 - a + 1 - 1 + a + (-a + a - a)*(-1 - 1 + 0) - 2*a + a + 2*a as f*a + h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 35*y + 18 + 10*y in the form q*y + k and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -214?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2065 and 181661.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12699 and 14193.\nAnswer: 241281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 8, f: 1, i: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 66, 161, 324, 573, 926?\n\"Answer: 3*p**3 + 7*p**2 + 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f - 2*m = -29*f - 1, -5*f + m = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497606657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3154 + 44?\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*l + 518, -5*l + 17 = q + 116. Let g be (-9)\/(-26) + 0 + q\/(-676). Which is greater: -72 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3. Let y(a) = -3*a**2 - 3*a**3 + 3*a**2 + 4*a**3. Calculate -5*y(i) - z(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtnpddo. Give prob of picking 1 o, 1 p, 1 t, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22689 - -22689.02. Which is the fifth smallest value? (a) -7 (b) h (c) -5 (d) 2\/13 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*k - 73*k + 141*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 21 - -21 - (-7 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/42)\/((-132)\/(-308))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5801569\/283 and 20499 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153569184 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-2 - -6) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230458, 237178, 243898, 250618, 257338?\nAnswer: 264058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/99 + -184\/693. Let a be 2\/8*(-32 + -4)\/(-9). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.19, 2, 123, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:39 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*w - 805*w = -232*w - 232*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {e: 2, y: 5, g: 2, d: 1, h: 4}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1725 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142491 + 4*c + 271442 - 128951.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (611\/(-94)*1\/(-13))\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/14 and ((-92)\/(-368))\/(49\/85)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 3. Does 3 divide l(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1396*l**2 - 1457*l**2 + 2930*l**2 - 1304*l**2 + (3*l - 3*l + 2*l**2)*(2 + 1 - 4) as s*l + r + o*l**2 and give o.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0.720792\nAnswer: 3.279208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -246, -962, -2140, -3768, -5834, -8326, -11232?\n\"Answer: 2*a**3 - 243*a**2 - a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.968739 to two decimal places.\nAnswer: -17.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -625018 or -625244?\nAnswer: -625018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 723405 and 765165?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 77*u**3\/3 - 3*u**2\/2 + 6*u. Let c(p) = 16*p - 94. Let o be c(6). Is y(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/29)*p**5*(p*p**(-1\/4))**(-26) assuming p is positive.\nAnswer: p**(-845\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5. Let a be u(0). Let p(i) = -i**2 + 6*i - 9. Calculate p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/14 - 8\/7. Let l = -35.87 + 36.17. Suppose -m - 2*s = -5, -25 = -10*m + 5*m + s. What is the fourth biggest value in -3, m, b, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 834908237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdg when three letters picked without replacement from gdfiiiddigdfffffg.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - r + 32, -x - 3*r = -19 + 8. Solve 2 = 4*p - z, -8 + 7 = -x*p + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 150. Let m be (-49)\/u + (-1)\/3. Sort m, -1, -1\/6 in increasing order.\nAnswer: -1, m, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7141 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3716569912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680692.7 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1047, -1049, -1051?\n\"Answer: -2*l - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24889, -49675, -74461, -99247?\n\"Answer: -24786*u - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 1. Let d(f) = 489*f - 468. Let u(x) = -d(x) + k(x). Find the first derivative of u(p) wrt p.\nAnswer: -487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.7 + -43.7. Let h = -0.2 + 0.2. Put i, h, 3\/5 in increasing order.\nAnswer: h, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15751\/7155 - 11\/4770. Find the common denominator of -121\/12 and t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l*l**6*l))\/l)\/l)\/l**(-2\/5))\/((l**(-6\/13)\/l)\/(l\/(l*l**(-5)))) assuming l is positive.\nAnswer: l**(-204\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242.34, 5, 3\/2.\nAnswer: 3\/2, 5, 242.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*6*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.01441 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 4*b**3)*(-14*b**2 + 303*b + 0 - 315*b - 1).\nAnswer: 56*b**5 + 48*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*(-4)\/110*(-83715)\/111620\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -0.827 (c) 1\/4 (d) 0 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 35*j**2 + 1. Let h be a(-1). Suppose 60*r - 284 = 59*r. Suppose -1184 + r = -5*u. Calculate the highest common divisor of h and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m. Let o(n) = -3*n. Let v(u) = -3*o(u) - 2*p(u). Let s(i) be the first derivative of 16 + 15 - 8 - 2*i**3. What is s(v(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 83. Let q = 0 + m. Solve -q*o - 10 = -14*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 217490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781600947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)\/x**(-10)*(x**(-2\/5))**26 assuming x is positive.\nAnswer: x**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*o = 905*o + 204 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.03, 108\/7, 0?\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3648)*-5 - sqrt(3648)) + sqrt(3648))\/((sqrt(162)*3)\/sqrt(6)).\nAnswer: -40*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a - 15360 + 2137 = 518 for a.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.40891 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 293. Suppose -j*f - 874 = -3874. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-1*(1 - 3)\/(-2)). Suppose -31 + o = -6*q. Put q, -3, 8, 1 in decreasing order.\nAnswer: 8, q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1175734 and 2603411?\nAnswer: 36447754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -102. Solve -12*x = -q*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 4*s + 3*s + (3 - 4 - 1)*(-3*s + 4*s - 3*s) + s + s - s + 6*s - 1 + 1.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -5 (c) 6 (d) -0.1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 515 (b) -0.43 (c) -3 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75902 + -98604?\nAnswer: -98604.75902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = 0. Suppose 4*n - 3*n = z. Solve t - 5*t = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 0.64, -10, 0 in decreasing order.\nAnswer: 0.64, 0.2, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 37 (b) -604 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by 44.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(0 + 2 - 1) + 1 + 2 + 0)*(2 + c**3 - 2) + (-7*c**2 + 12*c - 12*c)*(-5*c + 3*c + 3*c) - 3*c**3 + 0*c**3 + 6*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -634 + 688. Let w = a - 3. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*q - 16 = 0, -3*q - 2*q = 4*g - 6. Suppose -1178 + 1158 = 2*v, 4*v + 202 = 2*t. Sort -1, g, t in increasing order.\nAnswer: -1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6094*q**2 + 18271*q**2 - 6088*q**2 - 6091*q**2. Let n(x) = x**2 - 399. Give w(n(s)).\nAnswer: -2*s**4 + 1596*s**2 - 318402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 4*x + 5*m + 44 + 128, 6*x - x + 475 = 4*x - 16*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1743*g + 749*g**5 - 18*g**2 + 23*g**2 - 1748*g wrt g.\nAnswer: 44940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81, -160, -241, -324, -409, -496, -585?\n\"Answer: -z**2 - 76*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587513 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 + 2*b**2 + 1283215*b - 2902304.\nAnswer: -4*b**3 + 4*b + 1283215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.2 (c) 0.5 (d) 25 (e) 8\/7 (f) -1\/11 (g) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5903*i**4 - 24633*i?\nAnswer: -70836*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 368183793 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 7*j**2 + 0*j + 1\/120*j**5 - 1\/24*j**3 + 0*j**6 - 1\/840*j**7 + 0*j**4 + 0. Find u, given that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3\/3 + 16634645*d**2\/3 + 16634710*d\/3 - 66538600 = 0. What is d?\nAnswer: -4, 3, 3326930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 74 - ((-66)\/55)\/((-3)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1577, -5, -143.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.728 take away -1.3608932654?\nAnswer: -45.3671067346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6048758*-5\nAnswer: 30243790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (73 + -33 - 118)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99221)\/634)\/313*-11*(-1)\/(-4)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*w - 27, -48*s - w - 3 = -50*s. Let d(m) be the first derivative of m**4\/4 - 5*m**3\/3 - m**2\/2 + 5*m + 2. What is d(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/2*(-156)\/9. Round b to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 14 - 26 = 0. Which is the second smallest value? (a) o (b) 0.34 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000087894719 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/10 + 179*h**5\/10 + 71*h**4\/4 - h**2\/2 + 3135*h. Find the third derivative of o(t) wrt t.\nAnswer: -72*t + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 2\/6 + (-4)\/12. Let y be 2*(-1)\/(-5)*5. Suppose 0 = -y*j - s*z + 48, -5*j + z + 120 = 3*z. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24795 + 23239. List the prime factors of p.\nAnswer: 2, 7, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2501 - -2489.03. Let h = k - -11.97000703. What is h rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 14*a + 6*a - 23*a)*(-a - 9*a + 3*a + (2 - 3 + 2)*(-5*a + 2*a + 2*a) + (-3 - 4 + 4)*(-3*a + 1 - 1)) in the form v + p*a**2 + w*a and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = -65*h - 602 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1740275.936 and 36.\nAnswer: -1740239.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -27*b + 33*b. Suppose 9*x - b*x = 0. Solve 3*p + x*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.683 and -720.2.\nAnswer: -722.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2397158, -2397163, -2397180, -2397215, -2397274?\n\"Answer: -a**3 + 2*a - 2397159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + 31*t + 10. Let h be w(6). Suppose -2*l = -l + 22. Is (-964)\/l + h\/88 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13)*(4 + (-810)\/144)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303 - 3331\/11. Let j = -0.00761 + 11.00761. What is the nearest to 0.1 in c, 1, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 0.5, -0.3, 83, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 51?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*h**4 + h**5 - 228*h**2 + 2*h**3 - 19*h**2 - 229*h**2 - 1 + h wrt h.\nAnswer: 60*h**2 + 720*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*w - 0*w - 15175, -4*p - w = -12143. Suppose 14*k - 2*k = p. Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547266583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 7*p - 2. Let r(m) = -12*m**2 + m + 7. Determine 5*d(z) + r(z).\nAnswer: -7*z**2 - 34*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -33. Let f(i) = i + 3. Let q(a) = -1. What is c*q(m) - 2*f(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let g = 16 - x. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1994 + -1994.3443. Round h to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let o be (-4)\/8 - (-2240002)\/z. Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwoovow. What is prob of sequence vo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21825248713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5142684002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.22 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-54 - -84) + 16?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138701 = 61*i + 133272 for i.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:59 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -32*x - 62. What is k(-12)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:19 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.9122 decades in millennia?\nAnswer: 3.329122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34274 divided by -17137?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.6 - 88.7. Let m = n - -33. What is the third smallest value in -4, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417*o**3 - 2*o**2 + 348*o**3 + 535 - 280 - 266 to the form k*o**2 + i*o + l + u*o**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 617*t - 2481. Let f be i(-4). Solve -3*r = 2*z + f, -5*r + 33*z - 32*z - 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*v + 18519 = -6*v - 10785. Calculate the remainder when v is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b98a + 19?\nAnswer: 1b9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/7)*l*l*l**(-9)*l\/((l\/l**(-11))\/l)*l**(-1\/15))**18 assuming l is positive.\nAnswer: l**(-11112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/((-444)\/(-240)) - -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 1 + 2*w**2 - 7*w + 3*w**2 + 0*w**3. Let f be (-2)\/(-6) + (-76)\/12. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*s - 20, -5*s = -2*s - 2*t - 16. Suppose 0 = -5*q - s*d + 3*d + 505, 4*d = 0. Let u = q - 17. Calculate the highest common divisor of 28 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(((-137475)\/(-188))\/(-65))\/(1\/4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(6)\/sqrt(2)*6.\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 33, 2\/17, 8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87*((-1175)\/(-47))\/725. Factor 141\/4*c**2 - 11\/2*c**t + 25 - 55*c + 1\/4*c**4.\nAnswer: (c - 10)**2*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - i\/3 + 56\/3.\nAnswer: -(i - 7)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 2, -3\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/76)\/(((-1)\/(-3))\/((-12)\/(-5)))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 9*c + 12. Let z be 8 + -5 + -2 + c. Solve 25 = -z*n + 3*q - 8*q, 4*n = 2*q - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -918 (c) 6 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - b?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34353?\nAnswer: 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1154 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 67 + 97 = 0. Solve 0*y + z*y + 11 = -l, 0 = -2*y - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 970, 2, -5 in ascending order.\nAnswer: -5, 2, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 14\/3*y**2 - 26\/3*y.\nAnswer: 2*(y - 1)*(7*y - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 38, 49, 60?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.15940425 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 - 297*l + 27. Determine g(-50).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 597 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h**2 - 19*h - 26. Determine s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6434230.9 rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3291*c - 16 - 1657*c + 0 - 1658*c. Let d(b) = b. Determine d(g(o)).\nAnswer: -24*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 4. Let m be 52\/8 - (-3)\/(-2). Let j(z) = 4*z + 2. Determine m*j(b) - 3*p(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1 - -3) + (-11 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4 + 2. Suppose -3*j = -28 - 26. Suppose -l - j = -p*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -46. Let f(p) = 18*p - 138. Let s(r) = -6*a(r) + 2*f(r). Let c(g) = 156*g**2. Give c(s(o)).\nAnswer: 202176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/81*(-40)\/144*2\/10.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:10 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 4506005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4693, 9381, 14067, 18751, 23433, 28113, 32791?\nAnswer: 37467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*j - 441, -4*r + 624 - 14 = j. What is the greatest common factor of r and 8909?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 68. Is 20\/11 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21)\/((a\/(a\/(a\/(a*a**5))))\/a))\/(a**(-1\/5)\/(a*a**4)) assuming a is positive.\nAnswer: a**(1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*a**3 - 20*a**3 - 48*a**3.\nAnswer: -142*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-624)*-12*(-116)\/(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -57*o + 324. Calculate the smallest common multiple of 171 and o.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*f + 4, -3*f = -x - 15 + 4. Put x, 6, 3, -5 in ascending order.\nAnswer: -5, x, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 304*f - 7580. Determine a(56).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 21.\nAnswer: -8, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -8*v. Suppose l - 6*l = -3*f - 15, v = 5*l - 15. Solve -3*j = -4*r - 14, f*j + 2 = 2*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 + -398 + 5\/2.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 7*n**3 + 7*n**3 + 15*n**3 - 20*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 28*g + 2. Let o(i) = i**3 - 3*i**2 - 14*i - 19. Let d be o(6). Let q(f) = -d*f**2 + 11*f**2 - 3*f**2 - 2*f**2 - 5*f**2. Calculate q(c(m)).\nAnswer: -3136*m**2 - 448*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 + 12*l + 44. Calculate t(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 + 8*c**2 - 4*c + 4. Let y(n) = -17*n**3 + 23*n**2 - 11*n + 11. Calculate 4*y(g) - 11*z(g).\nAnswer: -2*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*r**3 + 336*a**2*r**2 - 4*a*r**2 - 22*a - r**3 wrt a.\nAnswer: -2*r**3 + 672*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2. Let c(n) = n. Let u be c(3). Let d(z) = 6*z**2 - u*z**2 + 0*z**2. Calculate b(d(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 23*u**4\/24 + 4*u**3\/3 - 6*u**2. Let o be x(-2). Let i = 40 + o. Solve 0*a = -i*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, l: 4, y: 4}. Give prob of picking 1 i and 3 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((1 - -7 - 13) + -37) - 1\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71\/2 + 36. Let m(s) be the first derivative of 0*s**4 + 0*s + h*s**2 - 3\/5*s**5 - 2 + 0*s**3. Find the second derivative of m(p) wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 570 + -189. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let q = 8 + -4. What is the remainder when ((-40)\/(-25))\/(q\/10) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235576 and 72?\nAnswer: 2120184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 961173310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = -18. Let j = c + 77. Suppose 2*a - 22 - 58 = -4*q, -j = -2*a - 5*q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 58.69219 nanograms?\nAnswer: 0.00000005869219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 8*l - 424. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -536 - 51150?\nAnswer: -52016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874534 is divided by 973.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9142573, 9142571, 9142569, 9142567?\nAnswer: 9142565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9108 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31 in 2\/3, -8\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -39*(-6)\/(-18)) + 1794\/(-208).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47311)\/86955 + (-2)\/(-186)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**29\/((s\/s**(-4)*s)\/s*s**4))**29 assuming s is positive.\nAnswer: s**(-1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggg when four letters picked without replacement from {j: 5, g: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-147)\/2)\/((-3)\/6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 593 + -237. List the prime factors of g.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45996 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 31 - 28 = -50 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 163*q**2 + 135*q - 3582. Calculate the remainder when x(-164) is divided by 383.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7189*p**2 + 13594*p**2 - 6406*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from pckzkcep?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 3, -310507, -2\/7 in descending order.\nAnswer: 3, 0.17, -2\/7, -310507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-30))\/(((8\/(-393))\/8)\/((-1)\/(-6)))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5317906 millilitres to litres.\nAnswer: 0.0005317906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (17 + -20 - (4 - (4 - -6))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 + 17*i**4\/24 + 71*i**3\/6 + i**2 + 4*i. What is the smallest common multiple of a(-6) and 30\/6 + -3 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46268, 46267, 46266, 46265?\nAnswer: 46264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17104 divided by 5\nAnswer: 17104\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 5, v: 4, s: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6 = -14. Let t = 9 + f. Let o = 498 - 423. Calculate the remainder when o is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*27\/9*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/15 - 224*v**4\/3 + 100352*v**3\/3 - 299*v**2 - 4*v. Determine j, given that y(j) = 0.\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122210232222 (base 4) to base 9\nAnswer: -14086726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 + r**4\/6 - r**3\/6 + r**2 + r. Determine k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -67*f**3 + 25*f**2 - 111*f - 135. What is n(-1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 3913770*a - 31310480 = 0 for a.\nAnswer: -8, 782762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-21)\/(-56)*(-16)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 1:46 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 1131.4312.\nAnswer: 1131.3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:37 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -9 in ascending order.\nAnswer: -12, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636422313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -624893, -2499522, -5623871, -9997934, -15621705, -22495178, -30618347, -39991206?\n\"Answer: s**3 - 624866*s**2 - 38*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 589 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 8. What is the second biggest value in -1, 3, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27397595 is divided by 1665.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(4*b + 0 + 0 + (-b + 2*b + 0*b)*(-1 + 0 + 0) - 4*b + 0*b + 2*b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 4.1, 5\/3, -11\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:04 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*g**2 - 97402*g**4 - 62*g**3 - 32*g**3 - 179*g**2 + 97398*g**4 wrt g.\nAnswer: -96*g - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13373247*i**4 - 4047442 with respect to i.\nAnswer: -53492988*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 - 6*f**4 - 4*f**3.\nAnswer: -2*f**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**4 + m**3. Let j(d) = -5*d**4 - 2*d**3 + 3. Let s(t) = j(t) + 2*v(t). Differentiate s(i) with respect to i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 7 = -191 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7561295*z**5 - 3*z**4 - 230040892*z wrt z.\nAnswer: 151225900*z**3 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 6. Suppose n + 2 = b - 5*b, 3*n - 3*b = 9. Suppose -t + n*p - 3 = 0, 3*t - 3*p = -0*t + 6. List the prime factors of g(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 22 - 21 - 5*f**2 as g*f**2 + w*f + l and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from znnnzzmdkzdnnhn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 79\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**12\/(p**(-4\/21))**(-41\/3) assuming p is positive.\nAnswer: p**(2860\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**3 + 0*b + 0 + 14*b**2 - 1\/12*b**4. Let y(s) = -23*s. Determine x(y(r)).\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -a9?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5424 divided by -2?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*i**5 + 6682*i**4 + 11*i**3 + 7677*i**2 + 456*i + 2.\nAnswer: -4680*i**2 + 160368*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6766385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 7*i + 3*i**2 + (-4*i**2 - 3*i**2 + 5*i**2)*(-4 + 1 + 2) + 2*i**2 + 2*i**2 - 2*i**2)*(5 + 0 + 1)*(15 - 12 + 5).\nAnswer: 336*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3934, -3934, -3942, -3964, -4006, -4074?\n\"Answer: -j**3 + 2*j**2 + j - 3936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = 0, -4*y - 100 = -t - 4*t. Solve 4*n = 2*g + t, 0 = -3*n + 5*g + 5 + 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11021 (base 3) to base 16\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-16)\/56. Suppose c = -0*y - 3*y + 9. Solve 2*j = y*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 1 + 1)*(37 + 37*l - 37) + l**3 + 3*l - 3*l.\nAnswer: 75*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**0*s))\/s)**(-32)\/(((s**(-6)*s)\/s)\/s*s\/(s*s\/(s\/(s\/(s\/(s*s**0*s))))*s*s*s)))\/(((s\/s**(1\/3))\/s)**(3\/31))**(-12) assuming s is positive.\nAnswer: s**(2344\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2078693 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30033208 + 24*d + 30033208.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 27 = 3*m. Factor -8\/5*i - 8\/5 - 2\/5*i**m.\nAnswer: -2*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1\/5, -4, 11690?\nAnswer: 11690","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Calculate the remainder when 64 is divided by (-66)\/l*8\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.9 (b) 2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4149 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.4. Let l(r) = -r**2 + 7*r + 4. Let f be l(0). Let q be f\/24*4 - (-3)\/(-6). Which is the third smallest value? (a) -4 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:59 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u - 10. Let w be v(0). What is the common denominator of -145\/408 and w\/(-12)*(-611)\/(-65)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1335639, -5342530, -12020675, -21370068, -33390703, -48082574?\n\"Answer: h**3 - 1335633*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2))\/((-3)\/(-6)). Suppose -3 = -3*r - 2*q, 6*q - z*q + 18 = 4*r. Suppose -r*h - 9 = -39. Solve 0*p + 2*p = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*i + 2 - 2 + 183*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1205085 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2918 - 2916. Sort 12.4, -2\/5, -1, 0.2, x in ascending order.\nAnswer: -1, -2\/5, 0.2, x, 12.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 + -228.4. Let h = f + 16.4. Let u = -6 + 2. Which is the third smallest value? (a) h (b) u (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(252))**2 + sqrt(252) - (2 + sqrt(252)*-5 - sqrt(252)) - -5*((3 + 1*sqrt(252))**2 + (-1*sqrt(252)*1)**2).\nAnswer: 222*sqrt(7) + 2811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/21*70\/20. Suppose -24*s + t*s = 2*w, -3 = 3*s. Solve 7*v - 5*v = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 3*v - 29. Determine w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -14. Let u(b) = -9*b**2 - 9*b - 20. Let q(t) = 4*t**2 + 5*t + 10. Let k(i) = 7*q(i) + 3*u(i). Let l be k(g). Let d(n) = n - 2. Determine d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*u + 2. Let l = 12 - 7. Let v be (-2)\/l + (-2)\/(-30). Which is the closest to u? (a) v (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 2*c + 8, -5*s = 3*c - 10. Let u(v) = -12 - v**2 + 15 - v**3 - 2*v - 4*v**s. What is u(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/(-1273) + 243\/285)\/((-92)\/5).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3531426*f*l + 2*f - 4*l + 3012148 wrt f?\nAnswer: 3531426*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*z**3 + 82*z**2 - 41500*z.\nAnswer: 1356*z + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -3*g**8\/280 - g**6\/120 - 2*g**3 + 13*g. Let b(y) be the second derivative of i(y). Find the third derivative of b(q) wrt q.\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*h = 202*h + 72. Solve 0 = -19*y + h*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1364 - -637. Find the first derivative of -2078 + 29*u**2 - 4*u**2 + a wrt u.\nAnswer: 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -145. Let t(a) = 20*a + 28*a - x*a. Let z(g) = 5*g**2 + 6. Let r(p) = 6*p**2 + 7. Let h(l) = 6*r(l) - 7*z(l). Calculate t(h(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -409?\nAnswer: 3\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j = -135*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-4)\/3. Suppose -i*p = 3*n + 2*p - 6, 2*n - 4*p - 4 = 0. Suppose -n = -r - 0. Solve -5*u - r = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-24) - ((-2)\/(-2) - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960.86 days in minutes?\nAnswer: 12903638.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -36*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/(-105)*168\/(-96).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 2*h**3 + (5 + 2 + 11)*(-4 - 2 + 0 - 1 + 2 + 0 + (2 - 2 - 2)*(-5 + 2 + 2))*(-3 + 3 - 1)*(3 + 4 - 4)*(-2*h**3 + 0 + 0).\nAnswer: -322*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:42 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2431744 by -1652.\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1211)\/(-36676)*(-8)\/(-14)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -9*v + 12*v, -4*v = -5*y - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 9, o: 5, c: 2}. What is prob of picking 3 u?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsoasttuuagss. Give prob of sequence atua.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 26303959.5 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6353\/7 - 907. What is the nearest to 2 in -2, -5, s, -0.08?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -3523.318\nAnswer: -352.3318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 9) in base 3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -704570?\nAnswer: -704577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -40. What is the second derivative of 6*h**2 - 16*h - c*h**2 + 9*h**2 wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 13*i - 14. Let k(w) = -w**2 - 4*w - 1. Let m be k(-4). Let r be (-261)\/116*(-8)\/(m + -1). Calculate the remainder when 43 is divided by t(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-5\/4) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/12 + (-4)\/(-16). List the prime factors of 1 - ((-195)\/5 - w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-12)*12\/(-16)*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c - 6. Let l(m) = -14*m + 5. Let g(p) = p**3 + 30*p**2 + 3*p + 85. Let t be g(-30). Give t*l(h) - 4*v(h).\nAnswer: 14*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*x - 77*x - 242 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*u - 83*u = 5*i - 129, 8*u = -2*i - 246 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let h = i + -1. Suppose 0*j = -j - 4*b - 3, j = -h*b - 1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232)\/102 - (-305)\/(-5185)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n - 4. Let l be 20\/3 - 1\/(-3). Let g be u(l). Suppose -2*h - h + 32 = i, g*i - 6 = 0. Solve -5*q = 5*c + 3 + 22, 2*c = 3*q + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31009*q + 60 = -31004*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 1. Suppose 2 - 23 = -5*q + 2*i, -4*q = -5*i - 10. Let v be f(q). Let x = 9 + v. What is the greatest common factor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/378 - 16*s**7\/315 + 41*s**6\/540 + 7*s**5\/54 - 7*s**4\/36 - 11*s**3\/27 - 2*s**2 + 31*s. Solve r(g) = 0 for g.\nAnswer: -1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*-2 + -1*sqrt(84)*2)\/(5*sqrt(60)\/(sqrt(5) + (sqrt(5) - 1*sqrt(5)))*-5).\nAnswer: -2*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2952 + 10417*s**2 - 5896 + 2945 + 602*s - 88*s wrt s?\nAnswer: 20834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 84 = -a. Let z = -11 + a. Let j = z - -499\/7. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 922 + -923. Suppose -n - 25 = -6*n. Sort l, n, -5 in increasing order.\nAnswer: -5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77500457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -9934102\nAnswer: 3\/9934102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*5.06.\nAnswer: -8.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254035275*a*v**2 - 565385*a*v - a + v + 50 wrt v?\nAnswer: 508070550*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/(12\/(-180))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -2*r + 2*a, -r - 160 = -2*r - 3*r + 5*a - 3*a for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*s + c, 44*s - 47*s = -3*c - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 14) to base 13\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 = 21*g + 938 - 295 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 b, and 1 l when three letters picked without replacement from {l: 8, x: 1, b: 2, q: 2}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*w - 4*s + 10, -3*s - 29 = -4*w. Solve w*y = -4*n - 14, 6*y = 7*y - 5*n - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = -2*a + 5*o, -5*a - o + 39 = 0. Sort -5, -3, -1, a in descending order.\nAnswer: a, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + f**2 - f**2)*((2*f - 4*f + 3*f)*(4 - 6 + 0) - 13*f - 2*f + 3*f) to the form h*f**2 + y*f**3 + v*f + c and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 377388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -246, -295, -342, -387?\n\"Answer: d**2 - 54*d - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**2\/2 - 2*c - 4. Let k be g(-9). Suppose 2*m + k = z, 11 = -z - 3*z - 5*m. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 4*w**2 + w + 8. Determine v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-536*b + 601*b - 357*b)*(2 + b**4 - 4 + 3*b**4).\nAnswer: -1168*b**5 + 584*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 728603699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27186593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:12 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = -0. Let r be (-15)\/(-1) + -2 + 1. What is the tens digit of 2\/(-4)*h*r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -387329914 divided by -35062?\nAnswer: 11047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2890594089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1021992 and 62\/30291.\nAnswer: 23505816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {l: 14, t: 1, p: 2, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -8. Let o = -83.85465 + 76.855. Let p = l - o. Round p to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + m - 3. Let s be p(-2). What is the highest common factor of 121 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 - 508*o**2 + 42944*o - 1208064 = 0.\nAnswer: 78, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 23*u - 21 + 219 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Let b(c) be the first derivative of -c**3\/3 + 1. Let x be 2343\/142*2\/3. Let h(t) = -4*t**2. Let r(a) = x*b(a) - 2*h(a). Calculate q(r(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1076, 2163, 3226, 4259, 5256, 6211?\n\"Answer: -c**3 - 6*c**2 + 1112*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 55980813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4042108292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 532 = -3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 + g**3 + 63*g**3 + 155*g**3.\nAnswer: 201*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:53 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + 1235\/78 + (-5)\/(-12). Which is the second biggest value? (a) -2 (b) k (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.33 + -44. Let s = -682 + 681.6706. Let g = k + s. What is g rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)\/(11\/297). Suppose -r = j - 158. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*f + y, -13*f = -8*f - 2*y - 39. What are the prime factors of ((-168)\/(-32) - f)\/((-1)\/280)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-17) + 1032\/102. Solve -2*z - w = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15812, -15743, -15660, -15575, -15500?\nAnswer: -15447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d**3 + 5. Let g(a) = -43*a**3 - 7. Calculate -5*g(n) - 7*i(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8 - 8\/(-32). Suppose 5*z = -25, x + 12 = -s*z - 3. Let h(t) = -2*t + x*t + 0*t. Let o(y) = 10*y. Calculate o(h(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79, 97, 135, 199, 295, 429, 607, 835?\n\"Answer: w**3 + 4*w**2 - w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -12. What are the prime factors of 17\/2*4 + d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 654*u**2 - 162*u + 105. Let g(d) = -d**2 + d - 7. Let h(b) = 15*g(b) + j(b). Find the second derivative of h(c) wrt c.\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140141 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*m = 90665 - 85313 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -0.3, -2\/9, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 569*a**3\/6 - 21*a**2 - 31*a. Let l be p(18). Round l to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 2. Determine s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-47))\/((-7)\/(-91)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, r: 2}. What is prob of picking 3 f and 1 r?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 2, v: 3, z: 6, x: 3}. What is prob of sequence vzj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2 - 2 - 4*s + 2*s. Suppose 0*i - 16 = -2*i. Let x = i - 13. Let a(g) = 3*g. Calculate x*o(z) - 4*a(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 11274600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7526 divided by -9\nAnswer: -7526\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2658 - 722 - 1202 - 1312)*(-2*c - 2*c + 2*c) to the form s*c + g and give s.\nAnswer: 11788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00213995339 rounded to six dps?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 2*v**3 - 6*v**3 - 13*v**3.\nAnswer: -21*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 5, k: 8}. What is prob of picking 1 f and 1 s?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27369*r**2*t**3 + 8*r**2*t**2 + 3*r*t**3 + 5*r*t - 5*r + 51*t**3 + 3*t**2 wrt r?\nAnswer: -54738*t**3 + 16*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*z = -336. Suppose 57*s - z*s = 135. Let t be -135*(-1 + 0 - 0). What is the greatest common divisor of s and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (459\/2)\/((-56)\/(-112)). What is the greatest common factor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00429862515 to 6 decimal places.\nAnswer: -0.004299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3)\/((-60)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2368885cm to meters.\nAnswer: 0.002368885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/62928 and -5\/22623?\nAnswer: 474540048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1401100 (base 5) to base 11.\nAnswer: -1a275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1042011023 (base 5) to base 15.\nAnswer: -305bad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190 or 19?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 703, 1244, 1895, 2662, 3551, 4568?\nAnswer: 5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/4 + f**4\/12 - 23*f**3\/12 - 25*f**2\/12 + 2*f\/3 + 1 = 0. Calculate f.\nAnswer: -2, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12786984 is divided by 6393453?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/5 + 1473*m**3\/5 + 1479*m**2\/5 - 7373*m\/5 + 4422\/5 = 0.\nAnswer: -3, 1, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfkkkffk. Give prob of sequence fc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55607910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*t, 4*q - 3*t = -t + 66. Suppose 2*s = -4*n + q, 3*n - 3*s - 45 = -2*n. Solve n*z + 3*f = z - 5, -3*f = -3*z + 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + q = 168, 696 = 4*u + 2297*q - 2296*q. Let k be 14 + 1 - (-3 - -2). Calculate the greatest common factor of u and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 538682 + 3?\nAnswer: 538685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 60*w - 19. Suppose 0 = -2*j + 4*v + 16, 2*j - 4*v - 6 = -5*v. List the prime factors of i(j).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1974\/(-658)*2\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5944134 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 549631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2\/2 - 9*k - 5. Let l be x(-11). Suppose 0*n = l*n - 8. Solve 8 = -3*z + 2*y, n*y = 2*z + 3*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3596 - -430. Let b be (-5625)\/(-27)*(2 - r). Round b to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2 - 5*t + t)*(67*t - 15*t - 200*t) in the form j*t + h*t**2 + i and give h.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Suppose 5*t = -15 + 15. What is the closest to 2\/3 in q, t, -2\/27?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1976 and 87\/572?\nAnswer: 21736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 47. Suppose b - 2*i = -i + 11, -3*i - l = -b. What is the least common multiple of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**3 + 60 - 19*u**3 - 60.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1062, -0.0163, 0.3 in decreasing order.\nAnswer: 0.3, 0.1062, -0.0163","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.21 - -0.21. Let b = w - -21. Which is greater: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*d - 174 - 18 = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 939376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 - -0.14. What is the nearest to -4 in -0.2, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*w - 69*w - 52*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 2. Let f be s(-5). Let m be (-4)\/((-108)\/(-21))*18\/63. Let h(x) = x**2 - 6*x + 1. Let c be h(6). What is the smallest value in m, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-5 - -2 - -6). Let l = 12 - s. Suppose -c + 13 = -b, -2*c - l*b - 9 = -0*c. What is the smallest common multiple of c and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(-1 + 153\/2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c**4 - 103*c**3 + 6*c**2 + 305500*c.\nAnswer: 108*c**2 - 618*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1475 - 821. Let b = z + -465. Let c = -2833\/15 + b. Put 2, c, -2\/11 in decreasing order.\nAnswer: 2, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4844600 to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 1\/30*o**3 + 0*o + 2*o**2 - 3\/50*o**6 + 11\/120*o**4 + 2\/25*o**5 + 0. Factor d(r).\nAnswer: -(r - 1)*(6*r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14407 + 14484 = 7*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -5518, 2.\nAnswer: -5518, -91, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r**4 - 2*r + (-14*r**2 + 16*r**2 - 12*r**2)*(-36835*r + 230*r**2 + 102*r**2 + 36834*r).\nAnswer: -3322*r**4 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24515 (base 12) in base 6?\nAnswer: -1015225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11996)\/18 + (-6 - 174\/(-27)). Let n = 611 + r. What is the closest to n in -0.1, 0.5, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3753 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*b - 31*b - 459 - 1004 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7249, -143, 1 in decreasing order.\nAnswer: 7249, 1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 2, z: 8, i: 2}. Give prob of sequence ih.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 124 + 2*l**2 + 107 - 215 - 2*l - 2*l**2 + l**2. Calculate y(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 190*y = 24*y - 7587 - 1917 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 + 16.75. Let g = -19 + y. Which is the third smallest value? (a) g (b) -5\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -29?\nAnswer: -123\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -615300 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/(1 + -4). Find the common denominator of m + (-188)\/12 + -4 and -34\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 < 372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34615253 - -10?\nAnswer: 34615263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132959?\nAnswer: 31, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289307207 and 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1149991745 divided by 4.\nAnswer: 1149991745\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63541 + 156793. Suppose 0 = -5*w + 41748 + z. Round w to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 + u + 2. Let v be k(-4). What is the units digit of v - 0 - (-16 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - z**2 - 46*z**2 - 3*z**2 + 18*z**2 + 28*z**2 - z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**4 - 7*f**3 - 2*f**2 - 168*f + 6159068?\nAnswer: -12*f**3 - 21*f**2 - 4*f - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -19. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z - 6. Let g be (12\/8)\/((-3)\/(-8)). Let r be f(g). Let x = 9 - 3. Solve 0 = b + r*b + x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10. Let u(z) = z**2 - z + 18. What is the tens digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/9)\/(4\/(-23184060)*1). Suppose 4*f + 12005 = a. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827137?\nAnswer: 787, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 200 = c. Let j = 168 - 103. Let y = j - c. Calculate the highest common factor of y and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.012 - -0.288. Which is the nearest to 0.1? (a) x (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10)**27 assuming r is positive.\nAnswer: r**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.35 + -3.65. Sort -1, b, -4, -12 in increasing order.\nAnswer: -12, b, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.126.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s**(4\/9)*s))\/s)\/(s\/(s**(2\/15)*s)))\/(s**(-2\/7))**32)**(7\/4) assuming s is positive.\nAnswer: s**(1391\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28762782 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, p: 13, o: 2}. What is prob of sequence ot?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 1.4. Let x = 7 - 5.8. Let n = -0.7 + x. Put i, -0.1, n in decreasing order.\nAnswer: n, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248075054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 12*m - 5. Suppose 0 = 6*c + 74 - 8. Calculate x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 529249 and 45521.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llp when three letters picked without replacement from pllllp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 48068?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*t**2 - t + 482 wrt t?\nAnswer: -24*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 11*y + 12. Let i(q) = -q**2 - 4*q - 5. Let p be i(-5). Let o be (648\/p)\/6 + (-4)\/(-5). Give b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.02, -2\/5, 5, -0.045, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 69*l**2 - 3*l - 1. Let k be n(2). Let q be k\/(-90) + (-42)\/(-14). Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 4 - 365*l**2 - l**3 + 373*l**2 + l. What is the units digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3406900 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 2*n - 5*i + i, 4*i + 268 = -3*n. Let m = 0 - n. Suppose -m = -p + 99. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 23. Let y be i + 1841 - (-11)\/((-11)\/2). What is y rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 549*h**3 - 75212*h**2 - 142*h + 675. Determine k(137).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n)\/n)\/n**(4\/11) assuming n is positive.\nAnswer: n**(-67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*t - 180*t = -54 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 44*n**3 - 1960*n**2 - 8*n. Let k(a) = -14*a**3 + 653*a**2 + 3*a. Let j(c) = 8*k(c) + 3*x(c). Find the third derivative of j(v) wrt v.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 + a685?\nAnswer: a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, k: 3, f: 5, t: 4}. Give prob of picking 1 k and 2 f.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112101*h + 18 = -112100*h + 4*v, -3*h + 14 = -8*v for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - 0) + (23 + -11 - 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3068828158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -0.9, 3, 2, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -0.09.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14713\/22074 + -1\/7358. Let t(q) = -q**3 + 5*q**2 + q + 6. Let b be t(5). What is the closest to 1 in b, 2\/21, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose -o*j + 6*j = 0. Suppose -d + 1 = 0, -5*y - 3*d + 4 + 9 = j. Solve y*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2706103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+-1.285\nAnswer: -1.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 159 + 159. Let i = g + -1110\/7. What is the third biggest value in -1, 8, -2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - u)*(8 + 0 + 3)*(0 + u + 0).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/3 + 196*x**2\/3 + 244*x + 180.\nAnswer: 4*(x + 1)*(x + 3)*(x + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56\/101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2841 = 4*o + 1933, -4*o - 5*r + 872 = 0. What is the remainder when 857 is divided by o?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - (24 - 11)) - (22 - 5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c + c)*(3*c**2 + 0*c**2 - 4*c**2) + (2 + 2 - 5)*(43*c**3 - 157*c**3 - 136*c**3).\nAnswer: 245*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kka when three letters picked without replacement from kaakkkkakkaakk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - 4 - 25 - -36.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*c - 64*c + 6*c**4 + 5*c**4 wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30104 + 7?\nAnswer: 30112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45990 + -45988. Let a(l) = 17*l + 11. Let p(g) = -9*g - 6. Let s(w) = -6*a(w) - 11*p(w). Calculate s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 18*j**2 + 2*j + 13. What are the prime factors of m(8)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, x: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -33. Suppose p*d - 63 = -27. Calculate the smallest common multiple of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1784*c**3.\nAnswer: 1784*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-30 + 73) - -11.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 33. Let m = 6 - 6.3. Which is the second biggest value? (a) z (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/18 and -119\/2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 0*t + 2\/15*t**3 + 84 - 16\/5*t**2. Factor y(j).\nAnswer: 2*j*(j - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = b - 12 - 8, -2*b = -5*u - 100. What are the prime factors of 336\/(-420) + 14\/u*-1334?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + b - 1. Let f be u(1). Let q be f\/(-6) - (-2)\/4. Let h = -159\/154 - -17\/14. Is h at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 200, 0.12 in ascending order.\nAnswer: 0.12, 116, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q - q - 11*q)*(7*q + 2*q - 5*q)*(-5 + 1 + 6 + 1 + 2 - 6 + (1 + 3 - 2)*(1 - 4 + 2) - 3 + 2 + 3).\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 228 = o. Let u be (-11)\/((-242)\/o) - (-2)\/(-11). Suppose -48 = -r - u*r. Which is smaller: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 508 - -8. List the prime factors of m.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1159616\/5 + 231928. What is u in 9\/5*u**4 + 1\/5*u**5 - a*u - 16\/5 + 7\/5*u**2 + 23\/5*u**3 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.39 - -0.43. Let i = -0.036 + x. Let k = i + 1.996. Which is the nearest to -0.1? (a) -3 (b) k (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6745 (base 8) to base 3.\nAnswer: 11212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 544, 606, 704, 832, 984, 1154?\n\"Answer: -d**3 + 24*d**2 - 3*d + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**4\/4 + b**3\/3 - b**2\/2 + 2*b + 2. Let x be n(-2). Calculate the highest common divisor of 40 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + -0.045.\nAnswer: -1.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2*o - 3*l + 12 = -2*l, 20*l - 105 = -3*o - 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 51*x**2 - 62*x + 542. Determine c(50).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + 4. Let t be a(0). Suppose 3*h = h - t. Let w be (0 - (h - -3)) + -49. Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -1.9, 3\/5.\nAnswer: -1.9, -0.1, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 + 718*t**2 - 128881*t = 0?\nAnswer: 0, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**2\/2 + l + 1. Let f(g) = -g - 4. Let a(c) = f(c) + 3*y(c). Differentiate a(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2. Let n be j(1). Let a be 3*(1 - 0) + -3. Let v = n + a. Solve v*p - 2 = 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**2 - x**3 + 0 - 1\/12*x**4 + 0*x - 1\/30*x**5. What is o(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010314 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/295, 1.49?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 4*w**2 + 4*w. Let v be q(3). Let t(u) be the first derivative of u**4\/4 - u**3 + 3*u**2\/2 + 30. Calculate t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 24, 2, -15.1, 1\/11, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001111100100010001 (base 2) in base 5?\nAnswer: 204201233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -23. Let a(n) = 14*n + 15. Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.29, 0.1, 5, 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/(-9))\/((-2)\/6719) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1109075, -2218175, -3327275, -4436375, -5545475?\nAnswer: -6654575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 1\/3 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 10714?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 2*r + 4 - 1 + 3*r. Give p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 4*b - 19. Let c be m(-7). Suppose 0*g - g - 2*l + 165092 = 0, 0 = c*l + 8. What is g rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 951. Let j(b) = -3*b - 19. What is q(j(p))?\nAnswer: -12*p - 1027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208088309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1538 - 1537. Which is smaller: 2\/16761 or o?\nAnswer: 2\/16761","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3915 and 511299.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 0*t + 3*t + (2*t - t + 0*t)*(754 - 869 - 1202) in the form c*t + d and give c.\nAnswer: -1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-30)*-11 - (-13)\/(-26). What is the nearest to 0 in 0, y, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((59\/(-1062))\/(13\/(-4)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 1 + 1)*(2 - 4 + 4 + (5 - 1 - 3)*(1 - 4 + 1) + 3 - 6 - 1) in the form h*b + s and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102460638 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 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: Is 55018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 + 356. Let x = 6 - o. What is the second smallest value in -5\/2, x, 73?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -4*d, -1 = -p + 3*d + 6. Let k(n) = n**2 + n - 1. Let l be -4 + 2 + 0 - 1. Let c be k(l). Put p, c, 3 in increasing order.\nAnswer: p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 621 - 635. What is the second biggest value in 1, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2 + 6066*s + 18216 = 0.\nAnswer: -3, 3036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 1062 = -368. Which is greater: a or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 14 + -42 + 8 + 16?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 5, 14, 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y - 3*y + 2*y - 6. Suppose 2 = -9*z + 20. Suppose -z*d = -0*d + c - 39, -5*d = -4*c - 65. Let j(h) = 5*h - 2. What is d*j(r) - 6*p(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 5*p**2 - 2*p + 2. Let v = 85 - 82. Suppose -196 = v*f - 7*f. What is the remainder when f is divided by r(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (883*c - 473*c + 943*c)*((6 - 2 - 1)*(4 + 0 - 1) - 5 + 1 + 0) in the form b*c + i and give b.\nAnswer: 6765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:03 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5275*s - 4615636. What is u(-875)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24179*0.3\nAnswer: 7253.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -74, -173, -322, -527, -794?\n\"Answer: -d**3 - 16*d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 2371*r**4 - 4*r + 1199*r**4 + 9 + 1155*r**4 in the form a*r**2 + v*r + q*r**4 + m + k*r**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28555962 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + k - 1. Let x(c) = 3*c**2 + 2*c - 126. Give -x(m) + 2*y(m).\nAnswer: -m**2 + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1082, 2169, 3258, 4349, 5442, 6537?\nAnswer: 7634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 986 = -430. Suppose -6*i + 33 = -p. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - t - 1. Let d(i) = 9*i**2 - 4*i - 1. Let q(c) = 4*d(c) - 7*r(c). Calculate q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 318870164, 637740326, 956610488?\n\"Answer: 318870162*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 140. Let o(f) = -87*f. Give r(o(n)).\nAnswer: -174*n - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 88, 114, 140, 166?\n\"Answer: 26*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/105 + 26\/195 - ((-407)\/33 + 11).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5)\/(-9))\/((-32)\/(-8)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -810.\nAnswer: -810.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171115903 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20101?\nAnswer: 20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19*s + 6. Let i be -2*3\/1 - (-22 + 19). Let t(m) = 250*m - 80. Let n(x) = i*t(x) - 40*c(x). Determine n(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/26*-6*5504\/1032\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1466079441?\nAnswer: -1\/1466079441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 36013 + 12001 + 12008 + 12004. Let v(o) = 1. Let g(f) = 7*f + 5. Let a(z) = -g(z) + 5*v(z). Determine a(k(n)).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20959 + 20897.605. Let q = -61 - m. Round q to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -732 - -727. Let v = -8.5 - -8.7. Which is the nearest to -11\/5? (a) 3 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 - d**2)*(-2 + 1 - 1) + 0*d**2 - 3*d**2 + 4*d**2 - 9*d**2 - 7*d**2 - 16*d**2 + 2*d**2 + 1 - 12 + 8.\nAnswer: -33*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 183.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44728 >= 44708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57137 from -57.\nAnswer: 57080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -11 (c) 207512\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -28*a**2 - 3*a + 3. Let d(u) = 55*u**2 + 5*u - 5. What is -3*d(b) - 5*m(b)?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*a - 44. Suppose 0 = 5*m + v + 141, a = -2*m + 3*v - 26. What is the remainder when (5 - 4)*(-2 - m) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 10*g - 18*g = 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 348*h**3 + 3234*h**2 + 7508*h + 3927.\nAnswer: -(h - 11)*(h + 1)**2*(h + 357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -463, 0, -5, -87, -3\/4?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778.7 minus -77179?\nAnswer: 78957.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w - 4 + 4 + ((0 - 2 + 5)*(-3 + 1 + 3) + 0 - 1 - 1 - 2 + 6 + 6 - 4 + 0 + 5)*(3*w + 1 - 1).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-10))\/(15\/(-20)). Suppose z*n = 22 - 4. Let d(s) = n*s - 17*s + 12*s. Let u(l) = -2*l. Give 3*d(j) + 5*u(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5*t = 8*p - 33, -47 = -3*p + 5*t. Suppose -p*q + 16*q = 7954. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.057, 0.06, 859, -4 in ascending order.\nAnswer: -4, 0.057, 0.06, 0.2, 859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 - 6*t**2 + 326)*(-2*t**2 - 2 - 1 + 0*t**2).\nAnswer: 12*t**4 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -265659 times -16\nAnswer: 4250544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*b**4 + 6194*b**3*y**3 + 4*b**2*y**3 - 2*b**2*y**2 + 2915952*b*y**3 wrt b.\nAnswer: 9936*b + 37164*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4540508793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:32 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/5 - 4829*o**3\/5 - 253502*o**2\/5 - 1785256*o\/5 + 4623168\/5 = 0. Calculate o.\nAnswer: -4776, -44, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2235633681167 + -5\nAnswer: -2235633681172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.005822 rounded to 2 dps?\nAnswer: -8.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2615695102 to the nearest integer?\nAnswer: 51144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 29, 13, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 10*p**3\/3 - 9*p**2\/2 - 12*p - 15. Let l(s) be the first derivative of k(s). What is the derivative of l(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 7. Let l be n(-7). Let p = -11 + l. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10972025*z - 102109903 with respect to z.\nAnswer: -10972025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 17024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.5 - 20. Let q = 1.76 - a. Let l = q - 0.45. Round l to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/18 - 2\/(-9). Suppose -3*n = z + 1. Let w be n\/(-2) - 12\/(-8). Let j(d) = -7*d - 2. Give j(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/59050671 and 121\/196835570.\nAnswer: 590506710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1406826*d**2 + 1406930*d - 104.\nAnswer: -2*(d - 1)*(703413*d - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 10. Let i = u - -2. Calculate the remainder when 59 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14922 by 1658.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(8\/(-6))*125\/(-3750).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (0 - -2)*(9 - 20*201). Calculate the highest common factor of 70 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212387496 to the power of 1\/2, to the nearest integer?\nAnswer: 14574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 6*m - m - 3*m - 3 + 3 - 2*m + 4*m + 1 - 1 + (2 - 1 - 2)*(2*m - 2*m - 2*m) + (-2*m + 3*m + 0*m)*(7 + 2 - 3).\nAnswer: 12*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + (-8)\/5. Let m(k) = -k + 4. Let y be m(5). Suppose 2*c + 2*c - 12 = 0. Put j, c, y in descending order.\nAnswer: c, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -276, -1068, -2394, -4260, -6672, -9636?\n\"Answer: -l**3 - 261*l**2 - 2*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*g - 2, -3*w + 4*g + 10 = -w. Solve 3*o + 2 = w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486497 rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**3 + 4*a**2 + 88. Let n(z) = 25*z**3 - 11*z**2 - 262. Calculate 11*i(s) + 4*n(s).\nAnswer: s**3 - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/5 + 142953*y\/5 - 85770 = 0.\nAnswer: 3, 142950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 978557580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 597 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -135846 > -135801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 + i**2 - 2*i + 1. What is s(-2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/36 - 8*z**3\/27 - 2*z**2\/3 - 109. Determine s so that m(s) = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780531 is divided by 713.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l**2 + 5*l + 2. Let h(j) = -8*j**2 + 2*j + 1. Give 9*h(p) - 4*u(p).\nAnswer: -8*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Let q = z - 5.2. Let f = q + 0.1. Is f at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzlk when four letters picked without replacement from glslzkzkkz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -48, -74, -124, -210, -344, -538?\n\"Answer: -2*u**3 + 6*u**2 - 18*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2) - (-1)\/2. Put -6, k, 2 in decreasing order.\nAnswer: 2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8672 and 813?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 0.4538 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 10*n + 3*s = -58, 3*n + 2*s = 52. Solve -5*b - i - 11 - n = 0, 2*i - 11 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 339574*l - 28827625369.\nAnswer: -(l + 169787)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 1350 = -16*s - 11*s + 32*s for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-12)\/2 - -8)\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67115030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24470 + 29340 - 5*f**2 - 53810.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**9\/168 - 7*d**5\/15 - d**2. What is the third derivative of x(r) wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(10\/11)*i)\/i*i*i**25*((i*i**24*i)\/i)\/i*i**20 assuming i is positive.\nAnswer: i**(780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/11 + 24757*z**2\/11 + 99012*z\/11 = 0. Calculate z.\nAnswer: -24753, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (6 - (6 + -7 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/4 - 27*k**3\/4 + 819*k**2\/4 + 8619*k\/4.\nAnswer: -3*k*(k - 17)*(k + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50621 (base 11) in base 9?\nAnswer: 122401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -663458 to the nearest 1000.\nAnswer: -663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/189682 - 928872763\/1707138. Let c = n - -547. Calculate the common denominator of -3*(3\/(-48))\/1 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 80, 122, 164, 206?\n\"Answer: 42*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/5 - 922*b**2\/5 + 919*b\/5 + 1842\/5 = 0. What is b?\nAnswer: -1, 2, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 33*d**2 - 12*d - 15. Let l be i(16). What is the second derivative of -54*b + 87*b + 25*b**5 + 2 - l*b wrt b?\nAnswer: 500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-6*(-5)\/525*5.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 127?\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 18. Let x be 1\/(-4) + m\/644. What is the smallest value in 0, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-1\/4)\/h*h)*h*h))\/(h\/(h\/h**6))*(h\/h**(-2\/5))\/(h*h*h*(h\/h**(-2))\/h))**(-1\/42) assuming h is positive.\nAnswer: h**(79\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b)*(0 - 4 + 3)*(-135*b**4 + 56*b**4 + 202*b**4) + 0*b**3 + 0*b**3 + 2 + b**5.\nAnswer: -122*b**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*665\/(-36400) + 249\/30 + -8.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7734088 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -45753043?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 - (-7)\/6*-6 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0512, 0.3, 2 in descending order.\nAnswer: 2, 0.3, -0.0512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115\/6 - 19. Let m be 1*-1 - 15\/(-10). Let h = -0.1 - -0.1. Which is the nearest to -0.1? (a) m (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20686 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9062547 is divided by 1890?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4108 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 + 13. Let y be 45\/c - (-3)\/(-4). Suppose 3*d - 42 = -3*l, y*d = -4*l + 93 - 36. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322120 + 23000?\nAnswer: 23011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 4, b: 1, u: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**6\/21 + 2*h**5\/7 + 3*h**4\/2 + 46*h**3\/21 + 8*h**2\/7 + 730. Suppose k(l) = 0. Calculate l.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/w**(-9)*(w**(1\/2))**(-45) assuming w is positive.\nAnswer: w**(-239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(24) - sqrt(24)))\/(2*sqrt(8)*2))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 1 + 1 + 0. Let w(m) = -m. Let f(s) = -3*a(s) - 4*w(s). Let n be f(5). Solve -n*t - 5 = -0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -182, -594, -1400, -2732, -4722, -7502?\nAnswer: -11204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19298 + 19283.8. Which is smaller: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 303 + 224*m**2 - 225*m**2 + 612.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 not equal to 5.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-20))\/(6\/(-5)). Suppose 0 = 4*u + u - 110. Let d = u + -23. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbbsbohsnbb. What is prob of picking 2 b, 1 o, and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 79. Suppose 0*m = 5*m - 460. Let t = m + -80. Solve a = l - 5*l + t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:22 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:22 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/((-2268)\/(-1890))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(245)*2 - (sqrt(245) + 0 + -3)) + -4*3*5*(sqrt(245) + -2))**2.\nAnswer: -125706*sqrt(5) + 1320734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let i = 3\/65 + 2\/13. Solve 0 - 3\/5*s - i*s**q = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 6*m**2 - 7*m - 11. Determine y(5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 2*b**2 + 4. Let f be u(2). Solve -2*x = -5*p + 8 - 2, -2*p + 4*x = -f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -579. Let b = -488 - k. Let w = 2 + -3. What is the nearest to 0.3 in 0.1, w, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12623 * 960\nAnswer: 12118080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 145 times 1175\nAnswer: 170375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 51 = 11. Let u be (-8)\/(-2)*(-10)\/h. Sort -4, u, 1.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(456) + sqrt(456)))\/sqrt(8)*-2)\/((sqrt(18)\/(sqrt(6)*2 - sqrt(6)) + sqrt(12)\/sqrt(64))*-4).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = r - 90. Let b be r\/35 + 978\/7. Let h = -51 + b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3429 and 3761352396.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 6. Let c = -12 + 34. Let y = -24 + c. Let p be l(y). Solve 0 = 5*d + p - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931634 > 931635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**3 + 2 - 11*v**3 - 2*v**2 + 4*v**2 + v - 3*v**2 in the form j + n*v + w*v**2 + f*v**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169721314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -29.25 (b) 0.2 (c) -2\/13 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*q = -15 - 5, a - 2*q = 4. Suppose a*g - 27 = 17. Let f = 17 - 16. What is the highest common divisor of g and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 = 63*s - 673 - 417 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3899 - -279?\nAnswer: -3620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44\/8)\/(-1)*(-989)\/(-76153))\/(2\/(-154))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -32. Let k = v - -43. Which is the third smallest value? (a) 0.2 (b) 3\/8 (c) 2\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 34*p**3)*((1 + 0 + 1)*(-5 + 3 + 1) - 5 + 0 - 1).\nAnswer: 272*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 3, m: 6, q: 1, u: 2, o: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8) + -1 + (-231)\/(-22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g. Let m(f) = -3*f. Suppose -3*o - 2*o = -4*s + 14, 6 = 2*s - 2*o. Suppose -12 = -y + 4*v + 1, v - s = -4*y. Determine y*m(x) + 3*z(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 10. Let q(z) = -5. Let v(g) = 10*q(g) - 5*y(g). Let h(l) = 5*l - 1. Let s(b) = 4*h(b) + 5*v(b). Is s(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-266))\/(13720\/26068)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oloe when four letters picked without replacement from eooeooeoooelooeoeoo?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*z + 30, 3*z + 1 + 17 = -4*y. Let j be -8 - -5 - (z + 2). Let c be j - (-6 + -1 + -4). What is the greatest common divisor of 132 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3 - 3*z**2\/2 - 4. Determine l, given that k(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 108*n**2 + 1073*n + 36. Give x(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let i be 4 - (1 - (3 - 3)). Let q(g) = -1. Let a(s) be the second derivative of -s**4\/12 - 3*s**2\/2 - s. Let l(m) = i*q(m) - a(m). Give y(l(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-6)\/(-10) - 590\/25). What is the greatest common divisor of x and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let b be h(0). Suppose -8*a + 12*a - 8 = 0. Put 1, a, b in decreasing order.\nAnswer: a, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxw when four letters picked without replacement from {t: 4, w: 2, g: 8, x: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 5*d - w = 70, -104*w = -101*w - 6 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 901396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + 9*d)*(-1175 + 31*d + 1175 + (-2*d - d + 2*d)*(-3 + 0 + 5)) to the form c*d**2 + j + u*d and give c.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 32 - (-10 - -23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 8:58 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h + 7. Let w be (0 + 6\/5)\/(1\/5). What is b(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310.5 + 310. What is the fourth biggest value in z, -0.4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38092 is divided by 150?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.42 + 0.58. Let u = 0.1 - 0.1. Let o = -188\/273 - -2\/91. Which is the nearest to u? (a) o (b) 4\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 411?\nAnswer: 32.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 64 + 27*x**3 + 20.\nAnswer: x**3 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-9))\/(1\/(-5)). Suppose -g = 4*g + q. Is g\/7 + (-471)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253071745?\nAnswer: 5, 50614349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z**8)))**(-13)\/(z*z\/(z\/z**(7\/5))*z)**(-1\/12) assuming z is positive.\nAnswer: z**(-7783\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + sqrt(660)*-2)\/sqrt(12))\/(sqrt(891)*-2 - sqrt(891)).\nAnswer: sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 75 = -7*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*t**3 + 0)*(-2*t + 2*t - t + (t + 3*t - 2*t)*(0 + 5 - 4) - 4 - 6*t + 4) to o*t**2 + c + p*t**3 + y*t**4 + u*t and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:05 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582372 and 84?\nAnswer: 582372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 4*m**2 + 2*m**2)*(-3 - 2*m**3 + 3)*(14 + 3 + 0) + m**4 - m**4 - 2*m**5 + (-1 + m + 1)*(-2*m**4 - 4*m**4 + 5*m**4) + 4*m**5 - m**5 - m**5.\nAnswer: 67*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139375, 278780, 418221, 557716, 697283, 836940?\nAnswer: 976705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 24 - 24) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(396) + -2 + sqrt(396)) + 3.\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11534 + -7893. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*v = 167, 2*k - 5*v = -4*v + 133. What is the remainder when 205 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309225277 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*h = -0*h. Suppose 18*v - 13*v - 320 = h. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 22090*f**2 - 220652*f - 529680 = 0.\nAnswer: -2, 12, 11035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {v: 2, w: 2, h: 1, t: 2, x: 1, m: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 1.6 (b) -4\/6063 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 17*z + 83. Give m(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 6, -2\/9, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 84?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-315))\/((-1)\/(-3) + -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 47*i - 13. Let c be o(4). Suppose 0 = -r + 3*s + 40, 4*r - 2*s - c = 15. Suppose -4*j = -j + 15, 0 = u - 5*j - r. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 195370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0497 and -10211.51.\nAnswer: -10211.5597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-88.01.\nAnswer: -8.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 1)*(-c**2 - c**2 + 3*c**2) + c**2 + 10*c - 14*c + 6*c in the form m*c + b*c**2 + n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419 - -414. Which is the fourth biggest value? (a) -10\/11 (b) f (c) -1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3041534?\nAnswer: -3041535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 734, -3, 1600 in increasing order.\nAnswer: -3, 734, 1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 59. Let p be l(12). Solve f = p - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 608*h**3 + 6163*h**2 + 10498*h + 4944.\nAnswer: -(h - 618)*(h + 1)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -954759 divided by 8?\nAnswer: -954759\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20146112 divided by 12352\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2 (c) -2\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let m(q) = -68*q**2 + 8322. Calculate m(i(z)).\nAnswer: -68*z**4 + 8322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (2 - 3) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose -13*u - 6 = -16*u. Suppose -3*g + u*o + 4 = 0, -11 = -5*g + 10*o - 11*o. Solve -5*q + 3*d - 18 = n, 5*q + 3*d = -g - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1*(sqrt(75) + 1 + sqrt(75)))**2 - (sqrt(75) - (0 + sqrt(75) + 2 + sqrt(75)))**2 - (-3*sqrt(3)*2 + (-2 + sqrt(147))**2).\nAnswer: -154 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)\/((r\/r**9)\/r)*r*r**(-10)*r**(-1\/4))**45 assuming r is positive.\nAnswer: r**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.074397 minus 3411.7?\nAnswer: -3408.625603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 24498, -5, -0.3, -2, -0.4, -1 in decreasing order.\nAnswer: 24498, -0.3, -0.4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*v - 36, 10*v - 12*v - 3*b + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 15*r**2 - 71*r - 15. Let d be k(-5). Let t = 8 + 12. What is the greatest common divisor of t and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4 + 3 - u**2 + 6*u**2 + 5*u**2 + u - u**3. Let w be x(8). Let i = w - 80. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/5 - -4. Is 0 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 + (-138303546)\/1293102 - 6\/171\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-204)\/(-15) - 4\/(-10) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = n + 11, 0*v + 3*n = -v - 17. Let c be (-2 + -3)\/(v\/6). Calculate the highest common factor of c and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = a - 920000, 0*l + l = 0. Let c be (-6)\/9 - 28\/(-6). Suppose -2*g + c*g - a = 0. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6265.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 7*c)*(-2*c**3 + c**3 - 6*c**3).\nAnswer: -42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose 0 = -c + 3*p + 28, 3*c + p - 47 = -c. Solve 4*s = 20, w + g*w - s = -c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g - 36*g**4 + 34*g**4 + 4 + 5*g**3 + 286*g**5 + 97*g**5 + 2 + 7*g**2 wrt g?\nAnswer: 22980*g**2 - 48*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5674320 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.043844*-2\nAnswer: -0.087688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 149 and 4778499.\nAnswer: 4778648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:30 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 456443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 l, and 1 u when four letters picked without replacement from {h: 1, u: 2, l: 2, o: 2, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:43 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100001101 (base 2) to base 13.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130846 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 42. Solve v*m + 2*m + 11 = -c, -2*c = 2*m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 7. Let d = 12 + -17. Let u be l(d). Let j = u + 53. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575 divided by -4\nAnswer: -575\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**5 + 262*g**4 - g + 720.\nAnswer: 60*g**3 + 3144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(10)\/sqrt(2)*-3)*-4 - ((-1*sqrt(684) + -1)**2 + 2).\nAnswer: -687 - 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*p)**(-1\/40)*p\/(p\/p**(-3\/2))*((p\/p**(1\/7))\/p*p*p*p)\/p)\/(p\/(p**(-4)\/p)*p**(-1\/5)*(p**(-2\/3)\/p)**7) assuming p is positive.\nAnswer: p**(743\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1080 greater than or equal to -2159\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 5*n**2 - 6. Let p be m(-5). Let k = 8 + p. Let l be (18\/3)\/k - 0. Solve l = -2*g - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 8\/5, -2\/45, -1.46, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14027699 minus 2.3187?\nAnswer: 14027696.6813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*h**4*q + h**3*q + 119*q with respect to h.\nAnswer: -184*h**3*q + 3*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334249211?\nAnswer: 334249211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g + 4*f - 325 = 0, 4*g - 4*f = 1200. Suppose -98*c = -93*c + g. List the prime factors of (c\/3)\/(23\/(-207)).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*y + 26*y**2 + 11*y**2 + 2*y - 15*y**2 wrt y.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - o + 2 - 7.\nAnswer: -o + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 + 5*a - 1. Suppose 0 = 3*v - 11 - 4. Let d be h(v). Round d to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3017515 - 232.\nAnswer: -3017747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 147*l**4 - 2289*l**3 - 9561*l**2 + 26592*l - 14592 = 0.\nAnswer: -19, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -1\/20*a**5 + 5\/12*a**4 + 0 + 0*a**2 - 5*a - 1\/2*a**3. Suppose -5*f = -4*g + g + 2, -14 = -2*g - 3*f. Calculate o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 720 = -13*l. Let x be (-1)\/(-1) - 56\/l. Factor -x*h**2 + 0 - 2\/9*h.\nAnswer: -2*h*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*g - 2*g. Suppose 0*z + 457 = g*z - 3*m, -3*m = 2*z - 233. What is the highest common factor of 46 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*s + 24 = 0. Suppose 0 = s*w - 9*w + 15. Let l be 38\/(-171) - (-32)\/(-18). Put w, l, 0, -4 in decreasing order.\nAnswer: w, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 0*s**4 + 0*s**4 + (1 + 5 - 5)*(-s**4 - 4*s**4 + 0*s**4).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {c: 4, l: 6, x: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(37 - 11 + 25)*(-11*f**3 + 8*f**3 - 13*f**3).\nAnswer: -1632*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/24 and 63\/124163756.\nAnswer: 744982536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104794172 is divided by 143948.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.06 + 0.06. Suppose 2*o = -5*s + 40, 5*o - 3*s + 110 = 55. What is the closest to -0.1 in -4, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, 1 e, and 1 w when four letters picked without replacement from tsuuususfuwssessf.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 - 142. Suppose -6 = u*w - 21, -4*w + 14 = -3*i. Calculate the greatest common divisor of i and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**4 - 212*i**4 + 57*i**4)*(-5 + 3 + 1) as u*i**2 + d*i**4 + v + c*i**3 + w*i and give d.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5 plus 3522?\nAnswer: 3539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((92\/8 - -3) + (-224)\/32). Solve 4*s - c*s - 33 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -0.1500703715.\nAnswer: -0.1600703715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**3\/3 - 13*l**2\/2 + 9*l - 2. Let k be o(-14). Let r(a) = -a**2 - 4*a + 8. Let j be r(k). Solve -s + j = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34322\/11*b**2 + 162\/11 + 4716\/11*b.\nAnswer: 2*(131*b + 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, 2, 1180, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 200 + 4988 = 3*g, x = 5*g + 2407. Suppose 0 = 6*v - 9*v + x. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 != -1433\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9841 to 1 decimal place.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1307911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6314)*-11*7?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 5*n + n + 2*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1832?\nAnswer: -5\/1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 5}. What is prob of sequence zzgz?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 20*u**2 - 44*u - 156. Calculate t(-11).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 454 = 5*k. Suppose -9*o + k = 38. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**2 + 439*p - 2387. What is n(-42)?\nAnswer: -1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 4, s: 1, w: 3, l: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 13) to base 11.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 - 1 + 5*z - z**2 + 9*z**3 + 6*z**3 - 15*z**3 to g + v*z**3 + k*z + n*z**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62\/23, 0.4, -0.05.\nAnswer: -62\/23, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9456*g**3*w - 1823*g**3 wrt w.\nAnswer: -9456*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 - 2*h - 1. Suppose -7*o - 15*o + 30 = -19*o. What is the remainder when y(3) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*h - 1 - 67*h + 52*h)*(-2*h - h + 4*h) to z*h**2 + n*h + k and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 327 = 4587. Suppose 3*o = 3*y + 18, 3*o + 2 = -2*y - 0*y. Let a be y\/14 - f\/(-42). Solve 2*b + a = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1670 divided by -1670.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4842 and 4959822.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-13)*106\/318.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*q = 12, -u - u + q + 10 = 0. Let d = -0.1 - 0.9. Let n = -0.04 + 5.04. Which is the nearest to d? (a) n (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-495)\/(-15)))\/((-2)\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2869*v = 863*v - 2065*v - 81421 + 4072 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 59*u - 1093 - 609 = 0 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2\/5 (c) 2\/3 (d) 70 (e) 1123\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414859?\nAnswer: 3, 29, 41, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 13 = 7*r. Sort r, 4, -3, 5.\nAnswer: -3, 4, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.98 times -89938?\nAnswer: -5394481.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c + 55. Let j(x) be the second derivative of 1\/6*x**3 + 3*x**2 - 4 + 2*x. Determine 55*j(i) - 6*t(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18 + (-806)\/468?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k**2 + 1385*k + 7975. Let h(z) = -13*z**2 + 692*z + 3987. Let d(b) = -5*h(b) + 3*j(b). Factor d(u).\nAnswer: 5*(u + 6)*(u + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.3081 - -16.3081. Let t = -61\/77 + 4\/11. What is the smallest value in r, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31375853 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2839, -2841, -2843, -2845, -2847, -2849?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 7317055?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {w: 1, d: 2, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 328140.\nAnswer: 164070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -3 (c) -80 (d) -0.4 (e) -115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 194242, -1 in descending order.\nAnswer: 194242, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.8. Suppose -2*x + 3 - 11 = 0. Let l be 160\/275 + x\/10. Which is the third biggest value? (a) l (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 - 4*m**2\/13 + 18*m\/13 + 36\/13.\nAnswer: -2*(m - 3)*(m + 2)*(m + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u)**(2\/35)*u*(u**(-2\/13)\/u)\/u*u\/((u*u**(-2\/25))\/u*u) assuming u is positive.\nAnswer: u**(-479\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2493, -2213, -1749, -1101?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szbuzbzqqbbzqb. Give prob of picking 1 z and 1 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 + 8 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14143, -1\/4, -4, 2 in decreasing order.\nAnswer: 2, -1\/4, -4, -14143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 191?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30761?\nAnswer: 19, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 9*u - 14. What is l(12)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 3*y - 328. Let g(w) = -w + 4. Give d(u) + 4*g(u).\nAnswer: -2*u**3 - u - 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -489 - -1466\/3. Let t = -29.8 - -30. Which is the closest to v? (a) t (b) 7 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2644, -5037, -7478, -9973, -12528, -15149, -17842?\n\"Answer: -b**3 - 18*b**2 - 2332*b - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - t - 1 = 0, -3 = -69*w + 65*w + 3*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 20. Suppose -4*s + 0*s = -g. Does 6 divide (-8 - s)*136\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137329 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5364 = -140*q - 1201*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 4380*m - 5991*m + 4*m**3.\nAnswer: 2*m**3 - 1611*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, 0.2, 1, 3\/8, -2\/9, -8\/57 in descending order.\nAnswer: 1, 3\/8, 0.2, -8\/57, -2\/9, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 71?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2535 (base 7) in base 11?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6 - 9 - 3 + v + v. Let x be f(1). Let c(m) be the first derivative of m**2\/2 - 61. Let o(h) = 2*h**2 - 6*h - 1. What is x*c(y) - o(y)?\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 43 = 29. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 374904711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 57. Suppose -n + 457 - 39 = z. What is the highest common factor of n and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + 1 + 132 + -119 + (10 - 27)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from {i: 4, o: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.64 rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.9 + -42. Let h = 0.03 - 0.06. What is the third biggest value in h, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 67. Suppose 7*q + t*g - 70 = 2*q, 5*q - 4*g - 43 = 0. Suppose 9*r + 118 = q*r. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 5, -4*d - 266 = -5*a. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let n(r) = 79 - 2*r - 46 - 17 - 27. What is n(j(m))?\nAnswer: 4*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, -5, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + l + 2*l + 1084 = 0, 3*m + 2*l - 830 = 0. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 21. Let c be n(-5). Suppose -3*x = c + 2, 0 = 5*g - 5*x - 260. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3038 divided by 434.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -993, 30, 0.04, 0.6, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/4*(-12232)\/(-66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1007181 + 9?\nAnswer: 100718a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -3*g**2\/2 + 24*g - 5. Let p be t(-9). Is p != 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/(-26))\/(2\/48). Suppose -3*i - 5*n + 16 = 0, 3*n - 2 - 4 = 0. Suppose 5*p - 6 = 14, 0 = -4*t - i*p + x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 10. Let f be g(6). Let x be 4\/f - -2 - (0 - 5). Solve -5*i = 2*p + 2*p + 2, x = -3*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 292.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.079 + -0.079. What is the third smallest value in 2, 0.5, -2\/5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 4*d)*(1 - 3 + 3) + (2 - 5 + 10)*(-30*d - 18*d + 2*d)*(1 + 0 + 1).\nAnswer: -643*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Solve -3*s = 2*j - 4, 3*s + n*j + j + 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 16*d + 6405. List the prime factors of d.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -10*j + 5*j - 2, -b + 4 = -3*j. Let k be ((-10)\/(-35))\/(j\/(-7)). Factor k*q**2 - 7 + 4 + 12*q - 6*q**2 - 5.\nAnswer: -4*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 16*s**3 + 44*s**2 + 48*s + 18.\nAnswer: 2*(s + 1)**2*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36182 and 699824.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/4 - 1887*b**2\/4 + 296670*b - 62176700 = 0.\nAnswer: 620, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and -0.3?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30231 + -2132320?\nAnswer: -2223211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1366, 1368, 1370, 1372, 1374, 1376?\n\"Answer: 2*l + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -b + 24, -5*b + 0*b + 3 = j. Suppose -j - 3 = -2*w. What is the derivative of -9 + 0 - 12 - w*u**4 + 3 wrt u?\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 559 in ascending order.\nAnswer: -3, 0, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 11*j**2 - j**2 to v*j + a*j**2 + o and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -4237520?\nAnswer: -4237527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 5058*v - 2131947.\nAnswer: -3*(v + 843)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -84*k**2 + 7*k + 2. Let x(i) = -77*i**2 + 6*i + 2. Determine -3*b(a) + 4*x(a).\nAnswer: -56*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148549\/103122 + -2\/3033. Let y = 2\/325 + -5549\/3900. Calculate the common denominator of g and y.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 35*b**2 + 9*b + 59. Calculate the remainder when a(-17) is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/180)\/(24\/(-384))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(1\/17)*a**(-7)*(a*a\/(a\/(a*((a*a\/(a**(-1\/12)\/a))\/a*a)\/a))*a)\/a**(5\/2) assuming a is positive.\nAnswer: a**(-685\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77900 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 less than or equal to 557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 83*u**2 + 4*u - 4. Let f be w(2). Suppose -8*b + f = -184. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q*v**2 - 2*q*v + 147140*q + 242*v**2 + v with respect to v.\nAnswer: 4*q*v - 2*q + 484*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6602 - 2.6. Let g = p - -2.9398. Sort -5, -6, 0.04, g in ascending order.\nAnswer: -6, -5, 0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvgpgvfvmwg. What is prob of picking 1 w, 1 f, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19617 is divided by 3915.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 211700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475024 is divided by 1594?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 87\/2. Let d = -2.9 - -3. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -m, 28 = -w + 3*m. Let v be (w\/(-2))\/(-4 - (-1359045)\/339760). Suppose 4*s + 2*b = -v + 17460960, 4*b = -16. Round s to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) -0.3 (b) 156 (c) 1 (d) -0.065 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**2 - 2*l - 2. Let j(r) = 12*r**2 + r + 1. What is -4*j(f) - 3*o(f)?\nAnswer: -12*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*o + 3, 2*o = -2*o - 3*q - 3. Let t be o + (1 - -3) + -460. Is 5 a factor of t\/(-21) - (-8)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyjjvvyjjyjvyjvj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 2 = -35*s. Suppose 1264 = -s*d - f + 5141, 7755 = 4*d + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((58\/9)\/29)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 207858.6 and 6.\nAnswer: 1247151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 - z**3\/3 + 3*z**2 - 8*z + 61. Calculate the remainder when 21 is divided by p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**3 - x + 1. Let b be h(1). What is the lowest common multiple of 1\/3 + (-69)\/b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + q - 53, -3*l + 5*q - 3 + 46 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b85 - 3?\nAnswer: b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123401034 (base 5) to base 10.\nAnswer: 2559519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87 and -2.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21538 times -8?\nAnswer: -172304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j - 5*v - 175, 97 = -3*j + 5*v. Is j smaller than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171428*u**4 - u + 138653.\nAnswer: 2057136*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 5*k - 4. Let n be p(3). Let o = n + 5. What is the units digit of (-22)\/2*(o + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 + 1 = 0. Let t(l) be the second derivative of 3*l**4\/2 - l**3\/3 - 2*l + 1. What is the units digit of t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173277649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20550 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 578988032 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((-4 + sqrt(63) + sqrt(7) - sqrt(7)) + (sqrt(42)\/sqrt(216) - sqrt(7))).\nAnswer: -13*sqrt(7)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -56. Let i be 4\/t*-3*(2 + -16). Is i greater than or equal to -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 400\/(-48)*-3*1. Suppose -w*i = -29*i + 12. Solve 3*j + 5 = -p, 4*p - 4*j + 20 = -i*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 + -126 + 130.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*v + 2, g = -v - 20 + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*x - 9*x - 2*m, -2*x + 14 = 3*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324494.6 litres in millilitres?\nAnswer: 324494600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1809*s - 8629. Let m(t) = 3628*t - 17260. Let a(l) = -3*m(l) + 5*y(l). What is the first derivative of a(r) wrt r?\nAnswer: -1839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303961877.\nAnswer: 167, 389, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 5, 92, -1, -5, 1 in descending order.\nAnswer: 92, 5, 3, 1, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 3*g**2 - 3*g + 4. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*a + 134. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/24)\/(15\/(-6)). Let q be (1*33\/(-22))\/(d\/(-2)). Solve q*g - 5*g = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/33 + (-1 - (-304)\/220).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h**2 + 206*h**2 - 219*h + 219*h - 44*h**2 - 25*h**3 - 70*h**2.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.5 + -108. Let d = n - -76. What is the closest to -2 in d, -5, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r**3 + 195*r**3 + 20869 - 5216 - 5211 - 5218 - 5220.\nAnswer: 119*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 137672*z**3 - 1238832*z**2 - 3716280*z - 3716172.\nAnswer: -4*(z + 3)**3*(z + 34409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (27\/12 + (-525)\/100). Suppose 0 = -0*b + 3*b - 6. Suppose -3*a + 100 = 5*v, -3*v + 2*a + 20 = -b*v. Solve -h = w*h - v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903409107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*k + 655 = 5485 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 126\/(-490). What is the smallest value in r, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let g(s) be the second derivative of 0 - 1\/12*s**4 + 0*s**3 + 0*s**2 - s. Calculate g(i(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (16 - 28) - 23 - (3 - -15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 37995*d - 37955*d - 150, -4*g - 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*n + 24, -2*y = 9*n - 4*n - 22. Find the third derivative of 6*m**6 - 131*m**y + 41*m**6 + 93*m**2 wrt m.\nAnswer: -10080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8*x - 115. Let w = x - 2. Let p = w - -36. What is the lowest common multiple of p and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -s - 56. Which is the smallest value? (a) 0 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*j**2 - 377*j**2 + 186*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6732 - 6729. Put 7\/177, w, 5 in ascending order.\nAnswer: 7\/177, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((6\/3)\/10). Let z = -3 - h. Solve 13 = x + 5*y, -z*y + 7 = -2*x - y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3 + s**2 - s - 1. Let w be g(-8). Suppose 2*y - 2*f = -2*y + 190, 3*f - w = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 less than 545104865350?\nAnswer: 545104865350.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -1*sqrt(1300) + -5.\nAnswer: -10*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 7) + -6 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*a - 529*a + 244*a.\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190026.8 and -38.\nAnswer: 189988.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiisgiiii. What is prob of sequence gsi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*r + r = 2678, -r = -5*j + 2674. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25182 and 5596?\nAnswer: 50364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10*b - 90 = 0. Let l(n) = -10 + 106*n + 14 + 1 + 0. Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(85) - (sqrt(85)*-3 - sqrt(85) - sqrt(85))) + sqrt(85)) + sqrt(85))\/(sqrt(405)*1 - sqrt(5)).\nAnswer: 43*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19370610969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 960569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -5) + (8 - 1). Suppose x = -5*y + 2 + 35, -5*y + 27 = -a*x. Let w = 15 - y. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*g**(1\/3)\/g*g)\/g*g))\/(g**(4\/7)\/g))\/(g\/(g\/(g**(2\/3)*g)))**41 assuming g is positive.\nAnswer: g**(-1454\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2 + l + 4. Suppose -708 = -49*n - 171*n + 102*n. Let q(i) = 7*i**2 + i + 3. What is n*q(m) - 5*t(m)?\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -202?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*q + 50, q = 1259 - 1253. Solve -21*o - 22 = f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 + b - 2. Let o be l(5). Suppose 30 = 5*m - 45. Calculate the highest common divisor of o and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 7. Let b be d(-5). Let i = b + 5. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -2\/15, 213?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 16*s + 43. Let h be f(13). Suppose m - 325 = -5*o, -178 = -2*o - o - h*m. What is the greatest common divisor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6228, 9969, 13710, 17451, 21192?\n\"Answer: 3741*m + 2487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-12))*p\/(p\/(p\/(p**(6\/7)*p)))*(p\/(p**(2\/19)*p))\/(p*p**(6\/7)))**(-47) assuming p is positive.\nAnswer: p**(92637\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 - 2*t - 1. Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 26976*q - 15750. Let i(j) = 1226*j - 716. Let n(t) = -45*i(t) + 2*u(t). Differentiate n(z) with respect to z.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*z + 155, -7*z = -2*z + 2*l - 141. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-340)\/(-408))\/((-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -317 (base 10) to base 6.\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2558467*g**4 + 2668050.\nAnswer: 10233868*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*i**2 - 415*i + 10423 wrt i?\nAnswer: -16*i - 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1172*a**6 + 93750*a**3 - 377624387*a**2 wrt a.\nAnswer: -140640*a**3 + 562500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18. Let i(y) = 2 + 5*y - 13*y - r. Let c(l) = 2*l**2. Determine c(i(k)).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475924 is divided by 156691.\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -94731 times -0.1167?\nAnswer: 11055.1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - g**3 + 2*g**2 - 2*g**2 + 2 - 3*g. What are the prime factors of k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3 + -1 + 0. Let b(g) = g**2 - g + 66. Let s be b(0). Let q(x) = -8 + 69*x**3 - s*x**3 + 7 + x**2. What is q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-230)*-25*(-11)\/(11\/4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + 10 + -9 + (-3 - -4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24851, 49665, 74495, 99341, 124203, 149081, 173975?\nAnswer: 198885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -44*a**2 - 5*a - 6. Let j(o) = 45*o**2 + 4*o + 6. Let r(l) = -2*j(l) - 3*q(l). List the prime factors of r(-4).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/269305 + -646600897\/54938220. Let l = 29\/34 + d. Find the common denominator of ((-2)\/14)\/((-510)\/(-1309)) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.079, -1240, -0.3, 3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001689 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(6*c - c - 3*c) + 972*c + 48*c + 140*c.\nAnswer: 1164*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3*b**2 - 3*b**2 + 6*b + 2. Let o be g(-5). Let f = -1 - o. Solve -i + 3 + f = 0, p - 3*i + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15*t = 345, 27*q - t = 25*q + 103. What is the highest common factor of q and 7101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-4))\/(6\/4). Put 7, 2, q in ascending order.\nAnswer: q, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (3 + 5 + -12 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 81 = m - 50, -4*m - 2*z + 504 = 0. Let j be (900\/27)\/(4\/6). Calculate the highest common factor of j and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4640\/30*90\/24 is divided by 135.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 6*g + 45. Suppose 0 = 3*h + 3 - g, 4*h + 60 = 2*p. Let o(r) = r**3 - r**2 - r - 4. Calculate the least common multiple of o(3) and p.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from bmiililiiiilliim.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3274 + 5315. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -513*m**5\/5 - 2294*m + 2289. Differentiate a(g) with respect to g.\nAnswer: -2052*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:00 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**2 + 5*r**4 + 7*r**2 - 3*r**4 + r - r + (-r**2 + 4*r**2 - r**2)*(6*r**2 + 0*r**2 - 4*r**2) + 4*r**4 + 2*r**4 - 4*r**4.\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + x - 11, -2*i + 5*x = -3*i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, -8\/9, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108600 divided by -2715?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 86*c - 96*c)*(3*c - 3*c + 3*c).\nAnswer: -528*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -1. Let b = 1 - 0.8. Let h = b + -0.5. Put h, p, 0.4 in ascending order.\nAnswer: h, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2. Let u(y) be the third derivative of y**6\/360 + 2*y**3\/3 + 4*y**2. Let v(j) be the first derivative of u(j). Calculate a(v(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323571200 to the power of 1\/2, to the nearest integer?\nAnswer: 17988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (0 - -3) + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - v**2)*(1 - 1 + 3*v) + 145*v**2 - 344*v**2 - 212*v**3 + 196*v**2 + 6.\nAnswer: -206*v**3 - 3*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (17 - -3) + 11 - 73?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c. Let u be a(-3). Let w(d) = d - 3 - 5*d - u. Let x be w(-5). What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 3*c - 2. Let l be p(1). Suppose -3*t + 703 = -2*b, -2*t + b - 478 = -l*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + p**2 - p**2 - 3*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 80*o**2 + 24*o - 8. Does 12 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 8*r**2 - 6*r + 7. Let t be w(-7). Suppose -6*v + 9 + 45 = t. Suppose v*g - 15 = 4*g. Solve 4*h - g = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001101000000100 (base 2) to base 8.\nAnswer: -615004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 408629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 - i - 3*i + 2*i. Let g(y) be the first derivative of 3*y**2 - y**2 + 9*y - 8*y - 7 - y**2. Give 2*g(f) + 3*x(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-54))\/(125\/13125) + (-3 - 2).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-14))\/z)**(-35))**(-3\/31) assuming z is positive.\nAnswer: z**(-1470\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1728680+3146\nAnswer: -1725534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, -122 in descending order.\nAnswer: 20, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 + 24 = 0. Let b = m - 4. Let r = -5 + 5.2. Are b and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6 + 15. Let i = -5 - u. Suppose 2*g + 2*g - i*b = 200, -2*b + 140 = 3*g. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -3*w**6\/40 + w**5\/30 - 4*w**4\/3 + 67*w**3\/6 + 157*w**2 + 3*w + 2. Find the first derivative of n(t) wrt t.\nAnswer: -27*t**2 + 4*t - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/6 + ((-1050)\/(-63) - 15). Solve -i*t = 3*a - 17, 2*t + 43 = a + 44 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 56*j**2 - 56*j - 239. List the prime factors of s(-56).\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/(9\/12). Suppose 0*k + t*k = 12. Let i = 10225 + -10217. Calculate the lowest common multiple of k and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3601, -7212, -10825, -14440, -18057, -21676?\nAnswer: -25297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 20. Is 16 a factor of m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*w - 5 = -w, 17 = -4*b + w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10780 - -0.0483148.\nAnswer: 10780.0483148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 205 = 335. What is the lowest common multiple of c and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/3 + 116*z**2 + 13456*z - 337. Find f such that o(f) = 0.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/72 and 151\/538068.\nAnswer: 3228408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.021+152883.4021\nAnswer: 152883.4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1146521\/1497664 + -2\/23401. Let i(s) = 134*s**2 + 7*s - 43. Let m be i(5). What is the common denominator of 14\/105 - m\/1440 and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 9269.\nAnswer: 46345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34.7573927 * 5\nAnswer: -173.7869635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11566?\nAnswer: 2, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Let s = 10 + -6. Let i be 5\/(10\/s)*1. Which is the third biggest value? (a) 5 (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -11, -62, -4, -1, 3, 5 in ascending order.\nAnswer: -62, -19, -11, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 100 = 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -213. Let m be 10 - j - (-2 - 2). Solve 2*n = 3*l - 2*n + m, 0 = -5*n + 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 153 = 12*v. Let a(u) = 13*u - 59. List the prime factors of a(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/580 and -33\/1160.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2771*a - 613*a - 33*a to s + n*a and give n.\nAnswer: -3417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15315 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 8) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42249 is divided by 1362?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 14. Suppose -5*c + 34 = 2*n + 10, 0 = 5*n - 2*c - 2. Solve 3*k + n*l - 6 = g*l, -2 = -k + 2*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 13131*k**4 + 3*k**2 + 1 - 13128*k**4 + 0*k**2 - 14*k**2 to u*k + l + q*k**3 + m*k**2 + r*k**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {z: 2, e: 10, d: 1, f: 3}.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -423 - -422.98. Let v = 4 - 4.1. What is the nearest to v in -2\/5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u - 14. Let t be ((-8)\/(-3))\/(4\/6). What is the remainder when 27 is divided by q(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4207198708 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4236 from 2272996038.\nAnswer: 2272996038.4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 307567162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27035, 26965, 26895, 26825, 26755, 26685?\nAnswer: 26615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 54316130 to the nearest 10000.\nAnswer: 54320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = a + 4*a. Let d = -14 + a. What is the remainder when 19 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4658, -14638, -29984, -50696, -76774, -108218?\n\"Answer: -2683*j**2 - 1931*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7760577 + -0.4.\nAnswer: 7760576.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 22, 5, -34, -101?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/160 - 3*v**4\/32 + v**3\/2 - 5*v**2\/4 - 46*v. Factor o(c).\nAnswer: (c - 5)*(c - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -18, -28, -40?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 0. Suppose -t*n = -3*n + 4. Let x(s) = -7*s**3 - s**2 + 1. Calculate the smallest common multiple of n and x(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 72. Give a(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.16, -0.0527, 0, -1\/5, 4, -2\/89, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001100100101010100110101?\nAnswer: 1001100100101010100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 11925*s + 252630.\nAnswer: -5*(s - 2406)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(5\/5 + (-11)\/99*6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 7*a**2 - 7*a - 1. Is u(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 + 1430*d**4 - 1455*d**3 - 5720*d**2 + 5740*d = 0. What is d?\nAnswer: -287, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3165710.\nAnswer: 25325680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o + 85. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43503, -1, -16, -18, -0.4, 4 in increasing order.\nAnswer: -18, -16, -1, -0.4, 4, 43503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*-1 - sqrt(34))\/((sqrt(18)*4)\/sqrt(9)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -1, 312, -41 in descending order.\nAnswer: 312, 8, 2, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3680 = 3*s - 3683 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-117) + (-8)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2880 divided by -48\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 18*r + 4*n - 20, -6*r - n = -15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541 - 1109\/2. What is the common denominator of i and -81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 64. Let v be r\/(-27)*(36\/(-5))\/2. Solve -3*q - 5*x = -23 + v, -5*q - 2*x + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307901023.\nAnswer: 19, 23, 704579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**4 + 6*v**4 + v**3 + 3*v**2 - 1 - 15*v + 0*v**3 - 1 to z*v**2 + k*v**3 + u*v**4 + h*v + o and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n\/n**(-4))**(1\/41)\/((n\/((n**1*n)\/n*n))**(2\/121)\/((n*n**(2\/5))\/(n\/(n\/n**3)))) assuming n is positive.\nAnswer: n**(-39883\/24805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 4*s - 2. Let l be z(-4). Let q be l + (0 - -2) + -4. Does 6 divide (-50)\/q*4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 95*q**2 - 4*q + 181. Let c(u) = -285*u**2 + 14*u - 542. Let f(r) = -2*c(r) - 7*s(r). Differentiate f(m) wrt m.\nAnswer: -190*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 31*c = -192 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, s - 4*s + 2 = x. Suppose -x*z + 21*z = 105600. Round z to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*m + 19 + 241 = 0. Is m > 5\/413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/10719661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170474, -340949, -511424, -681899, -852374?\n\"Answer: -170475*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11756 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/733 + -607\/5131. What is the third biggest value in -4920, f, 1?\nAnswer: -4920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.391487 to 3 dps.\nAnswer: -0.391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:17 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 53\/2. Let a = 14 - 14.09. Let o = a + 3.09. What is the third biggest value in o, -1\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(-3)\/((-36)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114535026.\nAnswer: 2, 3, 67, 31657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297 + 899\/3. Factor -243*q**5 - 116\/3*q**2 - 405*q**4 + 0 - g*q - 198*q**3.\nAnswer: -q*(q + 1)*(9*q + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10500 - 12142531?\nAnswer: -12153431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 11. Let p(c) = 13*c + 22. Let w(m) = -7*l(m) - 4*p(m). Let n(g) = -2*g - 6. Suppose 7 + 9 = 4*x - 4*k, 2*x - 8 = 4*k. Give x*w(i) - 7*n(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2 - 25*g - 21 = 0.\nAnswer: -3\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjnnnnnjnnnnnj. Give prob of picking 3 n.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2246*t. Let n(l) = -l. What is n(x(p))?\nAnswer: -2246*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.068 and -0.002?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 + (-5)\/3. Let o = 21 - 16. Let r = 2\/159 - -137\/1749. Which is the nearest to m? (a) o (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.862907 millilitres?\nAnswer: 0.000862907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-5)\/((-5)\/20251). Let y be (w\/8)\/((-2)\/(-64)). What is y rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16303, -190, 5, -6.\nAnswer: -16303, -190, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144626917?\nAnswer: 19, 2207, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 - m**2)*(-1 + 1 + m) + 5*m**3 - 7*m**3 - 39 + 5*m**3.\nAnswer: m**3 - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697*u - 707*u + 330 = 0. Calculate the highest common factor of u and 2673.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192 divided by 7?\nAnswer: -1192\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -83, 0, -5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(5*h - 2*h - h) + 3*h - 5 + 8*h - 16*h.\nAnswer: -3*h - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18084 + 43299. What are the prime factors of o?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866172 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10bab76 + -4?\nAnswer: 10bab72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-4))\/(1\/44). Let r(a) = -12*a + 25. Let d be r(2). Let o = j - d. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 47*n**7\/30 + n**5\/30 + 863*n**4\/24 + 605*n**2 - 2. What is the second derivative of y(q) wrt q?\nAnswer: 3948*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 2*w**2 + w**2 - 3*w**2 - w + 5*w**3 in the form b*w**4 + x*w**2 + d*w**3 + j + s*w and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjsx when four letters picked without replacement from jjsmxmkjjxjmvmjjjsv.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447200.3 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c - 3)*(1 - 2 - 1) + (0 + 0 + 2*c)*(-5 - 4 + 3).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 330\/2 + 52\/(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18 + 4\/1 + -1. Let d be 10*(-3)\/((-18)\/c). Let f be (-30)\/12*(-8)\/d. Sort -0.3, f, -2 in decreasing order.\nAnswer: -0.3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 28. Let w(y) = 14. Let q(b) = 2*s(b) + 5*w(b). Let h be q(10). Let f(d) = -126*d + 15. Is f(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 86. Let y(u) = u. Determine a(z) + 3*y(z).\nAnswer: -z - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3320 = 4*w - 4*t, -t - 2737 = -4*w + 571. Let q = 1377 - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 3*i + 40 - 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n - 27. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116554 is divided by 1438?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 11:24 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*z - 16 = 0, 15*r = -r + 4*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 4, g: 1, o: 2, k: 2, c: 7}. Give prob of sequence xxxg.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -68, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221 = -330*n + 99 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 84 = 4*r. Let j(d) be the third derivative of d**5\/60 - d**4\/24 - 11*d**3\/6 - d**2. Is j(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193\/4 or 7120.14?\nAnswer: 7120.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/3)\/((-12)\/88). Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-3 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466772 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165 - -165) + 29 - (40 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 - -11.19. Sort 5, 4, n in increasing order.\nAnswer: 4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -32410*u**5 - 1944595*u**4 + 97530*u**3 + 5898605*u**2 + 3888290*u - 600 = 0. What is u?\nAnswer: -60, -1, 1\/6482, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141340 by -431.\nAnswer: -141340\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(3 - 1 - 1)*(b - b + 2*b) - 2*b - b + 2*b)*(-93*b + 0*b - 21*b).\nAnswer: 570*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25208 divided by 6302?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 61\/5*g**4 + 0 - 14\/5*g + 87\/5*g**3 + 19\/5*g**2 + 7\/5*g**5 = 0.\nAnswer: -7, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7228.\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/2*29 + 1. Suppose -4*x + 345 = -5*n, 257*n = 253*n + 2*x - 270. Let c = o + n. List the prime factors of c.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (311\/(-156) + 2)*4307. Let d = j - 295\/13. Calculate the common denominator of -47\/2 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -5, -3\/2 in decreasing order.\nAnswer: 3, 0.1, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75156?\nAnswer: 2, 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24487 - 5?\nAnswer: 24482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2. Let z(w) = 15*w**2. Give -15*b(n) - 5*z(n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -63*(-1*15\/7 - -2). Suppose -7*j = -2*j + 25. Sort j, y, 0, 3.\nAnswer: j, 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -393 - -435. Suppose -465*q = -464*q - g. What is the highest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(2\/(-3684)). Let z = n + 602. Let i = 484 + z. Is 37 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2\/7)\/p)\/p)**(-16))**(-9\/5))**(-3\/29) assuming p is positive.\nAnswer: p**(3888\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q + 212. Let g be s(-25). Which is the second biggest value? (a) -2\/7 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + 10\/(-72)*-16. Let l(g) = 796*g - 796*g - g**j. Let w(i) = 169*i**2. Calculate w(l(s)).\nAnswer: 169*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3 - (1 - -3)) + -352 + 354?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 + 5*v + 3. Let o be g(-5). Let l(z) = 0*z + o - 5*z - 2 - 2. Suppose 5*u + 28 = -2*c, -50 = -4*c - 4*u - 70. Calculate l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 5, j: 4, z: 2, m: 1, e: 5}. Give prob of sequence ym.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/(-11))\/(36880\/(-5071)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.351 - 0.062.\nAnswer: 0.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25844 - -103.9\nAnswer: -25740.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2\/6)*402\/(-4). Suppose -y = 2*y + 2*z - n, -3*y - 5*z + 64 = 0. What is the greatest common divisor of 115 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(26*r + 12*r - 10*r)*(-16*r + r + 3*r).\nAnswer: -1008*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370713 divided by 4517?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 8*g**2 + g + 22. Give m(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 4*t + 2*t)*(t**2 - 18*t + 18*t)*(4572 - 442*t - 4572) to the form j*t + q*t**3 + r*t**4 + a + b*t**2 and give r.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51653940535.947 plus 5?\nAnswer: 51653940540.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(16\/(-464)*841\/(-580)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -11.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 17*u + 688. Let m be q(35). Solve 59*c = m*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 838518 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, 16, -10, 5, -5, -4 in decreasing order.\nAnswer: 32, 16, 5, -3, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/126*(-33768)\/144.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/20*(-1)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and -112.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*g + 52*g + 128. Find w, given that -366*w**4 + 9*w + 363*w**4 + 5*w**2 - 15*w + g*w**3 = 0.\nAnswer: -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 18*l + 15*l. Let t = 0 - 0. Let t - 1\/3*n**2 + l*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 31*i**2 + 40*i - 50. What is the tens digit of p(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*x + c, -24 = -5*x - 2*c + 47. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 - 2*k + 5. Let n(o) = -5*o**3 + 19*o**2 + 11*o - 25. Let w(s) = 2*n(s) + 11*u(s). What is w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12141 and 63?\nAnswer: 84987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (664 - 716) + 366\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(26 - (-4 + 3)). Suppose -12*q - a = -2*k - 9*q, -2*k + 5*q + 87 = 0. Calculate the smallest common multiple of k and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-1\/25))**(6\/37) assuming q is positive.\nAnswer: q**(-3\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1101111101111000001 (base 2) to base 14\nAnswer: bcb05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.103527 times 0.2\nAnswer: -1.6207054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1185 and 89\/28309650?\nAnswer: 28309650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*q - 3*g**3*r**2 - 2*g**2*q**2 - 4*g**2*r - 51*g*q**2*r**2 + 12*g*r wrt r.\nAnswer: -6*g**3 - 102*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -913673*c - 243348?\nAnswer: -913673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 643*j**3 - 7*j**2 + 3*j + 2. Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 863, 1741, 2619, 3497?\n\"Answer: 878*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 0*d**2 - 1\/3*d**3 + 6 + 0*d. Let b(n) = -2*n. Determine b(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 79. Suppose -k + g = 4*k. What is the tens digit of (-4)\/10 - (-194)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24210 (base 5) to base 13.\nAnswer: -a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 2*s**4 - 3*s + (-2*s**4 + 0*s**4 - s**4)*(1 - 4 - 2).\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/4 - 3*x**2\/2 + 2*x - 601. Suppose -13*z - 25 = -8*z. Let r(i) = -2*i**3 + 5*i - 4. Give z*q(w) - 3*r(w).\nAnswer: w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 350*f + 352*f - 704*f to t*f + v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2422*x**3 + 4*x**2 + x + 3086. Let d(h) = -2422*h**3 - 6*h**2 - h - 3086. Let q(u) = 2*d(u) + 3*l(u). Differentiate q(c) with respect to c.\nAnswer: 7266*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1160)\/(-29))\/(-20)*8\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.73 - -47. Let b = 0.14 - 0.45. Let h = l + b. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 3*m + 9. Let t be y(-4). Let a(g) = 2*g**2 - 3*g + 9. Let k be a(t). Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 387, 639, 927, 1251, 1611, 2007?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-1232)*16*5005\/105.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -10*s**3 + 4*s**2 + 2*s + 2555. Let j(n) = n. Calculate j(k(r)).\nAnswer: -30*r**2 + 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288046392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 + 75*y - 75*y + 19. Let o(b) = 3*b**2 - 9. Let l(t) = 3*h(t) + 7*o(t). What is the derivative of l(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 2*r - 20 - 9)*(r - 6*r + 3*r) in the form l*r**2 + i*r + k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -410, -612, -834, -1082, -1362, -1680?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3981*d**3*f**2*z + 157*d**3*z - d**2*f**2*z + d**2*z - 111*f**2*z + 1272*f*z - 3*f wrt f?\nAnswer: 7962*d**3*z - 2*d**2*z - 222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -219*z**3 + 4947*z**2 - 30009*z - 140622. Let v(g) = g**4 + g**3 + g**2 + 3*g - 1. Let d(s) = -r(s) - 3*v(s). Determine y, given that d(y) = 0.\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 646 and -0.249?\nAnswer: 646.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 747000 and 59760.\nAnswer: 1494000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957168 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13907620.\nAnswer: 2, 5, 19, 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10312 - 103331?\nAnswer: -120303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 24 - 5*f + (-5 + 0 + 3)*(2*f - 2*f - 2*f) + 1 - 5 - 3*f + 3.\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - j - 636 = 1747, 461 = -m + 5*j. Let n = m - -499. What is the remainder when 243 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 106322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6010725 to 3 dps.\nAnswer: 0.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 3*x + 14, -4*x = v - 0*x + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + (26\/12)\/13. Let w be (2\/3)\/(33\/(-9)). Which is the smallest value? (a) w (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1149*k - 392. Is b(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -30 - 2 - (27 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19750 + -19726. Calculate the lowest common multiple of 1086 and m.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3480043.747 to the nearest 1000.\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -2.7 (b) 53 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14f954e + 4?\nAnswer: -14f954a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:48 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 6, 597641 in ascending order.\nAnswer: 6, 23, 597641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2744*q - 4641*q + 1 - 3661*q.\nAnswer: -11046*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000176 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*k + 1533, -171 = -k - 4*o + 140. Solve 283 = -6*j + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6 + (-324)\/45)*10\/(-3) and 23?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - f)*(0*f + 4*f + f) - f**2 + 0*f**2 - 2*f**2)*(-2*f + 0*f + 3*f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-31)\/186). Is o smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4703 - -229.8743. Let g = 219 - h. Let w = g - -0.4. What is w rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 6*q - 80. Let w(v) be the first derivative of v**4\/4 - 11*v**3\/3 + 9*v**2\/2 + 14*v + 1. Let p be w(q). Which is greater: 5\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/1357, 2, -5\/27, -2 in descending order.\nAnswer: 2, 1\/1357, -5\/27, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) -34.6 (c) 18.3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20628573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 142.4, -21, 80 in descending order.\nAnswer: 142.4, 80, 0.2, 0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3380070384 divided by -6\nAnswer: 563345064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -1\/6*l**3 - 44*l + 0 + 4*l**2. Let h = -4 + 9. Give n(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -3. Suppose -y + t = -0*y. Solve 0 = -5*x + y*p - 22 - 10, 0 = -2*x - 2*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:40 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:19 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447443361*h**2 - 170303180*h?\nAnswer: -894886722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 + 10*o - 30. Suppose 106 = -36*q - 10*q + 520. Calculate p(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 - 6 = 0. Suppose 8*a + 20 = 2*m + 5*a, -4*m = x*a - 8. Suppose 9 + m = n. What is the greatest common divisor of n and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125871 is divided by 378.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(35)*4)\/sqrt(7) + -2)*-1.\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 189\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 579 - 260. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -21. Suppose m = -2*l + 43. Suppose 6 = 3*y - x, 8*y - l = 4*y - 2*x. Solve q - 4*q + 3 = -y*p, p = -q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10234203 (base 5) to base 12.\nAnswer: 42297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 280*d + 1991. What is the remainder when ((-2)\/4)\/((-1)\/244) is divided by x(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828565313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 453654584 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1661 - -1661. Let q = 178 - 1244\/7. What is the nearest to y in 1\/4, 3, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 21 (c) 2 (d) -2\/11 (e) -3 (f) -6\/365\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452 - -3?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/sqrt(5)*-6 + sqrt(1425)*-1)\/(1*(sqrt(3) - (sqrt(3) + -2*sqrt(243)) - sqrt(3))*-1).\nAnswer: 11*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**7\/2520 + l**6\/1080 + 7*l**3\/3 - 7. Let q(u) be the third derivative of o(u). Let q(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/((-52955)\/102)*70?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.1 and 117.\nAnswer: -1181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(396) + -5 + -3.\nAnswer: -12 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*p - 3*u, -4*p = -11*u + 13*u - 26. Calculate the greatest common factor of 1916 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 16862*c - 4 + 12 + 16865*c + 2*c**3 in the form o + x*c**2 + u*c**3 + r*c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*g = -19, 2*a - 4 = -2*g + 6. Let v = -5 + 9. Suppose 2*d - v = -2*m, -4*m - 1 = 5*d - 10. Calculate the smallest common multiple of m and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4923637ng in tonnes?\nAnswer: 0.0000000000000004923637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**8\/168 - m**4\/24 + 3*m**2\/2 + 1. Let b(x) be the second derivative of w(x). What is the second derivative of b(g) wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 114 = -45*p. Let u(n) be the second derivative of 1\/5*n**p - 10\/3*n**3 + 1\/3*n**4 + 6*n**2 + 2*n + 0. Solve u(g) = 0 for g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7754356 and -77\/6?\nAnswer: 23263068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 170, 253, 336?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 57)\/(1\/3). Suppose 17 = t + 7. Calculate the remainder when c\/(-9) + (-4)\/(-6) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - b + 11.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2293, 940, 6329, 13874, 23575?\n\"Answer: 1078*u**2 - u - 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143, -132, -127, -128, -135, -148, -167?\n\"Answer: -3*p**2 + 20*p - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7138, 14313, 21488, 28663?\nAnswer: 35838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 24, -1, 3, 12, -4\/1169?\nAnswer: -4\/1169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -576 - -570.57. Let h = 0.43 + q. What is the fourth smallest value in -2, -1\/4, -1, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmtttkjtjkktj. What is prob of picking 3 j?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 2*s)*(1 - 1 - 2*s) - 4 + 4 - 2*s**2 - 27*s + 27*s + 8*s**2 + (s**2 + s**2 - s**2)*(-13 - 57 + 12)*(2 - 2 - 2)*(2 + 0 + 0).\nAnswer: 236*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.937 - 0.063. Let s = 1446234.0109 - 1446296. Let b = v - s. Round b to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 9*g**5\/20 + 2028*g**2. Let n(w) = -46*w. Calculate s(n(v)).\nAnswer: 57132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 143 = 123, 2*x = 2*d + 8. Let p = -3\/38 - -14\/57. Are p and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:59 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2587 + 20.6712737?\nAnswer: 20.4125737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -39.215?\nAnswer: -7.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20674500 a multiple of 716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 242180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**22*(t\/(t**31*t*t))\/t*(t**(-9\/7))**(1\/95) assuming t is positive.\nAnswer: t**(-7324\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 18868064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.20084 - -0.2. Round z to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12543 - -143?\nAnswer: -12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 4249206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -47 - 40. Let c = -29 + 45. What is the remainder when f is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7733687 and 1313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 275391*k**3 + 1665*k**2 - 3330*k. Let p(i) = 331*i**3 + 2*i**2 - 4*i. Give -1665*p(a) + 2*x(a).\nAnswer: -333*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -6.\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 41*f - 6. Let k be b(3). Suppose 4*u + 8*h = 3*h + 110, -4*h - k = -5*u. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 16. Let w(l) = -l**2 - 5*l + 4. Let a be w(-5). Suppose x + a = 15. Calculate the smallest common multiple of h(8) and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) -2\/23 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s. Let l(z) = 4*z**2 + 63. What is l(g(k))?\nAnswer: 36*k**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 629*z**2. Let y(c) = c**2. Give a(y(l)).\nAnswer: 629*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1 + (-22)\/16). Let o = z - 8. Let w be (4\/o)\/(1\/2). Solve -k = -w + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324191344 rounded to the nearest one million?\nAnswer: 324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/7, 3\/7, -12\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 23*k + 69. Is r(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.11, 0.2, 0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341482 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.052 - -1.948. Let r be (9\/6)\/(6\/8). Let c be (r\/(-10))\/((-2)\/(-6)). What is the nearest to 0 in x, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-30) - 1386\/(-5). Let m = q - 152. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d - 2. Let g be h(-1). What are the prime factors of (-24)\/((-8)\/2) - g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 8*u**2 - 8*u - 7. Let a be n(9). Let m(o) = -9 + 3 + a*o - 5*o. Let d(r) = 8 + 5*r - r + 1 + 0. Give 5*d(b) + 7*m(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2439255 and -2.881743?\nAnswer: 2439257.881743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -22. Let s = -33.2 + b. Let t = 3.238 + s. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 6*t**2 + 8*t + 25. Let p(m) = m**2 + 2*m + 2. Let h(a) = k(a) - 6*p(a). Is 21 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80062 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u - 67 = -83 + 42 + 81 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*a*d*s*t + 5*a*d*t**3 + 14133*a*d*t**2 + 2*a*t**3 - d*s*t**3 - 157*d*s*t wrt s.\nAnswer: 110*a*d*t - d*t**3 - 157*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.813 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -15*m - 193. Let b be h(-13). Suppose -44 = -6*o - b. Let r(y) = -2*y + 13. Calculate r(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = -3*j, 0 = 2*j + 11 - 9. Let d be ((-4)\/(-1))\/4*y. Suppose -4*x + 6 = -6. Sort x, 10, d, -4.\nAnswer: -4, d, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/34, 0, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/76)\/(-1)*((-38184)\/(-37))\/(-86)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2163 (base 7) to base 2.\nAnswer: 1100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -k - 20, 3*u = 6*u - 5*k - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (0 - 18\/8))*4. Let h = 0.06 + 0.34. Which is the second biggest value? (a) h (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 9. Do z and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 67, 105, 145, 187, 231?\n\"Answer: u**2 + 33*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1050 - 10712*l + 2*l**4 + 1468*l + 5453*l**2 - 14693*l**2 - 2032 - 3076*l**3.\nAnswer: 2*(l - 1541)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 717.025.\nAnswer: -66683.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose -30*b + 27*b + 12 = a. Suppose -8*v + 7*v = 0. Solve 0 = x + c + b, 2 = -3*x - c - v*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c233c (base 16) in base 8?\nAnswer: -3021474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -7*s**4\/24 + s**3 - s**2 - 8. Let z(h) be the second derivative of q(h). Find the first derivative of z(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 236. Let d = 32 - o. What is the remainder when d is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13258, 13290, 13322, 13354, 13386?\nAnswer: 13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 135 = -4*q. Let r be 114\/361 + (-19864)\/(-152) + 9. What is the highest common factor of r and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.94 - -27. What is the third biggest value in -2\/9, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iisisiis?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (9 + 7)) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3046 is divided by 772?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -39*j + 34. Determine u(3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/960 - 1121*m**5\/480 + 9835*m**4\/6 - 19600*m**3\/3 + 451*m**2. Factor p(r).\nAnswer: (r - 560)**2*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165 + -1?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 31 - -14 - 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24240 (base 7) to base 9.\nAnswer: 8570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81.4 + 65. Let d = -16 - t. Let i(m) = 2*m**3 - 21*m**2 - 10*m - 11. Let r be i(11). Which is the closest to 13? (a) r (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 - 3. Let d = 3950 - 3946. Let u(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/6 + c**3\/2 - c**2. Let a be u(d). Give x(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = -p - 13830, -5*s = -2*p - 69153. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 6*v**2 + 3*v + 4. Let s be f(-4). Let t be 3\/(-9) - s\/3. Let w be (-10)\/(-3)*(43 - 4). Calculate the greatest common divisor of t and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976 = -2*t + 280. Let w = -236 - t. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41597255 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -31066.\nAnswer: -4349.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 19 = -5*n, -3*r - 3 = 2*n + n. Let v = n + 17. Calculate the highest common factor of v and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and -1.52663?\nAnswer: 24.52663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.1319477?\nAnswer: 0.5319477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 - 19*x**2 + 25*x**2.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 14*o - 16*o - 70, -3*u = -5*o + 155. Do u and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 - 5*w**4\/24 + 2*w**2. Let h be o(5). What is the closest to -1\/3 in 0.4, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55905 + 55876.413. Round c to one dp.\nAnswer: -28.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 99*v**2\/2 - 43*v + 107. Calculate the remainder when t(2) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9*s = -25, -4*w + 19045 = -3*s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u. Let a be z(-2). Let m = -1 - a. Suppose -n + 30 = m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -1, -1124, 1, 2 in descending order.\nAnswer: 2, 1, -1, -43, -1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**5 + 7*t**5 + 8*t**5 + (t - t - 3*t**3)*(3*t**2 - 3*t**2 - t**2))*(2 + 1 - 1)*(-3 + 3 - 2).\nAnswer: -56*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) + (-1)\/((-24)\/22). Let d = -1\/2 + n. Which is the nearest to d? (a) 0.5 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1368407 - 1368325.5619. Let r = s + -0.0381. Let y = r + -81. Which is the closest to -2\/5? (a) -5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(605) + 0)*-6 + sqrt(605) + -3 + -1)**2 + -4.\nAnswer: 220*sqrt(5) + 15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560760186?\nAnswer: 2, 1187, 657439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -55, -127, -239, -397, -607?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.91*-277.\nAnswer: 4130.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 2\/11?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 3 (c) 1\/2 (d) -464 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o - 84 = 0. Let s = o + 113\/4. Suppose 0 = 4*h - 2 - 2. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2529 + 18805?\nAnswer: 18805.2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334374751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 702 + 635?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -210, -492, -892, -1410, -2046?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 94. Let d be h(-19). Let x = 7 - d. Solve 17*v - x = 22*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-731))\/((-12)\/459).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**5\/60 + 188*m**3\/3 - 181. Let c(v) be the third derivative of q(v). Let u(a) = -3*a. Determine c(u(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*c + 35 = 45, 22 = 5*q + c. Let g(u) = u**3 - 5*u**2 + 4*u - 3. Give g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/(-24))\/(16\/48)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.264566 * 1.\nAnswer: -0.264566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f + 922. Suppose -459*z - 10 = -f*z. Solve -4*w + z = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*z**3 - 990*z**3 - 465*z**3 - 697*z**3.\nAnswer: -1873*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96328*u + 96654*u - 16300 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 14787.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 178*d**2 - d. What is the tens digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3225 - 813. Let h = m + -1705. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -305956 rounded to the nearest 1000?\nAnswer: -306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500 (base 9) to base 3.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 + 86*w**2 - 28*w**2 - 18*w**2 - 19*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -12*g**3 + 5*g**4 + 14*g**2 - 4\/5*g**5 - 29 - 8*g. Factor i(f).\nAnswer: -4*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -74836577.\nAnswer: -4\/74836577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5873 and 252875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -4*d + o, 0 = -5*d - 5*o + 40. Calculate the least common multiple of 20 and 21 - (4 + (-4 + 1)\/d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89*i**2 - 17496*i - 16324858?\nAnswer: 178*i - 17496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 8) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*z = -10, 10*l + 2*z + 49695169 = 49695199 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601779.\nAnswer: 3, 29, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5*sqrt(65)*1)\/sqrt(5) + (sqrt(143)*-1*6)\/sqrt(11) + -3)**2.\nAnswer: 18 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 6*v + 1. Let h(t) = -13*t - 4. Let p be h(-3). Suppose 2*l - p = -3*l. What are the prime factors of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1803*a - 7451 - 3653 = -2248 + 12780. Let s be (-1 - 1*116) + 1. Let y = -74 - s. Calculate the smallest common multiple of a and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 25. Suppose 3*l - 14 = -0*q - q, -4*l + 4*q - 8 = 0. Solve -k*h + 13 = -4*d + 45, 5*h + 29 = l*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.207 - 0.883. Round i to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*k + 77 = 322*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1 + -2 + (2 - 3 - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -9821, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 57 + 98 = 65. Let m = -54 + 48. What is the second biggest value in -1\/4, i, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 28*p**3 - 881*p**2 + 571*p. Let t(h) = -15*h**3 + 441*h**2 - 285*h. Let j(r) = 3*f(r) + 5*t(r). Factor j(u).\nAnswer: 3*u*(u - 48)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 432 - 4?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1618?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34795 by -6959.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**4\/24 - 115*x**3\/6 - 893*x**2. Let l(j) be the third derivative of -j**5\/30 - j**2. Determine u(l(g)).\nAnswer: 2*g**2 - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 16*x + 66. Let m be b(8). Solve -3*w - 3*v = m*v - 27, 2*w - 3*v + 1 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from uxaxxxxaxuauxaxxu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.2 (c) -0.3 (d) 17907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 41, 7 in descending order.\nAnswer: 41, 10, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9\/5)*t**(-6)*t**0*t*t*t*(t\/(t**(-4\/15)*t)*t)\/t assuming t is positive.\nAnswer: t**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10 + 4*i - 4*i**2 - 5 + 11. Let x(s) = s**2 - s + 1. What is m(a) + 3*x(a)?\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 4.2\nAnswer: 113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11734 - -29?\nAnswer: -11705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**2 + 138*y**4 - y**3 - 141*y**4 + y**3 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3\/((-6)\/(-34)). Suppose 12*v - q*v = 7. Let z(a) = -8570*a**2 + 9*a - 7. Let w be z(v). What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z**2 - z + z + 4*z**3 + 1807 - 257.\nAnswer: 4*z**3 + 60*z**2 + 1550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -12, -4*b + 5*o + 133 = -131. Suppose b*s = 64*s - 48. Solve t - s = 9*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5902, -11802, -17702, -23602, -29502?\nAnswer: -35402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 1. Let p(q) = 6*q**3 + 6*q**2 - 6*q - 6. Determine -6*k(n) + p(n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49ee42 (base 15) to base 4.\nAnswer: 31201020203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 25 = 0. Suppose -y + c = -2, 4*y - 44 = -0*y - d*c. What is the smallest common multiple of 1\/4*8\/2*1 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*q + 10, 4*i + 13 + 7 = 0. Let j(x) be the first derivative of 12*x**2 + 8. Let c be j(q). What is the highest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 4*b**5\/5 - 39*b**4\/2 + 1385*b**2 - 1847. Find the second derivative of c(a) wrt a.\nAnswer: 48*a**2 - 468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 37685?\nAnswer: -37665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 22 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8)*2 - -5. Put y, 5, -2 in descending order.\nAnswer: 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 divided by 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532.93 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -3\/2*f**4 + 0*f - 18*f**2 + 0*f**3 + 0 - 2\/5*f**5. Find the second derivative of r(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4, -2324 = -0*m - m - 5*v. Let r = -845 + m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**6\/120 + o**5\/30 - o**4\/6 - 3*o**2\/2 - 1. Let t(q) be the second derivative of u(q). Let l = 7 - 10. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772724?\nAnswer: 2, 193181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -115, -302, -2 in ascending order.\nAnswer: -302, -115, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.666350255 to two dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38\/103 or 0?\nAnswer: 38\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.0627597\nAnswer: -0.0627597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23151 (base 11) in base 14?\nAnswer: c296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/3)*l)\/(l**(-3\/8)\/l))\/(l**(2\/3))**(6\/31))**(-3\/19) assuming l is positive.\nAnswer: l**(-2663\/4712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -7 (b) -2\/17 (c) 8 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19539 is divided by 3903.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 119932.38 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let l be 288\/(-30) + 4\/(-10). Let s = -7 - l. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:04 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.06. Which is the smallest value? (a) p (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4329)\/(-52) - -14)\/((-1)\/(-4)). Is 14 + q - (-6 - 1) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20609*l**5 + 2*l**2 - 13486*l wrt l.\nAnswer: 1236540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1855505089, 3711010179, 5566515269?\n\"Answer: 1855505090*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 - 223. Let b be 1*(i - (2 + 0 + -2)). What is the third biggest value in -5, b, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1504 and 20398?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 3*l**2 + 4*l**2 + l**2. Let g(i) = -6*i. Give d(g(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000926228389 to 7 dps.\nAnswer: -0.0009262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/406 and -115\/129514.\nAnswer: 129514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.039139 decades?\nAnswer: 0.9039139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4089, -4085, -4081?\n\"Answer: 4*r - 4093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 346*x - 7. Is p(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 + 17101 - 17101.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*s + 280 = 445*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 1. Give s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/5 - 3*f + 16\/5 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/80)\/(8\/60). Let g = p - 5\/48. Which is the biggest value? (a) -3 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + ((-141560)\/(-5240) - -15)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -265, -399, -533?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.98739l?\nAnswer: 21987.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21111 + 22?\nAnswer: 21133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-3) + -1*(-5 - -7). Let d be a\/(-4)*1\/(-1). Let k = 2.5 - 0.5. What is the third smallest value in k, -0.4, 14, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138228, 278568, 418908, 559248, 699588?\nAnswer: 839928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*r + 2626 = -4124 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(0 + 3 - 1)*(0 + d + 0).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*3\/6 - (-17 + 20). Let q = 6222\/11 - 566. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 6 - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6287.2028 to the nearest 10.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120506969 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = u - 302, -5*j + 389 = -5*u - 101. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41902?\nAnswer: 2, 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290232 is divided by 20556?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = k + 43. What is the second biggest value in 0.18, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g + 2. Let a(m) = 495*m + 77. Let o be 2\/16 - (11070\/16)\/(-9). Let q(y) = o*u(y) - 2*a(y). Let p(z) = 3*z**2. Give q(p(b)).\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + (3 - -2). Let k be (-3 - (-8)\/m) + 1. Suppose -8*q + 3*q + 125 = k. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 5*q - 83 + 0*q + 30*q - q - 7*q to i + m*q + x*q**2 and give i.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.03, -5, 2\/13, -0.7, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 1. Let r(y) be the third derivative of -y**5\/60 - y**4\/12 - y**3\/3 + 33*y**2. Let p(f) = 5*f**2 + 7*f + 15. Let o(g) = -p(g) - 6*r(g). Give o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 4*y**2 - 4*y + 9. Let u be m(5). Let n(o) = 11*o**2 - u*o**2 - 4*o + o**2 - 5 - o. Let f(t) = -t**2 - 3*t - 3. What is -5*f(s) + 3*n(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*d + 1224 - 4214 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*l + 8*l**2 - 2\/5*l**5 - 128\/5 - 10*l**3 - 4*l**4.\nAnswer: -2*(l - 1)**2*(l + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let o(a) = -137723*a. Calculate b(o(w)).\nAnswer: 413169*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -1653, -5639, -13407, -26217, -45329?\nAnswer: -72003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -420*f**2*x*y - 24*f**2*x - 2*f*x + 3*f*y - 6268*f wrt f.\nAnswer: -840*x*y - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6327, 6293, 6243, 6171, 6071, 5937, 5763?\nAnswer: 5543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k - 66176 + 510032. Round k to the nearest one hundred.\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, and 1 n when three letters picked without replacement from {o: 1, n: 1, y: 1, k: 1, c: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + 3*f)*(574 + 249 - 1926 - 1546 - 1268).\nAnswer: -11751*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 8, u: 4, y: 8}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l - 17. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -40. Which is the fourth biggest value? (a) 0.2 (b) 2\/9 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 105. Let v be (-4)\/(-10) + y\/45. Suppose 4*p + v*p + p = 0. Solve -3*n + 13 = -p*n + 5*w, -8 = -3*n - 4*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2\/5, -1\/3, 0, 2 in decreasing order.\nAnswer: 2, 0, -1\/3, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1369572520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y**3 + 2*y**2 - 2*y + 5. Let u be o(-4). Suppose -603 = -3*q + 3*f, -q + 6*q - f - u = 0. Let v = q - 115. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -21. Factor -y**p + 5*y**4 - 3*y**4 + 3*y**3 + 0*y**4.\nAnswer: 2*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/16? (a) -0.4 (b) -172 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*w**2 - 643*w**2 + 278*w**2 - 636*w**2 + 30*w**2 to b + g*w**2 + a*w and give g.\nAnswer: -1203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-5*(1 - 0). Suppose 2*n + t*p = 25, 4*p - 6 = -2. Let a(h) = h**3 - 4*h**2 + h. Let r be a(5). Calculate the greatest common factor of n and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129459?\nAnswer: 3, 11, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 130. Let y = -90 - z. Let n = -6 - y. Which is the smallest value? (a) 3\/5 (b) n (c) -15\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81113 smaller than -81038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.24, 2\/5, -4091, -7\/6, -2\/9?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.3 (b) 3\/2 (c) 0.04 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 22 - -13 - -17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -6, -9, 19, 12, 4 in decreasing order.\nAnswer: 19, 12, 4, 3, 0, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 423 + -248. Suppose 6*g - g = n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-255)\/50 - -5) + -5 + (-903)\/70. Which is the closest to l? (a) -3 (b) 0 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*f + 2172 = 18244. What is the highest common factor of f and 11032?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (-7 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 123. Suppose 0 = -l*a - v + 50, -2*a - 10 = -3*a + 5*v. What is the remainder when 59 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/4 - 41*s**3\/6 + 5*s**2\/2 - 9333*s. Let y(f) = f**2 - 21*f + 2. What is -3*i(m) + 7*y(m)?\nAnswer: -2*m**2 - 24*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1721*i + i**2 - 1682*i + i**3 + 3402*i. Let v(m) = 12*m**3 - 6*m**2 + 6*m. Give 6*t(d) + v(d).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211310323 (base 4) in base 16?\nAnswer: e5d3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538392 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -867 - -890. Solve -3*k + 7 = -r - 3*r, 3*k - b = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 + 0 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 16*z. Let p = 7 - 6. What is the units digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3973 divided by -6\nAnswer: 3973\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 2*o - 3*o + 5. Let u be 248\/(-217) - (-473)\/77. What is m(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.4118 litres to millilitres.\nAnswer: 13411.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 212027250 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -2930\nAnswer: -87\/2930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3 + 6 - 8 - -3) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b - 1. Let z(f) = -4*f**2 - 20*f + 10. Let p(u) = 6*q(u) - z(u). Let r be p(6). Sort 3, r, 4, -5 in descending order.\nAnswer: 4, 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -27446652?\nAnswer: 27446625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 676272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/(-13)) + 12*(-21)\/84.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 41. Let u(i) = 2*i**2 - 411*i. Give j(u(n)).\nAnswer: -2*n**2 + 411*n - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 76\/(-7581)*(-10283)\/26.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 25*f - 14. Let d be m(-23). Let u be 10\/45 + d\/27. What is the units digit of (84 - -1) + u + (-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 468 - 72. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-105)\/(-24)) - 2682700\/(-973). What is the greatest common divisor of o and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 612693 by -32247.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -u - u, 4*b - 4*u = -40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 48, 79, 122?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6666*r**3 + 2*r + 1 + 2 + 0*r + 0 - 3*r**2. Let t be b(3). Round t to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*d - 14681, -5*d - o = -11020 - 7295. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68442?\nAnswer: 2, 3, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 2\/7, -0.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 28 - 136 = 0. Let x = -26 + b. Suppose 7 = 4*f - 9. What is the remainder when x is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 5*y + 8*y + 0*y + y + 2*y + (-1 - 3 + 2)*(-2*y + 4*y + 0*y) - 6*y + y + 3*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102121110 (base 3) to base 12.\nAnswer: 14356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5979?\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 16*z + 15. Suppose 0 = 2*l - 65 - 39. Suppose -l*h + 56 = -48*h. Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27101 + 81302\/3. What is the fourth biggest value in -2\/7, -98\/3, -0.3, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24810897?\nAnswer: 3, 8270299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 533.3 - 533. Let g = -0.05 - -0.45. Let t = g - o. Which is the biggest value? (a) -2\/21 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*u, 3*o + 291*u - 21 = 287*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 122 in decreasing order.\nAnswer: 122, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)*z*z**(-1\/3)*z**(-1\/4)*(z*z**(-7))\/z assuming z is positive.\nAnswer: z**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1496 + -1496. Which is the closest to 0? (a) -0.1 (b) 1\/3 (c) m (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.087 (c) -3 (d) -345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 9*i**2 + 11*i - 38. What are the prime factors of s(-18)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4*r**3 + 2*r - 1. Is z(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8 - 2*z + 6*z + z. Let f(b) be the second derivative of -b**3\/3 + 3*b**2\/2 - 11*b. Give 11*f(t) + 4*l(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 16 = 6*u - u, n + 12 = 3*u. Suppose 51 + 29 = 8*h. Calculate the highest common divisor of u and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 631 = -3524. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47770)\/3372*(-6)\/68*(-54)\/15.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358563395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**2 + 224*v - 874. Give b(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c53159 (base 14) to base 4.\nAnswer: 121120220023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8143, -8144, -8145, -8146, -8147?\n\"Answer: -m - 8142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -934, -1688, -2430, -3154, -3854, -4524, -5158?\nAnswer: -5750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*b**3 - 465*b**3 + 995*b**3.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/224 and 23\/2058658.\nAnswer: 32938528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1228010287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*d - 4, -4*a + 2*d + 36 = 14. Let z be (3\/(-6))\/(a\/(-24)). Solve -8*q = -z*q + 5*x, 0 = -2*q - 3*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 848758*w**2\/5 - 90049192198*w\/5 - 90048343442\/5.\nAnswer: -2*(w + 1)*(w + 212189)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036500574 less than -1036500574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 2*g)*(0 + g + 0) + 19*g**2 + 0*g**2 - 9*g**2 - 2*g**2 + 5*g**2 - 5*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = h + 55599*n - 55598*n, 5*n + 52 = -2*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64249 is divided by 64246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 3 (c) -1\/6 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*i + 4 - 5 + 260*i in the form u*i + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 0?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -16. Suppose l - 23 = 3*z, 5*l = 4*z - 6*z + 200. Suppose 3*j = -5 + l. What is the remainder when a is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1832581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27720 divided by 792.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44630 by 15.\nAnswer: 8926\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1027193 and -10295.\nAnswer: -1037488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12014, 11922, 11768, 11552, 11274?\n\"Answer: -31*m**2 + m + 12044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*c**2 + c + c - 2*c - 491*c**2 to the form h + m*c + y*c**2 and give y.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, 52, 1.\nAnswer: -4, -2, 1, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8449.\nAnswer: 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from mddddmdmdmmmdmmmdd?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(1008) + (sqrt(1008) - (2*sqrt(1008) + sqrt(1008)))))*1)**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73a19 (base 13) in base 11?\nAnswer: 1324a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-168)\/28)\/(2*6\/(-8)). Let s(j) = 3*j**3 - 23*j**2 - 9. Let o(u) = -u**3 + 11*u**2 + 4. Give r*s(x) + 9*o(x).\nAnswer: 3*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 123 times 4842\nAnswer: 595566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/24 + 38\/12. Solve 5*r = i*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waz. What is prob of sequence wz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*u**3 - 8*u + 3*u + 5*u + 63*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = o + 117. Suppose -5*s + 15 = -o. Suppose -y + 33 = 2*q - 0*y, 3*q - s = 2*y. What is the remainder when 74 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhvhhhhvhh. What is prob of picking 1 v and 3 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 5*a + 17*a)*(-3 - 2 + 6)*(-11*a - 15*a - 9*a).\nAnswer: -385*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 25, 29, 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1390011888 to four decimal places.\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:06 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/5 - 5116*v\/5 - 4096 = 0.\nAnswer: -4, 5120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220 - 151603?\nAnswer: -152023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6159.2 - 6159. Which is the closest to -18? (a) -6 (b) j (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:31 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3\/3 - i**2\/2 - 2*i - 10. Determine p so that k(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 + 2462 + 2451 - 4913 + 7*z**2 + 10*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 163944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2736 + -2736.1. What is the fifth biggest value in -4, -3\/2, -1\/4, -0.401, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 - 18*x + 11. Let j(f) = -f**2 - f. Let h(d) = -b(d) + 6*j(d). Let t be h(10). Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15 + 91\/((-42)\/(-6)). Let s(k) = k**2. Let y(v) be the third derivative of v**5\/60 - v**2. Calculate n*y(z) + 3*s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (1 + -19 + (-8 - -40) + -28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-9)\/(-108)*-213 - -18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10383, 41707, 93969, 167169, 261307, 376383?\n\"Answer: 10469*x**2 - 83*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5091 + -5052. Solve 3*q - 8 = -4*a, 4 = n*a - 37*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 2*g - 0*g + 10*x, -x - 6 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -449460 (base 12) in base 14?\nAnswer: -206c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3761, -2731, -1013, 1393?\n\"Answer: 344*y**2 - 2*y - 4103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1)\/((-40)\/540)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.13395s in minutes?\nAnswer: 3.2022325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63440 divided by -61?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 5, z: 7, d: 2, r: 3, i: 1}. Give prob of picking 1 d, 2 z, and 1 h.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181995.\nAnswer: 3, 5, 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180) + sqrt(180))\/((sqrt(54)\/sqrt(3))\/sqrt(2)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + w - 3*w + 18 - 5*w + 0*w as x*w + t and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -3 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:55 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2806 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 413 (base 6) to base 9\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7442, 14956, 22348, 29558, 36526?\nAnswer: 43192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(-3*(-5)\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 4 - -2) + (95 - (57 + -58)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 d, and 1 c when four letters picked without replacement from ciciiidvd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*m + 5252 = -114*m. Let t = m + -316432\/241. Is t >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -19, -1617, 1, -3 in descending order.\nAnswer: 1, -3, -8, -19, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 464250020 divided by 189955\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**2 - 30230 - 2*t**3 + 0*t**4 + t**4 + 30240 + 3*t**3 to o*t**3 + d + a*t + j*t**4 + f*t**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 9465986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from koojmodnknkokko.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/2 + 30435*m - 1336236 = 0.\nAnswer: 44, 20246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.97 - 0.03. Let h = 0.06 - -0.94. Which is the nearest to p? (a) h (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524362317 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**3\/3 - 7*p**2\/2 + p - 1. Let c = -22 - -27. List the prime factors of t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2318\/76)\/61*(-5)\/6\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20*b - 35. Let p be m(-2). What is the second biggest value in p, 30, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 + q + 4. Let l be t(3). What is the units digit of (-2*1 - 4)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 293*z - 151*z + 413*z.\nAnswer: 555*z + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 7, 14, 35, 76, 143, 242?\n\"Answer: d**3 - 2*d**2 - 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 + 12*y - 17. Give a(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71\/12 - 17\/3. Let l(f) = 2*f - 16 - f - 2*f. Let m be l(-7). Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(588\/273 - (-4)\/(-26))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-6) - (385\/(-1281) - (-18)\/(-549))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 0.5 (c) 1.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 21, 50*o + n = 49*o + 4*n - 21 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5 + 50*i**4 + 44524*i**3 - 5299784*i**2 + 169938528*i - 597818880 = 0?\nAnswer: -240, 4, 62, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - 1*sqrt(1088)*6 - sqrt(1088) - (sqrt(1088) + -1 + -5) - (-4 + -4 + sqrt(1088)*-1 + sqrt(1088))*-1)*-2)**2.\nAnswer: 896*sqrt(17) + 213264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i**3 + 10*i**2 - 3*i + 39. Let n(s) = 15*s**3 + 13*s**2 - 4*s + 37. Give 3*n(l) - 4*y(l).\nAnswer: -11*l**3 - l**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -163, 4, 3, -17, -1237, -2 in descending order.\nAnswer: 4, 3, -2, -3, -17, -163, -1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 516 + -1373?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30 + -27)*4\/3. Let o(z) = 3*z. Let s be o(2). Solve -a = -t*a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaaaaaaeaeaaeeeaaa. What is prob of sequence ea?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 47 = -56. Solve -k*n = 4*s + 3, 3*n + 5*s - 2*s = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120)\/sqrt(5) + (-1*sqrt(168) - sqrt(168))\/sqrt(7))\/(sqrt(200)*-2 + sqrt(8) + (sqrt(8) - (sqrt(24)\/sqrt(3) + sqrt(8) - sqrt(8))*6)).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50871, -52003, -53135, -54267, -55399, -56531?\nAnswer: -57663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23265*u + 7748*u + 7753*u + 7751*u + 9.\nAnswer: -13*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:58 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:26 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75419994833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2025 and 926910.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 12*w - 980. Suppose -2*v = 2*v - w. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 greater than or equal to 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + (-5629)\/624)*(-2)\/(-60). Let m = 4679\/1440 - p. Factor 0 - 1\/4*a**2 - m*a**4 - 3\/2*a**5 - 2*a**3 + 0*a.\nAnswer: -a**2*(a + 1)**2*(6*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 703*m**3 - 7*m + 7. Let z(a) = 234*a**3 - 2*a + 2. Give 4*n(x) - 14*z(x).\nAnswer: -464*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 12*y + 7. Determine r(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -168 - -16?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -30. Calculate the least common multiple of 14 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y - 3*t - 42, -18 = -6*y + 8*y + 2*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -25. Suppose 0 = 2*f + 6*f - l. Factor 0*b - 1\/4*b**f + 1\/4*b**5 + 0 + 1\/4*b**2 - 1\/4*b**3.\nAnswer: b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - 78\/(-210). Suppose 3*n - 1 = -5*f, -4*f + 14 = -6*n + 4*n. Factor -s + f*m**2 + 10\/7*m.\nAnswer: 2*(m + 1)*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41140 and 2178.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -2\/5 (c) 2.2 (d) 9\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18265 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p. Let g(s) = -501*s**3 + 6513*s**2 + 6513*s. Calculate 6*g(j) + 39078*n(j).\nAnswer: -3006*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -14, -3, -2, 0, -0.5, 4\/5, -42\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 > 36455\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-72) + (-47)\/(-9). Suppose -75 = -t*j + 4*r, -3*j + 4*r = j - 64. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.852679*-29\nAnswer: 53.727691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/8 - 2\/((-112)\/13). What is the nearest to -0.1 in -1, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581, -2581, -2579, -2575?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 6. Let m be o(-3). Suppose l - 5 = -m. Let r(u) = -l*u**2 + 5*u**2 - 2*u**2. Let y(d) = 2*d**2. What is r(y(t))?\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*p**3 - 13319632032 + 13319632032 - 2*p + 2*p.\nAnswer: -535*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81563952*g**2 - 831515*g + 8.\nAnswer: 163127904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p + 2. Suppose -3 = k - 4, j = k + 13. Suppose v + v - 2 = -f, j = 3*v - 4*f. Which is the third biggest value? (a) -0.3 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 268*t - 43. Let x(v) = -135*v + 20. Let b(d) = 6*k(d) + 13*x(d). Is b(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5282 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114669 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -140014 > -140044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*h + 3 - 43*h - 4252*h + 762*h - 1.\nAnswer: -4240*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**3 + 169481*n - 169481*n.\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bxbbljxlbblblldbbllu.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/14, -186, -2, 0.037, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -13169.\nAnswer: -6\/13169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2)*j)**(31\/4)*(j**(2\/5)\/j)**(-12\/11))**(1\/6))**(-12) assuming j is positive.\nAnswer: j**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346917 and 365829?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 928 = -20*r + 5*w, -4*w = -16. What are the prime factors of r?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s**3 + 3*s + 3. Let l(u) = 21*u**3 - 7*u - 7. Let f be (1 + 0)*28*(-99)\/924. Let a be (-1 + -7)\/1 - -1. Determine a*d(n) + f*l(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282909 or -282910?\nAnswer: -282910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-12) + 11)*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30814.15 litres to millilitres.\nAnswer: 30814150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -203*m + 2453. Calculate s(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*n**4 + 3*n**2 - 199*n - 3?\nAnswer: -1500*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55363 and 137742?\nAnswer: 693255486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 485707.8 millilitres?\nAnswer: 485.7078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 40. Let w be (60\/14)\/(9\/42). What is the greatest common divisor of w and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1. Let s = -59\/217 + 4\/31. Let o = -4.91 + -0.09. Which is the nearest to 4? (a) v (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10608, -21190, -31772, -42354, -52936, -63518?\n\"Answer: -10582*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/5040 + j**6\/40 - j**5\/4 + 34*j**2. Let k(x) be the third derivative of t(x). Differentiate k(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 26*y**2 - 101*y + 118. What is q(16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1128 and 14?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.459 - 0.041. What is the third biggest value in -1, 0, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 5*q + 1. Let r(u) = u**2 + 2*u + 3. Suppose 4*m + 12 = 2*m. Let s be r(m). Suppose 4*b + 9 = -5*v, s = -3*b + b + 5*v. What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 59 = 0. Let f = y + 59. Solve z - 1 - 1 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/((m**(-6)\/m)\/m)))\/(m\/(m*m\/(m\/(m**(1\/2)\/m))))*m**(-1\/7)\/m*(m*m\/m**(-2\/5))\/m assuming m is positive.\nAnswer: m**(-647\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.424.\nAnswer: -0.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(242)*-2)**2 + 2.\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 - 102*l**4 - 171*l**3 + 660*l**2 - 384*l = 0.\nAnswer: -32, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 2*i = -10, -5 = -5*o + 5*i. Suppose -2*x = -0*x + 4*n - 98, -3*n = o. Suppose -3*h + x + 12 = 0. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(475)*-1*5 - (6*(1 + sqrt(475)) + sqrt(475)))*-5)**2.\nAnswer: 450000*sqrt(19) + 42772500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 739*n - 770*n + 19747. Calculate the smallest common multiple of 882 and n.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-26) - ((-1)\/(1\/7))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = r + 5*u, -23 = -r + 3*u + 90. What is the smallest common multiple of r and 99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047494090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r - 15*r + 7*r.\nAnswer: 65*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Suppose t*s + 11 = 26. Let o(j) = 2*j**2 + 12*j + 20. Let w be o(-4). Which is the closest to 0.2? (a) -0.3 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*g + 41 + 10, 2*c + 105 = 3*g. Let s be (1\/(-3))\/(2\/c). Let k(v) = 2*v + 11. What is the remainder when k(s) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 115*i = 0. Calculate i.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11 - (-591118)\/39600 - 26 and -187\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499340?\nAnswer: 2, 5, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*t - 96. Let y = -16 - t. Let c(b) = 7*b**2 + b + 8. Is 38 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490560281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35.1 - -600\nAnswer: 564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624539 to the power of 1\/2, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 576?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 190\/30)\/(1\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Suppose 14*w - 10*w - 36 = 0. Suppose -6*m + 15 = -w. Solve 0*t = -m*t + s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from gadggagjgggaajsaag?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15724a1 (base 14) to base 9.\nAnswer: -21664028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310.2 - 310. Which is the second smallest value? (a) h (b) 3\/7 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.32082 litres in millilitres?\nAnswer: 81320.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**5 + p**3 - p**2 + 1. Let z(x) = 2*x**5 + 5*x**3 - 3*x**2 - x + 3. Let s(r) = -3*q(r) + z(r). Factor s(j).\nAnswer: -j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + (-36 - -34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25672361?\nAnswer: 11, 13, 179527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 20. Suppose 3*y - w*j = 2034, 3*y + 5*j - 2249 + 175 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 80. Let p = -37 + t. Solve 3*b + p = -2*y + 9, -21 = 2*y - 3*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05868261 and -11.3.\nAnswer: 0.663113493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from mskzpup.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 2:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 946 - 271. What is the greatest common factor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(20)\/sqrt(4)) + (sqrt(13) - (-2 + sqrt(832)))**2.\nAnswer: -27*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2*c = -3*n + 6, c = 5*n - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 549 - 329 = 0. Calculate the greatest common factor of 440 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*y - 5*p + 16, -14 = 2*y - 4*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24)*(-108)\/2. What is the tens digit of (3\/(-2))\/((-1)\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2. Let a(t) = 3*t**2 + 2*t - 2. Let y(l) = 16*l**2 + 11*l - 11. Let m(q) = -22*a(q) + 4*y(q). Determine u(m(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -24*g**2 + 2*g + 1. Let x(c) = 23*c**2 - 229*c + 3. What is -q(a) - x(a)?\nAnswer: a**2 + 227*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*a + 33*a + 35*a + 28*a + 55.\nAnswer: a + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let j be h(-2). Suppose 567 = -3*p + 6*p. Suppose -4*l - 3*c - j*c + 143 = 0, -5*l + p = -4*c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23358 and 459?\nAnswer: 210222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 110*p + 108*p - 317*p + 102*p. Let g(k) = -9*k**2 + 5*k + 5. Let s(f) = 5*f**2 - 3*f - 3. Let d(h) = 3*g(h) + 5*s(h). Calculate d(a(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 0.03021?\nAnswer: 0.0021147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22*m. Let g(r) = 63*r**2. What is o(g(b))?\nAnswer: -1386*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 0.148.\nAnswer: 1.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 + 2*d - 141. What is the thousands digit of j(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {m: 1, w: 1, s: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5986731 to the nearest integer?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6031*x**2 + 118200*x wrt x?\nAnswer: 12062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c. Let z(b) = 23*b + 22. Let r(l) = -6*l - 6. Let f(k) = 22*r(k) + 6*z(k). Give -6*f(v) + 14*y(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/(-759)*23*(0 + (-3363573)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823470456 to the nearest integer?\nAnswer: 28696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 25, 4*n + 3*l = 27. Let m be ((-4)\/(-6))\/(11\/66*12). Factor 0 + 0*d - 1\/3*d**n + m*d**2 - 2\/3*d**4.\nAnswer: -d**2*(d + 1)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/500?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l - 14 = 9, -5*p - 3*l + 57 = 0. Let n(j) = j**3 - 10*j**2 + 12*j - 13. What is the units digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -221. Suppose s*o - 122*o = 12. Solve 10*a - o*a + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 32 = -4*v, 4*v + 9261 = -7*t + 9213 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.541 + 0.788. Let q = -24.647 + z. What is q rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3835956000 rounded to the nearest 1000000?\nAnswer: -3836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42617, 0.3, -6, 3\/7 in decreasing order.\nAnswer: 42617, 3\/7, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9855692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g + 14*g**2 - 3820*g**3 + 7641*g**3 - 3820*g**3 - 2*g - 11 as i*g**3 + m + x*g + r*g**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(84)*1 + sqrt(84) - sqrt(84)))\/(-1*sqrt(576)))\/((sqrt(616)\/(2*sqrt(11)))\/(sqrt(8) - ((2*sqrt(8) - sqrt(8))*5 + sqrt(8) - sqrt(8)))).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - a + 14 - 48 = 0. Put 2, a, 22, -70 in decreasing order.\nAnswer: 22, 2, a, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 930 + 1026 = -63*k - 1060 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 10 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413053319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 121711*y**2 + 121710*y**2 - 2*y**3 - 1 + 151*y**3 in the form b*y**3 + g + o*y**2 + u*y and give b.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 245448857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**5 - 7*k**4 - 7*k**3 - 9*k**2. Let o(s) = s**5 - 2*s**4 - 2*s**3 - 3*s**2. Let m(a) = -2*j(a) + 7*o(a). Find the third derivative of m(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = -6. Suppose -2*u + 7*u = -270. Let d = f - u. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782295 at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2276, 8576, 19092, 33836, 52820?\n\"Answer: 2*a**3 + 2096*a**2 - 2*a + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25*w**2 + w. Let q(t) = -187463*t. Calculate m(q(f)).\nAnswer: 878559409225*f**2 - 187463*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1. Let j = 1.7 - q. Let o = -2005 + 2005.2. Sort j, -0.1, o, 0.3 in decreasing order.\nAnswer: j, 0.3, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 36, 49, 62?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*sqrt(2) + (3 + sqrt(2))**2 + -1 - ((sqrt(896) + sqrt(896)*2)\/(3*2*sqrt(7)))**2.\nAnswer: -22 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 - 4 + 17*x - 4*x**3 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -x + 19. Let o(d) = d**3 - 10*d**2 + 9*d + 20. Let z be o(9). Find the second derivative of -13*p**2 - z*p - x + 2 wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*s**2 + 849*r**3*s - 8*r**2*s**2 + 59*r*s**2 - 156*s wrt r?\nAnswer: -6*r*s**2 + 5094*r*s - 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-672)*(-100)\/(-275)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -3. Let h be (-2)\/(-5) + (-749)\/g. Let z = 33 + h. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -9488.\nAnswer: -21822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1789 - 1733) + (-33 - -3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 at most as big as -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 r when three letters picked without replacement from rcxkckcrxkxrkccrj.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 37632?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o**3 + o + (-87 + o**3 + 87)*(-4 + 2 + 4).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4882488 and -17\/13426842.\nAnswer: 53707368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k + 0)*(-2*k**2 - k**3 + 2*k**2) + 4*k**4 - k**4 - 4*k**4 - 4*k**4 + 21*k**4 + 3*k**4.\nAnswer: 17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19450 + -758617\/39. Let k = l + 11\/6. Let q = -4 - -3. Is q equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (145 - 3)*(-7 - (-135)\/18) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032023023 (base 4) in base 2?\nAnswer: 1001110001011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 2, u: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2 + p - 3. Let f be i(-5). Let k = -11 - f. Calculate the remainder when 11 is divided by -2 - (-15)\/3 - k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99426501256201.5999989 + 99426492898700. Let g = 8357499 + d. Let b = g + 2.6. Round b to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 130)*((-7)\/(-7) - 0). What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t + 5*n, 0 = -3*n + 4 - 1. Which is the nearest to -1\/3? (a) 3 (b) t (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 729*i + 9726. Let x be p(-7). Is 4623 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*p - 2*p. Let c(n) = 8 + n + 6 + p*n + n**3 - 15 + 7*n**2. Determine c(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 3808*t**4 + 5*t**2 + 3807*t**4 - 1 + 10*t to u*t**2 + d*t**3 + j*t + c + n*t**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 1565279 = -5*l + 12*c, l - 4*c = 313045. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -116170, -232837, -349504, -466171, -582838?\n\"Answer: -116667*c + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4015976 - 2*n**2 - n**2 - 2*n**2 + 6*n**2.\nAnswer: n**2 + 4015976","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3012, 12057, 27132, 48237, 75372, 108537, 147732?\n\"Answer: 3015*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.8452 meters to nanometers.\nAnswer: 923845200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390042.\nAnswer: 2, 3, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -332?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*n**5 + 3472*n**4 + 4674*n**3 + 2122*n**2 + 320*n = 0.\nAnswer: -32, -1\/2, -5\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 + 23?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 2*t - 1. Let h(p) = p**3 - 15*p**2 - p + 17. Let i be h(15). What are the prime factors of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 1, 4\/1457, -0.04 in descending order.\nAnswer: 1, 4\/1457, 0, -0.04, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(512) - (-1*sqrt(512) - sqrt(512))))**2 + (sqrt(162) - -2*sqrt(162))**2 + (sqrt(128) + sqrt(8))\/sqrt(4))*2.\nAnswer: -566*sqrt(2) + 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03066169 rounded to 4 dps?\nAnswer: 0.0307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-2))\/((-9)\/45). Let a be 8\/5 + (-14)\/q. Find the common denominator of (4\/a)\/(24\/106) and 65\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/6 + 2\/6. Let w = y + 19. Solve -2*u = 6*b - b - w, -u + 3*b - 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38471 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 3. Let u = 1259 - 1254. Suppose u + g = c. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7742 is divided by 167.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90268219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let m(y) be the first derivative of -7*y**2 - y + 161. What is n(m(j))?\nAnswer: 14*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*m + 56*m - 200*m - 13*m**3 + 276*m**3.\nAnswer: 263*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 5*w - 5. Let s(i) = -2*i**2 - 3*i + 3. Let y(q) = -6*r(q) - 10*s(q). Let f(b) = 37*b. What is f(y(c))?\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200130 - -100?\nAnswer: -2200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15423*a*u**3 + 5*u**3 - 651 wrt a.\nAnswer: 15423*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218456 is divided by 261?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 21*o - 10. Sort -5, o, -3 in decreasing order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6f58 (base 16) to base 12\nAnswer: 145b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 370*x - 4424. Let k be d(12). Let j = -3 + 2. Let o be 15 + (0 - j) + -2. Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/60)\/((-105)\/56).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - (-63)\/7)*(-2)\/5. Suppose 8 = -t + o, 4*t + h*o + 30 = 5*o. Let b(a) = a. Determine b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 378. Let n be z(-21). Let o(t) = 2*t + 11. What is o(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/((-1225)\/876596)*5\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 6637727 - 6*b + 15*b + 6637727.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-275))\/(((-14)\/((-77)\/(-11)))\/((-106)\/3)).\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 504*j**2 + 501*j**2 + 507*j**2 - 1508*j**2 as t + l*j**2 + x*j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26960 + -26917. Put u, -21, 1 in increasing order.\nAnswer: -21, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 4*i**2 + 3*i + 3. Let j be r(4). Suppose j = 2*k + 53. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y - 81. Let j be k(9). Solve -3 = -6*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1914, -1915, -1916?\n\"Answer: -u - 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -1\/3, -0.19, -4, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7004056ms in days?\nAnswer: 0.00000027431025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4*v + 7*r**4 + 23*r**3*v - 27*r**3 - 2*r**2*v - r**2 - 20433*r*v - r + 10 wrt r?\nAnswer: -72*r*v + 168*r + 138*v - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24606679.\nAnswer: 197, 124907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + 1 + sqrt(11) + (-1 + sqrt(11))*5)*5.\nAnswer: -20 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318 a factor of 519655500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 64 = -3*r, -94 = -2*r + 44*a - 48*a. Is r smaller than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i*p**4 + 41*i*p**2 - 12*i*p + 2*i - p**4 - 49*p**3 + 4*p**2 wrt p.\nAnswer: -120*i*p - 24*p - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 + 2*n**2 - 40*n + 24.\nAnswer: 2*(n - 2)*(n + 3)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 16*k + 17*k - 5, 1 = -4*u - 3*k. Let j(l) be the second derivative of l**3\/3 - l**2 + l. Calculate the least common multiple of 7 and j(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -20. Solve -5*q = -6*q + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 129. Let q = 1954.62 + -1963.619925. Let c = w - q. What is c rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2629 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 183, 472, 761?\n\"Answer: 289*p - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**4 - 5*b**3 + 5*b + 4. Let h(m) = -3 + m**3 + 0*m**3 + 2 + 5*m - 6*m. Let v(p) = 5*h(p) + z(p). Differentiate v(x) wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2791622124892 - -0.083?\nAnswer: -2791622124891.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:45 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2 - 2)*(-3 - 3 + 2)*(-3 - 1 + 3).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42836 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:10 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3*j + 5. What is the remainder when i(-12) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 1. Let x be a(-5). Solve -8*y + 3*y + 10 = 0, -x*f + 5*y - 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, 2\/11, 2\/5, -6 in decreasing order.\nAnswer: 28, 2\/5, 2\/11, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5699 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 22621280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1254\/19)\/((-96)\/80).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 2*o**2 - 11*o - 5. Let k be d(-4). What is the highest common factor of 154 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 29420 = 22480. List the prime factors of i.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 3552.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -124*a + 96. Let o(s) = 21*s - 17. What is -4*f(p) - 23*o(p)?\nAnswer: 13*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 179*d + 2. Let k be l(-4). Let x = -360 - k. Suppose 4*b + p - 3*p = -x, -5*b = p + 453. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = i + 4*i - 3*y, 3*y = -i + 31. Let m = 38 - i. Solve 9*z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*b - 12 = 0, v - b + 1 = -17. Let y be (-8 - -2)*8\/v. Suppose 8*p - 465 = y*p. What are the prime factors of p?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12556*(-10)\/(-140) - 6\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:57 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 9669*k - 58029. What is r(-6)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*r + 363, r = -2 - 2. What is the remainder when k is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 7*s - 34*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/12 + 3*k**3\/2 + 2*k**2 - 990*k. Give c(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347823 (base 9) to base 15\nAnswer: 41e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g, 5*f - 9*f - 28 = -g. Let x be (5 + -12 - f)\/(3 + 1). Which is bigger: 1\/155 or x?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/7400*72\/(-6).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5394.4*-4.\nAnswer: 21577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 - ((-28)\/(-8) - 0). Suppose -2*f + 20 = -3*s - 6, 2*s + 39 = 3*f. Suppose -i + 1 = -4*p + f, -3*p = -12. What is the closest to n in -1\/5, i, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47607029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y + 1569*y + 15 - 15.\nAnswer: 1528*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.748 + 0.152. Let x = p + -7. Let q = -0.9 + 1. Sort x, -4\/7, q in descending order.\nAnswer: q, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75792793 and -0.4?\nAnswer: -30317117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {y: 1, i: 4, g: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5056*d = -38632 - 72600 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 1, -3, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u - 18. Let q(r) = -r - 4. Let t be q(u). What is the second derivative of -b**2 + b**2 + 2*b - t*b**3 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/11, -0.1, 16?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - (-4 + 1)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*t + 6. Let a(g) = 0 + 2*g**2 + 2*g + 4*g**2 + 1. Give a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -0.2, -1282, 1.\nAnswer: -1282, -0.5, -0.2, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 4\/5, 3\/2, 0.4, 169?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, -1, 769 in decreasing order.\nAnswer: 769, 270, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6968092213.\nAnswer: 23, 13172197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23453752 to the nearest integer?\nAnswer: 4843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 1753991*b - 35080220 = 0. What is b?\nAnswer: -1754011, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1616237722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 3) + -13 + 4 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g - 8*g**2 - 10*g**2 + (3*g - g + 0*g)*(0*g + 6*g - 4*g).\nAnswer: -15*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26003 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 + 12*x + 13. Let n be f(-1). Let h be -3 - (-15)\/(10\/2). Solve h = 4*m - 4*w + 2*w - n, 0 = -5*w - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/36 and -43\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/6 + w**3\/6 - 2*w**2. Let b(n) = 137*n + 2742. Let u be b(-20). Give s(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f - 1 + 3)*(3 + 5 - 5).\nAnswer: -6*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 134969 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 7, v: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38471 is divided by 260?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24) - (9 - (-3 + 222\/36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1617 (base 8) to base 5.\nAnswer: -12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7.999892. Round k to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u - 60. Determine l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(50\/(-750))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2\/2 + 10*z + 7. Let l be h(15). Let t(s) = -s**3 - 6*s**2 + 7. Calculate t(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - (-16 + 6))*1\/(-8). Which is the fourth biggest value? (a) p (b) -0.4 (c) 5 (d) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cizpc. Give prob of sequence ci.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 12. Let h(g) = 3*g**3 + 11*g**2 - 15*g + 3. Let x(a) = -4*a**3 - 17*a**2 + 22*a - 4. Let c(s) = -7*h(s) - 5*x(s). List the prime factors of c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/(r\/(r\/(r\/(r\/(r\/((r*(r**(-2\/39)*r)\/r*r)\/r)))))))\/(r\/r**6)**(-42) assuming r is positive.\nAnswer: r**(-90034\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 9452*t**5\/5 + 7066*t - 3303. Differentiate i(u) with respect to u.\nAnswer: 37808*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -5*w**4\/2 - 11*w - 6. Differentiate k(s) wrt s.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 18*y + 42. Let x be u(-20). Let j(l) = 12*l**x + l**2 - 8*l**2 + 5*l**2. Let p(m) = -14*m**2. Determine j(p(b)).\nAnswer: 1960*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 23270139384247?\nAnswer: 23270139384244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.98 - 0.02. Let c = -4 - n. Let h = 8 - 3. Put 0.5, c, h in ascending order.\nAnswer: c, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32420 - 2*x**3 + 3785*x - 3785*x.\nAnswer: -2*x**3 + 32420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -5, -9969, 4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:40 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**4 + 2*o**3 - 5*o**4 - o - 2*o**4 to k*o**2 + g*o**4 + y*o + d + r*o**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1398, 5765, 13092, 23373, 36602, 52773?\n\"Answer: -h**3 + 1486*h**2 - 84*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122313 and 108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 5*r = 4*n, -37*r + 35*r = -7*n + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-10))\/((-14)\/(-245)). Suppose 126 = 14*p + o. Suppose 2*g - 1431 = -p*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -297*i**2 + 22*i**2 + 1085*i**2 + 428*i**2 in the form f*i + p + j*i**2 and give j.\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/56)\/((-6)\/(-231)). Suppose 226 + 1072 = b*u. Is u at least as big as 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-121)\/(-33))\/((-16)\/12))\/((-7)\/(-4)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001 (base 5) in base 16?\nAnswer: 1f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 5*v + 26, -8*t - 108*v - 60 = -106*v for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 895 + -875. What is the remainder when 1279 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/4 - 27*p**3 - 403*p**2\/2 + 27*p + 805\/4 = 0.\nAnswer: -7, -1, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 128*j\/9 + 14.\nAnswer: 2*(j - 63)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52494923, -52494913, -52494903, -52494893, -52494883, -52494873?\nAnswer: -52494863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2666 = 100*k - 102*k + 2*d, -3999 = -3*k - 2*d. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6529 (b) -4\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.011, 0.2, -5, -19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 4. Let i be 6\/(-2)*4\/w. Suppose -5*v = -i*x - 51, -4*v + 46 = -4*x + 5*x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2 - 9*w - 7. Let c(s) = 2*s**2 + s - 1. Determine 4*c(a) - q(a).\nAnswer: -5*a**2 + 13*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/24*4\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3849963704 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-25)*(-321)\/1284)\/(2\/(-5))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -44. Let u = 29 - g. Suppose -2*w - 3*n = -w - 8, u*n = -3*w + 12. Is -1 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**5*y))\/y**(4\/9))\/(((y**15\/y)\/y)\/(y*y*y*y*y**(-18)\/y*y)))**26 assuming y is positive.\nAnswer: y**(-7592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1232 divide 1747767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34406354*n**3 - 2022104*n**2 - n - 2 wrt n.\nAnswer: 206438124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05231 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540863904.\nAnswer: 2, 3, 7, 804857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*a + a = 2020, 2*q - a = 1346. Calculate the highest common divisor of 42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 99\/1. Let o = -49 + k. Suppose 53 = 4*c + 5*q, 2*c - 2*q - 3*q - 19 = 0. Calculate the highest common divisor of o and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {m: 2, f: 4, e: 8, l: 5}.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 62297, -2 in descending order.\nAnswer: 62297, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 15. Suppose -13 = -3*m - j. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/6296405 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x - 69. Suppose -2*g - 22 = 4*k - 62, -3*k - 2*g + 30 = 0. Let v be m(k). Solve 5 = 2*z - v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87010*b - 191394 wrt b?\nAnswer: 87010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 90*b**3 + 2024*b**2 - 90*b - 2025.\nAnswer: (b - 1)*(b + 1)*(b + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72207784 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72557 and 2368?\nAnswer: 4643648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79309435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 172?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00328 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(14\/21). What is the tens digit of (-15)\/(k - 2) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-16709.\nAnswer: -1670.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021746 rounded to six dps?\nAnswer: -0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k + 0*k**5 + 2*k**2 + 0*k**3 + 0 + 1\/105*k**7 + 0*k**6 + 1\/168*k**8 + 0*k**4. Factor h(y).\nAnswer: 2*y**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 65*t - 371. Is n(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*-1*-32. Suppose -5*s + j = -s. Let k be 3\/12 - 9\/s. Sort k, -5, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 179*c + 6802. What is w(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(1\/(-2)))\/((-3340)\/(-60)). Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5 - 14. Let z(v) = 2*v - 2*v**3 - 1 + y*v**2 + 2*v**3 + 3 + 2*v**3. Determine z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from bbnbbnbn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 + 6*l**2 - 9*l = 0 for l.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16*q = 14*q - 7, -2*u - 3*q = 14. Let h be 46\/10 - (u + 1 - -3). Let -h*b - 4\/5 - 4\/5*b**2 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43900*0.5.\nAnswer: 21950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -418 - -1554. Let k = -1135.521 + b. Round k to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8669*s = -8668*s + 2*l - 6, -31*s + 5*l + 186 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -2 + 99727\/5 - (5 + (-56)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3743 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 6}. What is prob of sequence xxcx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 - 5*w**3\/3 + 3*w**2\/2 - 4*w - 1. Let n be a(5). Find the first derivative of -2*r**4 + 11*r + 1 - n*r wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g**2 - 1. Let b be c(1). Suppose 136 = 10*n - b. What is the remainder when 297 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8078 - 0.213\nAnswer: -8078.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -23. Suppose 2*j - p = 1. Solve 5*b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/9)\/(1\/7)*(-12)\/(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72200000 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 356 + 96*n**2 - 356)*(3*n + n - 2*n).\nAnswer: 192*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99, 134, 169, 204, 239, 274?\n\"Answer: 35*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -54*h**2 + 240*h + 1916. Give c(-4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636 a factor of 2189187456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -162, -466, -874, -1350?\n\"Answer: 6*x**3 - 106*x**2 + 112*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l - 21. Is y(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 50*u**2 - 10*u - 2890. Calculate j(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1389, 2272, 3183, 4122?\n\"Answer: 14*o**2 + 841*o + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2331.5 - -2331. What is the fourth biggest value in 0, -2.2, y, -2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*g - 5 + 2, 0 = g + 5*r - 18. Suppose -10*q + 11*q = g. Calculate the common denominator of q\/3 - -1 - (-187)\/(-18) and -117\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-4)\/(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(24)\/(1*sqrt(3))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -55*x - 13. Let q be c(-7). Let l be ((-3)\/(-2))\/((-9)\/q). Let u = l + 176. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2591\/52 - 638\/13. Which is the closest to 1? (a) -6 (b) q (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - 1. Suppose 2*p = 7*p - 2*m + 27, 2*p + 3*m = -7. Sort p, l, -2.\nAnswer: p, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5*k**4\/6 - 43*k**3\/9 - 2*k**2 - 1345. Factor z(p).\nAnswer: -p*(p + 4)*(10*p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73603 is divided by 66349?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 less than 1952809443964?\nAnswer: 1952809443902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101650 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/35 - u**5\/60 + u**2 + 4*u. Let f(o) be the first derivative of l(o). Find the third derivative of f(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 15) to base 16\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 44395 = 846*c - 39*c - 845 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 - -10 - (1 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 291, 290, 289, 288, 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058 - 922 = -495*r. Let -27\/4*z**2 - 5\/4*z + 25\/4*z**r + 1\/2 + 5\/4*z**3 = 0. What is z?\nAnswer: -1, -2\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and -4.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + r + 4. Let u = -1 - 3. Suppose 0*q = 3*q + x - 4, -5*q = -3*x - 30. Let p(m) = 2*m**2 + m + 3. Determine q*h(a) + u*p(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-75)\/(-20). Suppose 4*c - 5*a - 39 = 0, -4*a = -3*c + a + 23. Let o = c + -8. What is the highest common factor of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9 and 79\/13064528?\nAnswer: 117580752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20344\/577 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -24. Let o = 40.48 - q. Let f = o - 2.59. Round f to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/9, -0.02 in ascending order.\nAnswer: -0.02, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5737511 (b) 0.01 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (-3 + -4*((sqrt(468) + -2*sqrt(468) - sqrt(468) - sqrt(468))*-1 + 2))**2.\nAnswer: 1584*sqrt(13) + 67512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {t: 8, c: 3, x: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:06 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 45 - 5. Suppose 5*u = -9 - 6, 313 = 5*y - u. Let f = y - c. Calculate the smallest common multiple of 14 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744645 - 552659 = 100*v - 134*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.7. Let v = -123 + 123. Let r be (2\/(-5))\/((-2)\/10). Which is the nearest to v? (a) r (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317478 is divided by 35266?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(-448)\/(-192)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnn. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/10 - 4*p**4\/3 + 11*p**3\/3 + 18*p**2 + 3*p - 27. Factor g(r).\nAnswer: -2*(r - 2)*(r + 1)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*d = -3*d + 36 + 354 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 587ca - -3?\nAnswer: 587cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {k: 3, s: 5, u: 10, h: 1, y: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18408)\/27599*(0 + 3) - (-5 - -3). Is -1 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 4. Let n(y) = y**3 - 6*y**2 + y - 4. Let x be n(j). Suppose 23*h + 19*h = 0. Solve -x*c - c = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/6 - 3954*l**3 + 29166982*l**2 - 188803998656*l\/3 = 0.\nAnswer: 0, 3808, 9958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -73.\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16.40589 milliseconds?\nAnswer: 0.01640589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-5)*-1 + -17. Let a = 26 + x. Solve 3*n - 8*n = -a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:49 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 12 = 0. Let j = -3 + s. Suppose -k + j - 1 = 0. Is -1 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97.12185l?\nAnswer: 97121.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 84953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from tgunf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7462.30474 to the nearest 10.\nAnswer: -7460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*d = 127*d - 1207895. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705332 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 192. What is the nearest to 1 in z, 101\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-4))\/(2\/(-8)). Suppose i - 60 = -p*i. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101010010000 + -1011111?\nAnswer: -100101011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a + 127*a = 760 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*(j*j*j**(-1\/9)*j)\/j))\/(j*j*j**(-1\/17)))\/(j*j**(-2\/13))**(2\/35) assuming j is positive.\nAnswer: j**(-339611\/69615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - 4.09. Let f = -73757\/4 + 18439. Which is the second smallest value? (a) 2 (b) -3 (c) f (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r. Let h(n) = -272*n + 13331. Let i be h(49). Let u(z) = z**2 + 5*z. Let o(x) = -x**2 + 6*x - 2. Let a be o(6). What is a*u(g) + i*d(g)?\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2825240 divided by -37.\nAnswer: 2825240\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 318450, 318448, 318446, 318444, 318442, 318440?\n\"Answer: -2*j + 318452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082241627 minus -5?\nAnswer: -1082241622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c**2 - 1143*c + 51. What is the units digit of h(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -1027 (c) -0.4 (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*b**3 + 102*b*r + 26161*r wrt b.\nAnswer: 102*b**2 + 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h, -p + 0*p + h + 3 = 0. Let q(r) = 4*r - 3. What is the remainder when q(2) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v + 3*r - 51, 2*v - 12 - 1 = -3*r + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1676 - -1681. Solve -5*y + 30 = -3*n, -m*n + 2*n - 21 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + 30. Let v(i) = -i - 2. Let s be v(t). Suppose 0 = 2*o - 61*r + 62*r - 20, 8 = r. Put s, o, -3 in decreasing order.\nAnswer: o, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**2 - 2179*t*u**3 + 54676*u**3 with respect to t.\nAnswer: 10*t - 2179*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from pyatttpyot.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12230 - 12229.88898. Round v to 3 decimal places.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*i**2 - 300*i**2 + 33 + 0.\nAnswer: 9*i**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j**(-1\/5)\/j*j)\/j*j*j**(-3\/7))**27*((j*j**(12\/11))\/(j**15\/j*j*j*j))**(44\/7) assuming j is positive.\nAnswer: j**(-1984\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 103. Let i(x) = -3*x + 1. Let n(m) = 6*i(m) - p(m). Let v be n(5). Let d(k) = k**3 - 2*k**2 - 10*k + 6. Give d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*g**2 - 16*g**2 + 4*g**2)*(-446 + 223 - 1098*g + 224) as f*g**3 + m*g + q*g**2 + p and give f.\nAnswer: 41724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 divided by 8?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*p**3 + 98*p**3 - 1410*p**3 - 793*p**3.\nAnswer: -1755*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 168454073.4 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 + 71 = -19247*h + 19241*h + 124 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*w**4 + 212216*w**3 - w**2 - 585*w + 29543.\nAnswer: -240*w**2 + 1273296*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/4 - 137665*d**3\/2 + 5230943*d**2\/4 - 4680287*d\/2 = 0. What is d?\nAnswer: 0, 2, 17, 275311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/13))**11)**22)**25 assuming w is positive.\nAnswer: w**(84700\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 11*f + 2*f)*(-3 + f**3 + 3)*(16 - 16 - 4*f).\nAnswer: 32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdmmdtttt. Give prob of picking 2 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 107*y**2 - 5*y + 15. Let s be v(-4). Let f = s + -1044. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2241*y = 2227*y + 12992. Suppose 5*u - 2545 = -5*o, 3*u - 1531 = -2*o + 3*o. Suppose -2*x + y = -u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/5, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 87?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.20649597\nAnswer: 0.20649597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3470653.\nAnswer: 3470653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203465 is divided by 5060.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 1.8. Let o = -5 - -5.3. Let x = 0.1 - 5.1. Put x, y, o in decreasing order.\nAnswer: o, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 25\/(175\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330093 by -223.\nAnswer: -330093\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:38 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213\/2 < 4\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -855 + 2243. Does 44 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110381\/29 at least -3806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + -2.70404. Round s to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63672 (base 11) to base 13.\nAnswer: 33226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 70924?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 - -10) - (-7 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -347 + 2864. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 59100?\nAnswer: 531900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/49 - (3422211\/(-91) + 0)?\nAnswer: 37607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*p + 16 = 321*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*k + 696 - 387 + 471 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 11*z**2 + 2*z + 4. Let u be x(11). Suppose 7*a = u + 247. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/8*((-4160)\/(-48))\/(-65).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(896)*-4 + sqrt(56) + 2*sqrt(504)))\/(4*sqrt(16)\/sqrt(2)*-4*4).\nAnswer: -2 + 9*sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105370.\nAnswer: 2, 5, 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 3.8, 1, 162.3 in decreasing order.\nAnswer: 162.3, 3.8, 1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/11, -0.3, 3, -3\/2, -1345?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2c?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -672.3 + 672. Sort -4, j, -0.4, 0, 0.5.\nAnswer: -4, -0.4, j, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 168602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 11*b**2 - 11*b + 11. Let r be h(10). Let t = -125 + 122. Sort t, r, -5 in descending order.\nAnswer: r, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2. Let a(h) = 14*h + 18. Let u(d) be the second derivative of 7*d**3\/6 + 4*d**2 + d - 5. Let y(v) = 4*a(v) - 9*u(v). Calculate x(y(j)).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -123. Suppose -2*j - 3*a - 33 = 0, -32 = -4*j - 2*a - 78. Let r be j\/(-12) - (-94)\/(-104). Put r, -5, p in increasing order.\nAnswer: -5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-3)*209\/380?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*q**2 + 907*q + 163*q**2 + 310*q**3 - 47*q**3 wrt q.\nAnswer: 1578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -3.5. Let s be (-1 - 13\/(-10))*(-65)\/(-26). What is the smallest value in -0.02, s, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908011 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*q - 16, -5*q - 9 = 4*n + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 2*g**2 + 0*g - 2 + 0. Let c be i(-2). Find the first derivative of 2 - c*k**2 - 2*k**2 + k**2 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:46 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*v + 749 = 20*v - 859 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) + 0) + (sqrt(325))**2 + 0 - (3 + (sqrt(1573) - -3*(-3*sqrt(1573))**2)).\nAnswer: -42149 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from yqqfffrrffryqfffqf.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbyp. What is prob of sequence bp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89423803453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, -2, 3\/50, 1, 3\/8, 0 in descending order.\nAnswer: 223, 1, 3\/8, 3\/50, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1886\/80071 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24812 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(230\/1)\/5 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/1587 or 0?\nAnswer: 125\/1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2356 + 2353. Let h be ((-4)\/10)\/((-14)\/(-130)). Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -1 - (-10)\/18. Let m be (5\/4)\/5 - 0. Let x = 1.2 + -1.1. What is the second biggest value in x, f, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -31. Solve z = -9*t + 4*t + 3*p - 4, -4*p = -2*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 7.63, 2\/9, -2\/7, 11, -4\/3?\nAnswer: 7.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/21, -29.845, -1 in descending order.\nAnswer: 2\/21, 0, -1, -29.845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - 52) + (5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15)\/v**18 assuming v is positive.\nAnswer: v**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 6216?\nAnswer: 55944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:35 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207874*y = -207974*y + 400 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 1\/3, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efef when four letters picked without replacement from {d: 3, f: 3, e: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.908 + 0.685. What is s rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67925 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -258. Let d = j - 74. Suppose 2*f = -4*u + 578, -u - 4*f = -9*f - d. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7523, -7008, -6493, -5978?\nAnswer: -5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhhftfpaphtzfphfhhh. What is prob of picking 1 f, 2 a, and 1 z?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 21761. Let j(q) = -q. Give t(j(s)).\nAnswer: -s + 21761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kykuuykkyuyyyuu. What is prob of sequence yuky?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/33857 - -44928245\/101571. Let u = 433 - v. Calculate the common denominator of u and 43\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + j + 277, -3*j - 835 = -3*v - 4*j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 3650322?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726498.\nAnswer: 2, 47, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350895577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n. Suppose n - 6 = -2*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 265847692*n - 8834374417715858.\nAnswer: -2*(n - 66461923)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09692 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*c + 5209 = 19269 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**26*r)**39\/(r*r*r**37*r**14) assuming r is positive.\nAnswer: r**1000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 29*c - 30*c. Let k be (5 - 4)*(-7 - -1). Let n = 11 + k. What is the remainder when c is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 84689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18988900 bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {l: 7, y: 1, s: 4, b: 1, o: 2, i: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 19*k**2 - 6*k + 7 + k + 0*k**4 - 1 - 9 wrt k?\nAnswer: 12*k**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -348 + 41119\/118. Let u = z - -2\/59. Which is the nearest to 0? (a) -66 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2)*o**(-1\/9)\/o*o**(-3\/2)*o**(-4\/7))**(7\/5) assuming o is positive.\nAnswer: o**(103\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-8)\/(-6) - 185\/15). Suppose 12*l - m*l = 5. Is (-7)\/(280\/(-40368)) + (-1)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -646, -640, -606, -526, -382, -156, 170?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9959035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10212 + -10208. What is the nearest to -8 in 0, -2\/5, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k**2\/4 + 777*k\/4 + 261\/2 = 0.\nAnswer: -2\/3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + -1 - 2. Let n(b) = -3*b**3 - b**2 - 2*b - 2. Let o be n(j). Let h(i) = 43*i**2 - 2*i - 1. What is the tens digit of h(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2556, -9452, -20912, -36930, -57500, -82616?\n\"Answer: x**3 - 2288*x**2 - 39*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7009 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -299407, -598813, -898219, -1197625, -1497031?\n\"Answer: -299406*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + (-13)\/(-2))*2. Suppose u + 1 = y*n - 0, 0 = n + u + 1. Suppose -4*w + 8 = -n*w. Solve -2*v + 3*v + w = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*g - 15 - 0, 0 = -4*z - g - 12. Let r be 3 + (2 - (5 + z)). Let s = 259 - 259. Which is the biggest value? (a) r (b) s (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3775 - -3776) + -84*4\/6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Let g be m\/(1 + -3) + 18. Solve g = -w + 3*i, 0*w - 2*w + i = 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 5*b + 19, -3*k = 3*b - 3 - 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -5, -25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/600 + 3*f**5\/25 - f**2 - 93*f. Factor v(w).\nAnswer: w**2*(w + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86954 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1620))*1 + 3 - (-1*(sqrt(315) - -2*sqrt(315)))\/(sqrt(7) + sqrt(112)*4)) + 1)**2.\nAnswer: 1890*sqrt(5)\/17 + 498726\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -14. Let z(n) = 18*n - 33. Let b(u) = 6*u - 11. Let y(x) = -8*b(x) + 3*z(x). Let g(f) = -5*f + 11. Let d(h) = t*y(h) - 5*g(h). Determine d(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:05 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 8*x**2 + 11*x - 5. Let o be b(7). Suppose -17 = -4*j + o. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*x - 1962 = -135*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74284 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21122 or 654784\/31?\nAnswer: 21122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p. Let m(n) = -23*n**2. Calculate m(f(i)).\nAnswer: -7452*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1055 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 9 = -42*y. Suppose -y*w + 2359 = -52*z + 50*z, 2*w = 5*z + 1558. Is w a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 8. Let b(u) = -4*u + 5. Let x(p) = -3*p + 2. Let r(s) = -4*b(s) + 7*x(s). Let n(a) = -3*j(a) + 4*r(a). Let d(l) = -3*l - 2. What is n(d(c))?\nAnswer: -12*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.4847 rounded to 1 decimal place?\nAnswer: 201.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l - 2. Let y be u(3). Suppose -4*o = 2*a - 42, -29 - y = -3*a - 3*o. Let g = a + -7. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 53921656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-52)\/182)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 14, 5, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3391923762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdld when four letters picked without replacement from {y: 1, d: 2, g: 2, l: 2, q: 1, x: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z = -69*z - 3*q + 68, -39*z + 29*z - 4*q = 67*z - 372 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124465955 - 8?\nAnswer: -124465963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 301, 353, 433, 547, 701, 901?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -264766, -264741, -264716, -264691, -264666, -264641?\n\"Answer: 25*f - 264791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 210 = k, 4*t + 4*k - 70 = 3*t. Let z be (6 - 4)*21\/3. What is the highest common divisor of z and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/99500 and -111\/99500?\nAnswer: 99500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15298, 30530, 45762, 60994, 76226?\nAnswer: 91458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 841357.62 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, -4, 14 in decreasing order.\nAnswer: 14, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9 + 15 + 3 + j**2. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4463 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d)*(d + 1 - 1) + 0*d**2 + 0*d**2 + d**2 + 6*d**2 + d**2 + 4*d**2 - 14*d**2 - 18*d**2 + 9*d**2 + 3*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 663380272145\nAnswer: -663380272145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(100\/(-1400)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -6857.\nAnswer: -11\/6857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 10 = 17*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 - 5\/27*o**3 - 1\/108*o**4 - 85*o + 4\/3*o**2. Factor y(c).\nAnswer: -(c - 2)*(c + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2316 = 3*m + 489. Suppose 9*k - 24 = k. Suppose 2*g - 108 = -d + 6*g, -5*d - k*g + m = 0. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let m be l\/(-4) + 28\/(-8). Let z = -0.0669 - -2.0669. Which is the third smallest value? (a) m (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:45 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 + 1.14. Let c = r - 1.7. Is c smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f\/(f**(-1\/3)*f*f))\/((f*f**(2\/11))\/f**6))**17 assuming f is positive.\nAnswer: f**(5219\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 24224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -283ba13 - 5?\nAnswer: -283ba18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c. Let w(h) = -120 + 20 + 2*h - 44 - 51 - 3*h. Determine w(g(k)).\nAnswer: -6*k - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.392, 8, -8.253?\nAnswer: -8.253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1644875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 3*k**2 - 1. What is the least common multiple of a(-2) and (-5)\/(2\/(-3 - -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**7\/525 + g**6\/150 - 2*g**5\/75 - g**4\/30 + g**3\/5 - 71*g**2. Factor l(m).\nAnswer: 2*(m - 1)**2*(m + 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - (29 + -86 - -185).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 3*d - 3. Let a be -2 - (-2 - (-3 - -3)). Let b(z) = z**3 + 7*z**2 - 7*z + 11. Let n be b(-8). Let t = n - a. What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 4*o + o - 3*o)*(-4*o**2 + 10*o**2 + 0*o**2).\nAnswer: 12*o**3 - 150*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**9\/42 - z**5\/5 - 2*z**2 + 9. Let p(k) be the second derivative of w(k). Find the third derivative of p(y) wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 104698804*y**2 + 2*y + 209397591*y**2 - 104698802*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 495983055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 433202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 4*y + 5, -5*y = -4*t + 20. Differentiate f + 2*f + t - 5*f - 3*f wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(272) + sqrt(272) + ((3 + sqrt(272))*-6)**2 + -1.\nAnswer: 860*sqrt(17) + 10117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16154213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.0680904 - 44.9319054. Let g = -49 - n. Round g to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000248807775 rounded to 7 dps?\nAnswer: -0.0002488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 + 286*x - 285 = 0?\nAnswer: 1, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 76?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/l**4)**(18\/13) assuming l is positive.\nAnswer: l**(-66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, -15 in decreasing order.\nAnswer: 16, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-28)*235\/(-1175)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) - (-864)\/(-39). Let k = y - -22. Suppose -2*i = 4*g - 212, 3*g + 5*i = -k*g + 166. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35568, 37208, 38834, 40440, 42020, 43568, 45078, 46544?\nAnswer: 47960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 15. Let b(i) = -i - 7. Let r be b(j). Differentiate 1 + r + 0*k**4 - 4*k**4 + 1 wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 10 + y**2 - 6 + 25 - 11. Determine c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z. Let l(d) = 4*d**2 - 7. Let u(j) = j**2 - 2. Let w(i) = 2*l(i) - 7*u(i). Determine w(a(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 244637*x - 290714.\nAnswer: 244637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:11 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -137*k**2 - 131*k - 236. Is z(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**2 + 415*o - 569. Give t(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, 2\/7.\nAnswer: -32, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6056 + 21168*w + 19747*w + 833 - 1859 - 37078*w wrt w?\nAnswer: 3837","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + 32868\nAnswer: 32866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1514*o**4*z**2 - 32*o*z**3 + 34*z**3 - 6*z - 23 wrt o?\nAnswer: 6056*o**3*z**2 - 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-3546.5.\nAnswer: -262441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65121*c + 65121*c + 4*c**3 - 18*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -15 - ((0 - -71) + -14 + 8).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(105\/28 + -1). Is (-10 + w)*1661\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97845 and 45?\nAnswer: 293535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 47*m + 37. Give x(21).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -111*g + 3. What is the least common multiple of u(-3) and 22?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8715 and 15788675.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -1. Solve 3*b = 4*w + 35, -5*w + n - 13 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3a (base 11) to base 9.\nAnswer: -1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 + 13. Let z be d(0). Let m(c) = c + 41. Let x be m(-24). Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 504?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91473*0.5.\nAnswer: -45736.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564 is divided by 3798?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 12*s - 329 + 329 + 8*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34375696 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*o - 728*j**3*o**2 + 16*j**3*o + 119*j**2*o + j**2 - 79*o**2 wrt j.\nAnswer: 48*j*o - 4368*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 24699208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -0.52, 1\/1812 in increasing order.\nAnswer: -6, -0.52, 1\/1812, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 - 377*x**2 - 3150. Let n(o) = 2*o**3 - 182*o**2 - 1573. Let v(p) = 4*b(p) - 9*n(p). What is the derivative of v(j) wrt j?\nAnswer: 6*j**2 + 260*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(209) - (sqrt(209) + (sqrt(209) - sqrt(209)*2))*-2) + sqrt(209))\/(-6*sqrt(44)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 4*p**3 + 4*p**3 + (255*p**3 + 91*p**3 - 104*p**3)*(3*p - 2*p + p).\nAnswer: 483*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*w + 12575, 2*j + 3*w - 1420 = 6938. Let y = -2573 + j. Suppose -y = -0*r - 4*r - 4*n, 3*r + 2*n - 1207 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -14 - ((0 - -2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296743522 to the power of 1\/2, to the nearest integer?\nAnswer: 17226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4 - 1540387*f**3 - 4*f**2 - 5*f - 18049 wrt f?\nAnswer: -48*f - 9242322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3700 divide 74526527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15989983?\nAnswer: 15989983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312130 + 103?\nAnswer: -3312021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39031571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*c**2 - 120*c**2 + 5*c**2)*(-4 - 7 + 6)*(2 - 2 - c**2) as l*c**4 + u*c**3 + n*c**2 + q*c + h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2)*2 + -4 + (sqrt(22)\/(-1*sqrt(1584) - sqrt(1584)))**2.\nAnswer: -1727\/288 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdkmkkddmkmmmmmkxm. Give prob of sequence dx.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401 (base 10) to base 15.\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 t, and 1 y when four letters picked without replacement from thlhthtothhlllty?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 93*y - 37)*((1 + 1 - 1)*(-3*y + y + y) + y - y - 2*y - 6*y + 4*y + 4*y).\nAnswer: -93*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/805 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-18) + (-3)\/9 - -32. Let x = -27 + r. Solve -4 + x = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:32 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211 (base 7) in base 8?\nAnswer: -4713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*j - 122 + 136 = 0, 0 = -4*j - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95973 - -56148. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 119 - 80 + 3*s + 2*s - s. Let p be t(-7). Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 3*u - 2*u**2 - 676 + 6*u - 28*u.\nAnswer: -2*u**2 - 6*u - 676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - 306. Solve -c = -3*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 - 670*c + 2017. Determine v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 24 = 10*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ecb8 (base 16) in base 9?\nAnswer: 212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 74?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:45 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 + 7*p + 7. Let o(l) = -5*l**2 - 6*l - 6. Let g(i) = -7*o(i) - 6*v(i). Let j(s) = -9*s. Determine j(g(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, d: 1, m: 1, s: 3}. Give prob of sequence sm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -8277882\nAnswer: -1655576.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66477 take away -4.7?\nAnswer: 4.03523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135884836, -135884837, -135884838, -135884839, -135884840, -135884841?\nAnswer: -135884842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u + 2. Let h(d) = 70*d + 21. Suppose x - 2*i + 17 = 0, -4*x + 2*i + 16 - 96 = 0. Let r(c) = x*w(c) + 2*h(c). Let g(y) = 21*y**2. Calculate g(r(q)).\nAnswer: 1029*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0621 - 2.9379. Let s = -0.5 + 5.5. Which is the second biggest value? (a) 4 (b) -2 (c) q (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 8:31 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 9 = 0, 22 = 3*r - 2*v - 28 + 33 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 3:59 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*g + 189*g = -42 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 3, d: 4, y: 2, j: 2}. What is prob of picking 2 y and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*x = -270, x = 5*s + 148 - 806. What is the remainder when s is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2b6 + 5?\nAnswer: a2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*z - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - -103. Suppose 0 = -3*k + 4*u + 10 + c, 2*u + 126 = 2*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 26. Let h be p(-7). Let l = h - 55. Let o = -20 - l. What is the fourth biggest value in 1, 2, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/1*(-4)\/(-12). Let g(y) = 31*y**3 + 12*y**2 - 50*y + 11. Is g(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -36, -93, -202, -381?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/60 - 10*z**2 - 8. Let q(p) = -47*p. Determine q(u(t)).\nAnswer: 47*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**2 - 58*n + 18. Calculate k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q - 22. Let v = 1 + 3. Suppose g = -v*g + 20. Let o be j(g). Solve -5*r - 3 = -a - 4, 2*r + 2*a + o = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 (base 12) in base 10?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -954 - 956 + 3815 - 958 - 1806*t - 955 in the form a*t + l and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 4*m**2 - m**2 + (0*m**2 - 4*m**2 + 2*m**2)*(-3 - 3 + 2) + m**2 - m**2 - 3*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 2*h**2 + 2*h + 25. Let t be i(0). Let c = 32 - t. Which is bigger: 8 or c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/9 - 47\/36. Let m = 439\/104 - 35\/8. Which is the nearest to 4\/29? (a) i (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + 4*f = 5, 5*x + 3*f - 5 = 0. Let v be -15 - ((1 - x) + -3). Let g be ((-44)\/v - 4)*0. Is g equal to -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-2)\/15)*(22 - 27). Is 0.8 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/274056 and 7\/92?\nAnswer: 6303288","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 21. Suppose 0 = -3*p - o + d + 6, -p = -4*o + 3. Suppose -2*m + 4*u + 18 = 0, -3*m + p = m + u. Solve 3*k - 15 = 3*w + 7*k, 12 = -3*w - m*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1355, 1349, 1339, 1325, 1307?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74386 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*u + 97, -q - 95 = 3*u - 0*q. Let i = -28 - u. Suppose -i*r - r = -1524. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:31 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364115100.\nAnswer: 2, 3, 5, 61, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*m**2 - 40 + 20*m + 40 - 20*m.\nAnswer: 153*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011110011100111000011 + 11?\nAnswer: 110011110011100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 100. Let t be h(49). Solve 1 = t*i + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = -19. Solve 0 = r + 2*r + o*a, 3*a - 35 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {o: 8, t: 3, p: 2, d: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06139 + -140.56861. Round i to the nearest integer.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -3. Let f = -1164 + 5798\/5. Let g = -4 - f. What is the nearest to -0.1 in r, -0.3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**2 + 0*a**2)*(-10*a + 2*a**2 + 10*a).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -381 + 8*t**2 + 7*t**2 - 359 + 775 - 13*t - 14*t**2. Give v(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 10*v**2 - 606*v - 6. Let u(b) = -b**3 + 7*b**2 - 404*b - 4. Give -5*q(o) + 7*u(o).\nAnswer: -2*o**3 - o**2 + 202*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/11))**24*(d**(-2\/15)\/d)\/((d*d*d**(-3\/4)*d)\/d*d) assuming d is positive.\nAnswer: d**(6407\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + -2*sqrt(378))*-3)\/(sqrt(378)\/sqrt(7) + sqrt(18)\/sqrt(3)*-1).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/627848 and -145\/470886.\nAnswer: 1883544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6642.80727 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*w + 1 - 35, 59 = 5*w - 3*f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/3, -5, 108, -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 18. Let c be t(3). Sort c, 5, 0.2, 0.1 in ascending order.\nAnswer: c, 0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.541 - 3.341. What is the nearest to t in 1\/4, -1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 88 - 200 + 480565*q.\nAnswer: 480565*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -14, -25, -46?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 22677*z**2 + 2647*z**2 - 10*z + 4*z.\nAnswer: -20030*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*o**2*t**2 - i**2*o*t**2 + 6*i**2*o*t + 4*i**2*o + 108*i*o**2*t**2 wrt o.\nAnswer: -4*i**2*t**2 + 216*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -193. Let w = h + -199. Suppose -2\/9*f - 2\/9*f**w + 4\/9 = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2288 - 2*g**3 - 2*g**3 + 2*g**3 - 2288 - 2*g - 450*g**2.\nAnswer: -2*g**3 - 450*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 - 489. Let j = -244 + m. Round j to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 15045984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 652 - 648. Suppose 4*t + 31 = -4*u - 5, 3*t = 3*u - 3. Let g = 4 + u. Solve -x - 5*s - 10 = 2*x, g = 4*s - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35051 by -207.\nAnswer: 35051\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.262618 years?\nAnswer: 27.151416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 120 - 106 - 111 + 337.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*w + 2324 = -92*w + 97*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/63343 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9845664, -9845660, -9845652, -9845640, -9845624, -9845604, -9845580?\nAnswer: -9845552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 371 = 3*j. Suppose 4*w + f = 5*f + j, 5*f = w - 30. Calculate the lowest common multiple of 14 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(-1 + -4 + 0 + sqrt(128) + 4 + -5).\nAnswer: -16*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {z: 1, h: 11, v: 1, d: 1, n: 2, r: 4}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9476 and 16892.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 13) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 87 = -3*q - 6, -q = 5*s + 159 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let a(z) = -12*z + 9*z + 6*z. Determine a(k(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-70)*(-819)\/(-234)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318.3 take away 17?\nAnswer: 1301.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12193382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11558 divided by 3.\nAnswer: -11558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -0.07324175.\nAnswer: -1.83104375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1965*k**3 + 1965*k**3 - 8*k**2 + 6*k**5 + 16*k**4 + 973*k + 3*k**5 - 973*k - 4*k**5 + 2*k**5 + 3*k**5 + (-2*k**2 - k**4 + 2*k**2)*(0 + 0 - k).\nAnswer: 11*k**5 + 16*k**4 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011787 rounded to 6 dps?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2\/2807, -1.2, -0.4?\nAnswer: -2\/2807","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106912361 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 6 = -23*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 6*k + 2*k**2 - 6 - 3*k + 0*k**2 + k**2 + k**2 + (-3*k + 3*k - 2*k)*(k - 2*k + 0*k) - k**2 + 3*k - 3*k + 0*k**2 + 0*k**2 - k**2.\nAnswer: 4*k**2 + 3*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14922*i**2 - 14927*i**2 - 14355*i**2 + 45174*i**2.\nAnswer: 970*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 39096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*i**2 + 38*i**2 + 75*i**2 + 67*i**2 - 197*i**2.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = -j. Suppose 3*q + 9 = 2*p - 0, -j*q = -2. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 495, 465, 413, 333, 219, 65?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 758 - -10?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20762 - 643566\/31. Is 1 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -303 - -302.9093. Let v = -0.3123 + b. Round v to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -12)*(1 + (-15)\/(-9)). Calculate the highest common divisor of 40 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.651mm in nanometers?\nAnswer: 217651000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 276. Suppose 26 - 8 = 2*r. Find the first derivative of r + 3*g**3 - 5 - 5*g**3 - 4*g**j wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 507.2 + -507. What is the closest to 1 in p, -2, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*r + 2*r - 85, -39 = -2*r - h. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - 36 - (-15 + 11 - -1 - 2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -134?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3\/6 - p**2 + p. Suppose 17*i - 3 - 51 = 8*i. Give r(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*a - a + 33, -2*a + 6 = t. Let m = -186 - -325. Let d = m - 142. Put -20, d, a in ascending order.\nAnswer: -20, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/42)\/((-4)\/((-504)\/(-7))))\/((-594)\/567).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c - c)*(-2 + 1 - 1) + 0*c - 2*c + 0*c + (-2*c - 2*c + 3*c)*(4 - 2 - 1) + 2*c - 3*c - 3*c + (c + 2*c - 5*c)*(1 + 1 + 0).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308127.\nAnswer: 3, 271, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2369\/4025 - 0)\/(4\/10) and 8\/259.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113533 - 113533 - 489*m)*(-5*m + 0*m + 3*m) + 0*m**2 - 2*m**2 + m**2.\nAnswer: 977*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -91*o + 1. Let u(k) = 2*k**2. Calculate t(u(y)).\nAnswer: -182*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 18642375*c - 74569516 = 0. What is c?\nAnswer: -4, 18642379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 6:24 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-8)\/(-33)))\/(85\/(65280\/(-1344))).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m + 10868 = 10404 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2 + 9*j - 13. List the prime factors of i(10).\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-564)\/658*(-140)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 913406, -5 in descending order.\nAnswer: 913406, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 96.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 1, e: 4, k: 3, u: 1}. Give prob of picking 2 e and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9046, -72224, -243692, -577600, -1128098, -1949336, -3095464, -4620632?\n\"Answer: -9025*p**3 + 5*p**2 - 18*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/5 (b) -0.2 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 61 + 86. What is the remainder when ((-212)\/9 - (-1044)\/(-2349))*(1 + -7) is divided by g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 - 6*g - 6. Let c be o(5). Let u = -6 - c. Calculate the highest common factor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:40 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 75. Let i be c(-18). Let f = -3 - -1. Let j be (f\/(-4))\/((-3)\/(-18)). Solve j*p = -t + 1, 0 = -t + i*p - 0 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 23*w**2 + 12*w + 11. Let l be d(12). Solve 3*y - 6 = 4*m, 0*y = -y - 3*m - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012000002 (base 3) to base 2.\nAnswer: 100010100001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = v, 5*v = -l + 3*l + 75. Suppose 15 = 3*a - v. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, a: 16}. Give prob of picking 4 m.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 445*y - 5 + 10)*(0 - 4 + 5).\nAnswer: 445*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2296\/(-9184))\/(1*1\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11136*v - 25665*v + 55779*v + 73213*v + 88409*v)*((-v - v + 0*v)*(1 - 1 - 1) - 4*v + v + 5*v + 0*v + 0*v + 2*v) as h*v + c + x*v**2 and give x.\nAnswer: 1083600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 17754228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 10*q + 5. Let t be w(10). Let a(c) = -33*c**3 - 6*c**2 + 4*c - 39. Let v be a(t). Let k = v + 12129. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h = -37 + 951 + 419 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyy when three letters picked without replacement from {y: 2, f: 6, q: 7}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -22, -33?\n\"Answer: -11*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23057, 92323, 207811, 369527, 577477, 831667, 1132103, 1478791?\n\"Answer: c**3 + 23105*c**2 - 56*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894261412.\nAnswer: 2, 473565353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 3\/4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28919363 and 13609112?\nAnswer: 231354904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Let j be -3 + m - (-2)\/2. Put j, -2, -3 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398 divided by 15\nAnswer: -398\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-1) - 12)\/((-28)\/98)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202102?\nAnswer: 2, 11, 101, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 633*h\/4.\nAnswer: -h*(h - 633)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(g + 1 - 1) + 13*g - 30*g - 107*g)*(-4 + 7 + 4 + 4*g**4).\nAnswer: -500*g**5 - 875*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*n - 2 = 0, 19*r + 5*n = 18*r + 12. Solve -4*o - 4 = -13*d + 9*d, o + r*d + 13 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 10*g - 5*g. Let i = g - 4. Suppose -2*h = -i - 29. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*k**3*n**2 + 483*i*k**2*n**3 - 52*k**3*n**3 wrt k.\nAnswer: -12*i*n**2 - 312*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r. Let w(i) = 16 - 17 + 1 + 4*i. Calculate w(a(o)).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + x**4\/2 - 2*x**3\/3 + 4*x**2 - 14*x. What is b(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10211121132333 - 0?\nAnswer: 10211121132333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-70755.\nAnswer: 283020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 22\/2 - 4. Suppose -3*m - 12 = -f*m. Calculate the greatest common divisor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102632 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219488 is divided by 1395.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (10 + -17 - (1 + -2)) - -24\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469240 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/12 + 4\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13224 + -113?\nAnswer: 13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67\/210 - 5\/42. Let c = 0.332 - 18.632. Let b = -18 - c. What is the third biggest value in 4, b, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -36069\/8, 0.1?\nAnswer: -36069\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 890 = 4*h, -h + 1801 = 21*k - 19*k. Let q be 1\/((-1)\/2 - -1). Factor k - 908 - 2*j + 3*j - 3*j**q + 8*j.\nAnswer: -3*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2255*t = 3236*t + 10982 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000100001100001110 + 10?\nAnswer: -100000100001100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 9*k - 86. Calculate the highest common divisor of k and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/(2\/14). Let w(a) = a**2 - 6*a**o + a**2 + 2*a**2. Let z(r) be the second derivative of -16*r**3\/3 + r - 7. Give w(z(q)).\nAnswer: -2048*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*c + 192 = 331*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 3359655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.05.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcllphpptlhhp. What is prob of picking 1 l, 1 h, and 1 t?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n + 214. Let d(x) = 14*x - 213. Calculate -5*a(v) - 6*d(v).\nAnswer: v + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 - 309*b**2 - 550*b - 240. Give y(79).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 58.08 (c) 4 (d) 4687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-432)\/252)\/((-8)\/46844)?\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56179 is divided by 55672.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Suppose -q - 2*s = -0*s + 6, 2*q = -3*s - 13. Let u be (-4)\/(-5)*(-20)\/q. Let m(d) = 4*d**2 + 0*d**2 - d**u. What is m(r(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 12, 20, 30?\n\"Answer: p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 1. Let z be k(0). Suppose 0 = -24*t - 12 - 51 - 9. Which is the closest to z? (a) 2\/3 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-6) - 17)*2\/(-5)*(27 - 22)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 190 = 76 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 - -350. Let j = -120 + 71. Let i = m + j. 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 millions digit of 4584317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 297540?\nAnswer: 1487700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 3*f + 3. Let w be 3\/1*8\/3. Let s(d) = 9*d**2 - 8*d + 8. Calculate w*n(i) - 3*s(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*m + 753, 4*m - 3*l - l - 1004 = 0. What are the prime factors of m?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 20 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13404 + -1?\nAnswer: 13403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 4*s + (-2 + 0 + 1)*(2*s - 5*s + 4*s))*(-2*s**2 - s**2 - s**2) + 4 - 2*s**3 - 4.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.079 and -145?\nAnswer: -11.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6642*r + 9535. Let p(t) = 13282*t - 19071. Let c(f) = -9*d(f) - 4*p(f). What is the derivative of c(v) wrt v?\nAnswer: 6650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = s - 7*o, -1 = -4*s - 5*o. Suppose -4*y = -4 - s. What is the third derivative of m**5 - 8*m**y + 0*m**5 + 7*m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -0*w - 5*w + 4*y, -3*y = -3*w + 42. Suppose z = w*z - 103848. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 711 = -r + 3*r, -12 = -4*r. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2057.79 - 2057.89. Let s = -108 + 160. What is the closest to -2 in s, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11214977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-98)*23\/(-207)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46 - -2)*(-5)\/2. Let i = q - 78. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s - 1169 + 212 = -57*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6461645 - 3?\nAnswer: -6461651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*t - 773 - 81751 = 554*t - 493*t for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19763454.13 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26127241 + 48327241. What is j rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1092464, 2184921, 3277390, 4369877, 5462388, 6554929, 7647506, 8740125?\nAnswer: 9832792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/1419*8)\/2*(-87)\/58.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 18*g - 6879. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20)\/(17\/595).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (0 + (-1626)\/1622). Let b be 3 + (-21)\/(-2433)*(-14495)\/45. Let j = f + b. Which is bigger: -0.4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921 - 1362 - 2309 = -125*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 47. Suppose 2*f + 3 = 33. What is the highest common factor of y and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*i, 5*m - 5*i - 20 = -0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - 414?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15465430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 + 5. Let f = -494 - -2959\/6. Sort -4, p, -0.1, f in descending order.\nAnswer: p, -0.1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -4 + 2 - -248. Suppose -3*t + k = 2*t. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (2*sqrt(85)*-1 - sqrt(85)))*4)\/(sqrt(55)\/(sqrt(44)\/sqrt(4)) - -2*sqrt(45)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 16. Let m be c(7). Let i be 0 + -1 + (-2 - m). Solve -3*f - f = -i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - 15\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/411515?\nAnswer: 1\/411515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 - -3)*4\/6. Suppose 3*r - 212 = -d. Suppose 3*y - r = -0*y. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Is (44\/(-2))\/(s\/2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98374 and 122614.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(38))\/(-2*sqrt(8)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -54.61.\nAnswer: 76.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 0.5 (c) -1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40337 and 1463?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 1010590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 + -246. Let z = 327 - h. What is the lowest common multiple of z and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-6) + (-3)\/2. Which is greater: -0.4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202 + -101?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i - 5. Calculate d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, 5, 3.14, -17\/4, -109?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94408 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22\/25, -0.3, 2.\nAnswer: -3, -0.3, 22\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 - 3*p**2 + 5. Let y(r) = 16*r**3 + 15*r**2 - 26. Let f(t) = -11*b(t) - 2*y(t). Give f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z - 2917 + 5798 - 2907. Calculate v(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7430*i**3 - 11676 with respect to i.\nAnswer: -22290*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aa (base 14) to base 8.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*a*k + 286749524*a - 16134*k**3 + 536*k**2 wrt k?\nAnswer: -13*a - 48402*k**2 + 1072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482492 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:25 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -10842?\nAnswer: 10837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/40 - -1)*(27 + (-6695)\/260)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = 2*b, 5*a = -1013 + 1023 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g. Let c(h) be the second derivative of -5*h + 13\/2*h**3 + 3 + 0*h**2. Determine m(c(o)).\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244626\/1975 or 125?\nAnswer: 244626\/1975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - 21. Let j = 2117 + -2114. List the prime factors of q\/(-1)*j\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61414b - 7?\nAnswer: -614154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608693 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14213526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 810*b*s - 740*b wrt s?\nAnswer: 810*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 272, 405, 538?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22440 by 60.\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - (-5*sqrt(684)*2 + sqrt(684)))\/(-2*sqrt(1452) + sqrt(1452)))\/((-2*sqrt(27) - sqrt(3)) + (-2*sqrt(18) + sqrt(18))\/sqrt(6)) + 1)**2.\nAnswer: 5*sqrt(19)\/22 + 2411\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -136*p + 16. Determine f(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.36 - -2.04. Let i = -16.4 + q. Which is bigger: i or -0.026?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 89?\nAnswer: 115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 148 - 718. What is the highest common divisor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 2*v**3 + 7*v**3)*(-329 + v + 329 - 2*v**2).\nAnswer: -20*v**5 + 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 11. Let u(m) = -m - 12. Let c be u(-4). Let d be f(c). Solve s = d*v - 5, 5*s - 7 = -3*v + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 14 = 2*d + a, -4*a + 16 = 0. Let j be (8\/4)\/d + 4. Solve -j*w - n = 4, 4*n - 6*n = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*y + 8. Let k(v) = -v - 1. Let u be k(y). Suppose 14 = 4*i + u. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 255996.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4560)\/72)\/(-38)*96\/30?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13302 + 113221?\nAnswer: 133123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5473102 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 922249*t = -922274*t - 44, 5*o + 4*t = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639025406.\nAnswer: 2, 319512703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/36 and -149\/324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(3*a + 2*a + a) + (-4*a + 0*a + 5*a)*(1 + 4*a - 1).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10313352253 + 5?\nAnswer: 10313352302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.038035 decades?\nAnswer: 0.0038035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16088 + -16084. Let l = -15 + 14.8. Put -12, o, l in descending order.\nAnswer: o, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 107.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*h - 111*h - 6267 = -3*d, 9*d - 2*h = 18825. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108360 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/56618031 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2532273 = 5*v + 3*n + 10922745, -2690970 = v - 5*n. Round v to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -536*r + 287*r - 1743 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 384135 or 29578440\/77?\nAnswer: 384135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 400\/7? (a) -2 (b) -3 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.9. Let v = 222 - -46. Let k = v + -268.1. What is the nearest to j in k, 2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-94 + (-3)\/1)\/(-10) and 37\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-28)\/(-8)) + 0 - -94. Let a = o - 166. Let i = 197 + a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 29397\nAnswer: 5\/9799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - w - 1. Let m be x(-1). Let z = -2 - m. Suppose z = 3*c - 0*j + 2*j - 1, -5*j = 3*c + 11. Solve 3*f + 6 = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*f**5\/5 - 2408*f**4\/5 + 12848*f**3\/5 + 19496*f**2\/5 + 4756*f\/5 + 64 = 0. Calculate f.\nAnswer: -16, -1, -1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486451 is divided by 6851.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - 0) + -4 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292*o**4 - o**3 - 8*o**2 - 2093 wrt o.\nAnswer: 1168*o**3 - 3*o**2 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -255*2*3\/(-18). Find the second derivative of -r*l**4 + 87*l**4 - 8*l + l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2960 < 762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -213.8 (b) 1 (c) 2 (d) -1\/2 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3334 divided by -51702.\nAnswer: -1667\/25851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/9 + 7\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 6}. Give prob of sequence uh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8961?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 29056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*b + 8 + 88*b**2 + 1243*b**3 + 4 - 613*b**3 + 2*b**2 - 622*b**3.\nAnswer: (b + 12)*(2*b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.133 in -3.75, 0.5, -1\/4, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*s - 11 = 105, -s + 2 = 0. Suppose 6*k - 2*k = f. Let h(c) = -k + 2 - c**2 + 2 + 3*c. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose 5 = -h*l + l. Suppose l*t + 903 = 8*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.02913, 2, 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-156))\/7*(206 - 178).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*v**5 - 3*v**2 + 415*v - 415*v wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 54 = -2*z. Suppose -4*a + 5 = -z. Suppose -9*u - 5*t = -4*u - 20, a = 5*u - 2*t. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**4 + i**2 + 2*i + 1. Let d(f) = 2461*f**4 - 12*f**2 + 1654*f - 12. Let a(k) = -d(k) - 12*p(k). Find the second derivative of a(h) wrt h.\nAnswer: -29964*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5811313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 14*a = -9545. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 2, z: 8, m: 1}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*n + 6. What is the tens digit of n\/(-3*1\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 649 = 120 - 239 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = -2. What is the common denominator of h\/7 + (-75)\/154 and (6012\/(-11690))\/(1 - 11\/7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1781 = 26*i - 1651. Does 44 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37018161079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -96, -218, -390?\n\"Answer: -25*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291 - 291.2. Which is the fourth biggest value? (a) 3 (b) 1 (c) -5\/12 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27392 and 5888?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 0.17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-5) + -11244*5\/(-100)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1336608 and 5\/2004912.\nAnswer: 4009824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2) + 2 + -38*21\/(-315)*15\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - d = -63, -3*j + d - 2*d = -48. What is the remainder when 16 is divided by ((-24)\/(-20))\/(3\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 0 (c) -1 (d) 39077 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7163592 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**4))\/(r**6\/r))**42)**14 assuming r is positive.\nAnswer: r**(-5292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9285 - 27883 + 9312 + 9286 + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let y(a) = 1509*a**2. Give y(t(n)).\nAnswer: 6036*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*r - 566, 2*n - n + 5*r = 217. Let o(s) = 5*s - 5. Let q be o(2). Suppose -n = -q*y + y. Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -85*l**4\/12 + 115*l**3\/3 - 60*l**2 - l + 168. Determine i so that s(i) = 0.\nAnswer: 12\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 + 3*y - 5. Let u be x(6). Suppose -g + 5*g = 0. Is 0 + g + 0 - u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 5. Let w(c) = -126686*c - 29 - 35 + 126726*c. Suppose -6*q + 0*q + 30 = 0. What is q*w(t) + 64*z(t)?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) 20721 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {l: 3, m: 1, k: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 14 + 9 - (144 - 145).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 183*p**3 - 5*p**2\/2 + 1494*p - 3373. Find the first derivative of l(x) wrt x.\nAnswer: 1098*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3398*s**4 + 1224 wrt s.\nAnswer: -13592*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138.285 - -7.765. What is j rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 23. What is the nearest to u in 4\/7, 1\/6, -1\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9450818 by 55922.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:47 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149188 and 708643.\nAnswer: 2834572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*b + 7*b - 6 - b to the form x*b + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0241 - -842.0241. Let h = q - 817. What is the nearest to 1 in h, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let w(d) = 4*d**2 + d + 4. Let m(l) = -l**3 - 21*l**2 - 6*l - 21. Let h(b) = 2*m(b) + 11*w(b). Let i = 0 - 1. Give i*f(a) - h(a).\nAnswer: 2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.3 + -35. Which is the closest to t? (a) -0.2 (b) -2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426055.\nAnswer: 5, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyyydyyyyd. What is prob of sequence dy?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Suppose f = -j - j + 14. Let m(g) = 7 + j*g + g**3 - 5 + 0*g**3 - 7*g**2. Give m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 30*h**2 - 80*h + 4590. Determine r(32).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 2*l**2 + l**2)*(5*l - 18*l - 50*l) to g*l + k*l**2 + z + t*l**3 and give t.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g. Let z(k) = 20*k. Let h(l) = 8*n(l) + 3*z(l). Let b(u) = 8*u. What is h(b(c))?\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111864900 divided by -12.\nAnswer: -9322075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114589562 and 1.\nAnswer: -114589562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 6 + 1. Let h be (20\/25)\/((-14)\/u). Which is the closest to h? (a) 0.2 (b) -0.4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372489 + 171511 = 4*y. What is y rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.64*-0.1683686\nAnswer: -0.444493104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1664317 divided by 6.\nAnswer: -1664317\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 - -163. Let o(u) = q*u + 0*u + 138 - 141 + 10*u**2. Let p(g) be the first derivative of -2*g**3\/3 + 26. What is o(p(s))?\nAnswer: 40*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-100)*(-53)\/(424\/48).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-113)\/2 - -39*1092\/1183\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + w**3 + w**3)*(3 - 2*w**2 - 3 + (-4*w + 2*w + w)*(3 - 3 + w) + w - w + w**2 - 6*w**2 - 440 + 4*w + 440).\nAnswer: -16*w**5 + 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 0*r**2 + 4*r**3 - 5*r**3 - r**2 - 4 to f + j*r**2 + d*r**3 + q*r**4 + l*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k. Let l(a) = -23*a + 12. Let y(g) = 28*g - 8. Let s(c) = 3*l(c) + 4*y(c). What is s(p(o))?\nAnswer: 215*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482 + 1482 + 24325*r**3 + 24329*r**3 + 24318*r**3 - 72978*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4 - 3 + 1 + c. Let o(l) = 1. Let h be (-6)\/(-4)*(8 - -198). Let a = h - 308. Give a*f(r) - o(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15256*g**2 + 20*g**3 - 15256*g**2.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(6\/2)\/(-36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(121) - (sqrt(121) - -1*sqrt(121)*1)) + sqrt(121))\/(sqrt(11) - (sqrt(11) - (sqrt(11) + 1*sqrt(176)))) + 1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*k = -9, 7 = 2*m + k - 8. Solve 0 = 7*j - 4*j + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 4, d: 7, s: 1, r: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 - 6*q - 2. Let n be k(-4). Suppose -123 = -2*p - 5*u, 3*u - 113 = -n*p + 4*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*t = 2, 4*r + 4*t + 2 = -6. Let g be ((-10)\/6)\/(r\/(-6)). Suppose g = 4*o + 21, -h - o = -96. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10. Suppose 2*o - 4*g = 16, w*g = -5*o - g + 73. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*l - 32, 5*s + 2*l - 28 = 24. What is the least common multiple of s and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5113156 is divided by 1937.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 0.0791998013.\nAnswer: -1.9208001987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:08 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.6 (c) -2176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701579?\nAnswer: 701579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398614*k**3 - 2*k**2 - 72157*k - 2.\nAnswer: 2391684*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/31, -1, 1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90769171 or 90769172?\nAnswer: 90769171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*w = -439*w + 76760. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 12*d**2 - 44*d + 17. Let f be a(-15). Let l(c) = 2*c - 64. Let k(h) = 2*h - 65. Let t(j) = f*k(j) - 3*l(j). What is the units digit of t(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, 106, 11.\nAnswer: -1, 2, 3, 11, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 3. Suppose 60 = 5231*n - 5216*n. Let w(f) be the second derivative of f**2 + 5*f. Determine n*l(p) + 5*w(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 233 = 3*u. Let w(k) = k**3 - 6*k - 2*k**2 - 9*k + 347 - 342. What is the remainder when u is divided by w(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + y**3 - 5*y**3)*(-2*y - 2*y + 5*y + (0 - 3 + 4)*(-12 + y + 12)) as p + r*y + h*y**4 + u*y**3 + x*y**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 7, -9\/2, 0.5, 31.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l - 231*l + 56*l + 55*l + 54*l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*o - 5*k + 6, -5*o + 15 = -5*k. Let y(q) = -o*q**2 + q - 3*q + 11 - 7. Give y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/263248 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -51. Let c = s - -33. Are c and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d - 76. Let y be z(5). Let x = 23\/3 - 121\/15. What is the biggest value in 3, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 19380920*u + 23476253752900 = 0. Calculate u.\nAnswer: -2422615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + 232\/(-24))*(-3)\/4. Let z(m) be the second derivative of -14*m + 0 + 2\/5*m**g - 1\/3*m**3 - 7\/30*m**4. Factor z(j).\nAnswer: -2*(j + 1)*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:38 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 10*i = -4. Suppose 109*a = 108*a + i. Sort 5, -1, 3, a in descending order.\nAnswer: 5, a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/((-40)\/56*11\/(-5)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -0.5, 1\/4, 0.193 in descending order.\nAnswer: 5, 0.4, 1\/4, 0.193, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 61\/4 - (10 + (-117)\/12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -1.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4999302366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 o when three letters picked without replacement from {a: 3, o: 2, q: 2, m: 6, g: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4000*q + 3998*q = -26 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22144623 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1161113*k**2*v - 35*k*v + 23180*k wrt k?\nAnswer: 2322226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62971205 to the nearest integer?\nAnswer: 7935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 2266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o - 67. Determine z(-10).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 28.4. Let u = 554 - 557. What is the second smallest value in u, f, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -1032128?\nAnswer: -1032127.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484 a factor of 106805504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10373369.\nAnswer: 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(847))**2 + 3 - (4*sqrt(112)*5 + sqrt(112)).\nAnswer: -84*sqrt(7) + 21178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 28*t - 70. Is 3 a factor of u(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 13*q**2 - 11*q - 8. Let w be x(-7). What is the common denominator of (68*(-3)\/30)\/((-196)\/(-15)) and w\/90 + (-466)\/72 + 0?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/40 and -29\/500.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10926, 43841, 98700, 175503, 274250, 394941?\nAnswer: 537576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.435 - 1.435. What is the nearest to -2 in j, -8, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let g be (3 - (r - -2)) + 7. Solve 4*n + 2*j - g = -0*j, 2*j - 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -y + 2, -3*y - s + 22 = 2*y. Suppose 0 = -5*j - 20, -y*j + 972 = 4*c - 5*j. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v + 58*v + 12*d = -9*d - 280, -5*v + 31 = -2*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2934 or 55743\/19?\nAnswer: 2934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3885 divided by 6\nAnswer: 1295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7695*y + 2185389. Determine c(-284).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {w: 2, d: 2, j: 8, n: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1088)*-2 + 0 - sqrt(1088))*-1 + (sqrt(1088) + -1 - sqrt(1088)) + sqrt(1088) + sqrt(1088) + -5 + sqrt(1088) + -1 + 0)**2.\nAnswer: -672*sqrt(17) + 39222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103440 (base 5) to base 3.\nAnswer: 2120021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65578116\/17 or 3857537?\nAnswer: 3857537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31156129?\nAnswer: 137, 277, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 - 35*z**3 - 600*z**2 - 1820*z - 1600 = 0. Calculate z.\nAnswer: -5, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1 = -q, -q - 5469*x = -5466*x - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -622482514659.\nAnswer: -622482514658.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 328967*z. Let c(p) = -367*p**2. What is i(c(n))?\nAnswer: -120730889*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 + 3390 = 99*j - 730. Let h be (0 + -1)\/1 - -5. Suppose -2*o + 9 + 13 = 3*l, h*l = 4*o + 36. What is the remainder when j is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 + 12 = 0, -18 = 2*q + x. Let a be (-1 + q\/(-3))*(-198)\/(-88). Find the third derivative of -5*p**2 + 3*p**2 - 5*p**2 + 9*p**a - p**6 wrt p.\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**3 - 5*l**2 + 5*l + 15. Let h be a(-4). What are the prime factors of (29 - h)*2\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*h + 15. Let a(n) = -h*n**2 + 11*n**2 + 26*n**2 + 0*n**2. Let r(f) = f**2. Give r(a(s)).\nAnswer: 1089*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(5\/(-250)*-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/5)*q*q\/(q\/(q*q*q*q\/q**4*q))*((q*q**(2\/3)*q*q*q)\/q)**(-47) assuming q is positive.\nAnswer: q**(-2543\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c + 320 = -54*c. What is the remainder when 82 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(525)*1 - sqrt(525))*6)\/((sqrt(84) + sqrt(84) + (sqrt(84) + sqrt(84)*2)*2)\/sqrt(12)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 42. Suppose 11 = -l*x + 71. Let i = x + 4. 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 16258.6691 rounded to the nearest ten?\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*g - 51 = -2*g, -2*g = -5*q + 52. Suppose 0*b - 150 = -3*b. Calculate the greatest common divisor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 1, w: 2}. Give prob of picking 1 d and 2 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -27. Let b be ((q - -7) + -9)*-1. Which is smaller: b or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -57, -62, -3, -2, 1.\nAnswer: -62, -57, -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 6*b + 20. Give m(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625 + -2.\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1375*j + 620 wrt j?\nAnswer: -1375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269315 divided by 6.\nAnswer: 269315\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:02 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)*q*q)**48*(q*(((q\/(q*q**(3\/14)))\/q)\/q)\/q)\/(q\/q**(1\/3)*q))**(13\/4) assuming q is positive.\nAnswer: q**(8255\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*d + 7 + 2*d**5 - 10 + 2*d**5 - 4*d**4 + 4*d**4 + (-d**3 - 2*d**3 + 2*d**3)*(4*d + d**2 - 4*d) - 2*d + 2*d + 2*d**5 - d**3 - 2*d**5 + d**3.\nAnswer: 3*d**5 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3 - 346*v**2 + 16800*v - 155232 = 0.\nAnswer: 12, 77, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11000111011100110100 (base 2) to base 8\nAnswer: 3073464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 9. Let c be v(-9). Suppose 493 + c = 5*u. List the prime factors of u.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(11\/(-5) - -2). Let s(n) be the first derivative of -n**4\/4 - 2*n**3\/3 + 3*n**2\/2 + 3*n + 1. Let m be s(-3). Solve -m = -2*x + w*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2259 + 2259 - g. Let v(k) = -56*k + 28. Let c(w) = w - 1. Let y be (-165 - 0)*2\/(-6) + 1. Let f(s) = y*c(s) + 2*v(s). Give f(u(i)).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 107. Suppose 2*o + k - 323 = 0. Let a = o - 76. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*i + 8 + 17 = 0, 10 = -u - 2*i. Let n(r) be the second derivative of u*r**4 + 0 - 1\/20*r**5 + 1\/6*r**3 - r + 0*r**2. Let n(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1435282 + 1435926.0265. Let v = m - 644. What is v rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100001110010001 (base 2) to base 10.\nAnswer: 213905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*s - 21 = 2*r, -5*s + 10 = 0. Suppose 0*v = 3*v - 2*p + r, -p = -4*v - 12. Let i = v - -7. Solve -4*k = 5*n + i, -2*n + 0*n - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18876?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -285, -5, -3\/8, -13 in descending order.\nAnswer: -3\/8, -5, -13, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/36*6)\/((-11)\/11)*-38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 10.7733662\nAnswer: -3.23200986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0773802 times -1\nAnswer: 0.0773802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 5, u: 5}. Give prob of sequence umuv.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -189, -103, 27, 207, 443, 741?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/34740 and -19\/526890.\nAnswer: 3161340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.2 (c) -3 (d) 25 (e) 1.035 (f) -14 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuu when three letters picked without replacement from {u: 1, c: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 52. Let c be b(10). Suppose -c*t - 2*n = -36 - 10, -3*n = -3. Calculate the highest common divisor of 242 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q. Suppose q = -3*x + v + 2, 4*x - 2*v + 6 = -5*v. Which is the closest to x? (a) -1\/4 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3742 - 50.9\nAnswer: -51.2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -16870 to the nearest 100.\nAnswer: -16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -56, 16500 in decreasing order.\nAnswer: 16500, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/13, 5, 0.02, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -461, -1946, -4449, -7970, -12509, -18066?\n\"Answer: -509*q**2 + 42*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -3, 4, -12, -4.\nAnswer: -12, -11, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -169313 smaller than 287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 51*k**2 - 711*k + 38045. Determine c(50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -101. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 2*i + 4*i)*(479*i - 239*i - 934*i) - 3*i**2 + 5*i**2 + 0*i**2 - 1 + (i + 2*i - i)*(4*i + 0*i - 3*i) to the form w*i**2 + y + n*i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - p + 21, 29 = 4*z + z + 4*p. List the prime factors of 676\/6 - (z\/3 - 2).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1280, -5156, -11632, -20714, -32408?\nAnswer: -46720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-9 + 10))\/(5\/(-1)). Let v(n) be the first derivative of -1\/2*n**4 + 3 - x*n**5 + 0*n + 0*n**2 - 1\/3*n**3. Factor v(i).\nAnswer: -i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*b**3 + 4147*b - 4147*b + (2*b**3 + b - b)*(-3 + 3 + 2) + 2*b**3 + 2 - 2.\nAnswer: 180*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 215*c. Let s(u) be the first derivative of u**2\/2 - 112. What is s(i(o))?\nAnswer: 215*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21 and 64\/17511.\nAnswer: 17511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/11)*f)\/f**(-6))\/(f*f*f**3)**(4\/25) assuming f is positive.\nAnswer: f**(356\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 10.06357.\nAnswer: -1.006357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**10*u)\/u))\/(u**(-2)\/u)*(u*u*u**(-26))\/(u**16\/u) assuming u is positive.\nAnswer: u**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.91094 - 0.08906. Let b = -1.88 + 2. What is the biggest value in -0.1, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -0.1\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 1)*((-13 - 20 - 15)*(-k + 4*k - 2*k) - 2*k + 1 - 1).\nAnswer: 350*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 16. Let n be h(5). Let u be (1 + n)*(-48)\/32. Let v be 0 + (-20)\/45 + (-2)\/u. What is the closest to -2 in v, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -21. Is 4 a factor of (u - 15)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 6*y**4 + 5*y**4 + (-2*y**2 + 0*y + 0*y)*(-2*y**2 + 0*y**2 + 4*y**2) + y**4 + 0*y**4 + y**4 + (10 - 19 + 81)*(-y**4 + 4*y**3 - 4*y**3).\nAnswer: -76*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/60 + o**5\/30 - o**4\/12 + o**3\/6 + 2*o**2. Let c be z(1). Solve 5*p - 4 = -4*n, -3*n + c = 3*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18613928 divided by 71\nAnswer: -262168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 smaller than -11.409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.6. Let h be 27\/(-21) - -3 - 2. What is the second biggest value in h, -0.5, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/3, -1\/23 in decreasing order.\nAnswer: 5, 5\/3, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015416 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15812\/(-21440) - (0 - (-1)\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 11 + -2 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2172505424 + 15185812975493\/6990. Let i = -2\/1165 - o. Find the common denominator of i and -55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-147)\/18 - -7)*-84?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 + 10*b**2 - 15*b**2 - 4*b**3 - 2*b**4 + 3*b**3 as k + z*b**2 + s*b + u*b**3 + l*b**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 4, 1, -0.45?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 80) + -6 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -3 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 596 - 589. Let f be (-90)\/(-180)*2*b. Let d(o) = o**3 - 4*o**2 + 5. Let x be d(4). Solve -f*r + 4 = -x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -1, -0.3, 79?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.15885ml in litres?\nAnswer: 0.03615885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14103 is divided by 1084.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 7*q**2\/2 + 9*q + 8. Let v be (-1)\/((-1)\/(-8)) + -1. Let l(m) = -3*m - 4. Give v*l(d) - 4*y(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.71915 rounded to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 656\/(-24)*(1 + -13). What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 438*b + 3. Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -48. Let m be ((a\/12)\/(-5))\/(39\/(-52)). What is d in m*d**2 - 1 - 2\/3*d = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v**3 + 9*v**2 - v - 3. Let c(s) = -29*s**3 + 14*s**2 - 2*s - 5. Let g be ((-4 - 0) + 3)*(22 + -27). What is g*c(q) - 8*z(q)?\nAnswer: 7*q**3 - 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-30 - (7 - 5 - 17))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089534183 rounded to 7 dps?\nAnswer: 0.0008953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 146758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 5*c**2 + 3*c + 5. Let k be b(-7). Let h = -174 + k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in 3\/8, -1, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/40*-4 + -2. Let v = 2.02 + -2. Which is the biggest value? (a) 0.1 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 39*w**2 + 1322*w + 5282. What is the remainder when f(-4) is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**7\/2520 - d**6\/144 + d**5\/120 - d**4\/24 + d**2. Let b(x) be the second derivative of k(x). Let f = 6 - 10. What is b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 19*m**5\/10 - m**4\/6 + 8*m**2 + 28*m. What is the derivative of w(p) wrt p?\nAnswer: 114*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) 5\/11 (c) -228 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 12*d - 4. Let y be i(-11). Suppose 0 = -2*u + y*u - 95. Let h(z) = z + 9 - u + 10. Calculate h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((0 - -8) + -13 + (2 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and (1 - -6) + (-29848)\/(-41).\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302395 divided by -169\nAnswer: 302395\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 8*b + 19*b - 13*b**2 - 11*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -94.29?\nAnswer: -94.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30443575290.5063 and 4.\nAnswer: 30443575294.5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)**2*6 + (sqrt(99)*-1)**2*2.\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(1\/2)*g*g)*g**(-3\/7)*g*g**(-1\/11)\/(g\/(g**(-1\/6)*g)) assuming g is positive.\nAnswer: g**(-274\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 4 - -17) + 3. Solve 3*n + 2*q = -k, q = n - 3*q - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 57, 0, 58, -1 in descending order.\nAnswer: 58, 57, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {y: 2, l: 3, r: 1, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 18 + 250 + 2*s**4 + s + (s - s + s**2)*(0*s**2 + 0*s**2 + 2*s**2).\nAnswer: 4*s**4 + s + 223","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-23 - 10) - (2 + -102)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.156 + -0.1. Let b = 0.1 - 0.1. Let k = b - h. What is k rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126250 divided by -12625.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -0.02 (c) 4840 (d) -3 (e) -4 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 29. Let d = q - -22. Let g = -10.99 - d. Sort 1\/4, g, -2 in increasing order.\nAnswer: -2, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {s: 9, p: 2, r: 1, h: 1, e: 2, z: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 201222 (base 3) to base 7\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:59 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -2 - (-9 - -47 - 84)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4 - 9*c - 2*c**2 + 8 - 1\/3*c**3. Let a(n) = 20*n**3 - 4*n**2 - 20*n - 44. Let b(t) = -5*a(t) + 24*d(t). Factor b(s).\nAnswer: -4*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 21\/(-9). Suppose 0 = 4*t + l*n + 12 + 6, -n = 4*t + 13. Does 14 divide 36 - (-2 - 2 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 17191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 - 2*f - 2. Let a be z(4). Calculate the common denominator of ((-2)\/a)\/(25\/(-15)) and (-30)\/8*(-6)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 32 - 122. Let d = 43 - t. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133613 > -133617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = -d, 2*z + 22 + 11 = -5*d. Let v(f) = -f**2 + 7*f + 5. Let r be v(7). Suppose -20 = -r*k - 0*k. Sort d, k, -4.\nAnswer: d, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2533\/27 + 557\/6. What is the common denominator of -41\/486 and f?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-6 - -8 - (6 + 0)). Let v(f) = 3*f**2 - 14*f**3 + 0*f**2 + l*f**3 + 3. Let b(q) = -q**3 - 2*q**2 - 2. What is 3*b(m) + 2*v(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 190787496 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**13)\/b)\/b*b*b\/(b*(b\/b**(-10)*b)\/b) assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51284791 to the nearest integer?\nAnswer: 7161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 95751810281 minus -2.3?\nAnswer: 95751810283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**20*f)*f*f\/f**(-4)*f*((f\/(f*f*(f*f**(-16)*f)\/f)*f)\/f*f)\/(f*f**(-19)*f) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 3*y - 18. Suppose 24 = x - 3*x. What are the prime factors of u(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4416 and 1104?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/455*(84\/5)\/(-3)*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 2\/17, 15 in descending order.\nAnswer: 15, 2\/17, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115240, -230479, -345718, -460957, -576196?\nAnswer: -691435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-30)*(-10)\/(-3) + 4. Factor 16*p**2 - 3*p**3 - 6*p**2 + 2 - 13*p**2 + 10 + u*p.\nAnswer: -3*(p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k + 1. Let a = 99 - 97. What is the remainder when 20 is divided by i(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*q = 6, 0 = -6*i + 5*i + 2*q - 7. Solve p - 2 = -i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 1. Let y be g(1). Suppose 0 = 4*s - y*q - 62, s - 24 = -2*q + 7*q. What is the highest common factor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4829, -10258, -15687, -21116, -26545?\n\"Answer: -5429*g + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -1, 11 in increasing order.\nAnswer: -154, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*c**3*v**4 - 2*c**3*v**2 + 2*c**3 - 514*c with respect to v.\nAnswer: 128*c**3*v**3 - 4*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 6. Let h(u) = 3*u + 3 + 4*u**2 - z + 5. Let s(j) be the first derivative of -j**3\/3 - j**2\/2 - 2*j + 16. What is -2*h(b) - 7*s(b)?\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 52 + 7*j - 25 - 54*j + 12*j + 21*j.\nAnswer: -j - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034270901.\nAnswer: 3034270901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(88) - 2*sqrt(88)) + sqrt(88)))\/(1*sqrt(128)*-3)*-3.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q)**(2\/21)*(q**2*q)\/q*q\/(q**3*q)*q\/(q*q*q**1)*q**6*(q**(1\/3)\/q*q)**(-2\/57) assuming q is positive.\nAnswer: q**(3425\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*q**3 - 9223*q**2 + 3*q + 3608791 wrt q.\nAnswer: -93*q**2 - 18446*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h + 10. Let v(d) = -d**3 - 35*d**2 + 32*d - 154. Let j be v(-36). Determine x(j).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -780 or -779?\nAnswer: -780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*m + 291175154 - 291186165 = 0 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 701 - 703. Suppose 2*y - 4*o = -22, 0 = 3*y + 3*o + 2 + 22. Calculate the remainder when (41\/q - 0)*(y - -7) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 77*l - 29 + 4 - 14*l - 2*l**2 - 33*l. Let z(c) = 4*c**2 - 59*c + 49. Let n(b) = 5*a(b) + 2*z(b). What is the first derivative of n(h) wrt h?\nAnswer: -4*h + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -19) + 19 - 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 20, -9*n = -10*n - 2*c + 13. What is the remainder when 72 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.3651009 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/11810 and -47\/17715.\nAnswer: 35430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**4 - 105*m**2 + 84*m**2 - 129*m**2 + (1 + 4 - 6)*(m**4 + 0*m**4 - 3*m**4).\nAnswer: -7*m**4 - 150*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 8*t. Suppose t*v + 123 = 3*v. Let j = 182 - v. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfxrggxrgxxgxgfxgr. What is prob of picking 1 f, 1 x, and 1 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - m**2 + 29*m - 27. What is n(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 458976 and 8736.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6637\/5722 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 19. What is the remainder when 6 is divided by f\/((3 + -6)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4909.335ml?\nAnswer: 4.909335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/42 and -11\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 35*w - 2*p + 205642 = 0, -w + 51410 = p. What is the ten thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 27 + 1. Suppose 0 = f + q - 5 + p, -4*f - 3*q + 13 = 0. What is the remainder when 12 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 73 = 7. Suppose -l*q = 3*r - 132, 2*q + 3*r = -r + 64. Find the third derivative of 2*n + n**2 + 8*n - n**4 - 22*n + 10*n + q*n**3 wrt n.\nAnswer: -24*n + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154\/8*(555 + -251)?\nAnswer: 2, 3, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 5, 4*x + 3*d - 31 = 0. Let m = x - 10. Calculate the smallest common multiple of 11 and (4\/5)\/(m\/(-60)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/42 + (30 - 7) + -26.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -844, -830, -802, -754, -680, -574, -430?\n\"Answer: p**3 + p**2 + 4*p - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -4 - 16 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/96384 and -149\/1332?\nAnswer: 10698624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -5.2. Let y(w) = -6*w**2 + 5*w - 5. Let d be y(7). Let s be (-2)\/(-12) + (-4)\/d. Which is the third biggest value? (a) s (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, k: 6, w: 1, z: 3, o: 1, i: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = u + 99, -75*u + 77*u - 3*q + 28 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 5. Let s(d) = 1. Give r(p) + 4*s(p).\nAnswer: -2*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394504821 to the power of 1\/2, to the nearest integer?\nAnswer: 48934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4409425?\nAnswer: 5, 19, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3391783 to three dps.\nAnswer: -0.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 11*w + 11*w + 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r. Let u be (-2 + 2)*(-4)\/8. Let h(m) be the third derivative of -3*m**2 + 0 + u*m + 0*m**3 + 0*m**4 + 1\/30*m**5. What is h(a(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.8 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26896 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9)*2)\/((-48)\/8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Suppose 5*o - 15 + 0 = 0. Let z(p) be the third derivative of 0 + p**2 + 0*p**o + 1\/60*p**5 + 0*p**4 + 0*p. What is z(m(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, 3, -8 in ascending order.\nAnswer: -8, 3, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 24. Calculate the remainder when 106 is divided by k(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-81)*66*33\/1815*45.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2)\/b*(b**4*b*b)\/b)\/(b**0)**(-2\/11) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 1. Suppose r - 4*l + 8 = -10, l = -4*r + 13. Let a(p) = 4*p**2 - 2*p. Give r*w(i) + a(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(243)*2 - ((sqrt(21)*1)\/sqrt(7) + sqrt(3)) - ((sqrt(6) - (sqrt(96) - sqrt(6)))\/sqrt(2) + -5)**2.\nAnswer: -37 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(o + 4*o - 3*o) - 22*o + 6*o - 6 + 15*o - 1 + o + 1 - o + 1 - 1 + 1 - 1 + o + (3 + 5 - 6)*(-o + 3*o - 3*o).\nAnswer: -6*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 13*d - 391. What is n(13)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 5*u + 5. Suppose -y = 0, 4*y - 31 = 3*a + 29. Let n be -3*(a\/12)\/1. What is t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 543*q - 3 - 547*q + 1111*q.\nAnswer: 21*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.082 and 14.8.\nAnswer: -1.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 654047801, 1308095603, 1962143405, 2616191207?\n\"Answer: 654047802*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -417618030 rounded to the nearest one million?\nAnswer: -418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 136*y + 509. What is the thousands digit of d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*u + 45091 = -29074 - 14549 + 16670 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 828, 1238?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:51 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-192)*(-112)\/2100.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1)*(10 + 1 - 2)*(-48 + 136 - 4*r + 2*r).\nAnswer: -72*r + 3168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 4*q, q = 2*g + 2. Let p be g - ((-1 - 0) + 3). Let x be (-7)\/p - 6\/(-9). Solve x*l = 7 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/234 + 3 + 246\/(-78). What is the nearest to 2 in k, 0, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (-10 - (10 - 17))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294 - -364. What is the greatest common divisor of p and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*b - 406, 4*b = -4*n + 106 + 270. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(576) + sqrt(576) - sqrt(576)) + 2*sqrt(576)*-2)\/(((sqrt(360)*1)\/sqrt(10) - sqrt(36) - sqrt(36))\/((sqrt(72)*-2)\/sqrt(6) + sqrt(12))).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -931, 2, 8, -35 in increasing order.\nAnswer: -931, -35, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -126*-0.3\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(1\/(-14)). What is the remainder when (9 + -75)*(-1)\/3 is divided by (0 + -1)*-1 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j - 8*j - 13 + 31.\nAnswer: 30*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xzzzzxxxxzxzxxxxxzx?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 11118843?\nAnswer: 88950744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tss when three letters picked without replacement from {f: 2, t: 3, i: 1, s: 2, z: 2, d: 10}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 5*v = -13, -v + 6 = -4*s. Let l(x) = x**3 - x**2 - 1. Let m(c) = 8*c**2 - 8*c + 4. Let w(k) = s*m(k) - 4*l(k). Solve w(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 628 - -219. Suppose -2*i = -q + 153. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, 12, 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 4. Is 8 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 75*y**2 + 907*y + 84. Give w(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5.92. Let n = -0.02 - b. Let o = -0.14 - n. What is the second smallest value in -0.5, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, -10, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*(-16)\/(640\/(-100)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.218 + 681.082. Let r = -704.722 + m. Let b = r + 0.022. Round b to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69723 is divided by 379?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:12 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 3 + 1*-4*sqrt(1584).\nAnswer: -48*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.718*4\nAnswer: 2.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-18.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -1*8250\/(-270))\/((-5)\/186)?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 22935 = 5*i, 2*a - 9709 = -3*i + 4052. Calculate the greatest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2414004 + -48576.822\nAnswer: -2462580.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -745*w**2 - 3405\/2*w - 15\/2*w**3 - 485 = 0?\nAnswer: -97, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 4011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 21*n - 102. Let i be l(11). Let j = i - 128. Solve -j = -3*x + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -42453?\nAnswer: 42460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from {q: 3, s: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9552*x - 333976. Calculate u(35).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4 + 610078*f**3 - 749784*f**2 - 2?\nAnswer: -24*f + 3660468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*n - 9*n + 569 = 0, 4*m - n - 445 = 0. Which is smaller: 111 or m?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 17) + 19 - (7 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -29.4964?\nAnswer: -29.4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10545*v - 43545 - 52403 + 12423 + 20255 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -8. Let h(v) = 3*v - 3*v - 3*v - 2*v + x. Let l(g) = -g + 1. Give 2*h(d) - 11*l(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**3*v**3 - 4*h**3*v + 13*h**2*v**3 - 43*h**2*v + 2*v**4 + 2*v**2 wrt v.\nAnswer: -96*h**3 + 78*h**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1030 + -915. What is the remainder when 228 is divided by g?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*o**3 + 557*o + 161*o - 718*o - 19*o**3.\nAnswer: 57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 = -h + 2, -4*h + w = 4. Let i(z) = -7*z + 48. Let n be i(7). Is n bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 23. Is 4 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 11789732*g\/7 + 17374722578978\/7.\nAnswer: 2*(g - 2947433)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011577 to 5 dps.\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 divided by -55157.\nAnswer: -686\/55157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/54 + 14\/(-12). Sort q, 1, -2\/7, -6 in increasing order.\nAnswer: -6, q, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 10.7556\nAnswer: -86.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + -0.1. Let m = 60 + -60. Sort 2, m, l.\nAnswer: l, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -22. Solve s + m = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17448346?\nAnswer: 2, 19, 459167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/500)\/((-47)\/(-8))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 13) in base 6?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.8924858836 + -0.0876\nAnswer: -18.9800858836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/40 and -59\/12216?\nAnswer: 61080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(1 - 1 - 2*j) + (3 - j - 3)*(-2*j + 5*j + 0*j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w + 232 - 84 + 143 + 2971*w**2 wrt w.\nAnswer: 5942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10851 - 5798. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/4 + 1*-2. Suppose 6 = -w*c - 2*c. Let p = 0.5 - 0.8. Put 5, p, c in increasing order.\nAnswer: c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -27, 16, 59, 102?\n\"Answer: 43*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -49. Let i = 1.2 + -0.2. Let v = i + -0.9. Which is the nearest to v? (a) m (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(3\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 12 + 115*o - 60*o - 16*o + 21*o**3 - 45*o**2.\nAnswer: -3*(o - 4)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -379?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1110*z + 7793. Calculate g(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (23 - -9) + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 1:39 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 0) + -35 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488*z**3 - 17*z - 6*z + 2*z + 493*z**3 + 2*z**2 to the form f*z + s*z**2 + w*z**3 + g and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-6))\/((-4)\/(-12)). Let w = -3 - f. Which is smaller: -1\/9 or w?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -7. Let w = t + 14. Suppose -q + 2*z - 3*z = -2, -q - 5*z - w = 0. Solve b + q = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 27 (b) 0 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 95 - g + 36 to d + t*g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, s: 10}. What is prob of picking 2 s and 2 x?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7707317 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**14\/y)\/y)\/((y*(y**2*y)\/y*y)\/y))\/(y\/(y*y**7)*y*y*y**(-6\/11)\/y) assuming y is positive.\nAnswer: y**(182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 505810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -437, -425, -399, -353, -281, -177, -35?\n\"Answer: t**3 + t**2 + 2*t - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + 1 - 0). Let x(p) = -p**2 - 3*p - 4. Let d(y) = -114*y - 198. Let o(a) = 49*a + 85. Let s(m) = -3*d(m) - 7*o(m). Determine l*x(c) + 3*s(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 310 + 2172. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t - 1. Let a be n(0). Let k be (-95 - -92)\/((-3)\/(-1)). Does 15 divide (-1628)\/(-22) + a\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-12)*4\/15. Let g = 27917 + -27916. Sort j, 0.4, g.\nAnswer: j, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3, 2*m + 4*a + 112 = -3*m. Let u be m\/(-6)*(-72)\/(-48). Solve -3*n - 6 = -2*x, -u - 4 = -n - 3*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-3 + (-2 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 5*h**3 - 6*h**3)*(4*h**2 - 4*h**2 - 9*h**2) - 2*h**5 + h**5 + 0*h**5.\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:29 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*n - 2*b = -881*n - 48, 0 = -4*n - 5*b - 12 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -78?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1107 (base 15) to base 14\nAnswer: -1459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/120120 and 89\/34320.\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14228, -1.4, 0.5, -2\/3 in increasing order.\nAnswer: -1.4, -2\/3, 0.5, 2, 14228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2 - 2 - o + o - o + (6 - 1 - 4)*(3*o - 2*o - 3*o))*(-3 + 2 + 14) to d*o + k and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 - 8*o**2 - o + 2*o as q*o + l*o**2 + n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.2 - 94. What is the third smallest value in -0.4, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/28 + 220\/(-385)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose 2*c - 46 = -3*q, 0 = -0*q - 4*q - 5*c + 73. Solve -3*y = -m*y - q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5969?\nAnswer: 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*a - 3 = -0, 2 = -2*a. Suppose -35 = 6*y + y. Put y, 4, n in descending order.\nAnswer: 4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.554 - -32.746. Sort -3, -1, 3\/2, 0.4, n in ascending order.\nAnswer: -3, -1, 0.4, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21*j + 115. Let r be b(5). Suppose -2*q - 18 = -l - r, -q + 11 = 2*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*d + 3990, 4*c + 32*d = 29*d + 4002. Calculate the smallest common multiple of 54 and c.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327424241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 3*z**2 + 2*z + 1. Let t(w) = w**3 + 5*w**2 + 3*w + 2. Let g = -22 - -19. Determine g*t(a) + 5*d(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 4\/3*s**4 + 252*s**3 + 0 - 1528\/3*s**2.\nAnswer: 4*s**2*(s - 2)*(s + 191)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 - n - 5. Let i be j(-7). Solve 20 = i*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -15. Let c = w + 14. What are the prime factors of c\/4*6\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 3*q + 10, 0 = -4*u - 2*q. Suppose -2 + 3 = -w. Let x be w + (-1)\/5 + 1. Which is the nearest to u? (a) x (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 + 36. Let l be m(7). What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 1898, 2790, 3610, 4334, 4938?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 417 - 417. Suppose 4*d = b - w*d - 1143, -d = 5*b - 5631. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 426.955ng?\nAnswer: 0.000000000426955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(28\/220) + -66 + 58.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 10. Let s(o) be the second derivative of -o**4\/12 - 5*o + 66. Determine n(s(b)).\nAnswer: -4*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 136. Suppose 12*y = 3 + x. Sort -4, -1, 3, y in decreasing order.\nAnswer: 3, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11437760 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51942 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, 0.4, 4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose 2*v - 2 - 4 = d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42349.\nAnswer: 42349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {c: 3, t: 5, v: 1, a: 3, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1207b (base 12) to base 15\nAnswer: -72e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(612) - (3 + 2 + sqrt(612))))*-1 + -5*(-5 + (sqrt(612) - (sqrt(612)*1 - sqrt(612))) + (3*-1*sqrt(612) - sqrt(612))) + -4)**2.\nAnswer: 5220*sqrt(17) + 138541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 13 = 5*h - 8*h, 2*d = 3*h - 5. Suppose -5*t = -3*f - 5, t + d*f - 26 = -3*t. Solve 5*y - t*y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1702777 (base 9) to base 16.\nAnswer: -e72bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -10010000?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*u + 40*u = 629740. Does 185 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 2*s)*(2 + 3 - 7)*(-2*s + 0 + 0)*(-217 + 4*s + 217).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*i**2*o**2 + b*i**2*o - 7*b*i*o**2 + 54424*b*o - 3064197*i**2*o + 2*i*o wrt i.\nAnswer: -2*b*o**2 + 2*b*o - 6128394*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = 48*k + 24. What is the highest common divisor of k and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-38)\/(-4))*21\/(-18)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55257*l - 55257*l - 2*l**2 + 0*l**2 + l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/117 (b) -3\/8 (c) 3\/235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4)*r**(-6))\/(r**(2\/7))**28 assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = -3*p + 47, 3*f = 2*p - 33. What is the smallest common multiple of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468600 and 1260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(12\/(-2))\/12*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z. Let o be ((z - -2) + 0)\/(-1). Let p = o + 25. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3272 = 4592. Let i = 4061\/2 - s. Let y = i + -63. Which is the closest to -2\/7? (a) 3 (b) -3\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-4)\/18))\/((-555)\/(-740)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2140*g**3 - 2141*g**3 - 2149*g**3 + 6413*g**3.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 259, 407, 561?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6259.7 + -6260. What is the third smallest value in -1, p, -0.8088?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*v, -w - v + 7 = 0. Suppose -i = 4*m - 0*i - 82, -w*i + 26 = m. Solve 2*l - m = -4*u, -24 = -2*l - l - 4*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**10\/680400 + b**9\/272160 - 7*b**5\/12 - 21*b**2. Let p(t) be the third derivative of y(t). Factor p(i).\nAnswer: 2*i**3*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:18 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -229\/829920 and 53\/153140.\nAnswer: 25727520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*75225421.\nAnswer: 827479631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 3*m**2 + 66*m. Let r(h) = -h**2. Calculate -o(k) + 3*r(k).\nAnswer: -3*k**3 - 66*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 7*u**2 - 7*u - 4. Let c be j(-6). Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(1 + sqrt(1008) + 4 + -2) + -3*5*((sqrt(1008) + 0 - sqrt(1008)) + 3) + -5)**2.\nAnswer: -2352*sqrt(7) + 6433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a**5\/5 + 580026*a**4\/5 - 38696*a**3 - 876504*a**2 - 1804448*a\/5 + 3093504\/5 = 0 for a.\nAnswer: -32224, -2, -4\/3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1515705 and 57596790?\nAnswer: 57596790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54416 is divided by 54391.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8988, 10751, 12514, 14277, 16040, 17803?\nAnswer: 19566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-25263)\/14)\/9. Suppose -3251 = -4*u + 3*o, 4*u + 3*o + s = 3670. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1347 divided by -2\nAnswer: -1347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - 1 - 4 - -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 3*m + 1. Let v be l(-5). What is the greatest common factor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 45 - 8 = 0. Suppose -3*m - 76 = 2*n, 2*n + m = 6*n + 138. Let u = z + n. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16764681?\nAnswer: 3, 5588227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) + sqrt(143)*2 - sqrt(143)) + sqrt(143) - (sqrt(143) + sqrt(143)*1)*1)\/(-2*sqrt(22)\/sqrt(2)*-3).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t. Let j = 31 + -29. Give c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(17\/(-9) + 2). Suppose -4*b - o = -3*m, m - 5*m - 4*b = 4. Let w(i) = 0 + 2 + 7*i**m - 2. Let h(u) = -2*u. What is w(h(f))?\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83291, -83286, -83281, -83276, -83271, -83266?\nAnswer: -83261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/22 in 3\/7, 165, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 2*c = 12*j + 122192, 0 = -4*j + 4*c + 97756. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:33 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k - 54. Give q(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -2a44336?\nAnswer: 2a44326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -17 (c) -5 (d) 0.07 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 < 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/2 of a microgram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5856 + 6436. What is the lowest common multiple of 1160 and k?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57259351 is divided by 1023.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 84*b + 20. Calculate the remainder when 75 is divided by n(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66646*z**2 - 33343*z**2 - 33336*z**2.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - -5) + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 3)*(-1 + 1 - 2) + 3 - 2 - 2)*((7*d**2 + 8*d**2 + 0*d**2)*(4*d - 2*d - 5*d) + 5*d**3 - 40 + 40).\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/3 - 68*o**2\/3 - 24*o = 0?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 15*b**2 + 2*b**2 - 41*b**2 + 62*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11887\/3 + -3961. Which is the second biggest value? (a) -2 (b) -1\/3 (c) x (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from hihihhhhhhhi?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*k - 168*k - 3470 = -78062. Calculate the remainder when 1186 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 43 = 3*z, 3*z - 61 = -4*y - 0. Let n(d) = -y*d + 33*d - 12*d + 10 - d**2 + 2*d. Calculate n(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216613 and 7?\nAnswer: 1516291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102714697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:51 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17522668 divided by -4380667.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10*93\/(-1240)*120\/(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131599381.\nAnswer: 11, 67, 97, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17354 - -7972?\nAnswer: 24216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2694178 - 56305822. What is j rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*b - 16, -2*b + 13 = 5*y - b. Let m be (3\/2)\/(1\/y). Suppose -4*g + 209 = -0*p + m*p, 4*g - 3*p = 215. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407039982.\nAnswer: 2, 89, 7904719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8170.915cm to kilometers.\nAnswer: 0.08170915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 1077?\nAnswer: 1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*h + 16. Let m(n) = -n**2 + 6*n + 4. Let k be m(5). Let t = k - 7. Solve c = -t*c + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/5 + k**4 - 33*k**3\/5 + 27*k**2\/5 = 0?\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from alahjalaj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3)*k)\/k)**(1\/32))**(-1\/14) assuming k is positive.\nAnswer: k**(1\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - -34. Which is smaller: s or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2 = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.4 + -37.5. Let u = -5.1 + y. Let b = -0.3 - -0.2. What is the third biggest value in u, -13, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**3 + 14288*w**2 + 178044*w.\nAnswer: -4*w*(w - 1203)*(3*w + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18902 divided by 5\nAnswer: 18902\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/45 - (-29)\/9. Let v(b) = b**2 - 2*b + 1. Is v(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.055, -3\/7, 1\/7, -2\/9, 3 in ascending order.\nAnswer: -3\/7, -2\/9, -0.055, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 627 - 625. Solve -u + 2*s + 3 = 0, -2*u + 2*s + r = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r - 2*r**2 - r**4 - 2*r**4 - 5 + 7*r - 7*r**4 to z*r**3 + j*r**2 + x*r**4 + y + f*r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 + 22.946. Let j = y + -22. Which is the closest to j? (a) -1 (b) 1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-19))**(-25)\/(d**(-5)\/d)**(11\/2) assuming d is positive.\nAnswer: d**(-467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -33*l**2 - 1. Give j(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91057 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: What comes next: -524, -1046, -1568?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359828929?\nAnswer: 401, 897329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 10. Let d(u) = u**2 - 12*u + 8. Let k be d(7). Let w = k + 55. What is the remainder when g(-7) is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.09 times -235161?\nAnswer: 2137613.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 2*g + 1. Suppose 128*u + 34*u - 6156 = 0. What is the remainder when u is divided by k(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*f - 392*f + 181 = 249 + 581 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 3. Let t(s) = -4*s + 4. Suppose -3*r = -3*u - 6, 6*r = 7*r - 4*u + 7. What is r*y(v) + 6*t(v)?\nAnswer: v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -7*k**3\/6 + 281*k. Let q(l) = 12*l**2. Calculate q(v(j)).\nAnswer: 588*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 71*z + 16. Let y(o) = 138*o + 30. Let t(a) = -7*k(a) + 4*y(a). Let u(m) = -m. Determine u(t(x)).\nAnswer: -55*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*v + 8290 = -1139*v + 28630 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 3 - -1 - 0. Let g(r) = 2575*r - 18021. Let s be g(7). Solve -q = -s*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81687307 to the power of 1\/2, to the nearest integer?\nAnswer: 9038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 + 32*u**2 + 187*u - 1. Give x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15587312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**5 + 432*l**4 + 892*l**3 - 1320*l**2 = 0.\nAnswer: -3, 0, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33175 or -33093?\nAnswer: -33175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**2. Let p(k) = 92*k + 22. Let j(a) = -31*a - 8. Let m(f) = 11*j(f) + 4*p(f). What is m(y(l))?\nAnswer: -405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {s: 1, o: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = i + 99, 286*i - 281*i - 19 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 352346 (base 7) to base 3\nAnswer: 10012211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.9 + -18.89999869. Round i to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 1873*j - 28 - 2832*j + 7 - 2429*j)*(6*j**2 + 6*j**2 - 8*j**2).\nAnswer: -28536*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 1 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -2*h + 1, 5*h - q - 7 = 0. Let c be h\/(-12)*(-10 - -1). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 8*t + 472. Let b be p(18). Suppose -18 = -r + 4*m + 4, -26 = -r + 5*m. Solve b = i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233706040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((40\/30*(-54)\/(-12))\/22)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*45\/(-160)*(-10)\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279 + 359 - 52 + 424)*(10 - 10 + 9*b - b + 1 - 1 + (1 - 1 + 2)*(-3*b + b + b))*(-3*b**2 + 3*b**2 + 2*b**2).\nAnswer: 12120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 13. Let b(y) = 5*y - 6*y + y**2 - 2*y**2 - 5*y - 11 - y**3. Is 22 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let l = 21693 - 238629\/11. Which is the third smallest value? (a) -4 (b) -1\/6 (c) l (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 18. Calculate the lowest common multiple of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) + 0 + 1. Suppose 36 - 60 = -12*y. What is the second derivative of 5*o**y - 21*o**2 - 40*o - 16*o**l wrt o?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227257 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 2\/9, 0.5, 388, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 442, 3604, 12144, 28750, 56110, 96912, 153844, 229594?\n\"Answer: 448*k**3 + k**2 + 23*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17141 times -1?\nAnswer: -17141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 14793 - 21871 = -4*a, 0 = -4*a - q + 36640. Let m = a - 914. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 + 7*r**3\/3 - 9*r**2\/2 - r - 2. Let l be y(-8). What is the second derivative of l*z**2 - 7*z**2 + 2*z**5 + 2*z wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 11:33 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13242 and 2244?\nAnswer: 4952508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:14 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19346661 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -1.8.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.65 + 2.65. Suppose -4*g + y + 33 = -0*g, 2*g - 2*y = 12. Let o be 1\/((-3)\/g*-3). Which is the closest to 1\/4? (a) x (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 1. Let g(p) = 9*p + 14. Let j be 9\/3*(-1)\/(-3). Let k(z) = j*g(z) - 6*s(z). Calculate k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -145952*s + 10. Let m be p(16). Let o = 23271999\/10 + m. Let f = o + 8029. What is the common denominator of f and -31\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + 8710\/20. Suppose -3*t + o = 2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) - (-13)\/3. Let n be (-14)\/(-18) + 2\/9. What are the prime factors of 49\/y - n\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + (-85)\/(-20) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*y - 2 - 4, -12 = -4*u. Suppose 12 = -y*s + 28. Let k = 14 - s. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-354*f + 5844 - 5844)*(1 - 3 + 4)*(-5*f + 4*f - f).\nAnswer: 1416*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9776569981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 31*v**6\/10 + v**5\/30 - v**3\/6 + 3*v**2. Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 40. Suppose -140 = -i*a - 10. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 - 3*d - 7. Let u be g(-5). Let o = 8 + u. Let f = 35\/4 + o. Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 213.1616 decades?\nAnswer: 25579.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2661 + 2712. What is the smallest common multiple of o and 391?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*r**3 + 101*r**3 - 2*r - 300*r**3 - 17 + 99*r**3 to the form n + d*r**2 + j*r**3 + v*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let d be 2 + -1 - (l + -2). Let g = -4252 - -4248. Put d, -5, g in descending order.\nAnswer: d, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4591097 - -9.9.\nAnswer: 12.3591097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6867 = -151*c - 72. What is the greatest common divisor of c and 1845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4787*o - 8 + 4783*o.\nAnswer: -4*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 divided by 25?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2253645 and -17\/4056561?\nAnswer: 20282805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**5 + 2*c**4 + 2*c**2 + 7*c + 2. Let v(y) = -y**5 + y**4 + y**2 + 1. Let u(h) = -j(h) + 2*v(h). What is the second derivative of u(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5 + a**4\/12 + a**3\/3 + a**2\/2 - 54*a. Let y = -2 + 1. Let m be f(y). Calculate the highest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*b - 26 = 0, -4*v + b = -0*b - 3. Suppose m - 51 = -v*j + 2*m, 57 = 2*j + m. Are 29 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(1\/2))\/q*q)**(-3)\/(q\/((q\/q**(1\/2))\/q*q))**(-8\/7)*(q\/q**0)\/(q**(2\/5)\/q)*(q*q**(1\/2))**(-1\/3) assuming q is positive.\nAnswer: q**(-99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -48*g + 18. Let s be m(-6). Let k = s - -39. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 7. What is the remainder when 132 is divided by c(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 4*s. Let d be 4\/(s - 2)*2. Is 17 a factor of (-2)\/((d\/(-25))\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -489*s - 34. Give c(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/3)*p*p*p\/p**(-1\/5))\/(p**(-1))**39*p*p*p\/(p*p**(-1\/2)*p)*p*(p\/(p**(-4)\/p))\/p*(p**(-2\/5))**49 assuming p is positive.\nAnswer: p**(973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-10) - (-27884)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 843*h**2 + 1076*h**2 + 330*h**2 + (1 - 1 - 2*h)*(5*h + h - 4*h).\nAnswer: 2245*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009663 rounded to five dps?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5658966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*k = 2483 + 2005 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432*y**6 - 111*y + 10775*y**2 - 28*y - 10776*y**2 wrt y.\nAnswer: 51840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43 and -59067511.\nAnswer: -59067554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86208\/14368)\/(15\/(-8))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13584 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21005 - -249.21005. What is the smallest value in 1, 5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*w - 2*w + 6*w = 8, -5*u - 7067*w = -7068*w + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Solve 0 = -t*c - 2 + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28*(-1)\/((-8)\/68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27281151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -5*f, -4*f + 41 - 29 = 0. Sort -1, x, -12, 4 in ascending order.\nAnswer: -12, -1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 111*d - 151 + 1503 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*i**3*k*p**3 + 5*i**3*p**2 - 2*i**2*k - 23*i*p**2 - 2*k*p**3 wrt p?\nAnswer: 1242*i**3*k - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x*x*x**(6\/11)*x*x*x*x*x)\/((x*x**(-2\/3))\/(x\/(x**(-5)*x))))**(1\/9) assuming x is positive.\nAnswer: x**(172\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 130*i + 9*i + 8652 = 28*i for i.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from ndndnxnndxnnxy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 11*x + 8. Let n be l(6). What is the second derivative of 0*y**2 + 12*y**2 + 2*y**2 + 13*y + n*y wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001013 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41996 = -4*n - 41980. Suppose d = 4*d - 15. Put d, -3, -1, n in decreasing order.\nAnswer: d, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1236.9 - -1236.8. Does j = 0.5829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7590\/(-88) - (-5)\/4. Does 16 divide (-17)\/(m\/(-10))*-64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g**3 + 3*g**2 - g + 4. Let x be j(2). Let o = x - -190. Is 31 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3))**(-5) assuming j is positive.\nAnswer: j**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -53*x + 12. Suppose -3*l + 0 = -9. Solve -z = x*z - l*o + 1, -4*o = -z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 + -2)) + (-15 - -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 4. Let m = -4 + 6. Let i be x(m). Suppose 5*k - 5 = i*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(13) - (6*(sqrt(13) + -2) + sqrt(13)) - (-2 + sqrt(832))).\nAnswer: -350 + 350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.9 - 21. Let i = -21.9 + 23. Let g = z + i. What is the closest to 2\/7 in 5, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, -10 in increasing order.\nAnswer: -10, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34240, 36905, 39570, 42235?\nAnswer: 44900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 67438981.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 4*t - 6*t + (2*t + 5 - 5)*(3 + 1 - 5))*(8*t + 147 - 147)*(82 - 82 + 25*t) as b + n*t + v*t**3 + w*t**2 and give v.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, j: 11, y: 1}. What is prob of picking 4 k?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 1, p: 1, f: 1, j: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 460 - 185. Suppose -b - 261 = -5*q + b, 5*q = -5*b + w. Let x = 71 - q. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3760 and 14512160.\nAnswer: 682071520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - g + 6*g = 15, -12 = j - 4*g. Let f = -839 + 571. Let z = f + 7767\/29. Which is greater: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053611 is divided by 817.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 47. Suppose -5*v - 4*s - q = 0, s + 4 = 2*v - 0*s. Find the third derivative of -3*n**2 - 13*n**6 + 6*n**6 + 5*n**6 + v*n**6 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 109160*x - 744744100 = 0. Calculate x.\nAnswer: -13645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**3 + 6*j**2 + 2*j. Let g(i) = 14*i**3 + 11*i**2 + 4*i. Determine 4*g(t) - 7*x(t).\nAnswer: 7*t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -72. Let q = -124\/5 - v. What is the nearest to -2\/3 in -0.4, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 19*q + 7. Let b be p(19). Let n be (-2)\/(-8) - 6\/(-8). Suppose f = 2*f - n. What is the highest common factor of f and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082\/5 - 368\/(-230) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**4 + 0*i**4 + i**4 + (-5*i**3 + i**3 + i**3)*(0*i - 3*i + 4*i) - 3326*i**4 + 41*i**4 - 1388*i**4 as o*i**3 + z + t*i**4 + d*i**2 + s*i and give t.\nAnswer: -4672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -1\/2*d**2 + 15 - 5*d - 4\/3*d**3. Let y(c) = -3*c - 9 + 3 + 2*c - 5*c**2. Determine -4*f(w) + 3*y(w).\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 260812, 260818, 260826, 260836, 260848, 260862, 260878?\n\"Answer: s**2 + 3*s + 260808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/10))**(-27)*(w*w*w\/w**13*w)\/w**15 assuming w is positive.\nAnswer: w**(-267\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i + 6. Put -11, i, 1 in descending order.\nAnswer: 1, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14\/2 - ((-5078 - -5) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - 3*o**2 + 7*o - 4. Let t be y(5). Let q = -22 - t. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2704 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1767, 7067, 15899, 28263, 44159?\nAnswer: 63587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 6*w**2 + 7*w + 4. Let c(h) = -3*h**3 - 7*h**2 - 6*h - 4. Let m(l) = 5*c(l) + 4*n(l). Let r be m(9). What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27692238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**2 - 51 + 1\/3*t**3 + 0*t. Let u(c) = -4*c**2. What is -16*s(p) - 5*u(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:53 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*z - 14 = 0, 0*z - 2*z - 6 = 94*w - 93*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9859154 and 3962?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 585190848.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 47 = -4*b - 67, -3*k - 3*b = 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1522*u - 414 = -2*c + 1521*u, -4*c + 820 = 4*u. What is the remainder when 681 is divided by c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.39 + 0.09. Let q = -3 + 3.8. Let v = q + u. Which is the smallest value? (a) v (b) -2\/9 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.305 - 124.341. Let h = 0.036 + x. Let q = -55 - h. Sort -4, -3, 2\/5, q.\nAnswer: -4, -3, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612 times 5?\nAnswer: 38060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -89018, -178034, -267050, -356066, -445082, -534098?\n\"Answer: -89016*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = c - 11, 21 = s + 2*s - 3*c. Let d = 114 + -110. Find the first derivative of 4*g**s + d*g**2 + 9 - 4*g**2 - 8 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u**3 + 5*u**2 - 1 + 575*u - 1143*u + 567*u - 2*u**2. Determine o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + 232. Suppose -3*g - p = -9*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -7)\/(2\/19). Let b = r - 23. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/((-11625)\/1550)*(-20)\/14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:53 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -27*u**3 - 137*u**2 + 5*u. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 54*m = -4*s, -5*m - 5 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 14*w**2 + 16*w - 4. Is t(-4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1734*j - 1694*j - 520. What is the highest common factor of 4381 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -9. Suppose 5*c - 2*d - 14 = 0, -5*c - 3*d = -13 - 16. What is the closest to y in c, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-24))\/(2 - (-15)\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 25. Find the third derivative of -4*y**2 + b*y**2 - 19*y**6 - 5*y**2 + 3*y**2 wrt y.\nAnswer: -2280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -35 - -25 - 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j - 111*j + 152*j - 2790 = 0 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.24271 and -72048.\nAnswer: -72047.75729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -715*x**3 + 151 wrt x.\nAnswer: -2145*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12)*(-3)\/((-12)\/944). Let x = r - 54. Calculate the remainder when (98\/(-6))\/(2\/(-6)) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2192 (base 11) in base 13?\nAnswer: 140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2416, 4830, 7242, 9652?\nAnswer: 12060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402 - 358. Suppose 4*p = -g + 60. Let z(d) = d**2 + 2*d + 1. Calculate z(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899918254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94945239689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3114 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + 147*q**3\/2 + 73*q**2 - 147*q\/2 - 293\/4.\nAnswer: (q - 1)*(q + 1)**2*(q + 293)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983230 divided by -5?\nAnswer: -596646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:02 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6 and 35\/10719?\nAnswer: 21438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -112, -1, 5 in decreasing order.\nAnswer: 5, 4, 3, -1, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.039? (a) -2\/9 (b) 5 (c) -0.1137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3755.45t?\nAnswer: 3755450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78 and -0.4.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:07 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -775923*d**4 + 27*d**2 - 2745*d?\nAnswer: -18622152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535393196 + -0.28146.\nAnswer: 535393195.71854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 6. Give p(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70592 and 34193?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -0.52 (c) 694 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*t + 943 = -7*t, 3*t = -f + 185. Suppose 0 = -2*b - 2*b + f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486298843 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*a*p + 3295*a - 815417*p wrt a?\nAnswer: -137*p + 3295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 5*w**4\/12 - 4*w**3\/3 + 3*w**2\/2 + 4*w. Let k be v(7). List the prime factors of ((-6)\/8)\/((-8)\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -3 (b) 1\/3 (c) 19425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from bbbsscb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -15*h**5 + 372*h**4 + 423*h**3\/5 - 1212*h**2\/5 + 60*h = 0.\nAnswer: -1, 0, 2\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5220768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 6*w + 5. Let g be (4\/(-10)*2)\/((-35)\/350). Determine b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 1122751 - 1122751.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:34 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 1)**2 + sqrt(832) + 5)*4*4.\nAnswer: 384*sqrt(13) + 13408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 8. Let x be v(4). Suppose -2*s - 3*r = -4*r - 1, 2*s + r - 3 = x. What is the least common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -3.06. Let r = o - -3.3. Let g = 0.5 + -1. What is the third biggest value in 4\/5, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j - 6. Let q be 26\/5 - j\/(-10). Let v be -5 + 238\/102*(1 + 2). Solve 3*d + q = -v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019850494 rounded to five decimal places?\nAnswer: 0.01985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s**2)*(-1 + 2 + 0)*(-21*s - 46*s**2 + 21*s).\nAnswer: 46*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/5469 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 137093.6cm?\nAnswer: 1.370936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 3*f. Let p(x) = 4*x + 18 + 24 - 42. Let i(t) = -3*b(t) - 2*p(t). Give i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Suppose 2*d = 4*z - 70, -2*d + d - 33 = -3*z. Let n = d + 41. Let i(x) = 3 + 1 + 117*x + n - 118*x. Determine r(i(m)).\nAnswer: -m**2 + 12*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/7? (a) -1 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 12*s**2 + 22*s - 114. Let o be i(13). Solve -o*p = 0, 4*f + 3*p - 20 = 8*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.27? (a) -1 (b) -1\/7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42992 (base 10) to base 15.\nAnswer: -cb12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 662568856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13368, -13369, -13370, -13371, -13372, -13373?\nAnswer: -13374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -344, -517, -692, -869, -1048?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -19*d. Let s be (-1 - -1 - d) + 2. Suppose 7*i - 215 = s*i. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -1\/11 (c) 1 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 4*f - 2. Let z be i(-5). Let w(g) = -g**3 + 5*g**2 - 3*g + 5. What is the units digit of w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3720)\/96 - -39 - ((-973)\/(-196) - 5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -41616\/23 (c) 1\/6 (d) 7\/5 (e) -0.2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from yhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + 1 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0 + 0*l + 1 + l. Let z(j) = -j - 11. Let w be z(-11). Determine h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3\/5, 0, -900?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**3\/2 - z**2\/2 + 3*z. Let q be x(-1). What are the prime factors of (34 + 1)*q\/5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 163*h - 42. Let n be k(-41). Let q be -1*-2*1\/2. Let c be (-15)\/6*q + 2. Is c < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/((h\/(h**(-10\/11)\/h))\/h)*(((((h\/(h\/h**(-23)))\/h)\/h)\/h)\/h)**25 assuming h is positive.\nAnswer: h**(-7424\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*g - 210*g + 301*g**3 + 116*g + 156*g**3 wrt g.\nAnswer: 2742*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - -11110100101101?\nAnswer: 11110101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n = 49*n + 9534. Let g = n - -1193. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f\/((f**1\/f)\/f))\/f*f)\/f))**(2\/175)*f**1\/(f**(2\/3)*f))**(-31) assuming f is positive.\nAnswer: f**(11036\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 2*i**5 + i**5 + (-2*i**3 + 2*i**3 + 2*i**5)*(0 - 2 + 0) - 37*i + 20*i**5 + 37*i - 2*i**5 + 0*i**4 + 0*i**4.\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, 0*q + 3*q = 2*n + 3. Let t(x) = -q - 3*x + 7*x - 2*x + 0*x. Give t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 3. Let t be -1 - 1\/((-3)\/24). Let l(a) = t - 3*a + 6*a - a + 7*a. Determine -7*f(j) - 3*l(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 minutes before 10:14 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n**5\/5 + 34806*n**4\/5 + 287928*n**3\/5 + 79424*n**2\/5 = 0. Calculate n.\nAnswer: -4964, -8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 21.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 188.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33396)\/2024 + 7\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - w - 7 = -4*i, 2*i + 4*w = -10. Find the third derivative of 235*j**2 - 197*j**2 + 74*j**3 + 220*j**i wrt j.\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 3*v + 0*v - 5*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**25)**41 assuming m is positive.\nAnswer: m**5125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-2 - 9 - (44 - 70)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42298995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, -0.1, -0.07, -2\/3, 271?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 7. Let j(z) = -2*z - 8. Let l(x) = -4*j(x) + 5*p(x). Let v be l(2). Factor 2\/7*w**v + 0*w + 0 + 4\/7*w**4 + 0*w**2 + 2\/7*w**5.\nAnswer: 2*w**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17, 2, 1373, -269 in increasing order.\nAnswer: -269, -2, 2, 17, 1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -2397944132047?\nAnswer: 2397944132050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -1 + 0*q**4 + 0*q**2 + 0*q - 1\/7*q**7 + 5\/3*q**3 + 0*q**6 + 0*q**5. What is the third derivative of s(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/6 + 5*y**3\/6 - 113*y**2\/2 - 2561*y\/6 + 3211\/3.\nAnswer: (y - 19)*(y - 2)*(y + 13)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5632646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434108 by -620.\nAnswer: 108527\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2482, 9929, 22342, 39721?\n\"Answer: 2483*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkeeekeeeeeaeeee. Give prob of picking 2 k.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uetbtubecbcbobbb. What is prob of picking 1 e, 1 o, and 2 u?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 6. Let i be f(3). Let k be (i\/(-8))\/(15\/20). What is the tens digit of 1 + 3\/k - -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 w, and 1 n when four letters picked without replacement from {j: 1, z: 1, n: 4, m: 3, b: 3, w: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 divided by -4.\nAnswer: -349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 168 = -16*r. Let j(o) = o**3 + o**2 + 1. Let y(m) = -4*m**3 - 8*m**2 + m - 6. Determine r*j(t) - y(t).\nAnswer: -2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, n: 4, j: 4}. Give prob of sequence nhjn.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 241653898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.69342 months in decades?\nAnswer: 2.0307785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1024 and 3649792.\nAnswer: 14599168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.90746 millilitres to litres.\nAnswer: 0.06490746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 15*v - 11*v + 4*o, -5*o + 28 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 766.2 to the nearest ten.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466\/12 + (-2)\/48*4 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.0241, -3\/5, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -12356, 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -41. Let h(o) = o**3 - 18*o**2 - 19*o + 4. What is h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i*u**3 - 362333*i*u**2 + 4*i*u + 516069*i - 7*u**2 - u + 5 wrt u.\nAnswer: -66*i*u - 724666*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, -8456, -23384, -44294, -71192, -104084, -142976?\nAnswer: -187874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 5, e: 1, j: 3, y: 4}. What is prob of sequence yy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 - 7 = -3*z, -3*z + 4*f = -26. What is the remainder when 7 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 12*p + 136, 8 = -492*q + 494*q + 4*p. What is the remainder when 1083 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1984.\nAnswer: -7936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1348*f + 1343*f + 7*f**2 + 39*f**3 - 2689*f as j*f**2 + m*f + u*f**3 + t and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruccururuuuucr. What is prob of sequence uuru?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 103376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 1394.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46546295, 93092595, 139638895, 186185195, 232731495?\n\"Answer: 46546300*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -229.3 at least -41809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -3 in increasing order.\nAnswer: -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3004*k**3*r**2 - 718*k**2*r**2 - r wrt k?\nAnswer: -18024*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 883, 1764, 2645, 3526, 4407, 5288?\nAnswer: 6169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -12*g + 3 - 33\/4*g**2 + 27\/4*g**3 = 0.\nAnswer: -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 5331232?\nAnswer: 5331239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -349, -616, -883, -1150?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -5*b**4\/18 - 92*b**3\/9 - 79*b**2\/9 + 12*b + 1076. Solve l(t) = 0 for t.\nAnswer: -27, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + -2*sqrt(5)*2*-1*-4*-5)*1)**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 120222?\nAnswer: 120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129\/20 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 2887*k**3 + 1893622*k**2 - 330886100*k.\nAnswer: k*(k - 5050)*(k - 362)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r + 1. Let b be d(-4). Let f(a) = a**2 + 4*a + 7. Let n be f(b). Solve -5 - n = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + 4 + 4 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.241565186 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 + 16*l + 10. Let t be a(-7). Let p be (t\/(-2))\/(1 - 3). Is 19 a factor of (-60)\/p + 0 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 times -4236?\nAnswer: -842964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 6. Let s = 54 + z. Let j = 21 + s. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 1794, 2675, 3558, 4449?\nAnswer: 5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 2. Suppose -5*x = r*l + 8, 2*l = -0*x - x. Let v be 12\/5 - (-6)\/(-15). Solve -z = -2*z + l, -3*z = v*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, l: 1}. Give prob of picking 2 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/(x\/x**(-4)))\/(x**0*x**(3\/5)))\/(((x*x**(-2\/3))\/x*x)**(-4\/3)*x**1\/((x*x**3)\/x)) assuming x is positive.\nAnswer: x**(-97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 57*a + 32 = -4*v, -2*v - 24 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4094 is divided by 598.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:13 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1753, 14419, 48803, 115765, 226165?\nAnswer: 390863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 74*m**2 + 56*m - 1952. What is the hundreds digit of z(-79)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.2 (c) 0 (d) 1.397 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 = -3*k + 9, -a + 31 = -4*k. Let x = a + -16. List the prime factors of ((-8544)\/x)\/(-4) - (-6)\/(-15).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*j - 21. Let l(s) = 2*s + 4. Let w be l(j). Let c(d) = 3*d - 26. Let k be c(w). Solve -2*v = -o - 8, 4*o - k*v = -0*v - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 12*g - 23. Let u be f(-9). Let y(q) be the first derivative of 3\/2*q**2 - u*q - 3. What is the derivative of y(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3657 + 3647. What is the nearest to f in 2\/19, 0.3, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3756)\/(-37560)*9*(-2)\/(-3)*2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 14 = 0. What is the greatest common factor of 126 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44529647 a multiple of 2060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1145*c**3*p**2 + 47*c**3*p - 42946*c**3 + 4088*c*p**2 + 2*p wrt p.\nAnswer: -2290*c**3 + 8176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707547160 to the power of 1\/3, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20304 = 12538*r - 13290*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*v - 64, -3*k = 5*v + 38 + 46. Let f = 52 + v. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336110443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69430 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 1 + 1 + (2*q + q - 4*q)*(-q**3 + 4*q**3 + 0*q**3) + (-1 - q**3 + 1)*(-q - 2*q + 2*q) + 6*q**4 - q**4 - 2*q**4.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -6 - -16 - ((-2 - 0) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38839\/14 - 2774. What is the second smallest value in -1\/2, x, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336482 divided by -4054.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40081 is divided by 20035.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100*p + 3286*p - 1091*p - 1095*p - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3240 + 13?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 59.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509514995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n**5\/5 - 6*n**3 + 5*n**2\/2 - 4*n - 6. Find the second derivative of t(w) wrt w.\nAnswer: -24*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -1*46\/4 - (1 - 7\/2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-17\/4))**(-39)*((n\/((n**(-1)*n)\/n*n))**21)**(3\/10) assuming n is positive.\nAnswer: n**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 590905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11270*v + 13721.\nAnswer: -11270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 - 2*m + 2. Let d(u) = u - 15. Let k be d(11). Let q(h) = -5*h**2 - h + 2. Give k*q(s) + 3*z(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - 159. Sort -1, t, 7 in descending order.\nAnswer: 7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2. Let u(k) = 11. Let y(b) = u(b) + 5*x(b). Let t(l) = 5 - 1 - 6 + 0 - 3 + 2*l. Give -t(c) - 2*y(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) -2\/3 (c) -0.3 (d) -0.26 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 24. Let k be 8\/4*9\/n. Find the third derivative of -159 + 5*c**2 + 5*c**k + 159 wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7168.7434 + -7171. Round d to two dps.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*2941\/(-3287) + (550\/36 - -2)\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.08, 2, -5, 5\/2, 379.\nAnswer: -5, -1, -0.08, 2, 5\/2, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tan when three letters picked without replacement from {n: 1, g: 6, t: 1, j: 1, a: 4}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 3124229.\nAnswer: -3124195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/516)\/((-11)\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3247 + -3242. Let t = 15 - 11. Let g = -2 + 1. Sort t, g, s in increasing order.\nAnswer: g, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 0.2 (c) 45273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 98*d**2 - 35*d - 70. Let w(r) = -r**2 - r - 2. Calculate 3*c(x) - 105*w(x).\nAnswer: 399*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 6467080*v = 0.\nAnswer: 0, 1616770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.052 in 0.02, -2\/5, 1921?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 108 = -4*y, 3*y + 13 = 4 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/41)\/(d\/(d**22*d)) assuming d is positive.\nAnswer: d**(904\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 15*l + 63. Let h be t(-11). Is (h\/(-6))\/(-19) + (-16313)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 + 2*x - 1. Let d be h(-3). Let v(b) be the second derivative of 11*b**4\/6 + b**3\/2 - b**2\/2 + b. Is v(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from aloapacaplalaalaapal?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2)\/m)**48\/(m*m\/m**(-1))**(-1\/41))**(-8) assuming m is positive.\nAnswer: m**(7848\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 130 + 6*j**3 + 6*j**3.\nAnswer: 12*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -7 + -32 - 0 - -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*p - 2*p. Suppose 8*w + p = -101. Suppose -2*q - 4 = 0, 0 = 2*b + 3*b - 4*q + 67. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 3*c + 1. Let z(s) = 3. Let g(l) = -8. Let x(y) = g(y) + 3*z(y). Let m = -10 + 5. Let u = m - -4. Give u*h(n) + x(n).\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from tvvvvvhvtvvhhvvvv?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 5 + 2*sqrt(1100)*-3 + -5*-1*sqrt(1100) + -3*(sqrt(1100) - sqrt(1100)*1))*2)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328978916.\nAnswer: 2, 3, 23, 1605047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q - 3036 + 2246 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -16. Let m(o) = -o + 7. Let g be m(z). List the prime factors of 13\/g - (-2 - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43143, 72692, 102239, 131784?\nAnswer: 161327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41250*h**2 + h + 41945 with respect to h.\nAnswer: -82500*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**27)\/n**(-25)*(((n\/n**(-2\/17))\/n*n)\/n)\/(n\/(n\/n**0)*n) assuming n is positive.\nAnswer: n**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3049182 (base 10) in base 16?\nAnswer: -2e86de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 10 + 33 - 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 5*n - 547. Calculate the smallest common multiple of 216 and n.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -16*w - 15*w + 26*w - 23. Let x(v) = -3*v - 12. Let i(j) = 4*l(j) - 9*x(j). Is 12 a factor of i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 115)\/(-11) - (-7 - (-125)\/8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-19)\/(266\/32). Let v = -5 + 10. Suppose -u = -1 - v. Solve -o*j + 1 = -3*x - 0, 2*j + 4*x = -u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 1. Let d be t(-1). Let i be (-2 - 0 - 1)*d. Suppose -5*a + i*a = -32. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:15 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 4, o: 1, s: 1, p: 1}. What is prob of sequence do?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a + 1. Let b be 2\/8 - 1\/(40\/130). Give m(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*v**5 + 9*v**4 + 316*v**2 + 2 wrt v?\nAnswer: 780*v**2 + 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) -6 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 7. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*-2*75\/50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Let x(y) = y**3 + 2*y**2 + 4*y + 5. Let d be x(-4). Let m = 127\/3 + d. Which is the third smallest value? (a) -2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + (5 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117)*1 + 3 + sqrt(117) + -3)**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1261*q - 3568*q + 420*q.\nAnswer: -4409*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -25*r**3 + 39*r**2 - 5*r - 20. Determine n(6).\nAnswer: -4046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*t + 903 = -t, -4*y - t = -717. Let m be ((-2)\/(-3))\/(48\/y). Let f = 6.8 - 7. What is the second biggest value in -0.1, m, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*g**2 + 0*g + 4\/7 + 1\/7*g**3.\nAnswer: (g - 2)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 11. Suppose -i + 438 = 5*g + 71, 764 = 2*i + 4*g. Let a = i + -382. Determine k(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:16 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 13. Let i be w(-5). Is 37 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 641395, 641407, 641421, 641437, 641455, 641475, 641497?\n\"Answer: v**2 + 9*v + 641385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 111\/12*(-73 + 1). What are the prime factors of (r\/24)\/((-2)\/(32\/3))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 681.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808601 to the power of 1\/2, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130312660 and 580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, 135, 679, 1245, 1827, 2419, 3015, 3609?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 0.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 603*q - 4574 - 973 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176501051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 899 (b) -2.75 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1801*k**2 + 3*k + 2. Let o = 1 + -3. Let b be r(o). Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*o, -o + 2*i - 4 = -7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let w(d) = -3*d. Suppose -4*r - 2*a = -24, 2*a = 3*r + 2*r - 39. Let g be 13\/(-4) + 7\/28. Let p be -1*(g + 0\/(-2)). Give p*w(k) + r*l(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2433320342 + 11?\nAnswer: 2433320403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v + 267*v**2 + 3 - 2 - 4*v**2. Let j be z(8). Suppose 5*q = 6*d - 2*d - 22657, -3*d - 4*q + j = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -24522*p**2 + 10*p + 17. Let y be v(-5). Let m = y + 1339083. What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*n + 127 - 67 = -398 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*i - 6 = 606*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 96 = -3*x - 2*x, -70*x = -73*x - 60 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53. What are the prime factors of 0 - (-4)\/(5 - (3 + z))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/56 and -29\/32728.\nAnswer: 229096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 4152180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(-1\/4)*q))\/q))**(-16)\/(q**10)**(-13) assuming q is positive.\nAnswer: q**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 - 5) + (-1 - -2). Let w(u) = -4*u**2 + u - q - u**2 + 9*u**2 - 5*u**2. Let t = 0 - 0. Determine w(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9843 and 63690?\nAnswer: 1082730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3502, 3564, 3638, 3730, 3846, 3992, 4174?\n\"Answer: a**3 + 55*a + 3446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 39126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96371 + -170?\nAnswer: 96201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87076415329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2671302466 and 5?\nAnswer: 4.7328697534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -975013 divided by -3?\nAnswer: 975013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-2.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4504 or 31533\/7?\nAnswer: 31533\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, 1\/35, 5, -25\/54?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11907363 is divided by 1919?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65 from -112536331.\nAnswer: -112536396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 133*j - 3187. Give b(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(((-1665)\/444)\/((-5)\/(-16))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q**24\/q))\/q)**23 assuming q is positive.\nAnswer: q**(-598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*z - 37, 247*z = 4*z + 3*x + 1695 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/5)\/(6\/(-10)). Solve 1 = 2*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3131087 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12*t - 7*t + 780 = 0, 3*c - 3*t = 585. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3395926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620138520 - -0.586.\nAnswer: -620138519.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let m(n) = -412*n**2 - 27*n**2 - 1 - 265*n**2 + 5 - 6. What is m(v(l))?\nAnswer: -2816*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 9*n + 9. Let m(t) = -t**2 - t + 1. Suppose 5*f + 5*q - 100 = 7*q, 69 = 3*f - 3*q. Give f*m(i) - 2*z(i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91670 and 8755.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**9\/252 + h**5\/20 + h**2 - 1. Let m(c) be the second derivative of o(c). Find the third derivative of m(r) wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7543?\nAnswer: 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -2, 28 in ascending order.\nAnswer: -18, -2, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1010202200112?\nAnswer: 1010202200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.06. Which is the closest to h? (a) -1\/5 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/20 - 14*c**3\/5 - 77*c**2\/10 + 24*c + 2312. Suppose g(l) = 0. What is l?\nAnswer: -40, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u + 23554 + 26001 = 0. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, b: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(26\/3)))\/((m*m**(5\/2)*m*m*m)\/m)*(((m**(12\/7)*m*m)\/m)\/m)**4 assuming m is positive.\nAnswer: m**(-307\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4028630 and 62846628?\nAnswer: 314233140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 2*h**2 + 3*h - 4. Let t(k) = 2*k + 8. Let o be t(-6). Let g be x(o). Suppose 2*f + g = 56. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 1\/34, -11, 63, -3, -0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/2241812 and 35\/76.\nAnswer: 42594428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 154*a + 4135. Give q(-35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11*-98.65\nAnswer: 1085.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -637 and -789590\/1239 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1242, -3, 22.\nAnswer: -1242, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.156 rounded to the nearest integer?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + (5 - (5 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.43049 hours?\nAnswer: 5149764000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r - 11. Let s(x) = 120*x + 87. Let g(b) = -33*j(b) - 4*s(b). Let m(z) be the first derivative of 4*z**2 + 8*z - 1317. Give -6*g(y) + 11*m(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j + 6*j - 12*j - j**2 + 6. Let d be z(3). Suppose 23*w - 22*w - 2 = d. What is the third biggest value in w, 0.5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -15*s + 49. Factor -1\/3*m**s + 1\/3*m + 1\/3*m**2 - 1\/3.\nAnswer: -(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 1, 0.2, 73400 in descending order.\nAnswer: 73400, 1, 0.2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206041 by -42.\nAnswer: -206041\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -658*c + 326*c + 181 + 212 + 8*c**2 + 333*c + 145 in the form k + h*c**2 + f*c and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44605702 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/((s**2*s)\/s*s))\/(s**(-3\/2)*s*((s**(-7)*s)\/s)\/s)*(s\/(s*s**(-1)\/s))**(6\/11)\/(s**(-4)\/s**(-3\/7)) assuming s is positive.\nAnswer: s**(1719\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 122250164 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390703367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47907338 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -2\/3 (c) -2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 22*o + 380 = 0. Suppose h = -0*h + o. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from kdddddgddddddd?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 4*w + 4, -5*w = g - 19. Suppose 7*m - a = 4*m + 5, -4*m + w = -5*a. What is the greatest common divisor of m and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 28. Let y = 71 + f. Suppose -3*d - 5*b = -40, 5*d - 4*b - y = 2. Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) 27\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-16) + (-2)\/(-4). Suppose 0 = 5*r - l + 36. Let a(g) = -6*g - 11. What are the prime factors of a(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/(663\/130).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltaglattattat. What is prob of sequence ga?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23075 or 0.1244?\nAnswer: 23075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*f - 5*f - 6 + f).\nAnswer: 4*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -20. Let t be n\/13 + (-164)\/(-52). Suppose 9 + 14 = x - 3*c, -t*x = -5*c - 73. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15931860 divided by -2655310.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b. Let h(d) = -7*d - 5. Let w(f) be the third derivative of 0 + 0*f - 2\/3*f**3 - 4*f**2 - 1\/4*f**4. Let g(q) = -4*h(q) + 5*w(q). Give o(g(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h. Let u be c(4). Let g be 20 - (6 + u)\/(-3). Let r = -13 + g. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14 - (52 + -17)) + (-99)\/3)*(-2)\/(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901688 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to 1272482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 122, 93, -52.\nAnswer: -52, 5, 93, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 + 0*q**2 + 1\/30*q**6 + 6*q + 1\/4*q**4 + 1\/6*q**3 + 3\/20*q**5. Factor k(c).\nAnswer: c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/29546 and -97\/15532?\nAnswer: 20859476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 72 = b + 63, -2*b - 12*w - 38 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3135, -3128, -3103, -3054, -2975?\n\"Answer: r**3 + 3*r**2 - 9*r - 3130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.14, 7, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)**(-5\/7))**(2\/81)\/(c*c**(-9)*c*c**(-6\/5)*c)**(-2\/7) assuming c is positive.\nAnswer: c**(-5932\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -379, -578, -787, -1006, -1235?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buirnnibibnrib. Give prob of sequence uni.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -142 + 2*y + 0*y**2 - 2*y**2 + 0*y**2 + 26 + 35 as n + u*y + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1734 + 3098. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213.96 - 209. Let u = 1 - 0.96. Let k = i + u. Which is the biggest value? (a) -2\/3 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647100 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 294609521 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**27*(j*j**(-2)\/j*j)**(2\/85))**(-3\/7) assuming j is positive.\nAnswer: j**(-4584\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 + 0*a**2 - 2*a**2)*(15 + 11 - 22) - 2*a**2 - 2*a + 2*a to h*a**2 + u*a + g and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 544309204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5945852 is divided by 5945823.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 = -8. Let d = 0 - -2. Suppose d*v - v = 2. Calculate the remainder when g is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*o + o**2 + 0*o**2 + 13*o**4 - 15*o**4 + 151*o + o**3 to the form d*o**4 + i*o + r*o**2 + x + k*o**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191095944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 594165780 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1218\/4*(-7436)\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 644.9208us?\nAnswer: 644920.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98\/(-22) + (-47)\/(5170\/60). Let j be ((-2)\/(-6))\/(1\/12). Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 130 = -0*t. Let c be 3*1*t\/3. Let r(b) = 65*b**2 - b + 1. Let o be r(1). Calculate the greatest common factor of o and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + 883\/3516. Let g be (-386710)\/(-7325)*(-1)\/(-6). Let d = o + g. Find the common denominator of -2\/5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2)*-8 + 2. Calculate the remainder when 33\/5 - (-4)\/10 is divided by d\/(-8) + 1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:48 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4691 < 0.0711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/4450017 and -29\/3289.\nAnswer: 4450017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.2, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.33 (b) -2\/563 (c) 19 (d) -1424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18101, 36243, 54395, 72563, 90753, 108971, 127223, 145515?\nAnswer: 163853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 0. Which is smaller: h or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 6 - 6)*(-2*k**2 - 4*k + 4*k) - 2*k + 2*k + 3*k**4 + 0*k**4 + k**4 + 0*k**4 + (0*k**2 - 2*k**2 + 0*k**2)*(13*k**2 - 10*k**2 - 16*k**2).\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {l: 4, z: 2, s: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrymjrs. Give prob of sequence jryr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36100073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -6 + 0 - 15) + (-6 - -3) + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 68. Suppose 11*g = 4*g - 148 + 29. What is w(g)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1485 divided by 7.\nAnswer: -1485\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383015.\nAnswer: 5, 76603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0, -4, -21\/3383?\nAnswer: -21\/3383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.9809226 rounded to 3 decimal places?\nAnswer: 20.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 4*i + 32, -2*i + 38 = 4*f. Suppose -8 = -2*u - 20. Let k = f + u. Calculate the least common multiple of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let w(g) = -1 - 5 - 4*g + g**2 - 13*g - 2*g**2 + 24*g. Give w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.41 and -0.7.\nAnswer: 0.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3 + 2 - 5*d + 3. Let p(l) = 4*l - 2. Calculate -6*p(z) - 5*y(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 39*a**2 - 1 - 2 - 42*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 494*t + 494*t - 1209*t as j + s*t and give s.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 284*o + 282.\nAnswer: 2*(o + 1)*(o + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 250. Let g = 74 + f. Let d = 74 + g. Which is the biggest value? (a) 1 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -3*x + 7*i, 2460*i - 7 = -x + 2461*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 24 + 8 - 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 1\/10 (c) 8 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*n - n. Let c be 4\/4 - n*1. Calculate the greatest common divisor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -79*h**2. Let a(x) = 26402*x. Give p(a(r)).\nAnswer: -55068182716*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338521, -677040, -1015559?\nAnswer: -1354078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20022 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(46\/50) - -1. Let p = 0.0012 + -534.0012. Let u = p + 532. Which is the second smallest value? (a) -11 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -25) + -7 + -28 - -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357.99995 + -358. Round a to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699558*l**3 - 4039*l - 699561*l**3 + 4039*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -44*a - 878. What is o(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64916987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*-2*sqrt(1377) - -3*(sqrt(1377) - (2 + sqrt(1377)))))**2*4.\nAnswer: 129600*sqrt(17) + 19832400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from jbjjqabbjffaabfjbj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 30, 2285 in decreasing order.\nAnswer: 2285, 30, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 34 = -2*w, -3*o + 5*w = 23 + 75. Let g = o - -56. Which is bigger: g or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1929, 15669, 52955, 125559, 245253, 423809, 672999, 1004595?\n\"Answer: 1962*q**3 + q**2 + 3*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1647 - -1647.5268. Let o = 0.0268 - j. Which is the second biggest value? (a) 3\/64 (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -567, -597, -627?\n\"Answer: -30*a - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 23*g**2 - 3*g - 3. List the prime factors of u(-2).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, -0.5, -0.06 in decreasing order.\nAnswer: 0.2, -0.06, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*36.9683.\nAnswer: 73.9366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358113.\nAnswer: 3, 7, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, -105, -3 in descending order.\nAnswer: 5, 3, -1, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3261 + 88*y - 103*y + 16*y)*(-4*y**3 + 0*y**3 + 5*y**3) as r*y**3 + h*y**4 + g*y**2 + z*y + c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-1)\/2). Let w be (0 + s + 0)*-1. Solve 7*q + 16 = 2*q + 4*a, w*a = -q + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971925792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let n(y) be the third derivative of -y**5\/60 + 2*y**2 - 17*y. Let f(a) = 29*a**2 + a. Let b(w) = -f(w) - 6*n(w). Calculate b(s(i)).\nAnswer: -92*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1544037*g**2 - 44*g - 7. Let t be c(-1). What is t rounded to the nearest ten thousand?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 12:54 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 76 (b) -0.5 (c) 0 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1590*h. Let n(m) = -2*m + 60. Calculate n(f(g)).\nAnswer: -3180*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4883 bigger than -4887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*u = -66, 245765*v - 245764*v + 9*u = 198 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3948645 and 4020.\nAnswer: 15794580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/1000*((-2)\/11)\/(37\/407)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1730 + 2041 - 3030)*(-2*j - 1 + 1 + (-3*j + 3*j + 2*j)*(-3 - 4 + 6) - 3*j + 2*j + 0*j - j + 2*j - 2*j).\nAnswer: -4446*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*c = 78, 3*n + 0*n + 4*c - 38 = 0. Calculate the least common multiple of 6 and n\/81 - (-61)\/9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -18*l**5 + 69*l**4 - 45*l**3 - 66*l**2 + 36*l + 24 = 0.\nAnswer: -2\/3, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 1100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 plus 107?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - 1*(2 - 3). Suppose -5*g - s = 2*n, -n - n + g = -8. Solve 4*z - 3*a = 1 + n, 2*z - a = -1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -3*a**4\/4 + a**3 - 2*a - 1. Is 15 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**2 - 13*o**2 - 35*o**2 + 0*o + 0*o - o**2 + 2*o**2 - 5*o**2 + o**2 + (5*o - 3*o - 3*o)*(4*o - 2*o - o).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -1.34961569893854?\nAnswer: -0.84961569893854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -1 - 2) + 34 + -12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3243 + -4?\nAnswer: 3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59882 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: Let j be 2 - (1\/(-1) + 10). Let x be 3\/(-2 - -1) + j. What is the units digit of (-135)\/x*8\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 22 = 2*h, -h + 3 = 4*o - 3*o. Suppose -12*d + 1945 = -h*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 820173837 divided by -39055897\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -15 (b) 2\/13 (c) -1\/2 (d) -6.1 (e) -4 (f) 0.5 (g) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18731704.\nAnswer: 2, 2341463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3459909 - -3457850.471. Let d = r + 2060. What is d rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 965289 - 965285. Factor -6\/7*x**3 + 6\/7*x**h + 0*x - 12\/7*x**2 + 0.\nAnswer: 6*x**2*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 22. Let l be s(19). Is 2 a factor of 2\/3*-4*(l + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**3 - n**2 + 8 - 4 - 10*n**3. Calculate the lowest common multiple of 9 and m(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7 (b) -205 (c) 1\/10 (d) 5\/16 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732097.9 weeks to hours.\nAnswer: 122992447.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let f(c) = -11*c**2 + 7*c**2 - c**2. What is r(f(t))?\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3455025 (c) -3\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5993 or -5995?\nAnswer: -5995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(16740\/(-4455)) + (-720)\/(-22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + 10\/(-6). Sort 5, -5, v in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 432 and 821 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -82757*c**2. Let j(w) = -2153*w**2. Calculate j(r(k)).\nAnswer: -14745296418497*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*q - 24 = 0, 0 = -2*j - 4*q - 12 - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t**2 - 1 + 28*t**2 + 1 - 2*t + 5 - 19*t**2. Let j(b) = -5*b**2 - 2*b + 4. Calculate -5*j(a) + 4*m(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, 0, -4, 5, -5, 1\/2, -235 in decreasing order.\nAnswer: 5, 1\/2, 0, -0.28, -4, -5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 1\/9*s**3 - 1\/9*s - 1\/9 + 1\/9*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - f**2 - 14*f + 18. Let r be b(3). Sort 0, 11, r in decreasing order.\nAnswer: r, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69435, 554216, 1870043, 4432440, 8656931?\n\"Answer: 69254*q**3 - q**2 + 6*q + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -147, -5\/23?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964, 1913, 2852, 3775, 4676, 5549, 6388?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 1. Let w be o(1). Let n be w\/5 + (-20)\/(-50). Let a = 76 - 74. Solve n = 5*q + a*t - 10, -6 = -3*q - 0*t + 4*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**3 - k**2 + k + 1. Let r be g(-1). Let t be (-2)\/(-6) + 6\/r. Suppose 4*o - 3 = -7. What is the third biggest value in 1, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6069 and 2928639.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.222309 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x + 4*x + (-1 + 2 + 0)*(2*x + x - x) - 4*x + 3*x + 2*x + (x + x - 4*x)*(-3 + 7 - 3) - 5*x - x + 4*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by -36055?\nAnswer: -128\/36055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -321 + 321.0171. Round k to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i + 56. Let f be a(6). Sort -2, 35, f in descending order.\nAnswer: 35, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1498*y**3 - 1493*y**3 + 2*y + 4*y**4 + 0*y**4 - 2*y**2 to the form v*y**2 + g*y**4 + x*y**3 + m + b*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from cycsddddykdks?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4071, -4070, -4069, -4068, -4067, -4066?\n\"Answer: x - 4072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*m - 175*m + 207*m - 4450 = -440*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -0.3, -2, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 24223612.\nAnswer: 72670836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -112. Let z(i) = -2*i**2 + i + 1. Let d be z(2). Let s = d - c. Solve 0 = -5*v - s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28 = 5*y. Let l be 8 - 3 - 8\/y. Let a(h) = 3*h**3 - 12*h**3 + 5 - 4 + 4*h**l - h**2. Give a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 43. Calculate o(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009379 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-271185)\/(-152508) - (4 - 45\/20).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**2 + 71*y + 65. Give q(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 326 + -337 + 4*(-3 + 2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5781 + 6873.7. Round j to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 61*c - 51 = 0. Put 115, c, 5 in descending order.\nAnswer: 115, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((12 + 348)\/18)\/((-10)\/(-28)). Calculate the greatest common factor of q and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117100968*c - 384768811 wrt c.\nAnswer: 117100968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4157155?\nAnswer: 5, 831431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3524, 5599, 7702, 9845, 12040, 14299, 16634?\nAnswer: 19057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*t**2)*(1951703*t - 7479*t**2 - 1951703*t).\nAnswer: 14958*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.278714 rounded to one dp?\nAnswer: 44.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 24. Let d be o(26). Suppose -d*p = -4*y + 6*y, -5*p - 4 = y. Let u(s) = 6*s**3 + s + 1. Calculate u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -4.26, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 468 = -159. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 - 2*u**2 + 655 - 1321.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -517, -510, -503, -496?\n\"Answer: 7*t - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/57))\/v**(-2\/29)*(v\/v**(5\/6))\/(v*(v\/(v*v**(-1\/6)))\/v) assuming v is positive.\nAnswer: v**(1709\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -4) + -21 + 217. Suppose -k = -2*k + 391. Suppose d = 2*d - 3*p - y, 2*d + 5*p = k. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-34))\/(2 - 0). Let h be 35\/4 + 33\/(-44) - 9. Is h at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -213 + -14444?\nAnswer: -14657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7 - 3*q**2 + q**2 + 7. Let u(p) be the second derivative of p**3 - 4*p. Give i(u(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from tjjjtjtjxafw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65979, -63958, -60581, -55842, -49735, -42254?\n\"Answer: t**3 + 672*t**2 - 2*t - 66650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.7, 2, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38203690 divided by 14\nAnswer: -2728835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1617.4 - -1623. Which is the biggest value? (a) 3 (b) 1 (c) h (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 7053 - 6907*a + 6907*a.\nAnswer: -3*a**3 + 7053","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 276.\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 0.5, 5, 0.4, -0.5, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 9*j**2 - j + 47. Let y be q(-8). What is the greatest common factor of y and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1099\/4 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 0.015, 4\/5.\nAnswer: -111, 0.015, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 27. Let k = v + 10. Let p = 28 + k. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w + 0*w)*(-1 + 4 - 1) - 4*w + 5 - 7 + 6*w.\nAnswer: 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*q + 180 = -147*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8*z - 324. Let l = z + 49. Is 973 - (-3 + l\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3208 = -813*d + 1784 + 8829 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 3*t**3 - t**3 + (532*t**2 - 845*t**2 - 358*t**2)*(-3 + 3 + 3*t) as g + k*t**3 + w*t**2 + d*t and give k.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(414\/12)*(-5)\/(-10). Which is the smallest value? (a) z (b) 2 (c) 14 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*f + 145. Suppose 0 = -0*r + 4*r - f. Suppose t + 20 = 2*l, -3*t = -2*l + 4*l - r. Solve -6 = 5*a + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**(-25)\/((k\/(k\/((k*k*k**(1\/7))\/k)))\/(k\/(k*k**(-13)\/k))) assuming k is positive.\nAnswer: k**(620\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1597456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + -54. Let m = z - -58. Let q = 112 + m. What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39470653951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 107\/4 - 10\/(-40). Suppose -v = -4*v - t. What are the prime factors of 20*(-3)\/v*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -33*m**7\/70 - 13*m**3 - 4*m**2 + m. Differentiate v(j) with respect to j.\nAnswer: -396*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1443731\/5614 - -4\/8421. Let d = j + -258. Calculate the common denominator of 99\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31380653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23*o - 6*o - o - 13*o**2 - 25. Let r(p) be the first derivative of -p**3 + 2*p**2 - 6*p - 1. Let i(k) = -18*r(k) + 4*w(k). Factor i(n).\nAnswer: 2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -658 - -661. Let j(q) be the second derivative of 1\/3*q**2 - 1\/9*q**v - 6*q + 0 + 1\/72*q**4. Factor j(n).\nAnswer: (n - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (82\/164)\/(1\/(-6)) + 49418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -525 (base 16) to base 2\nAnswer: -10100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 12*j**2 - 25*j + 13. Let g be w(-9). Put g, -1, 0, 9 in decreasing order.\nAnswer: 9, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 69, 2, -1, -2 in decreasing order.\nAnswer: 69, 5, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124722 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9622933.6 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2909 is divided by 415.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -809*j + 6*j**3 + 2471*j - 930*j - 890*j - 500*j to the form z*j**2 + i + x*j + g*j**3 and give x.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + (-1 - -4) + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -7)*(-3)\/(-18)*-2. Suppose -4*z = r - 5*z - p, -z + 10 = r. Calculate the lowest common multiple of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x = -j - 47*x - 2, 5*x = 3*j + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -22 + 9 + 15*r + 13. Let v(m) = -11*m**2 - 2*m**2 + 14*m**2. Determine b(v(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*k - 847 = 413. Sort 7, -3, 3, k, -4.\nAnswer: -4, -3, k, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -189 - (1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55401, -55399, -55397, -55395, -55393?\nAnswer: -55391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, 2*g + i + 3*i = 0. Solve 3*m + 2*b = -5 - g, 2*m = -4*b - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 678, 1010, 1336, 1656, 1970, 2278?\nAnswer: 2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348501, -696976, -1045439, -1393884, -1742305?\nAnswer: -2090696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(12\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 18*o**2 - 16*o - 13. Let b be g(17). Let h = -19309\/2 + 9655. What is the closest to b in h, -2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5 - 2773508*p**4 + 961582156700*p**3 - 26922827671872*p**2 + 243262651909266*p - 698052266664588 = 0.\nAnswer: 6, 11, 693363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*u = -46, 0 = 143*r + 186*u - 182*u - 2415 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3767.555957 - -0.03023?\nAnswer: -3767.525727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-30)\/16) - 4\/(-10). Solve 0 = -c*v + v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 6*t**2 + 2*t**2 + 8 + 6*t**2.\nAnswer: 2*t**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303907873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*c*t - 2*c*v + 1294*t + v - 1 wrt c.\nAnswer: 123*t - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p - 1. Let d be j(2). Let x = d - 35. Let n be (4\/x)\/((-10)\/4). What is the third smallest value in -3, -0.19, n?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 2, o: 1, c: 3, r: 1, h: 5}. Give prob of picking 2 c and 2 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 318. Suppose -7*r = -5*r - y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Calculate the common denominator of 1\/u - 61\/20 and 17\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*b**2 + 0*b + 19*b - 18*b to f*b**2 + m*b + t and give f.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89\/7, 4\/13, -2\/13, 94 in increasing order.\nAnswer: -89\/7, -2\/13, 4\/13, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 196 in 0.5, -0.5, -0.3, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:29 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4288, -17139, -38568, -68587, -107208, -154443?\nAnswer: -210304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 33*i + 0 + 0*i**5 + 0*i**2 + 0*i**3 - 10\/3*i**4 - 1\/3*i**6. Find the third derivative of p(c) wrt c.\nAnswer: -240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + 49\/3 + 4. Let a(g) = 9*g + o + 6*g + 3*g - 16*g. Give a(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1014751 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-28)*49\/7. Suppose -z*s - 24678 - 69642 = 0. Round s to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311244011 (base 5) to base 6.\nAnswer: -43154121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/(-15))\/((-2)\/35). Suppose -o = -r + 5*r. Is 8 a factor of (66\/r - -5) + 187\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.690941056 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2 + 12*i - 8*i**2 + i**3 - 5 - 4*i**2. Let b be p(11). Solve -d + 2 - 8 = -5*a, -2*a - b*d + 20 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + -194.2. What is the nearest to 0 in 0, d, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -95. Let o(i) = -i. Let n(j) = -j**2 + 7*j - 14. Let z(q) = n(q) - 2*o(q). Let b be z(7). Solve -4*c + 4*d - 20 = b, 4*c = 5*d - 5 - r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y - 3*y + 8*y)*(3*y + 6 - 6)*(3 + 0 - 4) to the form k + i*y**2 + z*y and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -20*o - 63. Let k(c) = -c**2 + 11*c - 8. Let v be k(o). Solve -x = 2*j - 2, -3*x - 4 = v*x + 3*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.31 (b) -4 (c) -2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24794 = -21*j + 17*j - 2*w, 2*j - 12427 = 5*w. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 + 1 + -1. Suppose -w*i - n + 29 = -0*n, -n - 1 = 0. Is (i\/3)\/((-4)\/(-24)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-18)*(1 - 1). Suppose b = 5*q - 921 - 819. Suppose -4*d = 128 - q. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, -4\/831, 5, -2\/5, 93?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (5 + sqrt(147) + -2)) + ((2*sqrt(147) + -3)**2 - sqrt(147)) - (((sqrt(147) + 1)*1)**2 + -2*(sqrt(147)*2 - sqrt(147)) + 4).\nAnswer: -91*sqrt(3) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002141 rounded to five decimal places?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/21 + 3*h**2\/7 + 9*h\/7 - 9. Solve i(j) = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 227 = -248 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 - l + 1. Let q be c(6). Let w = -837 - -836. What are the prime factors of (q*(-3)\/(-9))\/(w\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111815.\nAnswer: 5, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.01*-0.1896.\nAnswer: 0.191496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 4, -19 in descending order.\nAnswer: 7, 4, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032.2021175 less than 9.55?\nAnswer: -3022.6521175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**3 + 401*w**2 + 1869*w.\nAnswer: -24*w + 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8342235.9 microseconds?\nAnswer: 0.00231728775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*u - 65, 4*u - 31 = -4*m + 13. Let n(f) = f + 25. Let p be n(11). What is the greatest common factor of p and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -472*p**6 + 12085*p**3 + 3*p**2 - 9174*p - 174 wrt p.\nAnswer: -56640*p**3 + 72510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5 + 4 + d - 5. Suppose 25 = s + 4*s. Let i be g(s). Which is greater: 1\/7 or i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59c2 + 2?\nAnswer: -59c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 26*q + 168. Let g be -8 + ((-1)\/2 - (-1287)\/66). Determine n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 4540161?\nAnswer: 4540216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 108095 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 25*j - 25. Let a be i(10). Solve -x + a = d + 4*x, 5*x - 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g - 4. Let h(v) = v**2 + v + 1. Let t be h(-1). Suppose -2 = -o + t. Determine q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 4*t**2 + t + 1. Let z be b(-4). Let y be (35 - (-6)\/z)\/(-1). Is 2 a factor of 1\/(y\/(-15) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a, 2*j = -0*j + 3*a + 3. Calculate the smallest common multiple of 4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541849?\nAnswer: 7, 11, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**7\/189 + 2*u**6\/135 + u**5\/45 - 2*u**4\/27 - u**3\/27 + 2*u**2\/9 - 40*u. Suppose o(k) = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14729574323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2708*g**3*p - 711*g**3 + 3*g**2*p + 7*g**2 - 4*g*p + g - 483 wrt g.\nAnswer: 16248*p - 4266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/7 - (-1 + 3). Let d = -4759\/19084 + -3\/4771. Put 2\/9, -0.3, w, d in decreasing order.\nAnswer: w, 2\/9, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -92. Suppose -57 = -i*n + 4*u + 593, 0 = 2*u - 6. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*q + 35*q - 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-9)\/12)\/3). Let r(i) = -4 + f - 1 + 5*i + i**2. Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.22, -1000, 0.4, -4.6?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16504179.\nAnswer: 3, 19, 23, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359 + 2072.\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 428\/6 + 172\/(-129). Suppose 7*n = l - 14. Let p(v) = 7*v**3 - 8. Let k(x) = -5*x**3 + 5. Calculate n*k(f) + 5*p(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4680*o**3 - 2*o**2 + 19*o - 630015 wrt o.\nAnswer: 14040*o**2 - 4*o + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w. Let q(v) = 6*v. Let x(a) = 5*p(a) + 4*q(a). Let u(z) = 50*z. What is x(u(l))?\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 12223*w**2\/2 - 2120. Let g(l) = 2*l**2. Determine b(g(d)).\nAnswer: 24446*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2911964 is divided by 2011?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*78369.\nAnswer: -1410642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 212*i - 315*i.\nAnswer: -103*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2. Let q(h) = -5830*h + 1431. Let d(n) = -49*n + 12. Let w(p) = 477*d(p) - 4*q(p). Calculate m(w(z)).\nAnswer: -5618*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2. Let h(k) = -1382*k - 1. What is w(h(p))?\nAnswer: -5729772*p**2 - 8292*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n*n*n*n**(1\/2))**17\/((n*n**(2\/7)*n)**(-26)\/(n**(-3\/4)\/(n**4\/n))) assuming n is positive.\nAnswer: n**(10627\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 32*k**3 + 9*k + (2*k + 2*k - 2*k)*(0*k**2 - 3*k**2 + k**2) to the form m*k**2 + u*k**3 + c + f*k and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubd when three letters picked without replacement from pppbbybdudpddoppudub.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137620 - 52*m**2 - 42*m + 137620 to the form k*m + z*m**2 + l and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5846 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 3542126*m**7\/15 - 827435*m**6\/2 + 4696*m**5\/5 - 2*m**4\/3 + 14887*m**2. Suppose r(l) = 0. Calculate l.\nAnswer: 0, 2\/3521, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 24*o**2 + 2*o**2. Let m(s) = -4*s**2 - 54*s. Let h(z) = z**2 + 9*z. Let n(k) = 12*h(k) + 2*m(k). Give n(c(j)).\nAnswer: 2500*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7225\/28892 + -1\/14446. Let o = 0.045 - -4.955. Put n, 0, o, -2 in ascending order.\nAnswer: -2, 0, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 7. Let o be k(-8). Let l = o - -104. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 3557703*q**2\/2 + 7115400*q - 7115398.\nAnswer: (q - 3557699)*(q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-16)*m**(8\/9))\/(m**21\/m)**4 assuming m is positive.\nAnswer: m**(-847\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1061 + 466?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6767453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5\/3 - 68*f**4\/3 - 244*f**3\/3 + 68*f**2\/3 + 80*f = 0.\nAnswer: -3, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/86 and 23\/430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*y + 30 + 5, -5*y = u - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 45*h - 44*h. Let l(j) = 2*j**3 + j**2 + j - 1. Give l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -484 + 487. Suppose -2 + 8 = 3*a - 3*b, -4*b = 2*a + 8. Solve a = -5*z + y - 18, 3*y = -m*z + 2*y - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*h + 4*l + 1, 4*h + 5*l = 24. Let c(n) = n**2 + 19. Let s(d) = -d**2 - d - 18. Let x(k) = -4*c(k) - 5*s(k). What are the prime factors of x(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = 22. Suppose -2*s = 2*b + 9 + 5, -5*b = -4*s + d. Sort s, -1, 5.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*y = 2*t - 2, -3*y = 3. Let n(j) = j**2 + 7*j + 3. Let h be n(-5). Put t, h, 3 in decreasing order.\nAnswer: 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b + 356 = -370 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - (-17 + (-13 - -47))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-7249)\/(-2))\/11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1163, -2, -3, 2 in ascending order.\nAnswer: -3, -2, 2, 1163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*f**2*w*y + 2*b*f**2*y + 2*b*f*y - 170*b*f + 3050*b*w*y - f**2*y + 2*f*y wrt w.\nAnswer: -2*b*f**2*y + 3050*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0.5, 1, -6\/13 in increasing order.\nAnswer: -53, -6\/13, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j. Let g be h(1). Suppose -t - 9 - 25 = -5*x, x - 2*t - 5 = g. Let m(q) = -3*q - 6*q + x*q. Let o(v) = -4*v**2. Calculate m(o(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 19 - 31 = 0. Let a be (c - -8) + 0\/(-4). Solve 0 = a*w - 2*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 4*p**2 + 3*p**2)*(p + 2*p - p) - 555*p**2 - 41*p**3 + 4*p**3 + 577*p**2.\nAnswer: -35*p**3 + 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3066380 is divided by 1105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/3 - 450200*r**2\/3 - 900392*r\/3 = 0.\nAnswer: -225098, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i + 6 = 0. Let l be (i + -3)\/(-1) + (12 - 6). Let j(f) = f**3 - 8*f**2 + 9*f - 2. Calculate j(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130067047.\nAnswer: 11, 23, 41, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122593761 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 3}. What is prob of sequence sfs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008703682 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - 125. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 15*q - 2. Let f(b) = -12*b**2 + 7*b + 1 - 12*b**2 + 34*b**2 - 12*b**2. Let n(p) = 9*f(p) + 4*r(p). Give n(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4654078 to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let f be 252\/98 - 3 - (-5779)\/(-7). Let u = f + 824. Which is the third biggest value? (a) q (b) 4 (c) u (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431533, 3452373, 11651787, 27619063, 53943489, 93214353?\nAnswer: 148020943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93551030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 118056 divided by 6?\nAnswer: 19676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(7\/1 + 2). Let g be 201\/k - (-8)\/(-12). Calculate the remainder when (4\/4 - 2)*g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -41*i**5\/3 - 334*i**3\/3 + 18*i**2 + 1. Differentiate k(j) with respect to j.\nAnswer: -1640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -286. What is the greatest common divisor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15550*f + 210*f**2 - 15550*f + (1 + 1 - 3)*(3*f**2 + 4*f**2 - 4*f**2))*(2 - 4 + 1).\nAnswer: -207*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -91430615 divided by -205\nAnswer: 446003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10251366 is divided by 2050272.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7 + 29. Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7*c + 1 + 3*c + 2*c - 4*c + (c + 0 + 0)*(-1 + 2 - 3) + 0*c + 122*c + 89*c + (-1 + 5 - 2)*(-c + c - 2*c))*(0 + c + 0).\nAnswer: 199*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 31*c**2 - 27*c - 49. What are the prime factors of v(-17)?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 348 - 348. Solve 4*v - 3*v = g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11947086 by -1629.\nAnswer: 7334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3315 and 8177.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 3\/74929, 13\/4, -0.1?\nAnswer: 3\/74929","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153557 - 208*j + 153557)*(3 - 3 - 1)*(0 + 0 + 2*j).\nAnswer: 416*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -41\/162, -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/60 + i**4\/2 + 9*i**2. Let f be g(-11). Let b be (5\/f)\/5 + 1. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 3*g**2 - 2*g + 1. Let l be d(3). Let t be -4*15\/18*-3. Let j be t\/(-55) - (-48)\/22. Sort l, 5, j in ascending order.\nAnswer: l, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2639815?\nAnswer: 5, 83, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387343?\nAnswer: 11, 23, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from bgbkggbggbgbgbg.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 25. Let p be h(-11). Suppose 0 = -z + p*o + 8 + 1, -61 = -5*z - o. What is the highest common divisor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183669 is divided by 45913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 - 199 = -15*x + 6*x - 27 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -46 - 107. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/45)\/(((-2560)\/200)\/32).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10598151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 + z**3)*(-181*z**2 + 965*z - 965*z).\nAnswer: -181*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5789?\nAnswer: 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -9. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 545*l + 7. Is h(3) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2242 - 4.\nAnswer: -2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3219 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 14 = -a. Sort a, -6, 5.\nAnswer: -6, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/17 (b) -1\/3 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 2945, 6636, 11803, 18446, 26565?\nAnswer: 36160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - p**2 - p + 2. Let b be 1395\/195 + (-4)\/26. Let j = b + -9. What is o(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 + -89. Let i = b - 32. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16326 is divided by 8088.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21028763 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2160*x - 36742. Determine u(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o\/o**(2\/15))\/o))\/o**(-1\/10))\/(o\/o**0)**14 assuming o is positive.\nAnswer: o**(-413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 3*l**8\/28 - 11*l**4\/12 - 15*l**2 + 3*l. What is the second derivative of j(x) wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*1989.193.\nAnswer: 19.89193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 7*b. Let w be u(-5). Let m = -40 - w. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677.8 plus -0.03?\nAnswer: 2677.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.3. Let h = 94616 + -94616.1. Let c = 6.7 + -7. What is the second smallest value in h, t, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from kkkjjkkjjj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 342164*f**2 - 278*f - 1390. Let v be a(-5). Round v to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 + -229. Sort 0, 2, 50, n in descending order.\nAnswer: 50, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + (-9)\/(-10). Let s = 49 + -27. Let d = s + -22.05. Put d, -0.5, y in increasing order.\nAnswer: -0.5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 + 1\/24*x**6 - 1\/16*x**4 + 0*x - 5 + 0*x**5 + 0*x**3. Factor u(d).\nAnswer: d**3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**8\/2240 - m**5\/60 + 19*m**4\/24 + 41*m**2. Let o(x) be the second derivative of f(x). Differentiate o(t) with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 16*n - 61. Let r be s(11). Let u(j) = 6*j**2 - 6*j + 21. What is the tens digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -74535.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = f + f - 32, 4*f - 64 = -p. Suppose -w + f = -24. Let r be ((-1)\/2)\/(3\/(-60)). What is the greatest common divisor of w and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/15*3\/2. Let n be (75\/(-9) + 5)*54\/(-30). Let u(b) = -8*b**2 - 4*b + 8. Let h(o) = 7*o**2 + 3*o - 7. What is n*h(l) + p*u(l)?\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 8*d**2 - 5. Let c be x(-8). Sort -1\/7, -0.5, c in descending order.\nAnswer: -1\/7, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -4*s**4 - s**2\/2 - s - 1. Is 9 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 61. Suppose b*w - 14 = 21. Calculate the remainder when 81 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-20) + 3\/2. Let i(o) = 1 + 38*o - m - 39*o. Let u be i(-2). Solve r = -4*g + 2*g + u, 5*g + 5 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 + 0*h**2)*(-18 + 1 - 33) + (2 + 1 - 4)*(-4*h**2 + 4*h**2 - h**2) + 6*h**2 + 9*h**2 - 5*h**2.\nAnswer: -89*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -25*q - 20. Let h be g(4). Let w = 123 + h. Solve -5 = -b - 4*c, -w*b - c = 2*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742758?\nAnswer: 2, 31, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.465 + -7.03?\nAnswer: -6.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934936?\nAnswer: 2, 491867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -43.54?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4 - 8 = -2*h, 2*h - 3*j - 11 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(1*8))\/((-22)\/(-22)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h**2 + 562655*h - 1271972 = 0 for h.\nAnswer: 52\/23, 24461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 9. Let x(i) = 2*i + 2. Let j(m) = -8*m - 4. Let k(q) = -j(q) - 5*x(q). Give k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d**5 - 6*d**3*s + 104*d*s + 10*s - 1 wrt d?\nAnswer: -440*d**3 - 36*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/792)\/(1196\/(-101361)) and 83\/36.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 84. Let j be 220\/16 - 1\/(-4). What is the highest common factor of j and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 91 = -71 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 63 + 109. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(190) - (sqrt(190) - sqrt(190)*3) - sqrt(190)))\/(sqrt(90)\/(sqrt(9)*-3)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011130094 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**4 + 5*p**3 + 165. Let c(q) = -10*q**4 + 6*q**3 + 165. Let b(s) = -5*c(s) + 6*i(s). What is the first derivative of b(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -56?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12002026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 0*o**2 - 3*o**2 + 4*o**2 - 4*o**2.\nAnswer: -3*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34897, 34891, 34881, 34867, 34849?\nAnswer: 34827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**8\/112 + b**7\/105 - b**6\/30 - b**5\/30 + b**4\/24 - 4*b**2. Find v such that w(v) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240\/9*l - 56\/9*l**3 + 3200\/9 + 184\/3*l**2 + 2\/9*l**4 = 0. Calculate l.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -26. Let s(v) = -2*v + v - r*v + 0*v. Let j(a) = a**2. What is j(s(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*g = 21, -5*x + 2*g + 7 - 42 = 0. Let u(w) = w**2 + 8*w + 7. Let i be u(x). Let o(f) = f + 79. Is o(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -11 - 1. Suppose 4*g - 10 - 6 = -4*o, -5*g + 14 = 4*o. Calculate the least common multiple of h\/2 - (-19)\/1 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:45 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 742, 3630, 10022, 21208, 38478, 63122?\n\"Answer: 215*z**3 + 462*z**2 - 3*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/257 and -113\/240552.\nAnswer: 240552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 46, 88, 182, 346, 598, 956?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104473133311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6921 - -31261. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -1, -6, -13?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46982 and 164437?\nAnswer: 328874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(847) - sqrt(847))**2 - ((sqrt(700) + 1)*6)**2.\nAnswer: -25232 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.021. Let h = 0.569 + w. What is h rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -7 - 5) + -5 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 - 31*g**2\/2 - 73*g\/6 + 4.\nAnswer: (g - 24)*(g + 1)*(4*g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1209, -9243, -31029, -73443, -143361, -247659, -393213?\n\"Answer: -1146*h**3 - 12*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -885 - -884. Sort 5, l, -23, 4 in increasing order.\nAnswer: -23, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1300 - -1?\nAnswer: -12ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14968, 4\/7, 0.2 in increasing order.\nAnswer: -0.14968, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 134\/(-10) - 136\/((-12240)\/(-54))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*x**2 - 10*x - 11*x**3 + 185*x**2 wrt x?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2820\/(-80))\/(2\/24). Let a = -248 - p. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.77 - 0.23. Let o = s - -25. Let n = o - 11.99999933. What is n rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -17.45. Let s = -0.05 - k. Let g = s - 5.4. Which is the nearest to -1? (a) 0.2 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 350 (b) 0.0535 (c) 1\/5 (d) -3 (e) -0.1 (f) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:14 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5956 - -4?\nAnswer: -5952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 - 1650*b**5 + 1865*b**5 - 14 + b**3 - 687*b**2 wrt b.\nAnswer: 12900*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4544, 4542, 4538, 4532, 4524, 4514, 4502?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15064284 and 97917846?\nAnswer: 195835692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50124 and 8336.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1115?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1888, -3759, -5630, -7501, -9372?\n\"Answer: -1871*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13110 and 29175.\nAnswer: 25498950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -10.79.\nAnswer: -11.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -447 + 0*b**3 - 2*b**3 + 2*b**3 - 121*b**4 + b**3 wrt b?\nAnswer: -484*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102212121012022 (base 3) to base 9.\nAnswer: -12777168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 12*f**2 + 10*f - 7. Let s be u(-11). Suppose l - s*l = 3. Let q = 37 + l. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -381 - -542. Let y be z\/49 + (-2)\/7. Suppose 2*x - 46 = -5*o, -2*o - 3*x + y = -11. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 times 213?\nAnswer: -29607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 8 - -4) + 0. Let u(n) = 2 + h*n**2 - 9 + 7. Let g(f) = f. Calculate g(u(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - h**2 - 2*h + 1. Let c be b(5). What is the highest common divisor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 2451.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -14 - 5\/3*d**3 + 15\/2*d**2 + 20*d. Factor i(l).\nAnswer: -5*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 + 47.9. Let r = 45 - u. Let i(n) = n**3 - 4*n**2 - 5*n - 3. Let j be i(5). What is the nearest to 0 in r, j, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403*o**5 + 2*o**4 - 235*o**2 - 2*o - 21345.\nAnswer: -8060*o**3 + 24*o**2 - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -106, -127, -148, -169?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 20 = -46 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 11*r**2 - 7*r + 12. Let q(c) = 5*c**2 + 47*c + 8. Let o be q(-9). Calculate a(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 17*u**4\/24 + 19*u**3\/6 - 10*u**2. What is the derivative of o(g) wrt g?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 89.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 13*m - 61. Determine x(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let t(b) = -361*b + 2 + 438*b + 589*b + 307*b. Give t(d(o)).\nAnswer: 1946*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2789 - 2787. Factor -1\/4*i**z + 0 + 1\/2*i.\nAnswer: -i*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z. Suppose -3*j + 9 = 2*a, 0 = a + 5*j - z*j - 1. Let l(o) = o**3 - 7*o**2 + 6*o + 2. Let x be l(a). Solve i = x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 5, 1\/3 in descending order.\nAnswer: 5, 1\/3, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2795198 millilitres to litres.\nAnswer: 0.0002795198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Let h be -5 + 2 + (n - 0). Suppose -5*t + r = -123, -5*t + 131 = h*r + r. Solve g = 3*i - i + 5, -5*i + t = 5*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c424d - 2?\nAnswer: -c4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:59 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 85451352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 6. Suppose 0 = -g - 5, -h - 9 = h + w*g. Solve 6 = -u + h*n, -n + 4 = u + n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-42))\/(15 - (-935)\/(-60))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -534, 2\/13, 2\/5, 4, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - 2) + (1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*10\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1535 + 1536.219. Round i to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2\/2 + 3. Let q(t) be the first derivative of 1\/12*t**6 + 1 + 5\/3*t**3 + 5\/4*t**4 + 5\/4*t**r + 1\/2*t + 1\/2*t**5. Find y, given that q(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 3*sqrt(833) + sqrt(833) - (2 + -1*sqrt(612))**2).\nAnswer: -3696 + 312*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 - -7.8. Let i = d - 5. Which is the nearest to -0.1? (a) i (b) -3\/11 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 + -7.1. What is the nearest to 10\/7 in 0.5, -3, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -2)\/1*4\/54. Which is the nearest to -0.1? (a) w (b) 31 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - (4*-96 - 7). What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381052.\nAnswer: 2, 7, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 45248*i**4 + 963*i + 6?\nAnswer: -40*i**3 + 542976*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61689, 123208, 184727, 246246, 307765, 369284?\nAnswer: 430803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-7) - (-14466)\/21. Let w = -286 + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v**2. Let f = 146 - 144. Let x(b) = 25 + b**f - 25. Calculate t(x(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872 - 871.6. Which is the closest to -2\/3? (a) -1\/2 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1241273, 1241327, 1241383, 1241441, 1241501, 1241563, 1241627?\nAnswer: 1241693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.0366.\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, -205, -5, 2 in descending order.\nAnswer: 2, 1, 0, -1, -5, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*k + 286045 = 164137 - 899214. What is the greatest common divisor of 102 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1207 and 8250.\nAnswer: 995.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32778 = -31*c - 5002. Calculate the highest common factor of 658 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124 - -99) + -86 + -9.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2637836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 1502756.\nAnswer: -11\/375689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a - 51. What is u(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*n - 397429 = -1123079. Calculate the remainder when n is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**5 + 230*d**4 + 1495*d**3 + 3320*d**2 + 3100*d + 1040 = 0.\nAnswer: -2, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + w**3 + 0*w**3 + (w**2 - 2*w**2 - w**2)*(-4*w + w + 0*w) - 4*w**3 + 0*w**3 + 2*w**3)*(-2 - 1 + 2)*(0*w**2 - w**2 + 0*w**2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 296, 1202, 2850, 5354, 8828?\n\"Answer: 19*x**3 + 257*x**2 + 2*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46075987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**4\/6 + 10*m + 13. Let i(o) = 13*o. Give r(i(t)).\nAnswer: 1690*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1126*m + 6185*m + 146220 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -93 and -0.897.\nAnswer: -93.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:31 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Suppose m*i + 19 = 115. Suppose 3 = -3*q + i. What is the highest common factor of q and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28080, 56393, 84704, 113013?\nAnswer: 141320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3472 + 1651. Let s = 2830 + f. List the prime factors of s.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9619671 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 f be ((-12)\/(-10))\/(412\/(-60) + 7). Let q = f + -9. Suppose q*c + c = h - 7, 2*h - 5*c = 2. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 865 + -603. What are the prime factors of (-3 + 4)\/(1 + u\/(-263))?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from zzzzzlzllzzzzzzzzz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2*l**2 - l + 1. Let j be b(-2). Let h = -3 + j. Put 3, -2, h in descending order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s + 4. Let b be n(4). Suppose -b = -t - 3*t. Let v = t - 11\/2. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197396 to 5 dps.\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021354918 rounded to 5 decimal places?\nAnswer: -0.02135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*23)\/(3 + -4). Let z = i - -79. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2259 - -2293. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11575502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 5. Let r be v(3). Suppose 0 = g - r*g. Calculate the remainder when 3 is divided by (3 + g)*(-6)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 105. Suppose -t*s = -0*s - q - 144, -4*s - q + 282 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7269889 and 0.1.\nAnswer: 726988.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -978838 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9215330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k + 73*k = -3*s + 39, 82 = 8*k - 3*s for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60086435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l - 6. What is the remainder when 25 is divided by ((-27)\/15)\/(l\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -27, 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4\/3, -2\/5, 90\/23, 4 in descending order.\nAnswer: 11, 4, 90\/23, -2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0*j**2 - j**2 + ((1 - 3 + 6)*(-2*j + 2*j + 2*j) - 2 - 2*j + 2)*(-j - 1 + 1) + j**2 - 4*j**2 + 2*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 176. What are the prime factors of 718 + -4 + x\/2?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.2 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67648932634412 and 6.\nAnswer: 67648932634418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -57, -74?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 4162123?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/10)\/(28\/35)*(-10)\/70?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 23*f**2 + 24*f**2 + 5 + 14*f - 50*f**2. Let h(q) = 2*q - 5. Calculate 8*h(g) + 3*o(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 - 2*h - 1. Let b be a(-3). Suppose -b + 1 = -l. What is the second derivative of -2*y**4 + 0*y**4 - 6*y - y**4 + l*y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.213 times -0.839804\nAnswer: -0.178878252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 6*w**2 + 7*w + 6. Let y be v(-5). Let o be 5*(-1 + y\/(-10)). Let q be (o\/(-2))\/(6\/20). Solve 14 = 3*u + q*i, -2*i = 3*u + i - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and 0.63?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-9*5\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + -4 - (287 - 317 - (0 - 22))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (56\/(-35))\/((-4)\/10). Solve -f*s = -4*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 7. Let k be q(0). Let t be (-32)\/(-7) - (-3)\/k. Solve -1 = -4*n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 0.11273.\nAnswer: -0.067638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7459*k**2 - 9*k - 5. Let m be u(-10). Let p = m - 79185. Let g be -4 + (4 + -2 - -2) + p. What is g rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 59927*d**2 + 59962*d**2 + 19*d.\nAnswer: 35*d**2 + 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*s + 3*m**2 + 3132*m*s - 2*m + 11590*s - 10 wrt m.\nAnswer: 9*m**2*s + 6*m + 3132*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3371 + 3371. Suppose -4*f + 60 = f. Let h = f + -8. Solve 0 = h*i + 12, 4*t - 2*i + k = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.095.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443672 is divided by 4014?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 20*y**2 + 10*y + 203. Let n be p(-20). Solve -4*a = 0, 0*w + w + 5*a = n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.66\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z + 7*z - 10*z - 18457 - 12*z.\nAnswer: -29*z - 18457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521889646 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11212122000210 (base 3) to base 10\nAnswer: 2590887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 64895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/30 - 925*l**3\/6 + 2900*l**2. Let x(b) = 3*b. Give o(x(t)).\nAnswer: 18*t**2 - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -40. Let b be -4*2\/x*-2. Differentiate -3 - 5*z**2 + 8 - b wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3769 is divided by 518?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 4)*(0 - g**2 + 0)*(-4420555 + 4420555 - 2711*g**2) to x*g**4 + v + j*g + o*g**2 + h*g**3 and give x.\nAnswer: 5422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82\/3 + -27. Let k = 91338\/5 + -18333. Let v = k - -65. What is the closest to v in h, 2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**4\/7 - 1840*n**3\/7 + 15846*n**2\/7 + 30280*n\/7 + 1800 = 0. What is n?\nAnswer: -315, -1, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*q + 443*q - 656*q**2.\nAnswer: -656*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-15)*-5 + 40474672\/(3 - -4). What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/2 + 30805*f**2\/2 + 61580*f + 61570.\nAnswer: 5*(f + 2)**2*(f + 6157)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2669?\nAnswer: 266b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7169845 + -86182279\/12. Let i = g + 12021. Calculate the common denominator of 73\/16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 481 + -488.9. Let k = z - -7.4. Which is the nearest to 0.1? (a) 0.3 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**8\/840 + g**7\/525 - g**6\/300 - g**5\/150 - 11*g**2. Factor l(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*1*-1)\/((sqrt(64) - (sqrt(64) - sqrt(64)*2))*-6).\nAnswer: -sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 7. Let t be j(-7). Let y(d) = -3*d - 51. Let x be y(-17). Solve -3*w + x*w + 15 = t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 2. Let m = w - 2. Let z(t) = -2*t**3 + t**2 + t. Let y be z(m). Let g(o) = o**2 - 2*o + 2. Give g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 3\/(-1) - -1. Suppose 2*t - 52 = -o*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u - 130. Let r be d(-11). Solve -6*k = 10 + r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -2, 3 in increasing order.\nAnswer: -2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -35\/6 (b) 3\/2 (c) -13 (d) 0.3 (e) -2\/9 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 + 6*u - 4. Give c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + 15*z**2 - 3*z - 2. Let s(i) = -i**3 - i**2 - i. Let r(u) = -c(u) - 6*s(u). Does 5 divide r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.24 - 60.98. What is f rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479490575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 - s**4 + 4*s**2 + (-2 + 4*s + 2)*(s**3 - 8*s**3 - 6*s**3) to the form h*s**3 + f + b*s**4 + l*s**2 + j*s and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38340733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - x = 4, 4*y - 34 - 2 = 2*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a - 2. Let k(f) = -f**3 - f**2. Give -h(y) - 3*k(y).\nAnswer: 2*y**3 + 3*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 8. Calculate o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19074 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 450 = 5*v, 29413*v - 29407*v - 540 = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-21))\/((-3)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 436, 655, 876, 1099, 1324?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423321 (base 5) to base 15.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 54*p**2 + 3*p - 3. Give o(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-2) - (-48)\/3 is divided by (18 - 17) + (-9)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28232.\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*q**3 - 14 + 236*q**3 + 364*q**3 + q.\nAnswer: 337*q**3 + q - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2440*w**2 - 4*w + 5. Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 9*h - 11. Let c(y) = 7*y**2 - 18*y + 21. Let g(b) = -6*c(b) - 11*l(b). Let v be g(-5). Solve v = n - 0 + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 19)\/((-8)\/4). Let y(t) = 6*t + 21. Let w(a) = a + 4. What is h*w(j) - 2*y(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - -84. What is the greatest common divisor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*l - 2 + 27*l - 66*l + 4*l**3 + 36*l**2 + 3*l**4 - 39*l**2 + l**3 to the form g*l**2 + p + d*l + y*l**4 + q*l**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 8)\/(1 + (-3)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.04, 3\/7, 21, 5, 0.\nAnswer: -8, -0.04, 0, 3\/7, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1272450 and -143\/50898.\nAnswer: 1272450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)**2 + -1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13453722 to the power of 1\/2, to the nearest integer?\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760\/30*(-6)\/(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + q - 4. Let v(w) = 4*w**2 - w + 1. Let r(x) = -21*x**2 + 5*x - 4. Let g(b) = -2*r(b) - 11*v(b). Give 3*g(l) - 2*y(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.3 (c) -4\/3 (d) 0.5 (e) -1\/1256 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051694023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 - 5*f**2\/2 + 138*f. Let n(z) = -2*z**2 - 12. Determine 5*n(k) - 12*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (392\/398 - 1)*(-42)\/63. Let r = w + -629\/3184. What is the fourth smallest value in r, -3, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.18 + 0.25. Let s = w - 0.07. Which is the second biggest value? (a) 1 (b) s (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 8:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**3 + 0*x + 0 - 4*x**2 - 1\/10*x**6 + 0*x**4 - 7\/30*x**5. What is the third derivative of h(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zebp when four letters picked without replacement from bbbbbppobppzbbe.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93976064*v**2 - 81489682*v wrt v?\nAnswer: 187952128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5 (b) 0 (c) -0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/9*(-14 - -17). Let o = -0.138 + 0.038. Let q = -283\/77 + 42\/11. What is the closest to o in x, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q**2 - q - 6. Let z be (6\/(-8))\/(651\/112 - 6). Let o be i(z). Let y(t) = -5*t - 31. Is 3 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1*5 - (sqrt(228) + 5*sqrt(228)*-2 - sqrt(228)))\/(((sqrt(96) - sqrt(96)*4)*-2)\/sqrt(8)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/12 + 1\/(-4). Let b = 4 - q. Let s(m) = -m**3 + 5*m**2 + 7*m - 7. Let w be s(6). Sort 3, w, b in descending order.\nAnswer: b, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111122011201 (base 3) to base 5\nAnswer: -1103103123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 147, -1\/3, 0.1137?\nAnswer: 0.1137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 48*y + 107. Let v be u(-26). Solve -v*h - 5*s + 0*s = -3, -4*h = -4*s - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 8*v**2 + 3*v + 6. Let d be f(-8). Let r = d - -17. Let z(c) = 148*c**2 - c. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(159*c + 34*c + 40*c).\nAnswer: -466*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 8*n + 12. Suppose n = 10*k + 4. Solve -3*h - 4*b + 15 = k, -4*b = -3*h + 12 + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/(-27) - (-1 - (-30)\/(-5)))\/((-429)\/351).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 199*l - 10. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 12, 72, 15.9?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16688 and 6258.\nAnswer: 50064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 11*q**2 + 2*q + 25. Let p be z(-11). Let o = -25\/8 + p. Which is the second smallest value? (a) -0.5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0424 minus 5165?\nAnswer: -5165.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2408 + -1033\nAnswer: -1032.7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3)*33\/55*2. Solve 1 - 2 = -4*a + 3*q, w*q = -4*a + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1*(-2)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**6\/((w\/(w\/((w*w*w**(-2\/13)*w)\/w)))\/w**(-2\/39)) assuming w is positive.\nAnswer: w**(394\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 13*i**2 + 37*i + 43. Let k be p(8). Solve 5*o - k = -3*r, o - 9 = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*x - 158 = -818 - 1345 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 3*w - 143. Let k(n) = -6*n**2 - 7*n + 286. Calculate 7*d(j) + 3*k(j).\nAnswer: 3*j**2 - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 4, s: 2, x: 6, i: 3}. What is prob of picking 1 f and 1 l?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -1111034113?\nAnswer: 1111034214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71395653737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10673 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3485.3 - -3485.448797. Let i = -0.1501 + z. What is i rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45465378 divided by 22732689?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/176 and -51\/7414?\nAnswer: 59312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2559 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v + 2013 - 2557 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 8*a - 4. Let t be q(-5). Let m = 56 - t. Let l = -30 + m. Solve 3*u - l = -2*g, 2*u + 3*u + 5*g - 25 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(89440\/(-336))*20\/(-35).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l - 5*l - 60*l - 62*l - 21*l.\nAnswer: -132*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 + -2)*1\/(-3)*-5. Suppose 0 = 6*x + 8 - c. Sort x, -4, 3 in descending order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20354 (base 6) in base 13?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -39, -84, -147, -228, -327?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b + 3. Let g(k) = -2*k**2 + k + 4. Suppose -2*q + 24 = t, 2*t + 76 = 4*q - 3*t. Let n = q - 17. What is n*g(x) + 4*h(x)?\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111 + -1002022122?\nAnswer: -1002020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299439 is divided by 649710.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23808.97 - -23809. What is the biggest value in -0.031, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.051 - 0.051. Which is the second biggest value? (a) 3\/7 (b) 4\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**3 + 44*z + 0*z**5 + z**2 - 17\/10*z**6 + 1\/12*z**4 + 0. What is the third derivative of u(s) wrt s?\nAnswer: -1224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 49308*g**2 - 151732800*g + 1369592064.\nAnswer: -4*(g - 9)*(g + 6168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:19 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 0, 5*t = s + 19 - 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18660128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 2 - 14) + 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -73248181\nAnswer: 2\/73248181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 - (20 - (-1 - (-9 - -5)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11836 and 572970?\nAnswer: 12605340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1. Let t(v) = 2*v - 4. Let m(f) = f**2 + 3*f - 14. Let r be m(-6). Suppose r = -u + 2. Give u*p(l) - t(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 - 150. Suppose 0 = -2*t + 246 + v. Let r = t + -1132\/7. Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -293 and -2.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.3668ml to litres.\nAnswer: 0.7513668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 + -81. Let b = -2 + 6. Suppose 0 = o + b*o - c. What is the remainder when 24 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 10) to base 5\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(240) - (sqrt(240) + (1*sqrt(240) - sqrt(240))) - sqrt(240)) + sqrt(240) + sqrt(240) + sqrt(15))\/(sqrt(10)\/(sqrt(2) - sqrt(2)*2)) + 1.\nAnswer: 1 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 4, z: 3, j: 8, e: 1}. What is prob of picking 2 j and 1 e?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 189, 1031, 2433, 4395, 6917, 9999, 13641?\n\"Answer: 280*g**2 + 2*g - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 138?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*c + 100, 3*q + 14*c - 345 = 17*c. Which is smaller: q or 114?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1006 - 4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4278, 17411, 39302, 69957, 109382?\nAnswer: 157583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754834 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/84*(3 + -15) + -1*204\/7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 10. Let f be h(-8). Let m be -2 - (f - 2 - -1). Let x(w) = 12*w - 1. Give x(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -919 + 1045. Solve q - 141 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-24))\/((-25146)\/(-4064)))\/(1\/(-45))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 269?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 136615?\nAnswer: 136562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8751*u + 2423*u - 5955*u - 8036*u.\nAnswer: -20319*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26132 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) + (-2)\/((-6)\/99863) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 4)\/(6\/26). Suppose -20 = -5*b - 4*n + 3*n, 0 = -2*b + 5*n - 19. Suppose 2*z = b + v. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 303, 445, 581, 711?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190594588 by -497636.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19801112 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3705)\/312*(-12)\/(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16450 * 0.087\nAnswer: 1431.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(-1\/14))**(-29)*(a\/(a\/(a**(-2\/3)\/a)))**(-11)\/(a\/(a*a**(-4)*a)*a*a**(-1\/5)) assuming a is positive.\nAnswer: a**(3197\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55843 is divided by 321.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 4756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 8976*l**2 + 44823*l - 53766.\nAnswer: 3*(l - 2987)*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150846?\nAnswer: 2, 53, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.09 and -10399?\nAnswer: 10396.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 68. Suppose 0 = -l*y - 4*w, 3*w = 4*y - 15 + 1. Suppose 0 = 5*a - 0*a + 10. Sort -1, -7, y, a.\nAnswer: -7, a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4*t - 16*o**4 - 3*o**3*t + 2*o**2*t + 15*o**2 + 20*t wrt o?\nAnswer: 24*o*t - 384*o - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5822*a - 820887. Determine s(-141).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19466813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/8 - 807*j\/4 + 28756.\nAnswer: (j - 1456)*(j - 158)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4\/5 - 20004*q**3\/5 + 40023*q**2\/5 + 20004*q\/5 - 8004 = 0.\nAnswer: -6670, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 485210\/1093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55471007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101130 + -123?\nAnswer: -101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.41. Let z be (1\/4)\/((-3)\/9). Let i = 0.718 - 0.418. Which is the nearest to -0.1? (a) p (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 5, -2, 5777.4 in decreasing order.\nAnswer: 5777.4, 5, 4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -203. Let l be -3*(g\/9 + -3). Let k(a) = -3*a - 7. Calculate k(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-3 - 0)) + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 3, a: 3, w: 2, q: 5}. What is prob of sequence aw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 6417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 8:20 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a + 71. Let t = -140 - -146. Let g be h(t). Sort g, -6, -2, 0 in increasing order.\nAnswer: -6, -2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1)*(15\/(-12) + 1). Solve u = -6*l + 27 - 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l\/(l**(-3\/7)*l*l)*l*l**(-5\/2)\/((l*l**(-2)\/l*l)\/l))**(30\/11) assuming l is positive.\nAnswer: l**(-2325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + 16*g = -92*g + 9509676. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*g + 9, 5*g = -s - 3 - 0. Let j be g\/((0 + -2)\/2). Suppose -f = -3*r - 2*f + 5, -4*r - 6 = -5*f. Put r, j, -3 in descending order.\nAnswer: r, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-72)\/(-32) + -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w - 4. Let o(y) = -8*y - 135. Let z be o(-16). Let i(f) = -27*f - 7. Give z*v(q) + 4*i(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80683 is divided by 455?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 - 435 = 220*l. Factor -14\/11*y**l + 30\/11*y - 16\/11.\nAnswer: -2*(y - 1)*(7*y - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2378 equal to 135710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00335233 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - u - 320. Let g be a(0). Let j = 563 + g. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6068 + 0.73. What is a rounded to two decimal places?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 + 1634*w - 5377. Give p(269).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*f - 216*f**2 - 76*f**2 + 152*f wrt f?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*(-28)\/(-294).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 4\/3 + -1. Let c be (-19)\/(-221)*84\/(-8). Let r = c - -16\/17. Are h and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) -3 (c) -2 (d) 2 (e) 0.4 (f) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 859826760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107364289.7 * 0.3.\nAnswer: -32209286.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 2200 = 2140 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdvigdzddddddzidv. Give prob of sequence ivv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.4? (a) 8\/75 (b) 5 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244674 divided by 12.\nAnswer: -40779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 14*l - 2. Let w(z) = 4*z**3 + 21*z - 3. Suppose 153 = -20*c + 13. Determine c*p(t) + 5*w(t).\nAnswer: -t**3 + 7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*((-1 - 1 + 0)*(-3*u + 3*u - u) + 0 + 2*u + 0 + 3*u + 0*u - 2*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from {o: 5, z: 1, d: 1, h: 2, w: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75779.82216 - 75947.82216276. Let g = h - -168. What is g rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19505 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - ((-32 - -49) + (6 - 3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 35*t**2 - 215*t + 33. Let v be x(6). Determine o so that -24\/7*o - 54\/7*o**v - 3\/7*o**5 + 60\/7*o**2 + 3*o**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/7 + 12*t**2\/7 - 38*t\/7 - 24 = 0. Calculate t.\nAnswer: -7, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2830 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 - 191. Let f be -1 + -2 + 3 + c. Let s(u) = -u**2 - u + 1. Let t(l) = -9*l - 6*l**2 + 2*l + 0*l + 6. Determine f*t(h) + 5*s(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 5 + (11 - (11 + -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101000 + -110000101100011?\nAnswer: -110001100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + b + 7*b**2 - 19*b**2 + (1 + 3*b - 1)*(0*b - 3*b - 2*b))*(-2*b**3 + 4*b**3 + 0*b**3).\nAnswer: -44*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614, -613, -610, -605?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*o = 1 + 16, -2*l - 2 = 4*o. Suppose -5*r + 4*b - 8*b - 100 = 0, -3*r - 2*b - 60 = 0. Put l, r, 5 in ascending order.\nAnswer: r, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 11*x - 3. Let f be m(10). Let j(k) = -k**2 - 2 - 22*k - 9 - 17 + 16. What is the remainder when j(f) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 89*q - 13*q = 63*q + j + 4*j - 32, -j - 1 = 0 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*((-2)\/36)\/(23\/322).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypppvvypcypysvcy. Give prob of picking 1 s, 2 c, and 1 v.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 + i**2\/2 + i + 44. Let x(l) = 3*l**2 + 2*l + 1. Give 4*b(m) - x(m).\nAnswer: m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - t**4\/12 + 11*t**3\/6 - 12*t**2 + 125*t. What is the units digit of p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -61.026. Let y = -118.974 - i. Let v = 131 + y. What is the third smallest value in -2\/9, -5\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/220)\/((-5658)\/(-1804)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1738, -211, -3, 6.\nAnswer: -211, -3, 6, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and 10134619675.\nAnswer: 10134619701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 1.97. Let c = -1.06 - -0.06. Sort 5\/4, c, m in descending order.\nAnswer: 5\/4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -1\/13*r**2 + 1\/26*r**4 - 4 - 4\/39*r**3 + 4\/13*r. Factor v(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.1. Let i = n + 1.1. Let u = -5 + i. Which is the third biggest value? (a) 2 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + (-4)\/12. Sort 1, -3, k, -4 in increasing order.\nAnswer: -4, -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891592?\nAnswer: 2, 13, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-12) - -1*9. Suppose -13*l + i*l + 102 = 0. What is the remainder when 65 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - (16 - 10))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 8*j - 6. Let r be u(-8). Let w be r\/4*168\/(-36). Solve p - w*p - 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (-12 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3933 = 223406*f - 223475*f for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2991140 and 133248?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Suppose x*l = 5*o - 20, -l = 4*o - 6*o + 7. Suppose 5 = o*q - 1. Solve -6*c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*479*-2*3\/9. Suppose m + 2 = 3*m, -2*w = 4*m + y. What is w rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 2, h: 2, w: 2, q: 8}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32399?\nAnswer: 179, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 398 + 394, 5*a = -4*q + 258 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.97 + 2.1. Let v = i + -0.03. What is the nearest to v in 0, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -91*c + 92. Give n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + g = -381, 0*l - 1148 = -3*l + 2*g. Let r = -259 + l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f - 115*f = y - 7, 4*f = 6*y + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (11 + 5 + 1 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -16\/62899?\nAnswer: -16\/62899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h - 5*h + h + 2 - 2 + 0*h - 4*h + 2*h - h + 2*h + h + (-1 + 4 - 5)*(2*h + 3*h - 3*h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -897 + 977. Calculate the highest common divisor of 96 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2*((-70)\/21 + 3). Let w be 2 + (-2 - -2) + (d - 1). Solve -2*a + w = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974953.\nAnswer: 3, 991651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-8)\/(-10))\/((-264)\/220))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 36*g**2 + 149*g - 16. What is the remainder when 1163 is divided by a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 7 + (-2 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*v = 3544, 3*y = 7*y - v - 3544. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 461, 1024, 1803, 2792, 3985?\n\"Answer: -o**3 + 117*o**2 - 3*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 + -0.2. Is 0.04 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let d be f(4). Is 9 a factor of 33\/2 - d\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6 and -22\/1184401?\nAnswer: 7106406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/22 and (-14)\/((-258552)\/(-222309)) - -12?\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2*r**2 + 5*r**2 + 6*r**2 + r as b*r**2 + y*r + n and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 3270318?\nAnswer: 94839222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/5))\/(j*(j*j**(1\/5))\/j)*j**(2\/9)\/j**5)**28 assuming j is positive.\nAnswer: j**(-6524\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 851321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21 - 5*y + 2 + 7*y - 248*y**2 - 20 wrt y.\nAnswer: -496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -573 - -2. Let r = 2283\/4 + t. Is r at most -0.079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 26 + 5. Solve 5*l + 40 = -5*n, 4*l + 3*n + v = 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.9 + -15. Let t = -229.1 + 227. Let s = t - i. Which is the fourth biggest value? (a) 2\/5 (b) -4 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3096420706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -26. Differentiate 10*c - g*c + 8*c - 19 with respect to c.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 + -0.31. Let f = -14 + 10. Which is the biggest value? (a) -0.5 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1221 + 1201. What is the closest to 0 in l, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10541330 and 400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2378 - 1346 = -49*z. What is the least common multiple of z and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*z, 20 = -5*v - z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333040 is divided by 83260.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 251*p**3 + 4*p**2 - 3*p + 9. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/9))**15 assuming s is positive.\nAnswer: s**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8392)\/(-44) - 57\/(-209) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(-2 + -1). Let r = -701 + 696. Which is the nearest to 2? (a) r (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06536 from -7.\nAnswer: -7.06536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m**2 + 138*m**2 - 69*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 12. Calculate the remainder when 55 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Let l(r) = h*r + 3*r - 2*r - 2*r. Let z(x) = 0*x + 0*x + 4*x + 0*x. Calculate l(z(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249.9645 - -250. Let q = 0.0513 + l. What is q rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 2)\/((-2)\/5). Let z be -1 + 18\/10 - (-42)\/10. Suppose -5*s = 3*o - 32 + i, -1 = -4*o + z*s. Solve -p + o*p + j - 20 = 0, p = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72467a1 (base 11) in base 16?\nAnswer: c32b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 49. Solve 0*v - o = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 15*f - 9. Let h be b(14). Suppose -w = w - h*q - 19, -4*w + 13 = -5*q. What is the nearest to w in 2\/13, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06874 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.05 - 57. What is n rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3687, -5147, -7573, -10965, -15323?\n\"Answer: -483*b**2 - 11*b - 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5 + 63*i**4 - 2307*i**3 - 84087*i**2 - 874260*i - 2891700 = 0?\nAnswer: -18, -15, -7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s + 1. Let q be d(0). Let n = q + 11. What is the tens digit of (0 + 34)*(-5)\/((-40)\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 351491, 352371, 353251?\n\"Answer: 880*j + 350611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 26228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*l**2 - 149*l**2 + 6*l - 182*l**2 - 16*l**3 - 2 + 18*l**3 to the form k*l**2 + y*l + i + d*l**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 13*r - 15. Let t be a(5). Suppose 100*m - 101*m = t. Solve m = p + 2 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:57 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/30 - 104*f**5\/5 + 314*f**4\/3 + 510*f**2 + 3. Find a, given that o(a) = 0.\nAnswer: -314, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17103.\nAnswer: 3, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + k + 1 = 0, 2*r + 7 = -23*k + 22*k. Let b = -112 - -111. Let c(a) = a + 1 + 3*a - 3*a. Let o(y) = y. Give b*o(t) + r*c(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-25)*(-5)\/1. Let q = 5 + u. Let o be 3\/(1*q\/4). What is the highest common divisor of o and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 325*y = 31*y + 5850 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 87 = 3*m, 0 = w + 5*m - 0*m + 29. Let z = 18 + w. Let k = 6 + z. Sort -3, k, 4 in increasing order.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + u - 6*u = -2, 2*y - 5*u = 18. Let b be 54\/y*(-2)\/3*-4. What is m in b*m**2 - 2*m + 12*m - 31*m**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 45 = 5*z, 3*m + 3*z - 9 - 21 = 0. Let k(o) = 5*o - 2. Let c(v) = 11*v - 5. Let r(p) = m*k(p) - 2*c(p). Let n(s) = s + 1 - 1. Give n(r(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/((-15)\/315)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/12*(-183)\/58 and 131\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1584)) - -2*-1*sqrt(1584)) + (-5*-4*6*(sqrt(1584)*-2 - sqrt(1584)))**2.\nAnswer: -36*sqrt(11) + 205286398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/5 + 1611*o\/5 - 1587924\/5 = 0.\nAnswer: -1044, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f + 207. Let w(c) = 72*c + 1659. Let l(k) = 33*g(k) - 4*w(k). Let r be l(-21). Solve 2*z - r*n = -4*n + 6, -2*n - 12 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 43*b + 58. Calculate the remainder when x(36) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*p**3*r + 79*p**3*y - p**2*r**4*y + 3*p*y wrt r.\nAnswer: 42*p**3 - 4*p**2*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/283 or 0?\nAnswer: 22\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttthhtthrh. Give prob of sequence ttrt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**2 - 2*v - 8. Let r be g(-1). Suppose 16*b - 994 = r*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g + 10*g + 2 - 2. Let a(f) = 2*f. What is a(j(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 863729.5 litres in millilitres?\nAnswer: 863729500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from ccbsbsiy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21562342 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 22*j - 871 + 201 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z + 97. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*j**3 + 13*j**3 + 187*j**3 + 23*j**3 + 392*j**3 - 12*j**3.\nAnswer: 774*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8822040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/((-2)\/(-2)*4\/4). Let v be (5 - r)\/(-6)*-5. Solve 5*c + 0 - v = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -216, -307, -390, -465?\n\"Answer: 4*p**2 - 111*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 177*n**2 - 123*n - 3030. Determine p(-89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 2, a: 2, q: 1, c: 1}. Give prob of sequence tac.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 292544637 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3891.999575 + -3892. Round z to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4136 = -7233*q + 7280*q. What is the highest common divisor of q and 4213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c + 82. Let z(y) = y**2 + 4*y - 81. What is 4*q(i) + 3*z(i)?\nAnswer: -i**2 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let n(k) be the third derivative of 13*k**5\/5 + 195*k**2. Determine c(n(j)).\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -4*q**3\/3 + 272*q**2 + 548*q - 636. Factor f(a).\nAnswer: -4*(a - 137)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + 3)**2 + 5*sqrt(5)*-4 + 5 + sqrt(80) + 0 + 2.\nAnswer: 61*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxv when three letters picked without replacement from {v: 2, f: 2, x: 1, t: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + ((-55)\/(-3))\/5. Let d = -0.1 + -0.2. Let r = -42.7 - -43. What is the third biggest value in p, d, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 10}. What is prob of sequence rrj?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, 1 q, and 1 o when four letters picked without replacement from rrorrboojoribiiibbq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m\/(m**(-2\/3)*m))\/m)*m)**(-18)\/(m**(2\/19)*m*m**(2\/19)\/m)*((m**(-3)\/m*m)**(-2\/39))**14 assuming m is positive.\nAnswer: m**(-14340\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpj when three letters picked without replacement from bjopoffvvovp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.744 and 0.3417.\nAnswer: -8.4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.5 - 52.2. Let u = -23.25 - t. Round u to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 5*f - 17. Let b(y) = -y**2 - y + 1. Let l(q) = -5*b(q) + s(q). Is l(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 41*o**6\/30 + 31*o**3 - 7*o. Find the second derivative of q(z) wrt z.\nAnswer: 492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9435.048 grams?\nAnswer: 0.009435048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254203*i**5 + 318938*i wrt i.\nAnswer: -5084060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u**2 - 2*u**2. Let r(x) be the second derivative of x**3\/6 - 45*x. Determine r(p(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6854 + -4458. Suppose -7*p = -2*p - 4*s - o, 8 = -2*s. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 greater than or equal to 453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + (-18 + 10 + -60 + 1 - 13).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*c = 1071*c + 300 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390 (base 16) to base 10.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 651 = -4*w + 1017, -3*p = -9. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/(50\/30))\/(243\/(-270)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3580 + -1440. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4315001362.\nAnswer: 2, 7, 308214383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 6, g: 2, m: 4}. Give prob of picking 3 p and 1 b.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-14)\/(-14)). Let m = 28.2 - 23. Let g = m - 1.2. Which is the third smallest value? (a) 8 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110)*-2 + sqrt(110))*2 - sqrt(110))*-2)\/(sqrt(60)\/(2*sqrt(96))).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*w = 223*w + 8, 8 = 2*p + 2*w. Let l(g) be the second derivative of -7*g + 0 + 3\/2*g**p + 4\/3*g**3. Differentiate l(x) with respect to x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000791879 rounded to 6 decimal places?\nAnswer: -0.000792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10484751 is divided by 1187?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(2\/(120\/(-100)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/12 + 5*u**3\/6 + 7*u**2\/2 - 8*u. Calculate t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3037*p + 5*y = 3033*p - 29, p = 3*y + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 2 - 4 + 2*n**2)*((-5*n + n + 2*n)*(4 - 4 - 1) + 0*n - n + 0*n + 354 - 354 + 89*n) to h*n + j*n**3 + y*n**2 + o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 13*c**2 + 12*c + 5. Let p be q(12). Suppose 0 = -p*z - a - a + 1390, -820 = -3*z - 4*a. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 10*x - 3. Let l be w(-10). Let o be l + (22 - 1)\/3. Let n be (o - (-28)\/(-6))*6. Sort n, -2, 2.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -38, 29, 154, 355, 650, 1057?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3*(-18)\/6. Which is the nearest to -1? (a) 0 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11454? (a) 0.3 (b) -1650 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -190364, -380717, -571076, -761441, -951812, -1142189, -1332572?\n\"Answer: -3*q**2 - 190344*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1138109 at most as big as -1138108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 76139768?\nAnswer: 76139768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-105)\/(-6))*1. Let j = 5 + -3. Let n = j - 2. Which is the third smallest value? (a) n (b) s (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-4*v + 3*v - 3*v)*(-3 + 2 + 2)*(6 - 3 + 5).\nAnswer: -96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 12*d**2 - 12*d + 14. Let v be i(11). Let r(k) = 4*k**2 + k**2 - v*k**2 + 3*k + 2 - 3. Is r(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5\/4 - 150*b**4 + 37299*b**3\/4 - 368157*b**2\/2 + 1269489*b - 1874886 = 0?\nAnswer: 2, 13, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 196\/(-156)*9 + 10. Does -2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 6. Let c = 15 - -1. Let z = -10 + c. What are the prime factors of i(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6760754 millennia in centuries?\nAnswer: 6.760754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7325*y - 59060. What is z(-8)?\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 3 - 4*m**2 + 0*m**2 - m. Let n(a) = 2*a**2 + 2*a + 7. Let d = 538 - 531. Give d*x(l) + 3*n(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let w(u) = 6*u**2 - 4*u - 2. Let g(y) = 4*o(y) - w(y). Find the first derivative of g(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -25*r + 30*r + k, r - 83 = -4*k. Solve -8\/3*x**r + 7\/3*x**2 + 1\/3*x**4 + 0 + 0*x = 0 for x.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 40 - 3*u + (-2 - 2 + 3)*(2*u - 3*u - u) in the form w + r*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 - 12*g - 5 - 7*g. Let d be r(-5). Let t be ((-8)\/6)\/(6\/(-45)). What is the highest common divisor of d and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)\/(b\/b**(-6)) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - -7 - (-32 + 11 + 22)) + 49.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110011 - -1110000101111?\nAnswer: 10110100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63, -77, -117, -195, -323, -513, -777?\n\"Answer: -2*s**3 - s**2 + 3*s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + q - 7 = 0, -2*q + 5 = -5*k + 54. Suppose -30 = -6*p - k*p. Which is smaller: p or 41?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let k be 2\/10*(m + -4). Which is the second biggest value? (a) 2\/7 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15799 and 350686?\nAnswer: 21391846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - (-170404)\/12. Suppose 3*x - 4003 = b + 6656, 0 = -4*x + 5*b + v. Suppose -k + 6*i + 1777 = 2*i, 0 = 2*k + 2*i - x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 0, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -13. Let p = -92 - -458\/5. Let c = 6.9 + -6.4. Sort z, c, p in increasing order.\nAnswer: z, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21172\/6 - 24\/468*13?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63 (b) -2\/7 (c) 2\/823\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*1\/2 - -48. Suppose 3*i + 2*i - q = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 22. What are the prime factors of 3\/6 - (-602)\/k?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 3*o + o + (0*o + 3*o - 2*o)*(5 + 0 - 4) as m + l*o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106944 or -106933?\nAnswer: -106944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1211 - 251203?\nAnswer: -245552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.04 (b) 0 (c) 0.23 (d) -8 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/7)*y*y**30)**(-18))**(26\/3) assuming y is positive.\nAnswer: y**(-36348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40313043 (base 5) to base 9\nAnswer: 541835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.1. Let t = 0.1 + 0. What is the smallest value in 5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 4*v**2 + 0*v**2 + (0*v + 8*v - 1 - 2*v)*(41*v - 14*v - 18*v).\nAnswer: 56*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218169 by 3.\nAnswer: 72723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926983209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Suppose 0 = -z - 3*f + 16, -4*f = 3*z + z - 32. Let w = 1 + -1. Which is the closest to w? (a) i (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4449276 and 32292?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 494\/95 + (-1)\/5. Suppose -5*d - 81 - 24 = -5*l, l - n = 0. Is 206\/(-3)*120\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1616 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) -2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/1859 and 29\/11?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1023\/258)*(-4)\/3. Sort c, -4, 2\/9.\nAnswer: -4, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 0*t)*(-30*t - 5*t - 7*t).\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 82.8. Let i(w) = w**3 - w**2 + w + 1. Let v be i(0). Let t be 2\/(-6) + v\/2. What is the smallest value in y, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - -1110321230?\nAnswer: 1110322233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -321\/2*i**2 - 9 + 11*i. Let s be z(-9). Round s to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152196 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 15) to base 6.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u - 3. Let w be z(-4). Let n(o) = -o**2 - 10*o - 9. Let j be n(-7). Let t = j + w. Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d + 32. Let g(n) = -1. Let b(o) = 6*g(o) + y(o). What is the derivative of b(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-26)\/(-39)*(-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98129 + 24529 + 24533 + 24533 - 2300*y + 24534.\nAnswer: -2300*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from datpatatadeaa. Give prob of sequence taa.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 418517275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -57. Let q(r) = 10*r**2 - 1. What is q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 86*k + 29. Calculate t(22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 15. Let g(d) = 6*d - 14. Determine -5*g(c) - 4*n(c).\nAnswer: -6*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2*g + 0*g - 3*g) - 23 + 23 + 3*g + (3*g + g - 5*g)*(-4 + 0 + 0) - 2256 - 881*g - 343*g + 2256.\nAnswer: -1216*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 746434220.7 + -746434141.70000086. Let x = -192 + 113. Let b = t + x. Round b to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6839866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 84\/407?\nAnswer: 84\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 9. Let p be j(6). Suppose 0 = -2*o - o + p. Sort 9, o, -5 in increasing order.\nAnswer: -5, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*c**2 - 6*c - 5*c + 11*c to the form v*c + d*c**2 + u and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:27 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 38 = -4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + 6)*(-8)\/12. Suppose 0 = 3*t - 3*f - 66, b*f + 48 = 4*t - 38. Solve 3*j + 4*j + t = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.5 (c) -3 (d) -9 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -g - 8, 3 = -5*j - 2*g - 0*g. Is j less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*v + 173*v = 15*v + 38*v + 9870 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 19732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -443*a**4*b**2 + 52*a**4 + 3*a*b**2 - a*b + 44*b**2 - 30 wrt a.\nAnswer: -5316*a**2*b**2 + 624*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 1931 (c) -3 (d) 5 (e) -56\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62.165 + 0.635. Let v = 20.3 - s. Let w = 42 + v. Which is the biggest value? (a) -23 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = w + 4. Let h = 34 + w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3014 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2866 (b) 0 (c) 238\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x - x)*(-2*x**2 + x**2 + 0*x**2 + (x + 4 - 4)*(-3*x - 3*x + 4*x) - 3 + 3 + x**2 + (18*x - 40 + 40)*(2 - 2 + 2*x)).\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 118, 166, 206, 238, 262?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 11*y + 3. Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 299 = 89. Let a be (2 - (-2 - -10)) + (70 - -3). Let s = k + a. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 4. Let p(n) = -2*n + 2. Let v(u) = -9*p(u) + 4*s(u). Let r be v(4). Solve 0 = -3*t - 3*q + 3 - 12, 2*q = 4*t - r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 5)*(-2)\/(-4) - -27. Suppose 3*u = 4*h + 52, 2*h - w - 16 = -2*u. Solve -3*n = 2*n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9*0\/(2 - -1). Let a(l) be the first derivative of c*l + 4 + 1\/4*l**2 + 1\/12*l**3. Factor a(b).\nAnswer: b*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376844 is divided by 812?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3239, 8346, 16861, 28784, 44115?\nAnswer: 62854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 2*g. Let z(x) = -2*x**2 + 5*x. Let r(o) = -5*u(o) + 2*z(o). Let a(v) = 8*v. Give r(a(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76723581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = -s. Let j(n) = -n**3 + 6*n**2 + 6*n - 1. Calculate j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = o + 3, 3*y - 4 = o. Suppose 3*n = -2*t + 14, o*n = -4*t + 7*t + 5. Calculate the highest common factor of 9 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (3 - 1))*40\/(-640). Is c >= 3415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 212 = 0. Suppose -2*u + t = 5. Find the common denominator of (1\/5)\/(u\/1310) and -71\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000039552 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 58280 = -5*y + 14*a, -y + 4*a = -11637. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -4*(sqrt(96)\/sqrt(3))**2 - (sqrt(32) - sqrt(96)\/sqrt(3))*5) + (sqrt(2) - (3 + -3 + sqrt(2)) - ((sqrt(20)\/sqrt(2))\/sqrt(5))**2).\nAnswer: -130 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2525 + 315?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one quarters of a decade?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*j + 164, 5*n - 7*j = -2*j + 670. Let q = n - -418. List the prime factors of q.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:40 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/12441 - -12433\/49764. Let p(l) = -l**2 - 7*l - 6. Let m be p(-6). Which is the nearest to w? (a) -2 (b) m (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010001 + -101?\nAnswer: -1010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) 3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t + 20. Suppose -47 = -3*v - t*o, v = -o + 12 + 2. What is the remainder when (136\/(-16))\/(2\/(-4)) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*f = -5, 2*f - 2 - 24 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 + 163*v - 163*v + 17*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1834903450 to the nearest one million.\nAnswer: -1835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 83371*v - 83327. Give p(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 111804264.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 32, -3.82, 1.38 in ascending order.\nAnswer: -3.82, 0.3, 1.38, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**3\/4 + 6*y**2 + 21*y\/4 + 3\/2.\nAnswer: 3*(y + 1)**2*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a factor of 854573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2246, -6861, -14534, -25265?\n\"Answer: -1529*c**2 - 28*c - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5835 + 0.0835. Let z = 3 - 3.4. What is the third biggest value in 0.5, z, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 80 = b, -b + 22 = -w - 66. Let h = b - 84. Suppose h = 2*y - 5*t + 2 - 1, -3*y + 5 = -t. Solve 0 = q + q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let v = b + 0. Let n be ((-27)\/(-12) + -2)*v. Put n, 3\/5, 0.4 in descending order.\nAnswer: 3\/5, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/18)\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let s be (-1)\/(-3)*n\/(-8). Let q = -0.03378 - 0.06622. Sort 2, s, q.\nAnswer: s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (4 - -10) - -1 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8. Suppose j*q - 2*q = 6. Which is the nearest to -3? (a) -4 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2959 or 2964?\nAnswer: 2964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 1, v: 1, r: 2, k: 1}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 5*h = -270. Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -19.7. Put 0.05, 0.2, x in increasing order.\nAnswer: 0.05, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 1, -4, 3748?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 0. Suppose z = w + 9 - 174. Calculate the greatest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3205*k - 45586*k + 5*k**3 - 15861*k.\nAnswer: 5*k**3 - 58242*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55132795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1381\/6980 - -3\/1396. Factor 0 + y*q**3 - 1\/5*q**2 + 0*q.\nAnswer: q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from {b: 1, l: 4, z: 1, u: 1, o: 5}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5\/2 - 54*f**4 + 789*f**3\/2 + 450*f**2 = 0 for f.\nAnswer: -1, 0, 12, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**3\/3 + 67*b + 71726. Let i(f) be the third derivative of -f**5\/30 - f**2. What is a(i(y))?\nAnswer: 8*y**4 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose -2*s + 3*q + 71 = 0, f*s = 3*q - 2*q + 81. Suppose 2*o = s - 3. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcczpsz. What is prob of picking 1 c, 1 z, and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -3548?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9401?\nAnswer: 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - s**2 - s**2 + (-21*s + s - 8*s)*(-473 - 40*s + 473).\nAnswer: 1122*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1142*f + 2 - 1115*f.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhv when three letters picked without replacement from huvu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -11, -2, 9, 22?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11892 by 3.\nAnswer: -3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181070?\nAnswer: 2, 5, 19, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 2*m + m - 3. Let j = 4 + -2. Calculate x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 11*k**2 + 32*k - 28.\nAnswer: (k - 7)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.47384029273 and 0.693?\nAnswer: 0.21915970727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2969, 5933, 8897, 11861?\nAnswer: 14825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36305, -290642, -980977, -2325308, -4541633, -7847950?\nAnswer: -12462257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-18)\/(-8))\/3)\/(-3). Let r(h) = -7*h - 74. Let t be r(-11). Let u = -9\/2 + t. Which is the nearest to -0.1? (a) p (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6854236 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(-9435)*-37*1\/(1\/51)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263826231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/43495650 and 13\/4999500.\nAnswer: 434956500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (3\/(-1) - (-9 - -6)). Let o be t - (-2 + -2)\/(-1). Suppose 0 = 2*r + o*r - 98. What is the remainder when 41 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3297*o - 315584 = 2325*o + 229750 for o.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001212221 (base 3) in base 8?\nAnswer: 302716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.66 - 0.06. Let f = b + -2.25. Put -3\/4, 1, f, -3 in ascending order.\nAnswer: -3, -3\/4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2. Let q(z) = -3432*z + 2. Calculate q(s(f)).\nAnswer: -13728*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7755.33103 rounded to the nearest 10?\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 124, 246, 368, 490, 612, 734?\n\"Answer: 122*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22390973 and 1538.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15836 and 3424.\nAnswer: 126688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 58. Suppose 4*z = 2*y + 90, -100 - 44 = 4*y + z. Let j = y + d. Solve -4*m + 16 = -j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let x be l(6). Suppose 26 = 4*q + x. Let y(u) = 1 - 5*u**2 - q*u - 3*u**3 + 3*u**2 + 2*u**3 + 7*u**2. Calculate y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-123)\/12300)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 10*o - 9. Let i(d) = -d**2 - 14*d + 41. Let c be i(-17). Give s(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.9*0.094\nAnswer: 5.7246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-171)\/((-6)\/(-24)*3\/(-12)) and 24.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1328 - -4948. List the prime factors of i.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1644\/6311 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**5\/20 - y**4\/2 + y**3 - y**2\/2 + y - 2. Let x(f) be the first derivative of v(f). Suppose 13 + 12 = 5*o. What is x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270827985.\nAnswer: 3, 5, 18055199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 180*w**2 + 121*w - 1921. Is f(16) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35150000 = -5*g + 15*g. Let x be (g\/(-19))\/(2\/(-440)). What is x rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 1. Let d(q) = 17*q**2 - 2. Give -d(r) - 4*j(r).\nAnswer: -13*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/5)\/t*t))**(-20) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 175 = d + 6*c, 4*c + 163 = d. Let w(n) = n**2 - 7*n + 27. What is the remainder when d is divided by w(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -1*-2*sqrt(119) - sqrt(119))\/(sqrt(567)*3).\nAnswer: -2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177575.1 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 79289840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8b55 - -5?\nAnswer: -8b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 113. Give p(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79060.47 millilitres to litres.\nAnswer: 79.06047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 - 10 = 0. Suppose -61 = -q + 4*k + 247, k = 1. What are the prime factors of (o\/(-4))\/((-3)\/(0 - q))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062 and 590?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*v + 174*v = 45 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -19\/3 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -94b7d?\nAnswer: -94b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5\/3, -4\/5, -0.5, 0.5 in ascending order.\nAnswer: -2, -5\/3, -4\/5, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65319.5 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3720 = 15117*k - 14745*k. Let j(a) be the first derivative of a**4\/4 - 11*a**3\/3 + 7*a**2 - 13*a + 1. Determine j(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 39333739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 0*n + 27*n + 12*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 4, r: 2}. Give prob of sequence og.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 4*k + 59. Suppose 8*w - 5*w + 90 = 0. Let t = w - k. Is 7 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39236809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(152) - (sqrt(152) + (-6*2*sqrt(152) + sqrt(152) - sqrt(152)))) + sqrt(152) - 6*2*sqrt(152))\/(sqrt(88)\/(sqrt(11) + sqrt(1584) + sqrt(1584)*2)).\nAnswer: 185*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138098688?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 313340124 (base 5) to base 10\nAnswer: 1308789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orvrrtk. What is prob of picking 1 v and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 391890a - 26?\nAnswer: 3918894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28 and 0.00422554.\nAnswer: -27.99577446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149495 is divided by 127.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14912083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:12 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6) - 2\/(-3). Let g(p) = 4*p**j + 9 - 7 - 2. Let b(r) = 2*r. Determine b(g(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.999732 - -4. What is h rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 - 2.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 greater than or equal to 1579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.06, 0.05, 1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 3*b**5\/20 + 7*b**4\/12 - b**3 - 13*b**2\/2 - b. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -506562 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 7. Let r be o(-7). Suppose -5*s - d + 14 = 0, 2*s - 8 = 2*d - r*d. Let c be (-2 - -4)\/(2\/s). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 11. Let p = 13.8 - 2.8. Let w = -10 + p. Which is the closest to w? (a) 2 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Which is the closest to i? (a) -5\/3 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32618 - -96927. Suppose 4*a = -g + 1729. Let r = a + 31645. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1903, -4, 1, 3, 0 in increasing order.\nAnswer: -1903, -4, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 22 = -6*v + 20*v + 6*w, -2*w = 5*v - 32 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 c when four letters picked without replacement from {v: 2, c: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8c404 (base 13) to base 16\nAnswer: 3e62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 - u - 3. Let v(t) = t**2 - 9. Let x = -7 - -7. Let a be v(x). Let f(q) = -q**2 - 10*q - 13. Let n be f(a). What is w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-28)\/26 - 266\/(-1274). Which is bigger: u or -33\/85?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in 1, 0.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/37199382 and 113\/1416.\nAnswer: 148797528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -411003 and -411003 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5087.57472 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1518057829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-39) - -1*1. What is the closest to 2\/7 in v, 3\/14, -5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17593 + 10*m + 12261 - 2*m.\nAnswer: 8*m - 5332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 s when four letters picked without replacement from {p: 2, x: 8, s: 3, z: 6}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/24 - k**5\/30 - k**4\/12 - k**3\/6 - k**2. Let d be (3 - 2) + -5 - -3. Give m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 149804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30.56*4\nAnswer: 122.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104 or 3?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(343) + (2 + sqrt(847))**2 + 3.\nAnswer: 37*sqrt(7) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3\/5))\/r)**(-1\/2)*r*r*r**(2\/33)*((r*r**(1\/6))\/r*r)\/r assuming r is positive.\nAnswer: r**(106\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 2*u - 4. Give k(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 15*x + 7. Suppose 0*a + 2*a + 24 = 0. Let d be (1*a)\/(-1 - -2). Is m(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3928 divided by -309?\nAnswer: 3928\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**3 - 218*y**2 - 62*y + 362. Determine s(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2394980*o**2*x**3 - 805*o**2 + o*x**3 + 96*o*x - 23 wrt x.\nAnswer: -14369880*o**2*x + 6*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0 = -32. Let u = -8 - h. Let x = -2 - -5. Solve 4*j + 4 = -x*g, -1 = -u*j + j + 3*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.5. Let o = 1 - -6. Let v be 8\/14 - 2\/o. What is the nearest to v in 0, 3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s**2. Let g(u) = u**2. Determine -b(n) - 12*g(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 200358.\nAnswer: 200358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z - 136 - 37 = 139 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -3*k - 190. Solve -2*y = -5*a - k, -21 = 5*y - 7*y + 3*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1919204 or 1919209?\nAnswer: 1919209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2414*l - 19566. Give a(-8).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**2 - 2*n + 4*n - 6*n**5 - 2*n wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*i + 4 = 9, 3*i + 15 = 5*x. Let z(p) = p - 8. Let u be z(9). What is the units digit of u + 2*(-2 + x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and 56032826.4?\nAnswer: 56032845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)\/(-1 - 1). Let z = -14404\/5 - -2843. Let p = z + 75\/2. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 47 + 61 = 2*q, 5*q - 3*l = 302. Let b = 391 - q. Suppose -4*z - 49 = -b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 6*j - 3. Let v be (-5)\/(-5)*-3*1. Let g(q) = 10*q**3 - 30*q + 14. Let x(u) = v*g(u) - 14*o(u). Find the second derivative of x(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 (base 13) in base 15?\nAnswer: -3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35448628 a multiple of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 159. Let q(m) be the second derivative of -5*m**3\/6 + 886*m. Determine b(q(d)).\nAnswer: -10*d - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 49*d**3 + d**2 + 4*d - 2. Suppose 0*k + 13*k = 26. Let h be l(k). Calculate the remainder when h\/8*3\/9*8 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24233103 (base 7) to base 12.\nAnswer: -881910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, -1, -23, -47, -73, -101?\n\"Answer: -s**2 - 17*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 33*i**7\/35 + 13*i**5\/30 + i**3\/6 - 3*i**2 + 86. Find the third derivative of z(s) wrt s.\nAnswer: 4752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 + 170*j**2 - 528*j = 0.\nAnswer: -88, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/6 - 101*t**3\/6 + 2056*t**2 - 3*t - 1479. What is the first derivative of s(q) wrt q?\nAnswer: 4*q - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 64*q + 2050. Let c be j(-32). Solve 3*w + 19 + 4 = -4*p, -p + 3*w - c = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 1600683*n + 62422074.\nAnswer: 3*(n + 39)*(n + 533522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -2*w, -w + 2 = 3*n - 2. Is n less than or equal to -1\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c5e (base 15) in base 13?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**18*y*y)\/y)\/y)\/y)**(-21)*y**(10\/9)\/(y*y**(-9)) assuming y is positive.\nAnswer: y**(-3131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 144153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 52*b + 452. Determine d(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -463 - 381. Let m = t - 126. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/5 - 8334*s\/5 - 1566608 = 0. Calculate s.\nAnswer: -2735, -1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2723 = 2148*g - 15085 - 16376 - 5630 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2682494 and 19\/1524?\nAnswer: 16094964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*q = 355*q - 272*q + 5544 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) 257 (c) 2\/591 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17719*g + 18 = 17716*g, -3*g = -3*r + 30. Suppose -3\/4*i**2 + 3\/4*i**r + 27\/4 - 27\/4*i = 0. What is i?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -53 + 61. Solve -4*t = -n - t - s, 2*t - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-100)*(-50)\/60. Let w(g) be the third derivative of p*g**6 - 1\/24*g**4 + g**2 + 0 + 0*g**3 + 0*g + 0*g**5. Find the second derivative of w(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*6\/(-12) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -129, -419, -981, -1905, -3281, -5199?\n\"Answer: -15*g**3 - g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 39255.\nAnswer: 46\/39255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1318*s**6\/5 - 2219*s**2 - 832*s + 1. What is the derivative of l(p) wrt p?\nAnswer: -31632*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - s. Suppose 0 = -5*v - 3*u + 10999988, 4*v = s*u + 5328328 + 3471684. What is v rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*f - 2*a - 1258, 4*f - 2514 = 3*a. Suppose -4*w + w = -f. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**3 + 12*x**2 + 7*x - 5. Let f(c) = 5*c**3 - 6*c**2 - 3*c + 2. Let p(h) = -7*f(h) - 4*u(h). List the prime factors of p(10).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -10. Let c = h + -14. Let j(g) = -3*g - 14. Let d(m) = -2*m - 8. Let l(n) = 5*d(n) - 3*j(n). What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-36)*8)\/((-104)\/(-78)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1700) - sqrt(1700)) + 0.\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(34)\/sqrt(2) + sqrt(68)\/sqrt(4) + 2 + (sqrt(17) + -1)*6 + ((sqrt(170)*-1 - sqrt(170))\/sqrt(10))**2.\nAnswer: 9*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0 + 0*j**3 + 0*j**4 + 0*j - 19\/60*j**5 - 8*j**2. Let h(a) = 2*a**2. What is h(b(t))?\nAnswer: 722*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -5 (c) -23 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 m when four letters picked without replacement from ppppppvlvvpvpmlvlp?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 7. Calculate the remainder when j(-3) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(3 - 2)*-1. Let r be (2\/2)\/l + 4. Suppose -u + r = -1. What is the least common multiple of u and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + 134. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -342.9 + 342.4. Let h = -14 - -13.98. What is the closest to 1\/3 in -0.3, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + (-123)\/1353*1089?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 54 - 5*j**2 - 36*j + 121.\nAnswer: -5*j**2 - 36*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7367625?\nAnswer: 3, 5, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:24 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2111*p**4\/4 + 8633*p**3\/6 + 398*p. Find the second derivative of m(c) wrt c.\nAnswer: 12666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 1. Let b be z(-1). Let c(q) = -q**2 + 13*q + 122. Let o be c(19). Solve -4*v = -t - 13, t - o = 5*t - b*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7301.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61742.58 - -4071.\nAnswer: 65813.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 40 = -3*w + 55*g, 24*g = -3*w + 14*g + 265 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 298, 469, 662, 883, 1138?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - h + (26 - 3 + 10)*(5*h + h + 7*h))*(5 + 0 - 3).\nAnswer: 854*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 3976*k - 3972 = 0. What is k?\nAnswer: 1, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 2. Let b(y) = -16*y + 1. Let q be b(1). Let t(m) = -2*m + 18. Let l(i) = 5*i - 52. Let g(r) = 3*l(r) + 8*t(r). Let n be g(q). Give z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 5*y + 6410, -5*y - 8015 = -5*l. What are the prime factors of l?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let c(p) be the second derivative of p**3\/3 - 14*p**2 + p - 4. Let w be c(12). Let o(z) = -24*z. Give w*o(b) - 33*g(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -4*k**5\/5 - 16*k**4 - 284*k**3\/3 - 112*k**2 + 576*k - 441. Suppose f(b) = 0. What is b?\nAnswer: -9, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -1139 - 24747. Suppose 0 = -11*n + 98 + q. What is the greatest common divisor of n and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19009 + -6632. List the prime factors of n.\nAnswer: 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/6 + n**2\/2 - 3*n - 4. Let t(s) be the first derivative of m(s). Find the first derivative of t(o) wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:32 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d + 2900 = 2210. What is the least common multiple of d and 116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 80 + 51630?\nAnswer: 51710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377140 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2695 and 2365.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*b = -316*b + 3*w + 587, b = -2*w + 12 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p**2 - 67*p**2 - 83 + 32*p - 81 + 164.\nAnswer: 11*p**2 + 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*a + 6 + 2 - 12*a - 15)*(19 + 17 - 10) to the form t*a + g and give g.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/8380 and -59\/14665.\nAnswer: 58660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {g: 3, v: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(1100))**2*-2 + 5 - 3*(1 + (sqrt(55)\/(sqrt(20)\/sqrt(4)))**2 + sqrt(88)\/sqrt(2)).\nAnswer: -8830 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1059\/116, 2, 34, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 40*b = 56 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -476*g**5 - 112*g + 427*g**5 - 138*g**2 - 46*g**2 + 80*g**3 + 119*g**4 - 16 = 0?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7)*(-1 - -2). Let o = -12076 + 12079. Which is the biggest value? (a) o (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 413, 417, 419, 419?\n\"Answer: -b**2 + 7*b + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 8*l**2 - 10*l + 28. Determine k(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9*x = -36. Let j(z) = 4*z - 13. Let w be j(x). Suppose 0 = 5*m + l - 838, m + l = -w*m + 670. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318236 is divided by 579417.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + sqrt(112))*-6 - (2 + (-4*1*sqrt(112) - sqrt(112)))) + -2)**2.\nAnswer: -9520*sqrt(7) + 138356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n - 4. Give g(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -148. Let r = 74 + b. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 579 - 395. Let m = j - 77. What is the remainder when m is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 5. Let w(q) = -10*q + 12. Let s(c) = -12*a(c) + 5*w(c). Let f(r) = -3*r**2. Let p(l) = -2*l**2. Let t(y) = -4*f(y) + 5*p(y). What is s(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w + 162*w = 6*c + 82*w + 16, 3*c + 3 = -4*w - 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**2 - v + 10. Let w(o) = 5*o**2 - o + 5. Let i(h) = 2*q(h) - 5*w(h). Let m(g) = -4*g**2 + 2*g - 4. Determine -5*i(a) + 6*m(a).\nAnswer: a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2*t**3*u + i**2*t*u + i**2*t - 109*i**2*u wrt t.\nAnswer: 3*i**2*t**2*u + i**2*u + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*7)\/(-22*((-33)\/3)\/121).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 + 3067*d**2 + 835 - 3065*d**2 - 424.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -18447?\nAnswer: -18447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26662 - -43675. Calculate the highest common factor of 107 and v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 1. Let w(h) = 16*h**2 - h - 6. Let q(v) = 11*l(v) + 2*w(v). Factor q(o).\nAnswer: -(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(-5)\/25*5. Let r(j) = -j**3 - j**2 + 9*j - 10. Does 7 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-14)\/(-4)) - -3. Suppose -13 = o*q - 53. Solve -3*i + q + 7 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825767 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: What comes next: 70485, 70565, 70645, 70725?\nAnswer: 70805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 304347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*k + 4*p, -4*k = -k - 3*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4+7.34\nAnswer: 11.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2290092 divided by -107\nAnswer: -2290092\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z + 16. Let s be x(-7). Let q(b) = 73*b - 42*b + 2 - s*b + 3. Let a(w) = 20*w - 8. Calculate 5*a(m) + 8*q(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/7)\/((-4)\/(-14)). Is d - (-382)\/1 - -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388 is divided by 488?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -4) + (-34)\/(-16). Suppose 3 = 2*z + 55. Let f = z - -53\/2. Sort 1\/3, -3\/2, u, f in ascending order.\nAnswer: -3\/2, u, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 - 5*h**2 + 17*h - 5. What are the prime factors of r(5)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(272)*-4 - sqrt(272))**2.\nAnswer: -13600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1012344 and 2064.\nAnswer: 87061584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*c + 18, -c - h = -0*c + 2. Let j(i) = -2*i**3 - 3*i - 102. Let n be j(0). Let g = 104 + n. What is the closest to 1 in g, -4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3 - 13. Let g be (12 + 3)*1\/f. Factor -2\/7*u**2 - 2\/7*u**g + 0 + 0*u.\nAnswer: -2*u**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 6 = -z, -2*z + 4*a + 32 = 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Suppose -2*q = -8, -5*q = 5*d - 1 - 4. Let h be j(d). Let k(l) = 2*l**h - 3*l**2 - l**2. Let n(x) = x. Calculate n(k(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -44*k + 1. Let i(w) = w + 51 + 45 - 96. What is i(r(y))?\nAnswer: -44*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/50)\/(6 + -5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39802183 divided by 2\nAnswer: -39802183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = 452. Let p = 66 - s. Let b = p + 88. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2\/61, 4017\/22 in increasing order.\nAnswer: -2\/61, 3, 5, 4017\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/128784 and 11\/972?\nAnswer: 10431504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 + 273. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 4*g**2 - 3*g + 1. Let h be 0 + (-2 - -1)*2. Let u(k) = -3*k**3 - 4*k**2 - 3*k + 1. Let t(v) = h*y(v) + 3*u(v). Calculate t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 bigger than 563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1426.1 - 1426. Which is the smallest value? (a) 0.09 (b) f (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/115? (a) 0.81 (b) -2\/3 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o = 13*o - 29*o + 1178478. Is 100 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 + s - 7. Let p be w(5). Let i = 115 + p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(24) + sqrt(864) + 5*sqrt(864))\/sqrt(12)*4 + 3 + sqrt(2)*-3 + (-3*(4 + sqrt(2)))**2.\nAnswer: 165 + 221*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/7, 2, 4, 0.4, -174 in decreasing order.\nAnswer: 4, 2, 0.4, 1\/7, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 5*s**3\/3 + s**2 - 14*s. Calculate t(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i = -92*i - 5*t + 55, -5*i - 65 = 3*t for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/2 (b) 0.43 (c) -53\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from {q: 1, w: 2, l: 7, x: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -804.1 - 7003.9. Let w = u - -7862.47. Let m = w + -54. What is m rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 351. Let m be 2 - x - 0\/7. What is the highest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*f = -10, 4*s + 0 = 3*f + 2. Suppose -3*o + 3 = 4*p - 1, p = 2*o + 1. Sort 0, p, s in increasing order.\nAnswer: 0, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2057) + 4 + sqrt(2057)) - sqrt(2057))**2 - (sqrt(2057)*-1 - sqrt(2057) - sqrt(2057))*-3.\nAnswer: 4741*sqrt(17) + 249297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - 4.55. Let r = -3.642 - 0.058. Let p = r - x. What is the second smallest value in -2\/5, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/3 + 46*v**2\/3 = 0.\nAnswer: 0, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -12263267.4 to the nearest ten thousand.\nAnswer: -12260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {y: 2, d: 3, i: 2, m: 4, a: 3, g: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7091 - 0.2909. Which is the nearest to -14? (a) 2 (b) 4 (c) h (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -249404.\nAnswer: -249403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/3*(-12)\/8. Let b(a) = 6*a - 36. Let r(m) = -m + 6. Let h(x) = b(x) + 5*r(x). Let d(c) = -1. Calculate f*d(z) + 2*h(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 o when three letters picked without replacement from ozooooooz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/30 and 17\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2))\/(15\/3480) + -2. Suppose 2*l - 608 = -m, -z = -l - 5*m - 176. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a0 (base 12) in base 10?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 24 in descending order.\nAnswer: 24, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 1529, 2312, 3095, 3878?\nAnswer: 4661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7995\/2 - ((-189)\/(-6))\/(-21).\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889.318 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 3*a**4 + 2*a**5 + 4 - 4 + 4*a**5 + (-a**3 - 2*a**3 + 0*a**3)*(-a**2 + 2*a**2 + 0*a**2) + 11*a**5 + 88 - 88.\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -327*r**3 + 3*r**2 + 107*r - 3. Let j(g) = -328*g**3 + 4*g**2 + 109*g - 4. Let u(a) = 4*c(a) - 3*j(a). Find the second derivative of u(x) wrt x.\nAnswer: -1944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*u - 10 = 0, 283*u - 281*u - 22 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose -2*o - 2*o = z. Let y(p) = -p**2 - p - 6. Let l be y(o). Let v(m) = -2*m**2 - 7. Let f(w) = w**2 + 4. Give l*v(c) - 10*f(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1832 = -36*s + 716. Sort 0.2, s, -0.05 in decreasing order.\nAnswer: 0.2, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 214484*o\/5 - 214482\/5.\nAnswer: -2*(o - 107241)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.06 (b) -2 (c) -2\/7 (d) 1 (e) -2\/81 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1669.97397 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010694323132 to five dps.\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 7*i + 29. Determine u(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 190452 (base 11) to base 16\nAnswer: 479f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*u - 99*u - 1 - 124*u - 1 - 170*u in the form h + i*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in 1\/3, -0.3, -276, -3\/4, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 4 = -3*a - 3, 3*a + 13 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3259831 and -67.8448.\nAnswer: -67.5188169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 19 - 19 - 38 - x**3. Let h(u) = 12*u**2. What is h(p(a))?\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, f: 7}. Give prob of picking 4 f.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44702 and 179614.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321306480 divided by 1320.\nAnswer: -243414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 4, -5 in increasing order.\nAnswer: -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 22222.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = 5*k - 140, 0 = -5*m - 25. Suppose 2*i = i + k. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(2 - 0). Suppose -3*c + q*a = 0, -4*c = c - 3*a - 8. Solve -2*z = 5*h - 4 - 26, -4*z = c*h - 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 2678*m**2 - 6*m - 2*m - 8*m - 2 + 13*m to t + j*m**2 + l*m and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 80718?\nAnswer: -80719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12027532, 24055069, 36082608, 48110149, 60137692, 72165237?\nAnswer: 84192784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 79 + 0 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-7) - 0\/((-4)\/2). Suppose b = -2*v - 3*v. Solve 4*t + t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.62268*-0.2844\nAnswer: -0.177090192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*o**2 + 8*o**2 - 6*o**2.\nAnswer: -65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20754*u**2 - 10278*u**2 - 10484*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 greater than -369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142806\/10 - (22\/275)\/((-4)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/(-91))\/((-4)\/(-76)))\/((-2)\/14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 18*j**2 + 18*j + 19. Let c be w(19). Suppose 0 = x + 4*x - 2*l + 5, c = x + 3*l + 18. Put x, 3\/4, 5, -1\/6 in decreasing order.\nAnswer: 5, 3\/4, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 54*b - 285. Let v(s) = s**2 + s - 2. Let o(k) = 2*v(k) - y(k). Let u be o(46). Let f = 1 - -3. Solve r - u + f = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233507644 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 0, 1291.\nAnswer: -6, 0, 5, 1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1230, 1366, 1598, 1926, 2350, 2870?\nAnswer: 3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.01 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 68*j - 11. Let t(f) = -f - 1. Let s(n) = 2*b(n) - 22*t(n). Let x(r) = -4*r. Determine s(x(i)).\nAnswer: -632*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.012 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -9, 2 in decreasing order.\nAnswer: 5, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 15*w**4\/2 - w**2\/2 - w - 75. What is the second derivative of k(t) wrt t?\nAnswer: 180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**0)\/(x**(8\/5))**(-3\/49) assuming x is positive.\nAnswer: x**(-2181\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849837007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**3 + 3*a**2*n + 1536*a*n - 167279*n wrt a.\nAnswer: -9*a**2 + 6*a*n + 1536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 709 = 4*k, 12*k + 3*b = 9*k + 534. Which is smaller: k or 178?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2505, -4966, -7417, -9864, -12313, -14770, -17241, -19732?\n\"Answer: -f**3 + 11*f**2 - 2487*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**5\/70 + m**4\/21 + 7*m. Solve o(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*m - 4*j, 3*j = -4*m - 5 - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65719550 divided by -1011070.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 1)*(-1 + 19*o**3 + 1) + 0*o**3 - 2*o**3 + 3*o**3.\nAnswer: 248*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005518 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 17*r**2 + 29*r - 2. Determine q(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787091629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 9*o - 8. Calculate a(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1022 and 23652.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 628\/(-2)*-7*(-8)\/(-840). Let d = -61\/3 + u. Factor 0 - d*p**2 + 3\/5*p.\nAnswer: -3*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/(-63) + 621\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -198*h**3 + 94542*h**2 - 13173232*h + 429835480 = 0. What is h?\nAnswer: 515\/11, 646\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:11 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 14*l + 10. Let v be t(15). Let n(q) = 4*q + 1. Let y be (-2)\/(-2 - 0\/(-2)). Let r be n(y). Solve -r*w + v = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 13*n**2 + 14*n. Suppose 5*x + 39 + 2 = -4*b, 5*b + 73 = x. Calculate w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*z - 14*z - 406*z.\nAnswer: -652*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let g(j) be the first derivative of 0*j + 5\/2*j**2 + 1\/12*j**4 + 0*j**3 - 4. Let u(z) be the second derivative of g(z). Give c(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -436. Let m(n) = 344 - r + 0*n - 2*n. Let x(l) = 12*l. What is x(m(c))?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 - 191071387*l**3 - 8*l - 552097.\nAnswer: 40*l**3 - 1146428322*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1394 and 9963.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -13*h + 17*h. Let o = -226 - h. Let j = o + 145. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from zdwhotod.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**3\/3 + 17*y**2 - 29*y. Let l be a(-10). Let g be 1000\/70 - 4\/l. What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -7, -12, 4, -3 in ascending order.\nAnswer: -12, -10, -7, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34189087003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 + 0)) + 2 + 10 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = 4*g + 5*u - 390, -2*u - 16 = 8*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p**3 + 2*p**2 + 2*p**2 - 20*p**2 + p - p**3 wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -295752*q + 1774514. Let h be f(6). Let p = -35 - -73\/2. What is x in -3\/4*x**4 + 9\/4 - p*x**h - 3*x + 3*x**3 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/(-9) - (-84)\/(-14). Does g = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*o = 10*o - 987423. Do -7002 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 290638*a + 290633*a = 27, 3*o + 21 = 5*a for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1329*d - 9300. Let n be c(7). Let g(x) = -2*x**2 + 4*x + 5. Let v(y) = -y**2 + y - 1. What is n*v(a) - g(a)?\nAnswer: -a**2 - a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kllqq. Give prob of sequence qkl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 24, 20, 16, 12?\n\"Answer: -4*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1938, 3878, 5796, 7686, 9542, 11358, 13128?\nAnswer: 14846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -57. Let i be (27\/(-5) + 5)\/(1\/f). Suppose i = 3*o - 2. Solve -31 = -3*y + 4*z, o = 5*y + 3*z - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26939 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - s + 2. Let r(q) = -q**3 + 10*q**2 - 8*q - 9. Let j be r(9). Suppose -2*u + p - 3 = -j, 0 = -5*u + p. Suppose -3 - u = -2*d. What is y(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18560.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4408916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 - 0\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 1.1 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53403?\nAnswer: 3, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/19 - 28914*i\/19 - 637076\/19 = 0. What is i?\nAnswer: -22, 14479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -277*o**6\/15 - 147*o**3\/2 + 2*o - 52. What is the second derivative of c(k) wrt k?\nAnswer: -6648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:29 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 14 = 7*p. Suppose -192 = -2*w - p*w. Let u = 32 + w. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 - c**3 + 2*c**3)*(-3*c + c - 2*c)*(887 + 1039 + 544) to f*c + b*c**3 + z*c**4 + x + u*c**2 and give z.\nAnswer: 9880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8703344 - 0?\nAnswer: 8703344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 44*l**2 + 101*l - 886. Determine v(-47).\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 2 - 2)*(-5*i + 3*i - 4*i) + 0*i**2 + 3*i**2 - 2*i**2 in the form b*i**2 + z*i + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/27684548 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 103, 176, 289, 448?\n\"Answer: k**3 + 11*k**2 - k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 3. Suppose 1 = -r - 5*h - g, h + 4 = -5*r. Which is the biggest value? (a) -0.8 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 36?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-15)\/2)\/5. Suppose -22 = -5*l + a. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.538460266 rounded to 2 decimal places?\nAnswer: 4.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 25. Let l be t(22). Suppose -l*m + 50 = 2*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxxq when four letters picked without replacement from {v: 2, e: 5, x: 2, g: 2, q: 2}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 - 6*r**2 + 6*r**2)*(6 + 0 - 1).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*t - 53916 + 17*t + 53914 - 553*t**3 wrt t.\nAnswer: -3318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 0 - 2)*(-1 - 1 - 1)*(-530*y + 1139*y - 5615 - 612*y) in the form k + s*y and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6132\/5 + 1222. What is the common denominator of -131\/12 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d + 1. Let z = 70 + -66. Let k(i) = -z + 4*i**2 + 8*i + 6*i - 14*i. What is -k(f) - 2*u(f)?\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43603 + -43603.1. Let f = 0 - 3. Which is the nearest to f? (a) 2\/7 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110111111?\nAnswer: -110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:43 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7909.46l in millilitres?\nAnswer: 7909460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(448) + 2*sqrt(448))**2.\nAnswer: 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 129 = -2*t + 3*t, t = n + 137. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444786 is divided by 147970?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101928576 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 277791 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0336913206 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -3, 0, -5, -1.71 in ascending order.\nAnswer: -5, -3, -1.71, 0, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovavaovvqo. What is prob of sequence aa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*l = 3*t + 87*l - 20, 6*l + 18 = 5*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -199, -341, -407, -367, -191, 151, 689?\n\"Answer: 5*v**3 + 8*v**2 - 201*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100 - (138 + -267)) + (1 - -7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnodnnnnnaddnnndnfdn. What is prob of picking 1 n and 1 o?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3727434?\nAnswer: 2, 3, 621239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - 36*q**2 - 62*q. Let s(z) = -z**3 - 2*z**2 - 1. Let b(d) = -a(d) - s(d). Find the second derivative of b(v) wrt v.\nAnswer: -24*v + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*u = 2*u. Suppose -12*n + 13*n - 3 = u. Find h, given that 11*h**2 + 96*h - 595*h**n + 4*h - 6*h**2 - 4 - 16 + 735*h**4 - 225*h**5 = 0.\nAnswer: -2\/5, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 188 + 1118. Calculate the remainder when y is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*f + 11 = 0, 4*k - 2*f = 7*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2 - 3584457*v + 3584454 = 0.\nAnswer: 1, 1194818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095073 to the power of 1\/2, to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-14 + 8\/4). Find the common denominator of y\/120 + (-70)\/(-24) and 33\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -1. Suppose 3*h = -2*u + 40 - 7, 0 = -5*u + 2*h + 54. Suppose f*w + 1795 = u*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:04 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2817 and 121\/9390?\nAnswer: 28170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 38 = 46. Calculate the remainder when 95 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47\/2 or -5\/7924?\nAnswer: -5\/7924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uuddldudlldxd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 - 284262*j**2\/7 + 7104675*j\/7.\nAnswer: 3*j*(j - 94729)*(j - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 - 1 = 3*w, 0 = 2*w - 5*z + 14. Suppose w = 2*p - 7. Let j(o) = o**2 - o - 1. Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a67a2 + -3?\nAnswer: -a67a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 834246802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/9077854 and -59\/439251?\nAnswer: 27233562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 = -43. Let h = -1 + a. Let y(v) = -v**2 - 4*v + 12. Let o be y(h). Solve -z - t + 3 = -4*z, -5*z - t + 3 = o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a*(a*a**(-2\/3)\/a)\/a*a)*a)\/a)\/((((a*a\/a**(-1))\/a*a*a)\/a)\/a*a))**(-47) assuming a is positive.\nAnswer: a**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -194035 plus -191950?\nAnswer: -385985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*k, 6 = 3*k + 3*c - 12. Let a be (-30)\/(-8)*152\/57. Sort k, -4, a in ascending order.\nAnswer: -4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-990) - (-2)\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54620.7 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhob when four letters picked without replacement from {o: 2, b: 1, l: 1, h: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5456? (a) -3.3 (b) -10\/31 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 192 (b) -0.5 (c) -4 (d) -9\/8 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10932048?\nAnswer: 2, 3, 89, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 584.7\nAnswer: -585.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827612 - 1655302 + 827690 - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358494587 is divided by 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:33 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -15.6. Let f = -3 - d. Let h = 9 - 8. What is the third smallest value in 1\/2, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28)*-42 + 5*-1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1464 - -20?\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 - (-2 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + 12c813?\nAnswer: 12c847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*6\/12*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 4*g. Let l be y(-5). Let d(f) = f**2 + 7*f. Give d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-35)\/10 - -3). Is (-324)\/g - (1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39715 in 130, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 82*w**2 + 2320*w - 24318. Calculate p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/3 + 64*v**4\/3 + 62*v**3 - 1036*v**2\/3 + 784*v\/3 = 0.\nAnswer: -28, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.76 + -0.24. Let t = 11 + u. Let f = -5.99999936 - t. What is f rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(5 + -9) - -17)\/2. Solve -t*o + 25 = 43 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*y + 12 = -y, -12 = 4*u + 3*y. Suppose 8*h - 6*h = u. Suppose 5 = l - 2*r, l = -2*l - 4*r + 45. What is the smallest value in h, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 336 = -s, 2*s + 560 = -0*d - 5*d. Does 15 divide (267\/(-4))\/(28\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*x + 2*x**3 + 100*x - 49*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18827, 18828, 18829, 18830, 18831?\n\"Answer: w + 18826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*k**3\/5 + 46*k**2\/5 - 44*k\/5 + 14\/5.\nAnswer: -2*(k - 1)**2*(8*k - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let z be w(-4). Suppose 0*k + z*j = -2*k + 38, -5*k + j = -41. Let y = 17 + 0. What is the remainder when y is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**2\/2 + 9*p - 1. Let t be z(0). Let y(d) = -d - 8 + 0 + t. What is y(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - m + 11 = 0, 2*b + 2*m - 21 + 5 = 0. Suppose x = -3*k - 0*k + 9, -k + b = 2*x. Solve -22 = 5*g + k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1918*a = 941*a + 946*a - 558 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 18\/17 (c) -0.4 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124182, -496564, -1117238, -1986234, -3103582, -4469312?\n\"Answer: -5*m**3 - 124116*m**2 + m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17511 to the nearest 100.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71516926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-684)\/15*(2\/4)\/(-116 + 26634\/230)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1 = -v + 4, 5*v = a - 17. Solve -a*t = -2*d + 4, -5*d - 3*t + t - 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 12:57 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jju when three letters picked without replacement from {c: 1, x: 2, j: 1, s: 1, y: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 29 = 5*i, 19*y - 20*y - 1 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42e (base 15) to base 7\nAnswer: -2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 2. Let j be l(-6). Suppose 5*k - 3 = 7. Suppose 3*v + 9 + 3 = 0. Sort v, j, k in descending order.\nAnswer: j, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4166822 divided by -378802.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*(-4)\/16 - 984696\/(-96) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1104 - -1256. What is the greatest common factor of 40 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**6 + 14*v**3 - 56*v**2?\nAnswer: 360*v**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(4\/3))\/b)\/b**(-5\/7))\/((b**(-13)*b)\/(b\/(((b\/(b**(-2)*b)*b)\/b)\/b))) assuming b is positive.\nAnswer: b**(295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.01*-20.\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -845810 divided by -422905\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20497928 to the nearest integer?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0277 > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2796)\/(-63))\/(-4) - 6*(-7)\/441. Let q(j) = -3*j + 30. Calculate q(o).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 269. Let j = 422 + z. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - 5 - (-3 - (-6 + -2)). Let j be (254\/8)\/(k\/(-16)). Let o = j - 124. Is o != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Let j(n) be the first derivative of 2\/25*n**5 + 0*n**f + 0*n**3 + 0*n**4 - 3 + 1\/15*n**6 + 0*n. Suppose j(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in -13, 73, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {h: 6, b: 10, d: 2}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -17.92?\nAnswer: 24.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176384 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*5 - (-7 - -7). Suppose -4*d + 1440 = s, d - 3*d - q*s = -702. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -93789354.\nAnswer: 2\/46894677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 366*m**4 - 16*m**3 + 62*m - 20. Let c(s) = 916*s**4 - 39*s**3 + 156*s - 50. Let u(l) = -12*b(l) + 5*c(l). Find the second derivative of u(g) wrt g.\nAnswer: 2256*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 48 = 2*x. Let p = x + -5. Solve -2*g = -p*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45530126, 45530127, 45530128?\n\"Answer: z + 45530125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/6)\/((-5)\/(-1650)*-5) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -699*l**5 + 408*l wrt l.\nAnswer: -13980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 26. Let y = z - 14. Suppose j + 5 = y. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -79. What is the greatest common divisor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**4 - 3 + 77*z**2 - 542141*z**3 - 1 + 542142*z**3 in the form f*z**4 + y*z**2 + c + q*z + j*z**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (12 - (13 - -8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(3\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93, -266, -865, -1704, -2783?\n\"Answer: -120*o**2 + o + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/4 + 201*y**4\/4 - 199*y**3\/4 - 201*y**2\/4 + 50*y = 0?\nAnswer: -1, 0, 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165513054 to the nearest integer?\nAnswer: 12865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 117, 349, 777, 1461, 2461, 3837?\nAnswer: 5649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5801.61 - -5805. Which is the biggest value? (a) 3 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*h + 2*n, -4*h = -3*n - 33. Let g be 16\/h*(-3)\/(-2). Let z = 4878 - 4865. Solve -j = g*w - 4*j - z, -3*w = -2*j - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 + -147. Let i = -45 + g. Calculate the remainder when i is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 572*r**3*y - 2*r**3 + y - 309 with respect to r.\nAnswer: 1716*r**2*y - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, -65, -58, -49, -38, -25?\n\"Answer: u**2 + 2*u - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -68*b + 2. Let o be 1\/2*-1*2. Let y be f(o). List the prime factors of (174\/2)\/((-7)\/(y\/(-15))).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**4 - 2*t**3 - t**2 + 2*t - 1. Let x(k) = 9*k**4 + 11*k**3 - 15*k**2 + 5*k + 2. Let d(l) = -6*w(l) - 3*x(l). Factor d(h).\nAnswer: -3*h*(h - 1)**2*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*h + 3686 = 11375 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150200 + 185.\nAnswer: -150015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -27*r - 2. Let s(f) = 16*f - 17. Let x(l) = 47*l - 45. Let g(w) = 8*s(w) - 3*x(w). Determine 5*g(k) - 2*j(k).\nAnswer: -11*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -412.\nAnswer: 412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (0 + sqrt(363))*-6) + 2 + sqrt(363) + 3 + 3)**2.\nAnswer: 1408*sqrt(3) + 23296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 146*h**3 + 2*h**2 - 2*h + 1. Let c be m(1). Suppose -2*u + u + 3*p = 94, 0 = 4*p. Let l = c + u. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 158.\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -58, -1\/7, -13567?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 20*b**2 + 18*b + 51. Let n be h(-19). Suppose -3*g = u - 13 + 3, 0 = -4*u - 2*g + n. Is u bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 43*x + 25. Let v be q(-17). Let n = -157 + v. Suppose 0 = 4*s - 17 - 15. Calculate the greatest common divisor of s and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u - 896. Let r = u - 152. Suppose 0*i + i - r = -5*f, 0 = 5*i - 3*f - 360. What is the highest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 16*m + 22*m = 317160. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.156261 to 0 dps.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*z + 35 = 0, 5*z = 4*d - 229 + 188 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/39 (b) -0.4 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*d + 65758 = 46365 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -j. Let n be 2 + 2 + -2 - j. Let t be 2\/(-2) + 0 + n. Let c(s) = 6*s**3 - 1. Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*h**3 - 2*c**2*h + 2*c**2*w + c*h**3*w - 10*c*h**3 - c*h**2*w + 327*h**3*w + 2*h**2*w + 23657*h**2 - 7*h wrt h?\nAnswer: 6*c**2 + 6*c*w - 60*c + 1962*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**8\/112 - c**4\/24 + 2*c**2 + 4. Let h(w) be the second derivative of a(w). What is the second derivative of h(p) wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (767*d - 329*d + 2571*d)*(7 + 2*d + 1 - 4).\nAnswer: 6018*d**2 + 12036*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/((-6)\/30). What is the nearest to 0.2 in 5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1173 and -95\/32336142.\nAnswer: 743731266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + 3*t + 33, -5*t - 50 = -3*g. Solve -11*i = -16*i + g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) + (-94)\/(-846).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6112, -111, -11, 5 in descending order.\nAnswer: 5, -11, -111, -6112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73352 divided by -1384.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14367 is divided by 2047?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6388 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26*b**3 + 913*b**2 - 269*b - 13092. Give y(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14 = -3*t, 24 = 5*t + 9. Let y(p) = -99*p + 94. Let j(w) = -198*w + 191. Let d(m) = v*y(m) + 2*j(m). Differentiate d(h) with respect to h.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.868044 - 2.87. What is r rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 13*s + 2. Let k(c) = -2*c**2 - 14*c + 1. Let i(w) = -2*k(w) + 3*u(w). Let d be i(11). Let r = d + -4. Solve r - 1 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {q: 3, d: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -800, -1206, -1612, -2018?\nAnswer: -2424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18648*b + 31 - 61 + 30.\nAnswer: -18648*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -14137*t**5\/20 + 4053*t**4\/4 - 8316*t. What is the third derivative of h(p) wrt p?\nAnswer: -84822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**5\/20 - 51*b**4\/16 - b**3\/4 + 51*b**2\/8 - 373. Factor g(h).\nAnswer: 3*h*(h - 17)*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117140 is divided by 227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6370851 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24035543 (base 8) to base 13.\nAnswer: 11213bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 26. Let s(i) = -32*i**2. What is f(s(b))?\nAnswer: 64*b**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/935 and 26\/22865?\nAnswer: 251515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3)**(-48)*(k**(1\/2)\/k)**(-2\/89))**(-45) assuming k is positive.\nAnswer: k**(576675\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*3586.\nAnswer: 89650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -110 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7835, 31311, 70445, 125243, 195711, 281855?\nAnswer: 383681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3435 (base 16) to base 9.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 49 - 51 = -g. Put -4, g, -48 in decreasing order.\nAnswer: g, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let f(u) = -4*u - 1. Let y(l) = -2*f(l) - 6*q(l). Suppose c = 2*v + 26, 5*v - 4*v = -2*c + 57. Suppose -38*x + c*x + 40 = 0. Calculate y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56244736 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 8*d**2 - 20*d + 56. What is the hundreds digit of n(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -533 and -533 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -18. Let p be (i\/(-14))\/(4\/7). Let m = -0.4 - 0. Which is the second biggest value? (a) p (b) m (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/296995470 and 38\/21.\nAnswer: 2078968290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a day in hours?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Let m(j) = -v - j - 576*j**3 - j**2 - 5*j + 0*j**2. Let x be m(-5). What is x rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let i(t) = 5*t**2 + 5*t + 5. Let j(d) = 2*d**2 + 3*d + 3. Let z = 11 - 8. Let b(f) = z*i(f) - 5*j(f). Give b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 e when four letters picked without replacement from {f: 3, y: 2, x: 3, j: 2, o: 3, e: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(147)*2)**2 + sqrt(147))*6 + sqrt(147) + 4.\nAnswer: 49*sqrt(3) + 3527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -105*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1453003558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27206.3913 + -27208. Round i to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -146. Let t(c) = c**3 - 6*c**2 - 7*c + 29. Let u be t(q). Let d = u + 3938. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4771883334?\nAnswer: 2, 3, 1129, 704441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/8*-4)\/(4\/8). Let l = 0.27 - -0.03. What is the closest to 0.1 in l, -0.3, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -532 - -102?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and -262.\nAnswer: 12838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.02336837.\nAnswer: -0.04673674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103042 - -3?\nAnswer: -103034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 59. Is 22 a factor of h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, 19 in ascending order.\nAnswer: -5, -0.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 2. Let b(w) = -56*w**2 + 64*w + 32. Let h(j) = -5*j**2 + 6*j + 3. Let i(v) = 3*b(v) - 32*h(v). Give m(i(q)).\nAnswer: 16*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 + c - 1. Let n be y(4). Let x(p) = p**2 + 12*p - 11. Let q be x(n). Suppose 0 = 4*i - 3*l - 15, 10 = -i - q*i - 2*l. Round i to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 30*w + 3*l = 1413696, -2*w + 2*l + 942452 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t + 11*t + 13*t**3 + 12*t + 10*t.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -12 - (-2 - (-14 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -44. Suppose q*c + 5*c = 435. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111212120 (base 3) to base 2\nAnswer: 10011110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20685 is divided by 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2. Suppose u - 31 = -6. Let l(c) = -u + 6*c**2 + 25 + 6*c**2. What is l(j(a))?\nAnswer: 192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26122549.\nAnswer: 19, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 - i + 5. Let u(b) = 25*b**2 - 5*b + 27. Determine -11*c(n) + 2*u(n).\nAnswer: -5*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1779 + -1776. Which is the nearest to 0.09? (a) -0.3 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3495, -3491, -3475, -3441, -3383, -3295?\nAnswer: -3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 + 144781\nAnswer: 144782.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001100101 - -1000100011?\nAnswer: -1001001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 - 3*z**2)*(4 + 0 - 6)*(-2*z + 0*z + z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 13*o - 14.\nAnswer: (o - 1)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.787029 kilometers to centimeters.\nAnswer: 78702.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 534 - 507. Sort 3, q, -2\/9, -2\/11 in increasing order.\nAnswer: -2\/9, -2\/11, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20324189 >= -20324188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12617120?\nAnswer: 2, 5, 78857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.07 + 17.93. What is the third smallest value in l, 0.4, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/15 + 2*r**5\/15 + 3*r**2. What is the third derivative of a(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -1.528?\nAnswer: -1.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1740\/13 (b) -244 (c) 2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -19, 3 in increasing order.\nAnswer: -19, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m - 39. Let p be (-2)\/(-16) + 4075\/40. Suppose 2*q + 56 = p. Calculate the remainder when q is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(3) - 5*sqrt(27))*-1 - ((sqrt(108)\/sqrt(4))**2 - (5 + sqrt(75))**2)).\nAnswer: 36*sqrt(3) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 - (-31 - -69 - -5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88.23 - -0.77. Let c = -82.1 + v. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:34 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 2*j. Suppose -2*f - 2*k + 8 = -j*k, -4*k = -5*f - 16. Which is the closest to f? (a) 0.13 (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b + 24 = 0. Let y be b\/2 - -3 - 0. Suppose w + 4*w - 295 = y. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*v**6 + 258*v**4 - v**3 - 13*v**2 + 7*v + 27.\nAnswer: -600*v**3 + 6192*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346966 is divided by 675.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 1412*n - 445. Determine u(-141).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 90 = -270. Is (3\/(-2) - -1)\/((-9)\/i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 3351*q**5\/10 - 11757*q**2\/2 + 4842*q. What is the first derivative of p(v) wrt v?\nAnswer: 20106*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**2 - 38*x - 4*x**2 + 38*x - 2 as t + i*x**2 + a*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 247737 equal to 247738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.523865 millilitres in litres?\nAnswer: 0.008523865","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 86536459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -39*i. Suppose -16*y + 12*y + 32 = i. Calculate the least common multiple of y and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/2*(10 - -3) and (-139)\/(-8)*(-4)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 920109\/4, -5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2263892316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83\/2 - 423\/10. Let n = -1739\/12 + 145. Which is the biggest value? (a) y (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 11. Let c = 28 + y. Let g = c + 37. What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 + 2*x - 1. Let g be o(2). Let t be 33*3\/(-5 - -2) - -3. Let n = t - -34. Solve r - n = g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5))**(5\/14)\/(i**(-2\/27)*i*(i\/(i**(-3\/2)\/i)*i)\/i))\/(i**(-2\/9)*i*i**4*i*i)**48 assuming i is positive.\nAnswer: i**(-124703\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 10. Let z(t) = t. Let k(v) = -j(v) - 4*z(v). Let c(q) = -q - 5. Let p(s) = 5*c(s) - 2*k(s). What is the first derivative of p(a) wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1710239 and 50?\nAnswer: 50.1710239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262913*g + 130408*g + 131423*g - 2433 wrt g.\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/322 and 19\/300.\nAnswer: 48300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6715995.1 to the nearest one thousand.\nAnswer: 6716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918313?\nAnswer: 1918313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 9) in base 12?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -740, -763?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-35))\/(4\/150). Suppose 2*s = -0*s + r. Suppose 4*o - 39 = 3*k - 0*k, -3*k - s = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 64*m**3 - 230*m**3 + 4.\nAnswer: -166*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9040224 divided by 1506704?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Suppose -k*o = 4*q + 19, 4*q + 1 + 15 = 0. Let h = 1547 - 1547. Put -4\/5, o, h in decreasing order.\nAnswer: h, -4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113534 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/7 + 4\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Let r be (j - 0)\/(-2 - -3). Find the common denominator of ((-284)\/20*1)\/r and -33\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3335*j - 311664 - 28506 for j.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -5 + sqrt(343)).\nAnswer: -14*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 50643751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 2. Calculate k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 19899*n\/4.\nAnswer: -3*n*(n - 6633)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -276 (b) -2 (c) 4 (d) -5 (e) 6 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1603947*q + 1603947*q - 23067*q**3.\nAnswer: -23067*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + -1*sqrt(1440))\/(1*-1*sqrt(5)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*n + 17 = 0, 0 = -5*c - n + 5*n - 5. Calculate the remainder when 28 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2 + 4 - 1)*(-4*t - 1 + 1).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12111624 and 2306976.\nAnswer: 48446496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((8\/(-144))\/(162\/972))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - 43*k + 14. Let q be o(8). Calculate the lowest common multiple of 98 and 8*(-5)\/q*(-539)\/(-14).\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + (-16 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 - 65 = 5*u + d, -2*u + 66 = 2*d. Suppose 2*w - 90 = -u. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - j)*(-3 + 4 + 0) + 4 - 6 + 10*j + 3.\nAnswer: 12*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -13*y. Suppose -u + y + 10 = -4*d, -2*u + 4 = 0. Let q = 8 + d. Calculate the highest common factor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let s be 1\/(-2)*(-4)\/(-13). Which is the smallest value? (a) x (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 249873, 250381, 250889, 251397?\n\"Answer: 508*k + 249365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6138 or 5?\nAnswer: -6138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 4) + 45 - 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 30. Let d be 8\/110*55\/(-22). Which is the third biggest value? (a) 6 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3077806.\nAnswer: 2\/1538903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-42))\/(9\/7 + -1). Which is the nearest to x? (a) -4 (b) -163 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 47. Let w be q(26). Let x be 2\/(12\/(-21))*102\/w. Solve -5*n - x = -0*r - 3*r, 0 = 3*r + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2933031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/51443 + 3975849\/411544. Let r = f + -75\/8. Which is the nearest to -3? (a) -0.4 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -397276*r**2 - 2*r - 1078919.\nAnswer: -794552*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31748*a + 3*w = 31753*a - 19, -5*a + 5*w = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -299984 equal to -299628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 7*f**2 + 3*f**2 + 6*f**2 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 - u - 27. Let k = 25 + -19. Let f be v(k). Which is the closest to f? (a) -0.4 (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/9))\/w**(-9))\/((w*w*w*w*w**(-9))\/(w**0*w)))\/(w**(1\/2)\/(w*w**(2\/15))*(w**0\/w*w)\/w*w\/w**(-4)) assuming w is positive.\nAnswer: w**(1127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -148000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5 + 264*x - 247*x + 0. What is the tens digit of r(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3148 = 8772. Suppose -9*k = -k - s. Does 59 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(4\/6))\/(33\/88)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + 196. Let j(l) = -l - 12. Let t(q) = 1. Let m(p) = -j(p) + 4*t(p). What is m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 419, 443, 485, 545?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 52. Let b(u) = -4 - 4*u - 3*u + 6*u. Give b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = -88*j + 93*j. Calculate the greatest common divisor of j and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004143 rounded to six dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441199 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277015 is divided by 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*b + 356*b - 102 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 5) in base 14?\nAnswer: -5d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/5, 16, -3\/1201, 0.1?\nAnswer: -3\/1201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23804028 divided by 556.\nAnswer: -42813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:54 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11268825 - 64?\nAnswer: 11268751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibb when three letters picked without replacement from bsbisibllsb.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*w - 5*c - 11, 2*w = -4*c - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 10*g + 12. Give j(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 3264964.\nAnswer: 16324820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - g + 1. Let v be o(-2). What is the units digit of v - (-1 - 2\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6773054 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 1 = -301. Solve 11*l = 2*x + h*l + 2, -2*l + 4 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -440 + 445. Suppose b*a = 2*w + 4, 0*a + 17 = a + 5*w. Solve -2*j + a*c = -3*j + 6, 2*j + 5*c = 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157\/76 + -10671\/38. Let q = o + 280. Determine f, given that -q*f + 3*f**2 - 1\/2 = 0.\nAnswer: -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71707049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**2 - 14*j - 16 + 0*j**4 + 0*j**3 - 12\/5*j**5. What is the derivative of l(c) wrt c?\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -16, -1\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16499529519)\/519 - (7\/(-3) - -2)*3. What is m rounded to the nearest one hundred thousand?\nAnswer: -31800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*k + 8165, 9043 + 1845 = 4*p + 3*k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - s + 89, 2*f - 31 - 64 = 5*s. Calculate the greatest common factor of 105 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -36. Let x be ((-40)\/u)\/(1 + 0). Find the third derivative of 3*v**2 - 13*v**2 - x*v**2 - 5*v**5 + 4*v**2 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/15)\/((-8124)\/(-180) + -45)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 18, 5.\nAnswer: 5, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/((-10)\/100*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 59 = 5*g, -2*p = -2*g + 30. Suppose 2*x + 3*u = -g, x - 15 = 6*x + 4*u. Differentiate b**2 + 3*b**4 - b**2 + 0*b**4 + x with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a86 (base 16) in base 7?\nAnswer: -142335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 26 = 2*u, 0 = 4*s - 125*u + 122*u + 16. Suppose -f - 2*f + 90 = 0. Solve 5*j = -s*c - f, 3*c + 18 - 3 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*k - 2 + 18 = 0, y = -2*k - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0152 * 245\nAnswer: 3.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 15 + 9. Let m = -5 - p. Suppose 5*i = 2*n - 3, 5*n - 17 = -i + 4*i. Calculate the smallest common multiple of m and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -45*((-21)\/9 - 3). Suppose 0 = 11*w - 6*w - g. Suppose -w = -4*p - 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1020?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*j + 6*j**2 - 51*j + 126*j.\nAnswer: 2*j*(3*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/66 + (-972)\/22. Let c = k + 77. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10120 - 9630 - 2480 = -311*d - 3259 for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 256. Give i(0).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 3. Let s be c(-2). Let i(a) be the second derivative of -5*a**3\/2 + 12*a**2 + 443*a. What are the prime factors of i(s)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g + 6. Let q be s(4). Let o = 42 + q. Suppose -i - 2*u = -0*u - o, -i + 2*u = -16. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v**2 - 12 - 10*v**2 + 6*v**3 + 10 + 4*v. Let n be l(3). Suppose -3*c + 6*c - 6 = 0, 3*c - n = -h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70291027 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 6*j - 4. What is x(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*m + 53. What is the hundreds digit of (-15)\/(120\/(-5296)) - m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.579+588\nAnswer: 514.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310442011 (base 5) to base 9.\nAnswer: -2337540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -3*l - 2*g, 4*l = 2*g + 18. Let w(m) = 2*m**3 - 2*m**2 + 2*m. Let i = -1 - -2. Let s(z) = -z**3 + z**2 - z. Calculate i*w(h) + l*s(h).\nAnswer: -h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12082*r + 176111506 - 176111506)*(2*r + 0 + 0)*(-4 + 4 - 2*r).\nAnswer: -48328*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 6 = 0. Let y be (o\/(-18))\/((-16)\/18). What is the nearest to -2\/9 in 4\/3, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1851 by -106006.\nAnswer: 1851\/106006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 53 + 71. Is 72\/7 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.83 - 5.383. Let o = -0.053 - a. What is the smallest value in o, 0.4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 76. Suppose c = 4*c - 3*k - 21, 22 = 4*c - 2*k. Suppose -4*z = q - 12, c*q + w = 3*z - 0*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*u + 1, u + 25 = -4*s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*f + 21*f - 179*f)*((-3*f + 2*f + 3*f)*(2 + 2 - 3) - 5*f + 3*f + f + 2*f - 4*f + 3*f + 0*f + 0*f + f).\nAnswer: -393*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-16\/7))\/(d\/d**(-35)) assuming d is positive.\nAnswer: d**(-229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -34*l + 667. What is the remainder when 659 is divided by r(18)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4414*d**2 + 25*d - 7. Does 90 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226.449 + -0.449. Let s = 248 - q. Which is the second smallest value? (a) 1\/5 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.3. Let j be (2\/(-8))\/(0 - -1). Which is the second biggest value? (a) j (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -7.\nAnswer: 61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppu when three letters picked without replacement from {u: 5, p: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + -8 + -1 + 143 + -141.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c11 - -c9c9?\nAnswer: d7da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - q**3 + 2 + 2*q**2 + 1 - 7. Let o be r(3). Let m = -739 + 745. Solve -4*s - o = -m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104961130?\nAnswer: 2, 5, 19, 131, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -95583.\nAnswer: 7\/95583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (-5 + sqrt(192) + sqrt(192) + 0 - (2*sqrt(960))\/sqrt(5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 21 = 6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6435, -6293, 17 in ascending order.\nAnswer: -6293, 17, 6435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/9 + 466132*b**4\/9 - 414354*b**3 - 466012*b**2\/9 + 31697896*b\/9 - 13052144\/3 = 0. What is b?\nAnswer: -233074, -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 5 = -19. Solve -2*k - 14 = 4*u, 7*u - g*u + 34 = 3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7464240000?\nAnswer: 2, 3, 5, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + v**2 - 5*v)*(34*v**3 - 75*v**3 - 109*v**3).\nAnswer: -150*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 8*f + 8*f + 20*f**3.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = -23*l + 200 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -647 * -8.\nAnswer: 5176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/9, -93 in increasing order.\nAnswer: -93, -3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21134 times -1.2?\nAnswer: 25360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 13*m**2 + 15*m - 77. Does 63 divide o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4769*b + 6374*b = 65805 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287 is divided by 80?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(112) + -4 + sqrt(112) + -2)**2 + ((sqrt(112)*-3 - sqrt(112) - sqrt(112))**2 + -3 - (sqrt(112) + 4 + -5)).\nAnswer: -772*sqrt(7) + 6670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-390))\/((850\/(-1875))\/(-17))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12599 + 12719. What is the remainder when 331 is divided by g?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1.51\nAnswer: -0.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 191945537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 27 - 1 = 0. Solve -2*b = -2*x, -5*b - d*x - x = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/33 - (-5480)\/4521. Factor -8\/3*z + q*z**3 - 4\/3 - z**2 + 1\/3*z**4.\nAnswer: (z - 2)*(z + 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = 64*w - 55*w. What is the greatest common factor of w and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/120 and -123\/725060.\nAnswer: 4350360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > -629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (22\/3)\/(1324\/(-66) - -20). Calculate the highest common divisor of o and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 12:56 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l - 317. Let v be s(32). Let k(o) = o**3 + 9*o**2 - o - 9. Suppose 20 = -4*w - 16. Let z be k(w). Solve -4*u = q + 4*q - v, -3*q + 9 = z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 75. Let c be 48\/364*-1 - (-8)\/z. Factor 0 - c*f**2 + 4\/13*f.\nAnswer: -2*f*(f - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*n + 3*n. Let l(c) = -4 - 4 + 7*c + n. Calculate the remainder when l(2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13 - -56)*((-1856)\/620 + 3) and 77\/20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98872 and 6256?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-70) + -2 + (-2)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/8 - 407*m**3\/2 - 2439*m**2\/4 + 13*m - 172. What is i in t(i) = 0?\nAnswer: -813, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13763 times 273?\nAnswer: 3757299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715 by 65.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 47*g - 9. Let z be t(-8). Let k(h) = 31*h - 1. Calculate k(z).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 300.5243 kilograms?\nAnswer: 300524.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-4)\/8*12))\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1462 (b) 3\/2 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0 + 15. Let v = -13 + 18. Find the second derivative of 3*o**3 - o - v*o**q + o**3 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 5 = 0. Suppose y + n - 4 = 0. Let i(v) = 4*v**2 + 5*v + 3. Let u(d) = d**2 + d + 1. Determine y*i(q) + 5*u(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(34)\/sqrt(2).\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 + 1304. Calculate the remainder when r is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -643*z**4\/8 - 3264*z**2. Let m(w) = -w. Give j(m(i)).\nAnswer: 1929*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 913\/77 + (-2)\/(-14). Let f(o) = o**2 + o + 1. Let q(v) = -14*v**2 - 12*v - 12. Determine j*f(x) + q(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1631 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1502 divided by 4\nAnswer: -751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16\/140 + 4\/14\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453603 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/24 - w**3\/6 - 131*w**2. Let s(n) = -n**2 - 8*n - 5. Suppose -5*m + 30 = -0*m. What is m*z(i) - s(i)?\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*g**3 - 486*g**3 + 174*g**3 + 164*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -471*r**3 - 3*r**2 - 104*r - 101. Calculate u(-1).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/14)\/((-15)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89942375 to the power of 1\/2, to the nearest integer?\nAnswer: 9484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -703, -700, -697, -694, -691?\n\"Answer: 3*a - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75456943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85584 is divided by 85184?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 66 = 65, 5*t + 5 = 5*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 3, t: 3, l: 3, m: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36487*z - 36487*z - 7*z**2 - 312 + 312.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220692136 is divided by 2161?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 22 = -6*c. Let f(t) = -t**2 - 18*t - 27. What is the remainder when f(-8) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)*4\/(-24). Let k = 115.49 - 115. Let u = k + -5.49. Which is the third biggest value? (a) u (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 7*s + 3. Let p be v(7). Let q = 22 + -22. Factor 2\/3*n**p + 0*n**2 + q - 2\/3*n.\nAnswer: 2*n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 31*y**2 + 59*y + 39. Give a(29).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**2 + 22*d**2 - 31*d**2 + (3*d - 5*d - 4*d)*(-5*d + 3*d - 5*d))*(d**3 + 3*d**3 - 6*d**3).\nAnswer: -92*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 161 - 9 = 0. Let w = -2 - 2. Let d(o) = 15*o**2 + 6*o + 5. Let c be d(w). What is the greatest common divisor of b and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.3092 and -2?\nAnswer: -50.6184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**34*q\/q**(21\/5)*(q\/(q*q**27))**(1\/20) assuming q is positive.\nAnswer: q**(589\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -242*p + 2738. What is the remainder when 683 is divided by s(11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20233 + 3*a + 5*a + 20247)*((-2 + 3 + 1)*(3 - 2 - 4) + 0 - 1 + 3).\nAnswer: -32*a - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 + u + 6. Let p be m(-5). Suppose 2*t**2 - p - 3*t**2 + 7 + 556*t - 555*t = 0. Calculate t.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -920*d**3*t**2 + 2*d**2*t**2 - 2*d**2 - 32*t wrt d?\nAnswer: -5520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -h - 2*h - 108, -2*v - 4*h + 166 = 0. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27083.7 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19965 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003686 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110010 + 101?\nAnswer: -110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(245)*1)**2 + -2*sqrt(180) + -3)*4.\nAnswer: -48*sqrt(5) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 36*m**2 - 39*m - 4. Let q be p(13). Which is the closest to -7? (a) 0.5 (b) q (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1\/1316 (c) -1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-15 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.83838141 - -13.658381. Let v = o + -0.82. What is v rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 4*j + 8*a - 4*a - 2*a, -2*j - 3*a = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - u - 5 = 0, 5*v + 41 = 19*u - 16*u. Which is the biggest value? (a) 0 (b) -4 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 + 3. Let k(u) be the first derivative of -u**2 + 1. What is j(k(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1298 + 12362 = 10*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -17017.\nAnswer: 23\/17017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037087 rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 625 - 266 + 3*m + 14 + (1 - 2 - 1)*(-1 + 3 - 1)*(-1 + 2*m + 1).\nAnswer: -m + 373","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, w: 3, i: 2, f: 3, l: 1, e: 1}. Give prob of picking 3 r and 1 w.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foaw when four letters picked without replacement from fffofhwooaf?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 68 + 22 = 0. What is the remainder when 56 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(140\/(-2)))\/((-1)\/7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 28*a - 56. Calculate j(15).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*i**2 - 7*i**3 - 29*i**2 - 22*i**2)*(2*i - 2*i - 4*i).\nAnswer: 28*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*c**2*g**2 - 523*c**2 - 294*c*g - 719*g**2 wrt c.\nAnswer: -52*g**2 - 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 154728912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 664 and 3.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23810 + 23809.9999992558. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 + 8*f**3 + 1 - 9.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.89 + -1.74. Let c = -1.75 - -2. Let o = c - s. Sort 5\/7, o, -2 in ascending order.\nAnswer: -2, o, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/12 + f**3\/6 - 12*f. What is the second derivative of g(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 7 = 3*l, 31*m - 1 = 2*l + 34*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 198, 432, 760, 1182, 1698, 2308?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -95*8\/(-70)*462\/(-132)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1521*d**2*g - 5*d*g - 50*g wrt d?\nAnswer: -3042*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2 (c) -1 (d) -17195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2130 - 0?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/10)\/(2\/40*-2). Let c be 18\/b + 6 - 4\/1. What is the greatest common factor of 319 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 + 11*x**2 - 4*x - 2*x + 7*x as w + z*x + a*x**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m + 6. Suppose -2*i + 4*i + 123 = 3*k, 2*k + 2*i = 72. Suppose 2*h + 3 = -2*g - 3, 5*g - 3*h + k = 0. Give l(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 265943\/48 + -5540. Let b = 30804 + -1663489\/54. Calculate the common denominator of l and b.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453964?\nAnswer: 2, 11, 146681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12914 (b) 0.042 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 19*r**3\/3 - r**2\/2 + 1. Let b be z(1). Let y = b + -11. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100010011 + -1111000111?\nAnswer: 1111101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8230162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*h**4 + h**4 - 6*h**3 + 4*h**3 + h**4 + 2*h**2 to the form d*h**2 + n*h**4 + t + p*h + o*h**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136485?\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3d56b1 (base 16) to base 5\nAnswer: 2012114024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 500380.9 millennia in years?\nAnswer: 500380900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -111*s**7\/35 - 7*s**5\/6 + s**4\/6 - 37*s**2 + 4*s. Find the third derivative of d(t) wrt t.\nAnswer: -15984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3510284, -7020565, -10530844, -14041121?\nAnswer: -17551396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-3)\/((-9)\/511)*(84 + -81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -11*y + 68. Solve -y*i - i - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33475012 divided by 631604.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 - 5.232. Let x = -2.9 - -3. Let r = b + x. Round r to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6457450 (base 8) to base 10.\nAnswer: -1728296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16280 - 16286. Is o less than or equal to -205\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 13. Suppose 0 = p + 2*p - 2*p. Let s(m) = -m**3 + 6*m**2 + 4*m - 1. What is the remainder when s(6) is divided by k(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33638 and 0.1.\nAnswer: 33638.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 45. Let x(j) = -j**2 - 9*j + 2. Let g be x(-5). Let a be c(g). Let z(s) = 15*s**2 - 1. Is 7 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - sqrt(10))*-3)\/((-2*sqrt(720) - sqrt(720)) + sqrt(720)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682.1923 millilitres to litres.\nAnswer: 0.6821923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24896 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -120130?\nAnswer: -120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4190*k**2 + 62553.\nAnswer: 8380*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11590979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -610 > -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170483 + -170477. Let g(h) = 5*h**3 - h**2. Let i be g(1). Solve o*f + i = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 36*r**2 - 118*r - 774. Let t(p) = 11*p**2 - 40*p - 258. Let v(n) = 3*f(n) - 10*t(n). What is the first derivative of v(g) wrt g?\nAnswer: -4*g + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:58 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/93, 1, -1\/4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*k - 5977, 4787 = -36*k + 40*k - 3*a. What is the highest common divisor of 276 and k?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 36*g + 268 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - 2*o)*(1 - 10 - 12)*(-3*o + 2*o + 2*o).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*y = 6, 10 = -4*k + 3*y + 8. Let x = 570059 - 12535755\/22. Let h = x + -252. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8810645\/278 + 31693. Let g = r - -10685\/556. Calculate the common denominator of g and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175.8 - 160. Let v = k - 14. What is v rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 7:35 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 56363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 5*o, 6*r = 4*r - 2*o + 22. Let d be (-2)\/2*1*-7. What is the highest common factor of r and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23132 - 20?\nAnswer: 23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 56. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2129 - 2143 - 7*i - 3*i**2 - 3*i. What is s(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14124?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 4. Let h be y(7). Let m be (-4)\/(-1) - (h - 1). Let i = m - -26. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*h - 2858 + 1227 = 2945 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*m + 144*m - 23*m**2 + 150*m.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5274 + 17803. Let o = 23064.929 - d. Let q = o - -12. What is q rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let r = 0.05 - -0.55. Let o = r + -1.6. Which is the nearest to o? (a) i (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4 - (-8 - -9). Solve 2*v - 4 = -4*n + 8, g*n = 2*v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/6))\/h)\/((h\/h**11)\/h))\/(h**(-4\/9)\/h*h**(3\/17)) assuming h is positive.\nAnswer: h**(3703\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1680)\/(-14))\/(-10))\/((-21)\/(-14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 10*a - 380. Let u = a + 95. Factor 1\/4*y**2 + 1\/4*y + u.\nAnswer: y*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*r = -3, -3*y - 5*r - 11 = 13. Let f(j) = -6*j - 6. Let i be f(y). Solve -5*k + c = -c - 28, 2*c = k - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u. Let g(j) be the second derivative of 2012*j**3\/3 + 131*j + 2. What is g(q(c))?\nAnswer: 8048*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 110\/18 + (-8)\/72. Suppose y + t = 9. Solve -i + 11 = h - 6*h, y*i + 15 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.65176 seconds to nanoseconds.\nAnswer: 68651760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 12*p**2 + 21*p + 30.\nAnswer: -3*(p - 2)*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 + 1165324.002.\nAnswer: 1165320.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244233314 + 4?\nAnswer: 244233322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -211\/2520 and 37\/588?\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31b9 + -40aa?\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 + 385 + -2 + 1)*1. Suppose a - 93 = -h, 4*h - d = 12*a - 17*a. Are 87 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:49 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 6*s - 38. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uot when three letters picked without replacement from hhrutro?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b - 2*h - 6, h + 3 = 0. Suppose b*o + 55 = o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7558*b**3 - 7557*b**3 + 15119*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 137980 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by 4.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 124 = -126. Suppose -8*p = -3*p - g. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3)*r*r**1)**(7\/3)\/(r**6*r**(2\/9)*(r\/r**(-2))\/r**2) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 5*t**3\/6 - 1548*t. Let x(p) = 3*p**2 - 27*p. Calculate h(x(n)).\nAnswer: 15*n**2 - 135*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 8*g**2 + 8*g. Determine s(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1574 - (-4 + 2) - 2. Let k = -605 + y. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {e: 4, i: 1, z: 3, c: 1, p: 2, k: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.100351s to minutes.\nAnswer: 0.23500585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/((-20)\/(-12) + -1). Let m be (-2 + -1)\/(z\/(-10)). Sort -5, 1, m.\nAnswer: -5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4) + 2 + -9. Let c be -4 + 47\/28 + o. Let a = c + 23\/4. Put a, 3, -5 in increasing order.\nAnswer: -5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*s - k + 2071, 4*s + 1726193*k = 1726191*k - 114 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 9*u + 160. Let v be (0\/u)\/(6 + -10). Solve v = -8*b + 10*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b - 5. Let u be n(-1). Suppose u*y = -2*j + 292, -5*j + 439 = 2*y - 331. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -30 - (-9 + 4 + -13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -8 - (45 + (17 - 65))) + -13 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -y + i + 8, -7 = 4*y + i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*c**3 - 46017*c**2 - 113*c**3 + 138058*c**2 - 46024*c**2 - 46017*c**2.\nAnswer: -668*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00711 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6074365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and -0.1878?\nAnswer: 24.2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/15)\/n*n*n*n**(-17)*n*(n**21)**(-14\/9))**(-11\/8) assuming n is positive.\nAnswer: n**(2607\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95352028 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-338)\/(-260)*30 - 15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/12 and 85\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/(q\/(q*q**6))))*q*q**(-4))**(2\/47))**(-46) assuming q is positive.\nAnswer: q**(-276\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d*d**(-6))**6 assuming d is positive.\nAnswer: d**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/24 + 5*q**4\/12 + q**2. What is the second derivative of z(d) wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*f**2*u**2 + 514*f**2 - 168*f*u**2 + 2805*f*u wrt u?\nAnswer: -724*f**2 - 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + 5*p**3\/6 + 7*p**2\/2 - 253*p. What is x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11163294307 - -124872610208249\/11186. Let f = -10\/799 - n. What is the common denominator of -93\/16 and f?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -585 (b) 2.2 (c) -0.5 (d) -271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j - 73*j - 11*j**2 - j**3 + 31*j - 6. Let u be q(-7). Let t be 0\/(2 + -1 + 1). Solve t = 5*y - 5*g + 5, 2*y + 3*g + u = 2*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67760773231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869212671.\nAnswer: 3, 503, 576019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 47 = -9*y. Calculate the greatest common factor of 256 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 208 = -30*b + 78*b. Solve -2*p = 4*y + 22, -3*p - 17 = b*y - 6*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.918309l?\nAnswer: 7918.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -34.4. Sort u, 5, 3 in increasing order.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q**4\/q)*q\/q**3*q*q\/q**2)\/((q\/(q\/q**(-1\/2))*(q\/(q\/q**(2\/11))*q)\/q)\/((q*q**(-1\/2))\/q)**(-1\/3)) assuming q is positive.\nAnswer: q**(-182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9661.496l to millilitres.\nAnswer: 9661496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 56, 104, 150, 194?\n\"Answer: -o**2 + 53*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (23 - 0) - -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdgddddddddd. Give prob of sequence gdd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*i, -5*i + 25 - 5 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*y - y - 37 = 0, 0 = -5*t - 2*y + 31. Calculate the highest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5800179 to the power of 1\/2, to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 + 27116*i**4 - 1084333*i**3\/4 + 2520923*i**2\/4 - 440476*i + 94871 = 0.\nAnswer: 1\/2, 2, 7, 27106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -219, -212, -213, -228, -263?\n\"Answer: -h**3 + 2*h**2 + 8*h - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffhfffppfffff. Give prob of picking 2 f and 1 p.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let s be u(8). Solve 0 = p - s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (43\/215)\/(1\/30). Find the third derivative of -77*c**2 - 63*c**2 + c**6 - 7*c**6 - 5*c**6 - 7*c**p wrt c.\nAnswer: -2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -122847, -491526, -1106031, -1966362, -3072519, -4424502, -6022311?\n\"Answer: -122913*j**2 + 60*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-3*(53 - 54). Let g(k) = 29*k**2 - 9. Let t(v) = 14*v**2 - 4. Determine b*t(z) - 4*g(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**6\/30 + 155*y**3 + 7815*y**2\/2 - 3483*y. What is the derivative of v(b) wrt b?\nAnswer: -4*b**3 + 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -159290?\nAnswer: 159277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**3 + 2564 - 1286 - 1278 + 25*f**3.\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - 1) + 9 + (-6 - -19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397595 is divided by 333?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s + 2*s**2 + 442*s - 387*s + 3*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244965 or 244924?\nAnswer: 244924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 21*z**3 - 2*z - 2. Let y(l) = -21*l**3 + 3*l + 3. Give 6*j(b) + 4*y(b).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24491 is divided by 2712?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/100 of a litre?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c)**18\/((c**(-1\/9)\/c)\/(c*c\/(c\/c**19*c))) assuming c is positive.\nAnswer: c**(-305\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2*x**3\/3 + 113. Let v(m) be the first derivative of 2*m**3 + 1. What is v(d(g))?\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(1827\/58))\/(2 - 357\/180).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 + 2*c + 3. Let p be ((-33)\/(-440)*(-110)\/(-33))\/(1\/(-12)). Let i(o) = -2*o**3 + 3*o**2 - o - 4. Calculate p*h(n) - 2*i(n).\nAnswer: n**3 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*h = -3*o - 228, 0 = -2*h + 8. Let d = 62 - o. Let s = 34 - d. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3805.\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -170234 (b) 5 (c) -30\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -715 - -745. Let g be ((-5)\/(-40)*l)\/((-12)\/(-32)). Let z(j) = j + 2. Determine z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005648464 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.44 + -0.56. Let y = 3 - 2. Let r = 6\/7 - 51\/35. Which is the second smallest value? (a) r (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 36 = 23*r. Let v be (11 - 1)*(10 - 220\/25). Solve i - 5*z - r = v, z = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 6057874.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -9) + (-4 - -1) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/(1*((-147)\/35 - 2)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 - x + 11. Let u be z(8). Solve -s + 7 = u*d, -7 = s - 6*s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 + 6*s**2 - 2*s + 6. Let j(t) = t**4 - 5*t**3 + 5*t**2 - 3*t + 5. Let i(m) = 6*j(m) - 5*r(m). Find the second derivative of i(y) wrt y.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahhhhhahhaahhhhhhhhh. What is prob of sequence aah?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 1. Let k be a(2). Solve 5*m - 3*d = -0*m + 27, -11 = k*m + 5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.2 + 89.2. What is the second smallest value in o, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.133 (b) -33\/37 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 2. Let q(k) = k + 4. Let w(h) = -9*h - 34. Let j(t) = -51*q(t) - 6*w(t). Calculate j(b(v)).\nAnswer: -39*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*n + 2 = 0, 6*n - n = 5*g - 20. Suppose j = m + 3, -1 = -j + g*m - 0*m. Find the second derivative of -4*s**4 - s + 5*s - j*s + s**4 wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 111, 93, 59, 3, -81, -199?\n\"Answer: -r**3 + r**2 - 4*r + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 7*q**4\/2 + 34*q**3\/3 + 33*q**2. What is the thousands digit of v(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*t - 156, 203 = 5*z - 4*t + 5*t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 + 30*f + 1863 + 3*f - 701 - 582 - 4*f**2.\nAnswer: -4*f**2 + 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/9*(2 - -1). Let h(k) = k**3 + 7*k**2 + 4*k - 3. Let v be h(p). Is 26\/((18\/4)\/v) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -34, 1\/4, 0, 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661256589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -143 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 11 = c, h + 14 + 0 = -4*c. Let j = 0 - 0. Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*t + 244353 - 78153 = 0 for t.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 7, q: 6, w: 2, k: 1}. What is prob of sequence qq?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**2 + 7*z**2 - z**4 - 3*z - 18*z**2 + 2*z**3 + 2*z**4 in the form t*z + f*z**4 + q*z**3 + o + y*z**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.624 rounded to zero dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50750, 101509, 152310, 203165, 254086, 305085?\n\"Answer: 2*m**3 + 9*m**2 + 50718*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*w - 78*w + 184*w + (0 + 0 - 2*w)*(2 + 1 - 5) + 2*w + w - w.\nAnswer: 151*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11035 is divided by 316.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/3*(36\/15 - 2). Let y + 3\/5*t**3 - 1\/5*t**2 - 3\/5*t - 1\/5*t**4 = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15368, 15417, 15466, 15515, 15564?\n\"Answer: 49*m + 15319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 + 174. Let q(f) = f**2 - 11*f + 31. Let o be q(v). Solve -o*s + 16 = -4*w, -2 - 11 = 5*w - 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -6*d - 3*o - 11, 5*o = 4*d - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 20*c = 15*r + 450, 3*c = 5*r + 510. What is the least common multiple of c and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -3. Suppose -j*x + 79800000 = -3*x. What is x rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:19 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (30 - (11 + 48))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28107, 24832, 21557, 18282, 15007, 11732?\n\"Answer: -3275*l + 31382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 - 7846*d\/3 - 5262280.\nAnswer: 2*(d - 5388)*(d + 1465)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/((-18821)\/11))\/(3\/(-5133)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/32)*p**(26\/9) assuming p is positive.\nAnswer: p**(859\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/27776 and 37\/62496.\nAnswer: 249984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 11*w + 404. What is the third derivative of 53*o - 10*o**3 - w*o + 49*o + 29*o**3 + 2*o**2 wrt o?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*415\/(-2158). Suppose 5 = o + 6. What is the nearest to o in 4\/13, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4199193 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 72003490200 to the nearest 1000000.\nAnswer: 72003000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Factor -40*h + 10 - 726*h**r - 12 - 1250*h**4 - 274*h**3 - 300*h**2.\nAnswer: -2*(5*h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -3*1\/42 - (-13 + 1625283\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-4)*l)*(l*l**(-7))\/l)\/(l\/(l\/l**(-9\/2)*l)*l*(l**(-3)*l*l)\/l) assuming l is positive.\nAnswer: l**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16*u\/(u**(-4)*u*u)*u*u\/((u*u**(-2))\/u)*(u\/(u*u**14*u)*u*u)\/u)**4 assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = -u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3476 * -0.2.\nAnswer: 695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*-3*1210\/(-1815). Solve -4*p - a + 3 - s = 0, -p - 2 = -2*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 2\/((-4)\/(-6)). Let l = w - 18. Let r = l + 37. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11122 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, m: 2, g: 3, a: 5, b: 2}. What is prob of sequence mgm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 56 = -15*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Suppose 3*j = -2*j + 30. Let z(t) be the first derivative of 3*t**2 - 1 + 9 - j. Give z(f(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from iuiiuiuiiui.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 917580*s**3 + 34*s**2 + 1462 wrt s?\nAnswer: 5505480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icrrvrn. Give prob of sequence vr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and 74\/7371.\nAnswer: 36855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 2. Let a(n) = -n**3 - 5*n**2 + 8*n + 12. Let q(p) = -6*p**3 - p**2 + p. Let u be q(1). Let r be a(u). Sort v, r, 1.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241034?\nAnswer: 2, 19, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 33917459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 1520 = -9*b. Let r = 380 + b. Solve 2*v = -8 - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*c - 9*h + 4*h, 5*h = -2*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -10. Let j be (-10)\/(-4) - 3\/b. Is (0 + j\/3)*237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1122*b**5 + 3*b - 783 wrt b.\nAnswer: 22440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*z = -270, -867 = -5*j + 4*z + 451. Let i = j - 146. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403405.\nAnswer: 3, 5, 19, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3 + 72*y**2 = 0?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 39 - (-2 + -1)) + -59 + 88.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-151)\/((-230275)\/122)*(-2 - -22)\/(6\/(-9))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 288. Solve -12*l + 36 = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*x + 6 = 0, -x + 5*x - 8 = 3*c. Suppose 3*p = -12 - c. Let q(v) = v**2 + 81*v + 831. Let d be q(-12). Put 0, d, 4, p in ascending order.\nAnswer: p, 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 18*a + 39. Let o be h(-16). Let p be (-15)\/20 - (-3)\/4. Is o\/7 - (p + -222) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1539))**2 - -3*sqrt(19)*-2.\nAnswer: 30*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 25*i - 27*i + 45, i = -3*g + 26. Suppose -81 = -4*o + x + 28, -o + i = 4*x. Solve 42 = 3*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 4*m - 3*m)*(18 - m - 18) + 0*m**2 + 0*m**2 + m**2)*(24*m + 75*m - 33*m)*((-1 + 0 - 1)*(3 - 5 + 3) - 5 + 1 + 2)*(0 - 1 + 0).\nAnswer: 528*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 4*o = 6, 3*o - 5 = -v. Let h = 0.21 - 0.19. Which is the third smallest value? (a) -0.3 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18761112*-1\nAnswer: 18761112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/2 of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 605*k - 1202*k + 599*k. Let c(l) = 16252*l**2. Calculate c(o(r)).\nAnswer: 65008*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 29. Let r(h) = -h**3 - 10*h**2 - 9*h + 4. Let c be r(t). Let z(q) = q**2 - 3*q + 2. Give z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8876 - -0.1124. Let k = 8\/17 + -57\/85. What is the nearest to m in k, -2\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -10*d + 25*d - f + 5, -32*d - 97 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.907 + -6.806. Let l = q + -0.101. Let r = 75 + -376\/5. Which is the second smallest value? (a) r (b) l (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0263598 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -14, 5\/2, -0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 570648 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*p**2 + 0*p**2 + 0)*(-3*p**2 + 4*p**2 - 3*p**2).\nAnswer: -6*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n\/n**5*n))\/n)\/(n**(-4\/9)*n))\/(n**(1\/8)\/n**(-2\/3))*((n*n**2*n)**(1\/14))**(-27) assuming n is positive.\nAnswer: n**(-3055\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 41, 50, 65, 86, 113, 146?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67716.45 grams to micrograms.\nAnswer: 67716450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:37 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1938\/(-36) - -54)*(-17)\/(136\/1776)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15866 + 491848\/31. Which is the closest to -4\/7? (a) 0.4 (b) 1\/3 (c) 2\/7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-13\/2)*i*i))\/i*i**(3\/2) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4503 equal to -4504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 203.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = 5. Let g be (3\/(-6))\/((-1)\/6). Suppose f - 20 = -g. Solve -4*u - k + f = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 838 divide 60339352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h + 12, 5*y + h - 1 = 0. Let l be 3 + -2 - (-1 - 15). Suppose -y = -r + l. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 316368 = 2*f + 155554. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 5, 2\/9, 1.2, -19724 in decreasing order.\nAnswer: 5, 3, 1.2, 2\/9, -9, -19724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*1328\/8. Is (z\/4)\/(3\/84) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose -5*k + 7 = -13. Suppose k*x = -16, b = -f - 3*x - 7 - 2. What is the remainder when 4 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8925\/548 + -5\/137. Calculate the common denominator of 93\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1241 - 2399\/2. Let u = 15 + 9. Let m = 44 - u. What is the common denominator of m and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1\/6*p**3 + 0 - 7\/60*p**5 - 10*p + 1\/2*p**2 + 0*p**4. Let q(o) be the first derivative of f(o). Give q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371\/93 - 134\/31. What is the biggest value in o, 0, -11\/7, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 47*v**2 + 194*v + 196.\nAnswer: -(v - 98)*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12137 + 6072 + 6046 + 3*r. What is c(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5 in ascending order.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x + 138. Determine h so that -11*h - 13*h + 90*h + x*h + 27 + 225*h**2 + 125*h**3 = 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137315.36 to the nearest one hundred.\nAnswer: 137300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {w: 3, x: 3, g: 1, f: 4, i: 8}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1309 and 9\/476.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-65)*(-14)\/77*5. Let d be (-2)\/(-7) - (-3)\/14. Which is the closest to 2? (a) d (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563992583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + 15 + -6)\/((-3)\/2430). Is d greater than 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 5, d: 4, t: 2, w: 1}. What is prob of sequence popd?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -4*p. Let y = -10.19 + 9.69. Which is the closest to 0.1? (a) y (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88\/161 - 6\/23. Let l be 6\/5*(-25)\/(-10). Which is the nearest to j? (a) l (b) -1\/2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89915.6 - 89914.6000042. Let o = 1 - l. What is o rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/49910165 and 151\/55320.\nAnswer: 1197843960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 185 (b) 8 (c) 2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030323 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 + a**3\/2 - a**2 - a. Let s be f(-4). Suppose -48 = -3*g + 3*p, -2*g + s*p - 5*p = -12. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1, g: 1, n: 2, t: 2, r: 3}. What is prob of picking 1 r and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.154 * 4\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/8 + 35*u**3\/6 + 9*u**2 + 374. Suppose n(v) = 0. What is v?\nAnswer: -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 54*o**2 - 16*o + 115. Let z be (-1177)\/(-165) + (-2)\/15. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-8))\/11*(-24)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/2)\/(1\/(-5)). Let a be (t - -5) + (-8)\/2. Let o be (-2)\/a + 78\/4. What is the greatest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 30.2.\nAnswer: 12.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 0, -4*h - 2*j + 90 = -3*h. Suppose 94 = 8*f - 4*f - 2*k, 4*f - 4*k = h. List the prime factors of (f\/16)\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:17 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2536, -2535, -2534, -2533, -2532?\n\"Answer: d - 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122202 and 429678.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1069*s - 2551. Is r(-12) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.135? (a) 1 (b) -244 (c) 4\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6202231 and 3544132?\nAnswer: 24808924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4589, -9225, -13901, -18623, -23397, -28229?\n\"Answer: -o**3 - 14*o**2 - 4587*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 v when three letters picked without replacement from jtjyvuaav?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.077896 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 20, 9 in ascending order.\nAnswer: -5, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25999 - 1083 = -593*h - 397 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 22. What is the remainder when g(-15) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235472364?\nAnswer: 2, 3, 677, 398261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 + 3 = 0, 3*u - 5*y = 118. Calculate the remainder when 135 is divided by u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1987*x - 51658. Determine d(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231200 (base 4) to base 13.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 288\/132 + 2\/(-11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -169, -173, -179, -187, -197, -209?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 135*m**2 - 1215*m + 3645 = 0. What is m?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -153*s - 5045. Let h be f(-33). Factor 2*b**2 - 38\/3*b + h.\nAnswer: 2*(b - 6)*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6750*l + 0.\nAnswer: -6750*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026259 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150626 - 8*v - 27*v + 0*v - 75316 - 75310.\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12620 + -2710. Round d to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Suppose 3*s - 2 = 2*g, -m*g + s = 6*s - 35. Suppose 4*b - 2*j - 4 = 3*b, -11 = -b - g*j. Solve h - 2*z = b, -3*h + 2*z + 8 = z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 24, 0.7, 2, -5 in ascending order.\nAnswer: -5, 0.13, 0.7, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5168*b**3 - 7*b**2 + 2*b + 33. Let l be n(-7). What is l rounded to the nearest ten thousand?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1776*n - 14601. Calculate d(-9).\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 - 11*r**3 + 36*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(21\/140)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063327 to 4 dps.\nAnswer: -0.0633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10. Suppose d = -a - 1 + 5. Solve -2*l = -4*i - 12, -i = 2*l - a*l - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + 14\/(-8). Let y(z) = -z**3 - 14*z**2 + z + 18. Let q be y(-14). Put 7, j, q in ascending order.\nAnswer: j, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (5 + -2 + sqrt(11)))*-5 + 6*(sqrt(539) + 1))**2.\nAnswer: 1764*sqrt(11) + 19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1406 + -3?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 129, 149, 139, 99, 29, -71?\n\"Answer: -15*s**2 + 95*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/8*f**4 + 1\/60*f**5 - 1\/6*f**3 + 6*f**2 + 0*f + 0 - 1\/360*f**6. Let n(q) be the first derivative of p(q). Factor n(d).\nAnswer: -(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 228 = -b + 4*b, 0 = -3*r - b + 236. Suppose -5*a = 2*w - 830, -3*a + 2*w = -418 - r. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 5*d - 7. Let r be a(5). Let s = r - -3. Let f be (-665)\/(-45) - s\/18. Solve -5*p + 0*p = -2*q + 17, 0 = 3*p + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -0 + 36. Let b be (-5)\/390*(-2 - g). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18 = -2*n. What is the greatest common divisor of n and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let v = 718 + -503. Suppose -v = 18*h + 25*h. What is the closest to b in 1, h, 1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*t = -629*t + 49*t + 79447 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5374 + 0.5374. Let a be 2\/5*(-24)\/16. Put a, 0, -20, o in ascending order.\nAnswer: -20, o, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 2) + 9 + 0 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at least as big as -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/(-6) - 44\/33. Which is smaller: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(100\/(-15))*(-10)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -13*c - 8. Suppose -5*z + 61 = 3*k, -c*z - 75 = -5*k + 2. Suppose k*a - 15*a = -190. What is a rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((1 + 40 - -1) + (35 - (80 + -54))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0616363 hours to seconds.\nAnswer: 221.89068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-858)\/(-24) - (13\/4 + (-60)\/24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -7. Suppose 43 + 41 = 6*r. What is the highest common factor of f and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 135440*o**3 - 919632740*o**2 - 32931481680*o.\nAnswer: -5*o*(o + 36)*(o + 13526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f - 167. What is w(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 9, 8, 1, 5, -4 in decreasing order.\nAnswer: 25, 9, 8, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*g - 5*l, 5*g + 5*l = 3*l + 16. Let t be (3 - 1)*(-5 + g)\/(-3). Let j be (-6)\/9*9\/(-2). Solve -4*u - t = -j*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100221210 (base 4) in base 8?\nAnswer: -205144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 14 = 5*o + 3*h, -2*o = h - 13. Let x(l) = l**2 - 5*l. Let m be x(5). Suppose 0*z - z + o = m. Solve -3*y - 2 = z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 75*b**3 - 5*b**2 - 75*b.\nAnswer: 5*b*(b - 1)*(b + 1)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:49 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(76)*-1 + -2 + 0 + sqrt(76)) + (2*(sqrt(95) - ((sqrt(95) - (sqrt(95) - 3*sqrt(95))) + sqrt(95))))\/((sqrt(20) - sqrt(5))*-1).\nAnswer: -14 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001635 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46930 divided by 1235?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.82 + 0.9. Let i = y + 2.92. What is the second smallest value in 1\/4, i, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931, 1752, 2465, 3070, 3567, 3956, 4237?\nAnswer: 4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3493028.\nAnswer: 2, 7, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 292*k**2 - 13216*k.\nAnswer: -k*(k + 56)*(k + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1350\/175)\/((-6)\/(-56)). Let h be (-1924003)\/4 + 6\/n*9. What is h rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -2*(0 + sqrt(162)))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 213 + 29 - 25 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116 - -113) + 5 + (2 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 + 50*o**2 + 245*o - 25. Give d(-5).\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300734197.\nAnswer: 7583, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29516919 divided by 53\nAnswer: -556923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/20 - (-2)\/10. Suppose -3 - n = -v. Suppose v*i - 3*i - 100 = 0. Solve 0*l + i = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8565.322 millilitres to litres.\nAnswer: 8.565322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 52. Let s = 2300 - 2305. Let k(c) = 2*c + 17. Give s*m(l) + 16*k(l).\nAnswer: 2*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 232878, 466896, 700910, 934920, 1168926, 1402928, 1636926?\n\"Answer: -2*s**2 + 234024*s - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 5*v = 40, -4*x + 30 = -5*v. Is 291*(-4)\/x*(-25)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*r - 134*r + 223*r - 4134 - 5109 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 388 - 390. Which is the nearest to 1\/3? (a) 2 (b) 0.9 (c) 0 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9458 + -0.0542. Which is the closest to f? (a) -4 (b) 0.4 (c) 1 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 9*l - 11*l + 7, 5*l = -4*d + 11. Put l, 2, -4, 0 in ascending order.\nAnswer: -4, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 2. Let r be f(-5). Let i = 57 - r. What is the remainder when i is divided by (-50)\/(-4)*(-8)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 20*a - 900. Calculate the remainder when a is divided by 6\/(-27) - (-119)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 1, t: 5}. What is prob of sequence oi?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)*b)**(-4\/5)*(b*b\/(b\/b**(-3\/8)))**(-2\/23) assuming b is positive.\nAnswer: b**(-2801\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 98947727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {a: 5, h: 1, l: 4, c: 3, b: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -z - 0*z + 17, 5*z + 2*t - 85 = 0. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1840 + -1807. Sort m, -13, -1 in decreasing order.\nAnswer: m, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 232278996*i - 4496127665230668.\nAnswer: -3*(i - 38713166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/11 (c) 0.12 (d) -3 (e) 11\/4 (f) 2\/181 (g) -4\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5141267 and -54.4.\nAnswer: -5141321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 4*x + 2*x**3 - 15*x**4 - 23*x**4 + 19 + 36*x**4 - 2*x**2 in the form o*x**2 + y*x**4 + f*x + b + w*x**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 13. Suppose 14*f - 19*f = -20. Suppose -m = -f - p. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 21*x + 27*z = -13, 3*z = 5*x + 67 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/15*(-1962)\/12.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.97736 to 1 decimal place.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414063765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27766 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250596 - 250592. Let -1\/4*d - 3\/4*d**3 + 0 + 1\/4*d**t + 3\/4*d**2 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 600, 1340, 2374, 3702?\nAnswer: 5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/16 + (-2213)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.09 + -1.08999943. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 2*m, -4*m - 16 = 2*c. Suppose 0 = 3*l + 2*l - 25, -3*h - 2*l = -13. List the prime factors of c*h*63\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 10*d - 4*d + 4*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 11, -0.127, 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 465403 and 159397737?\nAnswer: 158932334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64202.97 litres in millilitres?\nAnswer: 64202970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f\/f**2))\/((f*f**2\/f*f)\/((f\/(f*f*(f**(1\/6)\/f)\/f*f*f*f*f))\/f))*(f*f\/(f**(-5)\/f)*f**(2\/5))**(-3\/13) assuming f is positive.\nAnswer: f**(-5111\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, n: 13}. Give prob of sequence nll.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y**4 + 9*y + 7. Let o(i) = -4*i**4 + 2*i + 2. Let w(j) = -18*o(j) + 4*v(j). What is the derivative of w(g) wrt g?\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-7)*11946\/9. Let n = 96541\/84 + b. Calculate the common denominator of n and -15\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.759785 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1238 or -1237?\nAnswer: -1238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294577899?\nAnswer: 3, 7, 11, 1021, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18140.\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -351*v + 169*v + 4 - 191*v. Let d be c(-4). Let r be d\/6 + (-6)\/(-9). What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14337 is divided by 14329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 14*c**2 - 15*c - 14. What is the tens digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8609 is divided by 234.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.89 + 21. Let o = a + -0.01. Sort o, -0.3, 4.\nAnswer: -0.3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3322 and 2416?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/4 - 20*z**2 + 1389*z\/4 - 855 = 0?\nAnswer: -95, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3456145 = -6*y + 1543181. Suppose -1350693 = -m + y. Let t = m - 1403914. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5 = -0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 + 1. Let h(g) = -7*g - 1. Let b be h(-6). Let k(c) = 6*c + 41 - b. Determine k(y(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19571330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:31 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*-28*12\/(-32)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*g - f, g - 3*g = 3*f + 20. Let a(s) = -s**2 - 5*s. Let t be a(g). Solve 31 = 2*u - 5*c, -5*u + 1 = 2*c - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/2 + 18377153*r - 110262927\/2 = 0 for r.\nAnswer: -36754309, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 180352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = -3*p, -3*b - 1 + 3 = p. Let o(a) = a**3 - 4*a - 2*a**3 + 2*a**3 - 6 + 3*a**2. Determine o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5361*j**2 + 10*j + 25. Let k(f) = 5363*f**2 - 11*f - 19. Let q(n) = 3*k(n) + 2*w(n). Find the second derivative of q(s) wrt s.\nAnswer: 10734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1905 - 2127 = 1187*p - 1215*p. What is the highest common divisor of p and 3384?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i + 35*i - 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/841*(-7)\/7.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 341495745 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8)*o**(1\/27)*o)\/(o**(-3\/7)\/((o\/(o*o*o**(1\/14)))\/o)) assuming o is positive.\nAnswer: o**(3173\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 + 1721*n**2 + 281*n + 1693. What is t(287)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 16 + 11)*(-3*c - 2 + 2).\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, -1, -9 in decreasing order.\nAnswer: 19, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48771.\nAnswer: 3, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*a - 2*a - 12 = 0, -4*a - 6 = -2*l. Let b = l + 49. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5327343*f**4*y**2 + 26*f + 906*y**2 - 36*y wrt f.\nAnswer: 63928116*f**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c\/(c*c\/c**(-13\/6))*c))*c\/(c*c**3*c))\/(c**0*(c*c*c\/(c**(-13)\/c))\/c) assuming c is positive.\nAnswer: c**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 16*k + 280. Let d(s) be the first derivative of s**3\/3 + 9*s**2 + 5*s - 2. Calculate the remainder when d(k) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 31. Let z be n(-7). Let p(o) = -5*o**2 - o**z + 6*o + 4 + 10*o**2 - 9*o. Calculate p(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*u*y**2 - 625555*h*y**2 + 247570*u - 4*y**2 wrt h.\nAnswer: 3*u*y**2 - 625555*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 6869*b**2\/2 + 173908*b - 334082.\nAnswer: (b - 6818)*(b - 49)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50631 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from hppphhhhphh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 - -6373029376?\nAnswer: 6373029562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1.859, 0, 1\/5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 3*o + 13. Let r be 2\/(-6) + 1 + 2\/(-3). Suppose -6*j - 3 + 39 = r. What is the tens digit of t(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 - 0.08. Let r = i - -1.6. Round r to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140562642 to six decimal places.\nAnswer: -0.001406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from acna?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 44 = -17*u. Let t = -50 - u. Let y = t - -39. Which is smaller: y or 5\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20532, -20563, -20620, -20715, -20860?\n\"Answer: -2*n**3 - n**2 - 14*n - 20515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 136, 124, 110, 94?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 837 (base 13) to base 11\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3428.04 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*g + 55*g - 2*g**2 + g**2 - 356*g.\nAnswer: -g**2 - 1149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -224?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 2*w - 1. Let k be (-191007)\/(-437) + 213\/(-69) + 3. Let h = 447 - k. Calculate the remainder when u(2) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4 + 36 + 0*t**4 - 18*t**2 + 4*t**3 - 20 - t**4 - 4*t = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 7189 in descending order.\nAnswer: 7189, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a - 8 = 0. Let h be 5\/a*(-4)\/26. Let g = -2\/39 + h. Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*n, 3*f - 6*n + 2*n + 22 = 0. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 1303.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18439 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384417)\/14826 - 1\/14.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbjjbjjbj. Give prob of picking 1 b and 1 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 2*g)*(18672*g + 43983*g - 869*g + 28111*g).\nAnswer: -89897*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 29*f**4\/2 + f**3\/3 - f**2\/2 + f + 8. List the prime factors of d(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t**5 - 4*t**2 + 70*t - 15 wrt t?\nAnswer: 140*t**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -22. Suppose 64 = 5*h - g. Let y = -118 - -167. Calculate the remainder when y is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280330*z + 443246 wrt z.\nAnswer: -280330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -22 - -6) + 2 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5573*o - 63. Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*-3*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + 92. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/13 + 310*u**4\/13 + 12468*u**3\/13 + 35264*u**2\/13 + 23104*u\/13 = 0?\nAnswer: -76, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(325) + -1)*-4 + -1*(-4 + -1 + sqrt(325)))**2.\nAnswer: -450*sqrt(13) + 8206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*d + 2*d**2 + 2 - 4 + 52*d - 2*d**3.\nAnswer: -2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/(-432))\/(1*6\/16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 32*f - 15*f.\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 6*a = 2*z + 27, -z = 2*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -19060*z - 514584. Calculate s(-27).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 179698330.1293\nAnswer: -179698329.7293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1600) - (sqrt(1600) + 2*(sqrt(1600) - sqrt(1600)*2)))\/(1*sqrt(125)*-1)*-3.\nAnswer: -5 + 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 666 = 58*k. Calculate the remainder when k is divided by (2 + -1 + -2)*-25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*d + 21 = 0, -26*q = -28*q + d - 21 - 12 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 1 + 9 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -76, -79, -82, -85, -88?\n\"Answer: -3*p - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381388 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623496740 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (6\/4)\/1. Let u(d) = -d + 1. Let p(y) = -17*y**2 + 2*y - 14. Let j(a) = o*u(a) + p(a). What is the derivative of j(f) wrt f?\nAnswer: -34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 9*r - 5. Let b be t(-8). Let d = 15 - b. Let l = -5 - -12. What is the remainder when d is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40040 by 8.\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 20)\/((6 - 4) + -3). Suppose -4*m + 2*x + n = -4, -m - 4*x = -15. Is ((-4)\/(-16))\/(((-7)\/(-6548))\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - 7*c**3 + 7*c**3 + 5*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -15*u**4 + 5*u**3 + 45*u**2 - 45*u + 10 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98598 by 2.\nAnswer: -49299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 2*v - 4. Let c be m(4). Let d(j) = 4*j**2 - 7*j + 6. Calculate the remainder when d(c) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07783741 rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -863 - -1530. Is 4\/6 - r\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18193 divided by -7.\nAnswer: -2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2775)\/(-35) + (-2)\/7. What is the remainder when g*(4 + (-5 - -2)) is divided by 1 - (-579)\/39 - 10\/(-65)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 180 = -5*w, -5*w = s - 6*s - 180. Calculate the remainder when 132 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7359*s - 7356*s = 21. Suppose 0 = -x + 28 - 4. Calculate the remainder when x is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(288) + -4)**2 + 0.\nAnswer: -72*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -5, 5, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 175.799 kilograms?\nAnswer: 0.175799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8831897?\nAnswer: 8831897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 462*u**2 + 16320*u + 115200.\nAnswer: 3*(u - 80)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-4 - (12 + -33)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 836*o + 2 - 2*o**3 - 4 - 811*o.\nAnswer: -2*o**3 + 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - l = -c - 5, 0 = -3*c + 2*l - 10. Suppose -5*w + 3*n = -9, -2*w + 5*w - 5*n + 1 = c. Suppose 0 = -w*s + 373 - 145. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-264))\/(8\/22).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 5:27 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5393605?\nAnswer: 5, 7, 73, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722304 and 23826.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4517, -3947, -2997, -1667, 43?\n\"Answer: 190*q**2 - 4707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let i = 3 - f. Suppose 5*n + 3*v = 10, -4 = -n - 3*v + 2*v. Put 0.1, i, n in descending order.\nAnswer: i, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 5. Let z = 11 + -4. Let p(h) = -9*h - 11. Let a(f) = 9*f + 11. Let j(m) = 3*a(m) + 2*p(m). What is z*l(y) - 3*j(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:51 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -424*n**3 - 157*n + 2. Let a(k) = -2970*k**3 - 1105*k + 15. Let h(q) = 4*a(q) - 30*t(q). Find the second derivative of h(w) wrt w.\nAnswer: 5040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*y**2 + 1917 + 2*y - 1917.\nAnswer: -1207*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*789\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 0.29. Which is the third smallest value? (a) 5\/4 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(-23)*(t**3*t)\/(((t**(-4)\/t)\/t)\/t)*(t**0*t)**(-2\/9)\/(t**(-2\/5))**(2\/75) assuming t is positive.\nAnswer: t**(-1601\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r + 3*r + 14*r)*(4*r**4 + 2*r**4 - 2*r**4).\nAnswer: 128*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 619*-0.68\nAnswer: -420.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 1661, 3505, 5845, 8543, 11461, 14461, 17405?\nAnswer: 20155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awjjtktkn. What is prob of sequence knwn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 27*u - 184. Suppose -4*n + 16 = 3*v, 2*v + 5*n - u = 5. Put -3, v, -56 in ascending order.\nAnswer: -56, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*d**5 - 36050*d**4 + 534946*d**3 + 7456616*d**2 - 2162793*d + 155250 = 0. What is d?\nAnswer: -750, -9, 1\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6226 in 1\/5, -5, 0.4, -2\/3, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)*u*u\/(u**(-3)*u))\/(u**(-2\/9)*u)**(7\/13))**26 assuming u is positive.\nAnswer: u**(760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 5)*(-3*x + 0*x + x)*(-13*x + 5*x + 3*x).\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.83\nAnswer: 0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588645058 to the nearest integer?\nAnswer: 24262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -100.032. Let g = w - -0.02668. Round g to four dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18990 and -29\/726?\nAnswer: 2297790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8*1)\/(2\/(-53)). Suppose -5*j + 2*d + d + 258 = 0, g = 4*j - d. Suppose -2*u - r - 19 = -j, -u = -5*r - 1. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -48, -132, -242, -378, -540, -728?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 384 and 16.9.\nAnswer: 400.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f, -5*c - 2*f = 20. Let v(h) = h**3 + 5*h**2 - 3*h - 4. Let t be v(c). Let i = t + -15. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57\/38)\/((-3)\/4). What is the least common multiple of (8\/(-4))\/m + (-35)\/(-7) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2051 + 2073.87. Let q = 3 - -19. Let y = q - m. Round y to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from uunuukkun.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 15, -11.\nAnswer: -11, -3, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59292015?\nAnswer: 3, 5, 599, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.69090015 rounded to 2 decimal places?\nAnswer: 35.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*r + 1527*r = -244*r - 360*r - 256970 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 324*x - 6192. Let a be l(14). Is a <= -1656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51424321 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 69, 96, 127?\n\"Answer: 2*r**2 + 17*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 1413*m - 1400*m. Sort -2, 2, 47, -1, m in descending order.\nAnswer: 47, m, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 x, and 1 g when four letters picked without replacement from goxomaxgxxmoxjmmxox?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*c + 72 - 97, 0 = -5*h - 4*c - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 5, 19, 35, 53, 73?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 44, 49, 54, 59?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*g + 245, -25 = j - 6*j. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1 - (2 + -2)). Suppose 0 = -g - 1, a*p - 12 = -5*g - 15. What is the lowest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z + 27 + 15 = -60 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let c(t) = -60*t**2 - 25*t + 25. Let o(v) = 5*v**2 + 2*v - 2. Let b(i) = 2*c(i) + 25*o(i). Give w(b(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 415*((-180)\/100)\/9. Sort -0.2, 1\/3, 0, r in decreasing order.\nAnswer: 1\/3, 0, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976637 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 - 2 = 0. Let h = 2359 - 2359. Sort l, -2\/7, h in increasing order.\nAnswer: -2\/7, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -41. Suppose 3*a + 5*c = -3932732, 0 = 5*c - c - n. Let d = 379081 - a. What is d rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0805*-0.4.\nAnswer: 0.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1730 + 1718 + (0 - (1 + -40 + -1 + -1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2044 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/l)\/l**(-2) assuming l is positive.\nAnswer: l**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 + 4*z - 20. Let v be y(7). Let m = v + 525. Which is the second biggest value? (a) 3 (b) m (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t. Let w(n) = -66*n. Suppose 0*g - 272 = -4*g. Let d = 41 - g. What is d*j(f) - 2*w(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0455360012 rounded to 3 decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 3*b + 2. Let i be f(2). Suppose -141 = -17*g + 131. Suppose i = -g*j + 18*j - 8. Solve 2*u + 10 = -j*r, 4*u + 2*r + 10 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxi when three letters picked without replacement from iiiiiitzitxztixix?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 3. Let c be a(-14). Let f = -21 + c. Is 10 a factor of (480\/75)\/((-2)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20455317 and 7362.\nAnswer: 3681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1801 by -791.\nAnswer: 1801\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 + 7 - 8 + 11*v**2. What is c(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 7, z: 1, n: 9}. What is prob of sequence nwff?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-2 - -2). Let c = -30 + 31. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -67, -91, -97, -79, -31, 53, 179?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1151306\nAnswer: -1151301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36149.722 days in weeks?\nAnswer: 5164.246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -117, -205, -331, -507, -745, -1057?\n\"Answer: -2*l**3 - l**2 - 45*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1130?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/7 - 294\/(-49)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n + 100. Let q be m(4). Let u(w) = -w + 1. Let g be u(-3). Suppose -4*b = q*c + c - 95, 4*c = -g. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o**2)*(854*o + 6*o**3 - 8801*o**2 + 8801*o**2).\nAnswer: -6*o**5 - 854*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 67*z - 24. Give r(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 446?\nAnswer: 5\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*p, -331*p = -327*p + 16 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkkkkla. What is prob of sequence la?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/((-220)\/50 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*q**3 - 123*q**3 + 44*q**3)*(5*q + 0*q + q)*(-4 + 3 + 0).\nAnswer: 192*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d + 12 = 52*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 114 = -i + 2*l, -4*l = 12. Solve 0 = 29*y - 38*y - i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 291394.\nAnswer: 2622546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 15*s + 9. Suppose 255 = -5*h + 2*i, 2*h - 5*i = -s*h - 270. Let f = h - -54. What is the least common multiple of f and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 745 + -744. Let s = -0.472 - 0.028. Which is the nearest to -0.2? (a) s (b) w (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -397*k**2 - 201 + 618*k + 399*k**2 + 197 + (5*k + 0*k - 3*k)*(0*k - 2*k + 4*k).\nAnswer: 6*k**2 + 618*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/760 and -71\/24.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.8 (b) -4.51 (c) -2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3322100 and 81\/930188.\nAnswer: 23254700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 12}. What is prob of sequence xz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -553*w**2 - 513*w**2 - 99*w**2 in the form i*w + v + y*w**2 and give y.\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 24*w + 3 + 24*w + 4*w**2 - 5*w**2.\nAnswer: -w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -12) + -14 + (-13 - -11).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 6)\/((-1)\/(-6)). Suppose -y + 17 = -63. Calculate the remainder when 39 is divided by (y\/j)\/4*6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -85.1. Let a = -4 - g. Let q = -0.25 + 11.25. Sort q, 2\/5, a in descending order.\nAnswer: q, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1142351*t**6 - 6*t**4 - t**3 - 20719397*t**2 wrt t?\nAnswer: -137082120*t**3 - 144*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16003 or 16021?\nAnswer: 16003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s + 140 = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 50122*o**2 + 200500*o - 200504 = 0. Calculate o.\nAnswer: -50126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26124 or 26213?\nAnswer: 26124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.34 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 8 - 16. Solve 14 = 3*k - 4*d, -o*k - 6*d + d - 29 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.03163513.\nAnswer: 0.26836487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:47 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -161776 in -2\/3, 3\/4, -1\/2, -5.8?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.14, 0.3, 355.47, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6617.708364 to zero dps.\nAnswer: -6618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40996*f = -40992*f - 68 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.30997mg in micrograms?\nAnswer: 74309.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53038330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4*d + 13, -11*b = -b + 2*d + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u + 12 = 0, u = -4*v + 3. Suppose -a - 2*r + 4 = 0, a - 12*r = -10*r - 4. Let h = 0 - -2. Solve a = -q - v - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 - 10?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -51537.62 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + a = -5, 0 = -5*n + 3*a - a + 22. Let d = n - -73. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 times -2.3?\nAnswer: 4894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/3))**(23\/2)\/((z**(-1\/19)*z*z)\/(z*z**(-3))))**25 assuming z is positive.\nAnswer: z**(65225\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 + 2*f**2 - 10*f + 10. Let h be i(-6). Suppose -6*x + x + 20 = 0. Solve 14 = -x*z + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0.05 (c) -1112\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3484 - 1730. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d + 11. Let o(z) = 30*z + 34. Let a(h) = -16*n(h) + 5*o(h). Let c(q) = -12*q - 4. Let m(i) = 2*a(i) - 3*c(i). Let w(j) = 2*j. Give m(w(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 45 = 49 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4, 5*c - g - 12 = g. Let w = 18.4 - 17.99. Let q = 0.59 + w. Sort q, c, -0.2 in decreasing order.\nAnswer: c, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*l + 11, 5*n + 3*l - 13 = l. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5.8. Let v = -7.7 - -8. What is the second smallest value in j, 0, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let l(z) = 2*z + 11. Let m(h) = -l(h) + 5*q(h). Let b be m(-5). Differentiate 2 - k**b + 1 - 1 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((2 + sqrt(1053))*4 - sqrt(1053)) + -2 + 4*(-4 + sqrt(1053)*-2 + 2))*3)**2.\nAnswer: 5670*sqrt(13) + 237366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + -5 + 20 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 5*n - 42 - 81 = -7*y, 4*n = 3*y + 22 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2 - 3*l + 15 - 5*l - 5*l. Let w be g(7). Let i = -449\/6 - w. What is the nearest to -0.1 in 0.4, -1, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068 is divided by 230?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 261 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/((-124)\/16 - -8). Find y such that -2\/15*y**3 + 0*y + 8\/15 - 2\/5*y**z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(9068\/(-692) + 13). Which is smaller: d or -18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1.79412\nAnswer: -10.76472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let k be z(3). Let u(v) be the third derivative of 7*v**5\/60 + 3*v**4\/8 + v**3\/6 - 14*v**2. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m**4 - 1557*m**3*x**2 + 3*x**2 + 10*x + 4 wrt m.\nAnswer: 28*m**3 - 4671*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/105173 in -0.3, -5\/3, 2\/3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/2 - 5*z**2 + 3*z. Let p be c(-5). Suppose 0 = -p*d - 5*l + 30, -5*l - 3 = -5*d + 17. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-8))\/1)\/(9\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -441\/11 - -849\/22. What is the nearest to q in 14, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 82.483927?\nAnswer: 92.483927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -57. Suppose -5*g = -t*v + 2, -3*v - 2*g + 7 = -2*v. Let l(h) = 3*h + 2 + 3*h**2 + 2 + h**2 - h**v - 3. Determine l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5400\/7200*4\/116*8.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 35*t**2 + t - 1. Suppose 2*x + 17 = 3*l, 5*x + 6*l = 2*l + 15. List the prime factors of u(x).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 + -5 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357116329?\nAnswer: 191, 1869719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 12. Let j be k(-5). Suppose -j*x - 329 = -32. Let m = 155 + x. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a497 (base 16) in base 10?\nAnswer: 42135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -55, -78, -99, -118, -135, -150?\n\"Answer: l**2 - 28*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-6)\/14) - 5. Suppose -5*d - 5*g = 645, 2*d + 276 = 2*g + z*g. Let t = d + 131. Which is the nearest to t? (a) 0 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 87. Suppose -5 = w, -5*h + 5*w + c = -7. Solve -4*n**2 - 1 - 3*n - 3 - 5*n + 0*n**h = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:49 PM?\nAnswer: 668","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 0.725 times 0.1\nAnswer: 0.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6 - -3)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 2 = -12*g. Suppose -v + 9 = -2*s - g*s, v - 17 = 2*s. What is the greatest common factor of v and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:23 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307555708*p**2 - 585008119*p wrt p?\nAnswer: 615111416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.1520374 and 7.3.\nAnswer: -43.8520374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*k - 286988, 2*k = -4*g + 4*k + 229576. Suppose 9*h - g = 5*h. Suppose -2*p - p - 2*y = -h, 0 = 4*p - y - 19121. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t - 128*t = 344760. List the prime factors of t.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 908 divide 1523932720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10803.\nAnswer: 3, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16313 (base 13) to base 7\nAnswer: 234140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287 - -254) + (-1 - -24) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 435, -2, -37, -5 in descending order.\nAnswer: 435, -1, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24907 * -11.98.\nAnswer: 298385.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2116 + 294126\/139. Calculate the common denominator of a and (7 - -271)*(-3)\/(-36)*1.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jggcxj. Give prob of sequence gxgc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5021*q - 5002*q = -9967*q + 2576 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*v - 4)*(11 + 13*v - 11) - 1 + 3*v**2 + 1.\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/30*i**5 + 77\/6*i**3 + 56*i**2 + 0*i + 0 + 0*i**4 - 1\/120*i**6. What is the first derivative of g(f) wrt f?\nAnswer: -3*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/75)\/(2\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.943. Let l = -1.943 + v. Sort -16, l, -1.\nAnswer: -16, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59489333 - -23789333. What is f rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2805 - 2715. Solve -t*x + 91*x = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drrr when four letters picked without replacement from {r: 3, d: 1, q: 5}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462022507 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1205, -5\/2, -1, 0.01 in decreasing order.\nAnswer: 0.01, -1, -5\/2, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 5. Let i(r) = -2*r - 3. Let s(l) = 3*h(l) + 5*i(l). Calculate s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -39 + 2*f**3 - 3*f - 3*f**3 + f**2 + 42 - 5*f**2. Does 7 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(324)*-2 - sqrt(324) - sqrt(324) - sqrt(324) - sqrt(324)).\nAnswer: -sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 8*c**2 + 12*c + 27. Let p be s(4). Sort p, 0, 26 in decreasing order.\nAnswer: 26, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 + c**3 + c**2\/2 + 8. Let n(g) = 2*g**3 - 4*g**2 - 2*g. Let h(o) = -3*f(o) - 2*n(o). Determine h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 - (12 + -19 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x\/(x*(x*x**(-2\/7)\/x)\/x))\/(x**(1\/10)*(x**(-2)\/x)\/x) assuming x is positive.\nAnswer: x**(761\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 59 + -130 + 18 - (-126 + 2 - 0).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4 + -5?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3 - 56*p**2 - 182*p - 124 = 0.\nAnswer: -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + -4 - -1 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 3, 16634 in decreasing order.\nAnswer: 16634, 11, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 38*m**3 + 22*m**2 + 16*m + 10. Let p be v(-6). Round p to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in -2, 1, -0.1, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -20.094. Let w = k + 0.09436. What is w rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*g = 481*g - 340 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172590.\nAnswer: 2, 5, 117259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 3*s - 102 = 2*o - 0*s - s, 1069*s + 1 = 1064*s + 21 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6626, 13321, 20016, 26711, 33406?\n\"Answer: 6695*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 11. Let g be (-3)\/(-1) - (5 + m). Factor -3*z**2 + g + 6 - 3*z - 3 + 3*z**3.\nAnswer: 3*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49892000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13064.22 weeks to microseconds.\nAnswer: 7901240256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 28 = -3*m, 0 = 3312*y - 3314*y + 2*m - 36 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116, -234, -354, -476, -600, -726?\n\"Answer: -r**2 - 115*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 40536*t**2 + 40395*t**2 - 3*t - 9 + 3*t.\nAnswer: -141*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 13*c**2 + 9*c + 248. Determine k(11).\nAnswer: -3888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3052.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7171076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-420)\/(-315))\/((-2)\/(-6)). Factor 0*p**3 + 0*p - 1\/3*p**y - 1\/3 + 2\/3*p**2.\nAnswer: -(p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198.61 or -2?\nAnswer: -198.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-8 - (37 + -25)) + -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + 320011?\nAnswer: 313213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 960624949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 7190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20257 - 7*f**2 - f**3 - 19812 + 40069 + 7*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -452, -679, -906?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1681 - 1273. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 - v - 1. Calculate the smallest common multiple of n(2) and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258746011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -0.4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 20, 23, 26, 29, 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 29*p**3 + 39*p**3 + 22*p**3.\nAnswer: 83*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200 - 205) + (-2 - -3) + -1 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jkbtwtkw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156942 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**6\/36 + t**5\/15 - 8. Determine v so that y(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5)\/w)\/w)**(2\/15)*w**(2\/19)*w\/w**(-1\/7)*w)\/(w*w**(2\/11)*w**(1\/3)\/w*(w\/(w*w**(-1)\/w)*w)\/w**(-5\/2)) assuming w is positive.\nAnswer: w**(-896899\/219450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -61780427\nAnswer: -61780427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3676 + 5178. Suppose 8*z + 582 - v = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133028 = -5002*j + 14686*j for j.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -737?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1f5?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 28*q = -55. Put 5, q, -1, 0 in decreasing order.\nAnswer: q, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/13 + -11\/78. Let x = 322 - 4828\/15. Let i be -8*(-7)\/56*2\/1. Which is the closest to i? (a) 0 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -k + 6, -31*q = -35*q + 5*k - 30. Let b = 14\/3 + -5. What is the closest to 6 in -3, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456809 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 641869 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Suppose -16 = -4*l + v + 27, -a*l + 63 = 3*v. Let j(k) = 12*k - 2. What is the remainder when j(3) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 3. Let g be q(2). Let a be (0 + 1)\/((-8)\/(-16)). Suppose -4*h - a*f = -104, -g*h - 2*f = -7*f - 115. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 937730239 or 937730238?\nAnswer: 937730238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 5. Let d(r) = 2*r**3 - 5*r**2 - 9*r + 23. Let b be d(5). Let x = b + -103. Give t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - 2*sqrt(35)*5)\/(sqrt(15)\/(sqrt(33)\/sqrt(11))))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 842, 2014, 3512, 5330, 7462?\n\"Answer: -j**3 + 169*j**2 + 672*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180257 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 41*f**2 - 176*f + 64. Let v be l(-37). What is the highest common divisor of 1408 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - o + 18 = 2*o, -5*o + 31 = 2*t. Suppose -2*h + 200 = 2*h - k, t*k = 5*h - 243. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:15 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/8*2\/3. Let t be 21\/85995*42*-13. What is the nearest to t in 0.5, -2\/9, x, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 4. Suppose q = 4*n - 5*n - 6, -4 = -n + 4*q. What is t(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nasyvca. Give prob of picking 1 c, 1 s, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 357*5 - (-21 + 23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/30 - 19*o**2. Let k(r) = 5*r + 9. Let c(w) = w + 2. Let u(s) = -9*c(s) + 2*k(s). Calculate g(u(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/5))\/m)**(-1\/6))**(-43) assuming m is positive.\nAnswer: m**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 - 52*f**2 + 59*f + 58. Does 22 divide x(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -14*z - 325. Let u be 3 + -9 + 11 + -29. Calculate q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, b: 2, k: 7}. Give prob of sequence bkb.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222 + 222.3248. Let g = -0.31 + t. Let l = g + 0.7072. What is l rounded to two decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1496 - -1500. Solve b + d = -g, -5*b + 8*b - 2*g + 17 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10170?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/105 and 13\/5985.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4066*o - 2031*o - 20 = 2040*o, d + o = -10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1603 = -8*v - 1531 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s + 1. Let t(j) = -2*j**2 - 6*j + 2. Let r be t(-3). Let w be p(r). Let o = w + 20. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/8 and 91\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 35*x - 90 = 0, -33*x + 6 = -2*n - 34*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -301*t. Let z(c) = 11*c**2 + 12*c - 6. Let u(s) = 24*s**2 + 26*s - 13. Let p(n) = -6*u(n) + 13*z(n). What is p(l(y))?\nAnswer: -90601*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i - 30. Let m be w(-3). Suppose 0 = 2*n + 2*h + 5 + 11, -m*h - 31 = 4*n. What is the tens digit of (-2 - 1185\/n) + 22\/(-77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317890.3 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 38 - 38 + 14*o**2. Let i(x) = 26694 - 2*x**2 - 26694. Give j(i(r)).\nAnswer: 56*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d120 + 3?\nAnswer: -6d11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -7)\/(-2 + 1). Suppose -z + 3*x + 39 = 7*x, 0 = -5*z + l*x + 75. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6373*n + 134273. Calculate z(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 4 = -2*i + 3*p, -4*i = -2*p - 72. Is 18 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i + 5. Let n be q(-5). Let k = -9 - -9.2. What is the closest to -0.2 in k, 2\/13, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8)*(-150)\/9. Suppose -3*p = 2*p - v. Solve d + p - 1 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 235, 2, -7, 5 in decreasing order.\nAnswer: 235, 5, 2, -3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - -3. Let u = 2.4 + -2.9. Which is the closest to y? (a) u (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44496055 to the power of 1\/2, to the nearest integer?\nAnswer: 6671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -19. Let x be 14 + 14 - (0 + 0). Let m = 29 - x. What is the second smallest value in 6, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -277a81 - -71?\nAnswer: -277a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 18 = 2*g. Let y be (-9)\/g + 22\/4. Solve 2 - y = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/6 + 3*w**2\/2 + w + 33. Suppose 3 = -p + 2. Let g be n(p). Solve -h - 2 = -g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181 or -247?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5624727*i**3*q**3 + i**3*q + i**3 - 15379*i**2*q**2 + 678*i*q**3 wrt i?\nAnswer: 33748362*q**3 + 6*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*g**2*x + 1354758*d*g**2 + 7*d*g*x - d*x - 13645*x wrt g.\nAnswer: 2*d*x + 2709516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**5\/60 + 13*s**4\/8 + 112*s**3\/3 + 50*s**2 + 54*s. Let j(a) = 0. What is a?\nAnswer: -32, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/11)\/(62\/(-527))*246\/2091\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 - -402.2. Let a = i - 76. Sort a, 1, -16 in descending order.\nAnswer: 1, a, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35752*h**2 + 47878*h**2 + 3536*h**2 + 37870*h**2.\nAnswer: 125036*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -f + 30 + 95, z = 4*f - 473. Let q = f + -1311\/11. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -2\/7, 3.394, -272?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476185*b**3 + 4*b**2 + 3062565*b wrt b.\nAnswer: -2857110*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/5))**(-38))**(-23) assuming p is positive.\nAnswer: p**(6118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**3 - 5*d**2 + 4*d - 6*d + d**3. Let m(p) = -7*p**3 + 4*p**2 + p + 1. Let w(q) = -3*m(q) - 2*o(q). Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3140507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-4 + (-51)\/(-12)). Let g be (a + 1)\/(-1 - 1). Suppose g = 8*u - 3*u - 20. Solve -u*h - 4*x = -12, -x + 4*x = -h + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/4896 and 157\/1026?\nAnswer: 279072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 5\/3, -2, 0, -13?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, y: 1, l: 2}. What is prob of sequence yjjl?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/8 of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnpnnvnnnnnnppnppn. Give prob of picking 1 p and 2 n.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, 5, 0.5.\nAnswer: -37, -3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -370 (c) -1 (d) -2 (e) -2\/13 (f) 3 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 84 - 84 + 0*m**2. Let p(o) be the third derivative of -o**2 + 1\/20*o**5 + 0 + 0*o + 0*o**4 + 0*o**3. What is p(y(x))?\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 1.2. Suppose 4*h + 6 = 2*z + z, 3*z + h - 6 = 0. Put z, v, 0 in ascending order.\nAnswer: v, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = -5*u + 5, -3*m = -5*u + 5. Let k be (-5 + 4)\/(u - 0). Let a = k + -1. Let n(y) = 2*y**3 + y**2 - 2*y + 1. Calculate n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 24\/(-6) + 9. Sort r, 6, 1 in decreasing order.\nAnswer: 6, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2870 by 5.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 10376079?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186415449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x - 2*x - 2*x. Let h(y) = 5*y**2 + 9. Let v(k) = -k**2 - 2. Let a(n) = 4*h(n) + 18*v(n). What is a(w(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 = -90. Solve -v = 4*c - 4*o - 54, 5*c = 4*o + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.197 - 4.803. Let f = 0 - -4. Let v = 20 - 22. What is the nearest to v in a, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j*n**4 - 663*j*n**3 + 241*j*n + 29*j + 119*n**4 - 41*n**2 + 2*n + 2 wrt n?\nAnswer: -72*j*n - 3978*j + 2856*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from ccccjjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 162471695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 11}. What is prob of picking 2 v and 2 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3896835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j - 126. What is the units digit of d(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-7)\/l*l**(-1\/4)*(l\/l**(-2))\/l*l\/(l**4*l))\/(l**3\/(l\/l**(-3)*l)*(l\/(l\/l**1))**(-41\/3)) assuming l is positive.\nAnswer: l**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/70 + -1\/14. Which is the nearest to -6\/7? (a) 0.2 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (((sqrt(85)*-1*-3 - sqrt(85)) + sqrt(85) - sqrt(85)) + (sqrt(85)*-2*-1 - sqrt(85) - sqrt(85)))\/((sqrt(180)\/(-1*sqrt(4)))\/sqrt(9))*1).\nAnswer: -4*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 18*q + 304. Let t(s) = 23*s + 380. Let z(p) = 4*t(p) - 5*u(p). Let b(l) = -3 - 11*l**2 + 10 - l**2. Give z(b(k)).\nAnswer: -24*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*g + 2*g + 36 + 22*g - 85 wrt g.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 985 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 40083.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 41 + 9 = 0. Let j = -4 - r. Suppose -j*a = -5*a - 5. Put 3, a, 1 in ascending order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*l**2*m**3 - 61*b*m**3 - b*m**2 + 6*l**2*m**3 - 34*l**2 - 6*l*m wrt l?\nAnswer: 4*b*m**3 + 12*m**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(sqrt(56)\/sqrt(7)))**2*-4 + (4*sqrt(612)*3)**2)*-4.\nAnswer: -352240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24*w + 1651. Determine o(-64).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 8 = 0. What is the second derivative of 13*v - v + 3*v**5 + h*v**5 + 4*v wrt v?\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88688 is divided by 733?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*((m\/(m*m**(-7)))\/m*m)\/m)\/m*(m\/(m**3\/m)*m)\/m)\/((m*m**(-6)*m)\/(m*m*m**(-2\/7)*m)))**(23\/3))**(-34) assuming m is positive.\nAnswer: m**(-64124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*r = -109*r - 114*r + 40 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266251854 rounded to four dps?\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347195\/32 - 10853. What is the common denominator of -33\/8 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (7 + -1) - -12 - 7 - 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.84424 tonnes to micrograms.\nAnswer: 99844240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-45))\/((-1)\/((-9)\/78)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213392 is divided by 637?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (12\/(-4) + 5)) + 11. Solve i*m - 15 + 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-11 - -3)) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 23*b - 46 + 22)*(0*b - 3*b + 0*b) to l + p*b + w*b**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from gzdffprz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l + 3*m, l - 7*m - 3 = -3*m. Let t be 12\/(-36) + 7\/l. Let v = t + 4. Let c(k) = k**2 - 2*k. Calculate c(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (-2*2*sqrt(104) - sqrt(104))) - (sqrt(104)*2 + sqrt(104))*4)\/(-1*(sqrt(392) + sqrt(392)*-2) + sqrt(392)))**2.\nAnswer: 325\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10510\/(-107202)*1\/10*6.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (-1 + 3 - (-18 + 18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = b - c - 4*c, 2*b - 5*c + 11 = 0. What is the closest to 1\/3 in b, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-624)\/(-117)))\/(4\/48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:43 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -62, 1, -1.\nAnswer: -62, -30, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 17. Let b(m) = m - 7. Let t be b(v). Suppose t = -o + 4 - 1. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 64 = -20. Let d = x + 59. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(104)\/sqrt(4))\/sqrt(2) + 4.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 12 + 8*g + 7*g**2 + 17*g**2. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1615 + 10165 = 2*d. Suppose -d - 1500 = -33*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -95, -133, -209, -335?\n\"Answer: -2*s**3 - s**2 + 5*s - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288)*-5)\/((sqrt(972)*1 - sqrt(972)) + sqrt(972)))\/(-6*(sqrt(1452) - (sqrt(1452) + 2*sqrt(1452))*2 - sqrt(1452))).\nAnswer: 5*sqrt(2)\/1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*s - 36*s - 6464 = 27*s + 38376 for s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301753 by -16.\nAnswer: 301753\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w - 5. Let p be y(-5). Let x = p - -24. Suppose f - 1 = x. Sort 2, -3, f in decreasing order.\nAnswer: f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 34.9. Which is the nearest to y? (a) -1 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/12)\/(4053\/(-252) + 16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6003206267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 7172?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 1440?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 42. Let a be s(23). Let d(p) = p**3 - 3*p**2 - 2*p - 1. Give d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -21120101?\nAnswer: -21120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = u + 5*o, -u - 3*o = 9 - 27. Factor -43*f**3 + 207*f**4 + 194*f**4 - 380*f**4 + u*f + 21*f**2 - 2.\nAnswer: (f - 1)**2*(3*f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.644 + 7.634. What is the second biggest value in d, 1, 24, 0.1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -1. Suppose 3*k - 2 = -s. Is 18 + (-2 - (k + 2)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/5 or -2\/55?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1522320014 + 4?\nAnswer: -1522320010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -44 (b) -12 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - v + 1. Put -2, v, -1 in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26*2\/(-17)*-1 + -3. Let g(s) = s**3 - 5*s**2 - 5*s - 6. Let n be g(6). Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 78734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 2*s**2 - 2*s - 1. Let b(f) = -f**2 + f + 1. Calculate -3*b(o) - h(o).\nAnswer: -2*o**3 + o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 21*d + 32. Give a(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, k: 3}. What is prob of picking 2 b and 2 k?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(2736) - sqrt(2736) - sqrt(2736) - sqrt(2736) - sqrt(2736)) + 1 + (sqrt(2736) - (sqrt(2736) + 0)))**2*3.\nAnswer: 32832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j - 4. Let m be w(-2). Suppose -3*n + 3*g + 0*g = 30, 22 = -3*n + g. Let f = m + n. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44956*g**2 + 89915*g**2 - 44955*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1814 - -171?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 148\/66)\/(-64 - -68).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -25. Let a(c) = c**3 - 5 + c**3 + 3*c**2 + 5*c - 3*c**3. Let s be a(4). Put s, y, -3 in descending order.\nAnswer: s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, j: 2, e: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 2, e: 3, g: 6}. What is prob of picking 1 e, 1 g, and 2 v?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293 - -1698. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 39, -4\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7))**(4\/15) assuming b is positive.\nAnswer: b**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2973 - -0.18.\nAnswer: -2972.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (295\/(-2065))\/(((-15)\/2)\/3)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 4393635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, -3, -6, -0.27?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12230 - 32?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 29 + 31. Sort -4, 3, -1, z in decreasing order.\nAnswer: z, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) + (-3 - (-3 - 1)). Let y be 2\/4 - 1\/(-2). Let f(q) = -q + y + q - w*q. What is f(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, 2, 18754\/25, 0.1 in descending order.\nAnswer: 18754\/25, 14\/3, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 48*y**2 + 178*y - 379. What is c(-44)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614255697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -36532250*j. Let p(w) = 3*w**2. Calculate n(p(q)).\nAnswer: -109596750*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 745 + -665. What is the remainder when 313 is divided by m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 9*g - 36. Let a be p(13). Calculate the highest common factor of 24 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47066 is divided by 114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-117) - (-4392)\/(-13). Let o = n - -449. What is the smallest common multiple of 33 and o?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**5)*x**4)\/((x\/(x*x*x\/x**(4\/7)))\/x**(-3\/2))*(x**(-1))**(-1\/85)*(x**(1\/3))**14 assuming x is positive.\nAnswer: x**(16447\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbt when three letters picked without replacement from {p: 1, d: 1, t: 1, b: 1, q: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 1 - 7. Let d = 0.194 + 0.006. Sort d, m, 0.1 in descending order.\nAnswer: d, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:32 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*i = -3*i + 11, -5*i = 4*s - 17. Suppose 0*w**s - 4*w**2 + 2*w**3 - 4*w + 2*w**3 + 4 + 0*w = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*j = -321 + 276, -4*g - 4*j - 100 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v. Let p(f) = -8*f**2. Determine z(p(n)).\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -353 + -5?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23142 divided by -1218?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 54*o**2 + 565*o + 134. Give p(63).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020757 to 4 decimal places.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4302.5*-75.\nAnswer: 322687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056403648 rounded to five decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 8. Let k be b(7). Suppose -z - 4*g = -g - k, 4*g - 20 = -2*z. Let f be 6*(-1 + (-7)\/(-2)). Solve -m + f = z*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12)**(-2)\/(p**(-8))**(4\/5) assuming p is positive.\nAnswer: p**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 9*j**2 - 63*j - 13. Let a be z(-14). Let y be ((-17)\/(-5) - 1)\/(a\/(-1480)). What is the highest common factor of y and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6514*k - 6514*k + 62*k**2)*(-2*k**2 - 4*k**3 + 11*k**2 + 3*k**3).\nAnswer: -62*k**5 + 558*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*v - 15 = o, -o + 3 = 5*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 8*v**2 - 8*v - 10. Let y be h(-7). Let x be (252\/(-40))\/((-4)\/(-20)). Let g = x - -31. Is y greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1403 divided by 5755\nAnswer: -1403\/5755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 287797.9l in millilitres?\nAnswer: 287797900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(4\/(-3)) - 121\/(-140) and -4 - (0 + (-135)\/25).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.1 - -25. Let f(n) = -n**3 - 2*n**2 + 6*n + 7. Let q be f(-3). Let x = q - -7. Which is the fourth smallest value? (a) j (b) -5 (c) -2\/9 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g + 81. What is v(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14568.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((336\/12)\/14)\/((-2)\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + f - 4. Give k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x**3 - 39*x**2 - 253*x - 14. Is 8 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*2*sqrt(84) + sqrt(84)))\/((3*2*sqrt(108) - sqrt(108))\/sqrt(9)).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0 + 2 - l + 3. Suppose -5 = -2*m + 9. What is the remainder when t(-6) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 12*o + 316 = 0. Let u = -55 - o. Which is smaller: u or 25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8667.129 months?\nAnswer: 72.226075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.69 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-117)\/(-16))\/(-3))\/(30\/20). Let g = d - -9\/8. Which is the closest to 2? (a) g (b) 0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 843*o - 844*o - 2*o**4 + o**2 - 3*o**4 as t*o**4 + c*o + a*o**3 + r + f*o**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyd when three letters picked without replacement from doymn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221 + 197 = 48*a for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 t when four letters picked without replacement from hhhhtthhhthtt.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/33)\/(55 + -58)?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4a1b (base 12) to base 15\nAnswer: -2735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/120 and (-5)\/3 - 185\/(-144).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503*c**2*k**2 + 39*c**2*k + 4*c**2 wrt k.\nAnswer: 1006*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*q - 18 = 0, s + 0*q = q - 6. Let l = 0.1 - 0.3. What is the second smallest value in l, s, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l. Let b(r) = 12*r. Calculate v(b(f)).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 381 + 51*h - 381 + (h + h - h)*(2*h - 2*h + h) + 0*h + 0*h - 2*h**2 to j + u*h + l*h**2 and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 675 = 4*i. Is -0.1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 + 5*u**4\/8 + u**3\/6 - 44*u**2. Let b be t(-18). Suppose s - 12*s + b = 0. Solve -5*n + 0 = -s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5319 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 48\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6331491*r**3 + 14237526*r**2 wrt r.\nAnswer: 37988946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -49, -65, -81?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjujkdjdjnknjjjuj. What is prob of sequence nun?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -20, -2, -14 in ascending order.\nAnswer: -20, -14, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 286701\nAnswer: -114680.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 23*c**2 - 10932*c - 98135. Determine t(-9).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118, -232, -346, -460, -574, -688?\n\"Answer: -114*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 - 183.3. Let b = i - -21. Sort b, 4, -5.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23388 and 285204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*12\/(-30)*(-20)\/(-6). What is the third derivative of 33*r**4 - 21*r**c + 7*r**2 - 13*r**4 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + -2*sqrt(2430))\/(2*sqrt(24)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*f + 22, 6*j - 5*f = j + 35. Factor 4*v + 12*v**3 - 23*v**2 - 81 - 31*v**2 - v**j + 104*v.\nAnswer: -(v - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}