diff --git "a/data/dm_maths/full_data_1/256_11255.jsonl" "b/data/dm_maths/full_data_1/256_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/256_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the dth term of -11727, -11287, -10847?\n\"Answer: 440*d - 12167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqqn when four letters picked without replacement from {n: 2, q: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28.9 in 190, 33, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l, -5*h = -3*l. Suppose -2*k + 8 = -h*k. Let f(t) = t + 0*t - k - t**2 + 4. Give f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/7 - 9*b**2\/7 + 15*b\/7 + 25\/7 = 0. Calculate b.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*q + q - 2 + (1 + 0 - 3)*(q + 2 - 2).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 656 or 657?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9019872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1768 - -1773. What is the fourth smallest value in u, 0.82, 2, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:56 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 545\/3?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y. Let i(n) = -9*n. Give -5*i(q) + 2*s(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + (25375\/(-80))\/35.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -557\/5 + 111. Let w(h) = -h**3 - 7*h**2 - 9*h + 1. Let m be w(-5). Which is the nearest to l? (a) 1\/2 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127359591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-6 + -3 - (-4 + (-4 - -1)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 3. Let k(t) = -t**2 + 9*t - 16. Let b be k(5). Let w be ((-8)\/12)\/(b\/(-90)). Suppose -5*q + w + 10 = 0. Calculate v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*l + 856, l - 378 = 2*z - 94. What is the remainder when 34 is divided by ((-24)\/10)\/((l\/(-60))\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q**8)\/((q**(2\/23)\/q)\/((q**(-1)\/q)\/q)) assuming q is positive.\nAnswer: q**(-71\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 + -58. Let a = x - 115. What is the remainder when 25 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*p = -b - 104*p + 106, 2*b + 2*p = 224. What is the greatest common divisor of 1961 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/19 - 158*x\/19 - 160 = 0.\nAnswer: -16, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Let s(u) = 5*u**2 + 344*u - 3393. What is the smallest common multiple of s(10) and y?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -2*s - 4578, y - 4*s - 1148 = 0. Let f be (-5862)\/4*(-77)\/99. Let u = f - y. Calculate the common denominator of 69\/16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25432 (base 14) to base 7.\nAnswer: -530262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5487 in ascending order.\nAnswer: -5, 1, 5487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a007799 + 2?\nAnswer: -a007797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let f = z - 0. Let o = 4 - f. Sort -0.1, 0.3, o.\nAnswer: -0.1, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 + 9. Let s = 17 - m. Round s to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141085188 by 6.\nAnswer: -23514198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 9*q**2 + 2*q**2 + 13*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 - 29?\nAnswer: -28.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j + 10, -d + 3*j - 12 = 0. Let w(k) = k**3 + 6*k**2 - k - 1. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let n(b) be the first derivative of b - 3 - 1\/2*b**2. What is n(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 57*w + 5428 = 0. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3961 + 3967. Calculate the remainder when 1011 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + u - 390 = 561, 3*u - 1425 = -3*a. Suppose -468 = 2*z - a. Solve -z*x = -2*n - 3*n - 21, 3*n + 10 = 5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 4, -6 in decreasing order.\nAnswer: 5, 4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.316, -1\/5, 0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -15. Let b = 11 - u. Let w = b - 10. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13549 by -17.\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 2.686.\nAnswer: 80.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4 (b) 0.3 (c) 0.69 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-48 + 1) - 57.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17003\/10 - -1703. Calculate the common denominator of 57\/22 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77038180*r**2 - 3743271*r + 9?\nAnswer: -154076360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1339.88 - 1283. Let l = i - 57. Let z = -4.88 + l. What is the second biggest value in -1\/3, 2\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1, f: 3, n: 1, o: 1, u: 5}. Give prob of picking 1 s and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 11. Suppose 0 = c + c. Let v be ((0 + c)\/2)\/(-2). What is the remainder when 31 is divided by d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*(-4)\/(-2). Suppose -142 = -4*h - 3*l, -3*l + l = n*h - 181. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-11370.11.\nAnswer: -113.7011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((11 - 12) + 7)*2\/4. Solve 0*z = -z - 2*g - q, z + g + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30*a**2 + 2*a - 17654. Let c(j) = -3*j. Determine u(c(s)).\nAnswer: -270*s**2 - 6*s - 17654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*q + z - 0*z, z = -3*q + 3. Solve q = x - 0*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6774, 6768, 6762, 6756, 6750?\nAnswer: 6744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 29 = -4. Let x = c + 20. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 8*v = -22, -10*p - 4*v - 8 = -14*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6\/10)\/(-3))\/1. Let z = 2188 + -2188. What is the smallest value in x, 3, -0.7, z?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 8) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + 2.5. What is q rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - b**2 + 4 - 3*b**2. Let n(o) = -11*o + 26. Let c(r) = -11*r + 24. Let x(t) = -2*c(t) + 3*n(t). Let a be x(3). Give y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 5*z**9\/504 + z**5\/15 + 10*z**2. What is the third derivative of l(x) wrt x?\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14375, -8 in descending order.\nAnswer: 14375, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 3278\nAnswer: 4917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(5\/13)\/(b**1*b*b*b**8) assuming b is positive.\nAnswer: b**(-434\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - (-27 - (9 - 25))) + (-27 - -30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 16 = -2*u. Suppose -u*k + 44 = -5*k - 4*z, 5*k - 3*z = -174. Calculate the common denominator of (2\/k + 0)\/(20\/80) and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**2 + 8*j**5 + 12*j**2)*(-5 + 4 + 0) - 2*j**5 + 0*j**2 + 0*j**2 + (0 + 2*j + 0)*(0*j**4 + 3*j**4 - 4*j**4) + (2 + 1 - 4)*(5*j**5 - j**5 - j**5).\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 23. Let l = 94 - a. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*l + 5295 = -2014*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13397 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20988*w + 20988*w - w**2 + 0*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12371 - -0.02371. Which is the nearest to 6? (a) 2\/9 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 878.314\nAnswer: 439.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 3*t - 7. Let l be k(-3). Suppose l*u = -u + 15. Suppose w - 5 = 0, 2*x - 3875 = -x + u*w. Round x to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -940.1 * 3.138\nAnswer: -2950.0338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwxh when four letters picked without replacement from nxxhxnxixhxixwx?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 297*s + 408. Is 69 a factor of f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54 times -6461?\nAnswer: -9949.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 13*o + 15. Does 5 divide -2 - (1 - 21) - o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11741605 is divided by 95.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.933183 to 0 dps.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 3*h + 4. Let a = 10 - -47. Suppose 39 = -a*u + 54*u. Let c = u - -18. Give r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 15 + (-306 - -404)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189\/14432 - -1210697\/10347744. Calculate the common denominator of -73\/15 and l.\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-588)\/(-7) - (-2)\/(1 - -1). Let u be (8\/10)\/(34\/j). Find the third derivative of -9*n**u - 6*n**2 - 18*n**2 + 9*n**2 + 21*n**6 wrt n.\nAnswer: 2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10121 or -10153?\nAnswer: -10153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88.822 - 0.178. Let k = 89.06 + m. Let d = -3 + 2.9. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 29*q + 9*q - 1076 = 1132 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.477 less than 6104?\nAnswer: 6088.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*z - 8 = 0, 0 = 3*u - 7*u - 3*z - 12. Suppose 5*w + 0 + 5 = u. Which is the nearest to -0.5? (a) w (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u - 8. Let y(t) = -1. Let v(c) = 8*c + 200. Let h be v(-26). Calculate h*y(s) + d(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126529561 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6112163156451*z + 6112163156451*z + 5*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 697, 693, 685, 673?\n\"Answer: -2*c**2 + 2*c + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*a*d + 95*a - 2*d wrt d?\nAnswer: 50*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -8303?\nAnswer: -830.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4373*s**2 + 24*s. Let y be w(12). Round y to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 4 (b) 0 (c) -2\/11 (d) -2\/60525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = l + 76, -l - l + 82 = 5*q. Calculate the smallest common multiple of 12 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -78. Solve a*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16959404 divided by 2.\nAnswer: 8479702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - 7 - (-350 + 257)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -765 - 1935. Let b = l + -450. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 638*j**2 - 6*j + 26. Let d(t) = -213*t**2 + 2*t - 9. Let m(o) = 11*d(o) + 4*r(o). What is the second derivative of m(b) wrt b?\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + y + 1 + 4*y - 2*y. What is c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/4 - 5*l**4\/12 + 11*l**3\/6 + l**2\/2 - 10*l - 5. Is 3 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -335*y - 5185. Calculate h(-16).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-13)\/(-3445))\/((-46)\/23)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.61 - 5.81. Sort 0.1, s, -2, 539 in ascending order.\nAnswer: -2, s, 0.1, 539","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:48 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 96*g**2 + 78*g + 1777. Calculate h(97).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/553690 and -87\/16.\nAnswer: 4429520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2271*1193.37.\nAnswer: -2710143.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17329 - 17329. Solve -2*r - 63 + 81 = l for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-11)*y)\/(y**(-2)*y*y*y))\/((y*y**(-7)\/y)\/((y**12\/y)\/y)) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/17, 2, -5, 1\/11 in descending order.\nAnswer: 2, 18\/17, 1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4044 is divided by 433.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 20 - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(0 - (-35)\/20) - -3. Which is the nearest to 1? (a) 0.2 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384689009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6*q - 48 = 0. What is the greatest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - (3 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54536 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -5\/78*i**4 + 0 + 14*i + 0*i**2 + 2\/39*i**3. Find g such that b(g) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4 - 11564*t**3 + 8396736*t**2 - 53976944*t - 3060823808 = 0.\nAnswer: -16, 23, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 4*b**2 - 2*b - 3. Let x(y) = -4*y**3 - 5*y**2 + 2*y + 4. Suppose 5*l + 10*l = 2730. Let h = l - 187. Give h*r(p) - 4*x(p).\nAnswer: p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 + 991*r - 2. Calculate c(33).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-756)\/90*(-25)\/2. Let x = 158 - c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -10709, -85 in ascending order.\nAnswer: -10709, -85, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.502223nm to millimeters.\nAnswer: 0.000005502223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 h when three letters picked without replacement from bxbihhhxbbbbbbbb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g - 58*g = 5*m - 48, m + 2*g = 15 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -51. What is the nearest to -2\/19 in -3, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787613565?\nAnswer: 3, 5, 773, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -108, -166, -224, -282, -340?\n\"Answer: -58*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Suppose 18 = -t*s + 68. Let l(a) = 2*a**3 - 3*a**2 + 4*a + 1. Let q be l(3). Calculate the highest common divisor of q and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 99*h**2 - 18*h + 31. Give j(2).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13 + 8*w**2 - 9*w**2 + 17*w**2 - 5 wrt w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/217 and 29\/28210.\nAnswer: 28210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 9 = 58*m, -5*m = -l + 29. Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 35\/6, 7, -189?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1721*s + s**2 - 917*s - 873*s + 69*s**2 as f*s**2 + q*s + l and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 3, q: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 2*y + 10, 3*t + 2*y - 3 = 5*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 3*z - 462. Let j = z + -45. Put -1, j, 2, -5 in ascending order.\nAnswer: -5, j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**3 + v**2 + v - 1. Let f = 13 + -9. Calculate the remainder when p(1) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 71*l - 6070. Give p(107).\nAnswer: -2218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 8045352.\nAnswer: 64362816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 9, 4 in ascending order.\nAnswer: -12, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, w: 2, x: 2}. What is prob of sequence nwxn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2377 + 2377.000001101. What is c rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12626 and 642.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3965 + -3996. Let l = 0.009 - 43.009. Let z = l - w. Which is greater: z or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 272*f + 68. Give b(-38).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96.967 or -2\/9?\nAnswer: -96.967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.999932 + 28. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-112))\/((-2)\/8). Is -0.3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/58133?\nAnswer: 4\/58133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60466959 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 4:49 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-4)\/10 + (-108)\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w + 4. Let o(j) = 3*j**2 - j. Let v be o(-1). Let g be y(v). Suppose x + 29 - 157 = -s, -x + s + 118 = g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/16 - 1398\/24. Let n = y + 124. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2800 and 2895725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, 0, 4, 3.6 in descending order.\nAnswer: 5, 4, 3.6, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7834 + 5*t - 3*t + 7834. Let j(y) be the first derivative of -y**6\/90 + 3*y**3 + 6. Let d(c) be the third derivative of j(c). Determine d(v(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -820 (base 14) to base 11\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*d**2\/9 - 10954319*d\/9 + 3745080.\nAnswer: -(d + 842643)*(13*d - 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97105, -97092, -97079, -97066, -97053?\nAnswer: -97040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**2 - 90*g + 38. Determine n(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*c - 5 - 22, -3*b + 3*c + 21 = 0. Suppose 5*y - 181 = -2*n, 0 = b*n - 0*y - 2*y - 188. Round n to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/14 + (-30)\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 2404*h - 2404*h - 3*h**2 - 2*h**3)*(2 + 2 - 3).\nAnswer: -h**4 - 2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:21 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-2\/23)*i*i*i)\/i*i*i*i*i**10 assuming i is positive.\nAnswer: i**(393\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgnp when four letters picked without replacement from {l: 1, z: 2, p: 1, g: 1, n: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 449849 (base 10) in base 3?\nAnswer: 211212002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -51, -49?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43689 and -143529?\nAnswer: 187218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -35*i - 905. Calculate k(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = -y + 28, -3*y = 2*h - 71. Calculate the greatest common factor of 1357 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 859*z + 2578\/3.\nAnswer: -(z - 1)*(z + 2578)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153057?\nAnswer: 3, 163, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -357424, -714845, -1072266?\n\"Answer: -357421*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.02.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/7607 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-r**4 - 2*r**4 + 4*r**4) + 0*r**2 + 0*r**2 - r**4 + (-4*r + r + 2*r)*(-4*r**3 + 2*r**3 + 0*r**3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143406 and 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -111\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 50*p + 26. Let s(m) = -m**3 - 6*m**2 + m - 2. Calculate s(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:20 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620 - 625. Put -1\/5, i, 3, 0.8 in descending order.\nAnswer: 3, 0.8, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7592 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**3 + 7*p**3 - 3*p**3 + (3*p - 4*p + 3*p)*(p**2 + 0*p**2 + p**2) + 2*p**3 - 5*p**3 + 4*p**3 - 5*p**3 + p**3 + p**3)*(p - 3*p + 3*p + 12*p**2).\nAnswer: 168*p**5 + 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -36*u - 144. Let l be p(-4). Solve -2*b + 5*f = 7, 10*b - 5*b - 2*f + 7 = l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177954051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + ((-7 - 5) + 5 - -3 - (-5 - 3)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136682 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1093, -4633, -10503, -18679, -29137, -41853, -56803, -73963?\nAnswer: -93309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmbm when four letters picked without replacement from {m: 4, b: 7, w: 5}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*v = 58, 5*o - 102 - 138 = -5*v. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 958890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 100*t = -83. Which is the biggest value? (a) t (b) 18 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fibixty. Give prob of sequence xfb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*k - 431 + 480 = -1960 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 4. Let r be w(5). Is 0 + (130 + r - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 + -1211112?\nAnswer: -2011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-2)\/(1 - 3) - 24). Solve 0 = 2*d - 4*r - 12, 3*r = -4*d + 9*d - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 707956.\nAnswer: -2831824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/(5\/15). Let q(c) = -7*c**3 - 10*c**2 - c + 10. Let k(p) = -p**3 - p**2 + 1. Let z(t) = -6*k(t) + q(t). Determine z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 226530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:17 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 + 1523. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 14.8. Let h = -4.5 - -1. Let p = h - -0.5. Put 3\/7, p, i in increasing order.\nAnswer: p, i, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 46441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/33*(-9504)\/23616.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11119*s + 111205. Determine m(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55892 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 11. Let d be (4\/(-8))\/((-2)\/4). Let a = d + -8. Let p(r) = -22*r - 1. Let z(c) = 5*c - 1. Let q(i) = p(i) + 4*z(i). What is a*q(j) + 3*v(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 2*l**2 - 8*l - 12. Calculate y(5).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-154) + 109\/7. Suppose -w*q = 25 - 85. Find the third derivative of 618*n**4 + 2*n**2 - 618*n**q + 24*n**6 wrt n.\nAnswer: 2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/45*2*15\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 5, r: 9}. What is prob of picking 4 r?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192247 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.08 (b) -2\/5 (c) 18\/265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*q**4 - q - q**4 + 11*q**4 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644377 is divided by 548009.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-30))\/((-12)\/(-8))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 190265*h**2. Let c(j) = j. Determine c(m(s)).\nAnswer: 190265*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-168)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**3 + 0*k + 1\/15*k**5 + 0*k**4 + 0 - 1\/84*k**8 - 2\/105*k**7 + 1\/30*k**6 + 48*k**2. Solve b(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 3*l + 30 = -27, -2*z - 2*l - 18 = 0. Suppose -44 = -6*q - 14. Sort z, -8, q, 3.\nAnswer: z, -8, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - 8 - -1 - 22.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 243100 = 8*w + 4*g, 5*w + 243100 = g. Suppose -3*d = l - 98632, 7*l - 3*l - 394468 = 3*d. Let o = l + w. Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 7*a + 12. Let c be o(-9). What is the remainder when 14 is divided by (-4)\/c + (-20)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-36)\/67770) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2*v)*(-3*v**2 + 0*v**2 + 5*v**2) + 1 - v**3 - 1)*(1 - 9*v**2 - 1).\nAnswer: 45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2975279.3 rounded to the nearest one thousand?\nAnswer: -2975000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/288*(675\/20)\/9.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1\/5, 2\/5, 1\/3, -81666?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 16*v**2 - 317*v + 185. Let f be z(17). Suppose -3*p = -3*d - 9, -5*p - 4*d = -0*p + 30. Is p greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - y**3 + 3*y**3)*(104*y - 11*y - y) + 1 + 2*y**4 - 2*y**4 - 2*y - 2*y**4.\nAnswer: -94*y**4 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 462.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05183 rounded to three dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 260328*r**2 + 8593070*r + 8853396 = 0.\nAnswer: -130197, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 9. Suppose -7*j - 21 = -4*j. Let h be z(j). Suppose h*q = l + 6, l + 17 = 5*q - l. Which is the nearest to -0.08? (a) q (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202022200 (base 3) to base 7.\nAnswer: -202401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1423, -4374, -8859, -14878, -22431, -31518, -42139?\n\"Answer: -767*r**2 - 650*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -97366, 4, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -9 (c) -594 (d) 3\/4 (e) 0 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**4 + 156*v**3 + 828*v**2 - 14812*v = 0.\nAnswer: -23, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 109936 = -4*b, -b = 3*v + 2*b + 109941. Let j be v\/(-33) + 2\/(-3). What is j rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205794?\nAnswer: 2, 3, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 75*j**2 - 74*j + 158. Let t be k(-76). Is t greater than or equal to -1668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 9. Let q(h) = h**2 - 9*h + 10. Let y be q(5). Let c be a(y). What is the tens digit of c\/1 - (-93 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + q + 961 = 22*i, 3*q - 15 = 0. Let z = i + -351. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 + -187.3. Let a = -2.3 - o. Put -5, a, -4 in descending order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3316, 6631, 9946?\n\"Answer: 3315*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose h*a + 20 = 6*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 5685586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1284287 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 5*v + v + (2 - 1 - 2)*(2*v - 1 + 1) - 2*v + 5*v - 2*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14 (b) 1 (c) -4 (d) 1.355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 192*j**3 - 4608*j**2.\nAnswer: -2*j**2*(j + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -29*f**6\/15 - f**4\/6 + 743*f**2\/2 - 354*f + 4. What is the first derivative of b(z) wrt z?\nAnswer: -232*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2 + 3*m + 9. What is the remainder when l(-4) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f + 3. Suppose 4*u = 2 + f. Solve d - 6*w = -2*w - 8, u*d - 2 = 2*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152418 by -3.\nAnswer: 50806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(4\/10)\/((-42)\/15). Which is smaller: x or 1836?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -956 + 501. Let k be f\/21 - 2\/(-3). Is ((-764)\/2)\/((12\/k)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 12*z - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0 - 13\/12*m**4 + 0*m + 35\/6*m**3 + 14*m**2. Differentiate h(y) wrt y.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*w = 47*w - 246. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 791*j**6\/15 - j**5\/10 - 5*j**4\/24 + 131*j**3\/6 - 9*j**2 - 395*j + 2. What is the third derivative of v(q) wrt q?\nAnswer: 37968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2560)\/(-96) - 41 - (-24)\/(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22215078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let l(f) = -f**3 - 3*f + 2. Suppose 3 + 27 = -10*x. Let z(g) = -g**3 + 4*g**3 - 2*g - 4*g**3 + 1 + 0*g**3. Determine i*l(a) + x*z(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243*p*y**4 + p*y**3 + 96029*p - 12996*y**3 - 39*y**2 wrt y.\nAnswer: 5832*p*y + 6*p - 77976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 415528367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 + 11 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 27. Let x = 36.9 + f. What is x rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*s + 2 = -54*s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*o)*(11 + 3 + 4) as u + p*o and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033438 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 1 x when three letters picked without replacement from {x: 1, d: 5, h: 5, c: 1, n: 2, b: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 9:49 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*l + 170*l - 73733 = -20229 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020214041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 26\/5*f**3 - 2\/5*f**4 + 2\/5*f**2 - 26\/5*f = 0. Calculate f.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*2*(-26)\/8. What is the common denominator of (-26)\/(-65) - b\/10 and -1\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4))**(-22)*((h\/(h\/(h**2*h*h))*h)\/h)**31 assuming h is positive.\nAnswer: h**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 776919 in -3\/2, -5.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/2))**(-2\/59)\/(r*r**(-7))**(-2\/23) assuming r is positive.\nAnswer: r**(-915\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65012457 rounded to three dps?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*x - 38 + 12, 2*t = 3*x - 16. Suppose -a = -5*a + x. Let p(d) = -2*d - a + 0 + 0*d + 2*d**2 + 2*d**3 + 0*d. Give p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*g - 1309*g**3 - 218436460*g**2 + 218436460*g**2 + 9 wrt g.\nAnswer: -7854*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 2.2003. What is r rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5, -3*x + 4*s = -0*x - 41. Suppose -412 = 2*c - 6*c. Suppose -2*z + c = 13. What is the greatest common divisor of z and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*l = 86024 - 106943 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 + 3*z**2 + z + 1. Let i(k) = k**3 + k. Calculate -h(p) + 4*i(p).\nAnswer: -2*p**3 - 3*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugjgguugguguuuugjuj. Give prob of picking 1 u, 2 g, and 1 j.\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a**4\/8 + 15723*a**3\/4 - 220819*a**2\/8 - 224099*a\/2 - 122535\/2 = 0. What is a?\nAnswer: -3501, -7\/3, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 divided by 162?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 1236*l - 118598. Give c(152).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406652734*x**2 - 96*x - 386300?\nAnswer: -813305468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005835 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1087405 and 2.\nAnswer: 1.8912595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/19, 1\/143, 0.1, 1\/101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*c + 24*c + 58*c - 2 - 5*c + 0*c + 4*c + 3*c + 0*c - c + (11 - 13 + 9)*(-3 + 2*c + 3) - 3*c - c + c to d + r*c and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34254 divided by -346\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 6 = -6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let r be o(2). Suppose -r*u + 32 = 4*x, u = -u - 5*x + 33. Let f = 3 - u. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -308*(30\/(-4))\/15 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-1044)\/42)\/(-6). What is the nearest to l in 1\/10, -0.5, 1\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 3:34 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 1815*m**3 - 1818*m**3 - 21*m**2 - 2*m**2 - 1 + 1.\nAnswer: -3*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135 - (-4 - -2 - -2). Let h = -947\/7 + p. Which is the closest to h? (a) 3 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33003220121 (base 4) to base 10.\nAnswer: -3947033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*8*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*b = 32, 2*b = 2*q - 4 + 18. Sort q, -5, 5 in increasing order.\nAnswer: q, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 + 5*n**2 - 4*n - 7. Let s(u) = 8*u**3 + 15*u**2 - 12*u - 20. Let a(t) = -4*s(t) + 11*x(t). Let k be a(4). Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0279*3\nAnswer: -0.0837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -43*w**3 - 2*w**2 - 50*w - 47. Determine k(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1563 divided by 5.\nAnswer: 1563\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-15) + 2\/5. Suppose 2*p = t*p - 14. Suppose 3*h - 5*u - 143 = 0, 45 = -5*h + 5*u + 300. Calculate the highest common divisor of h and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 901, 524, -5, -608, -1207?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 16*f**2 - 71*f - 56.\nAnswer: -(f + 1)*(f + 7)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640\/960 - (3 - (-6575)\/(-2805)).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(8)\/sqrt(4)) - (4*(sqrt(7) + 1))**2) + -5.\nAnswer: -133 - 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206589 divided by -7.\nAnswer: 206589\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60797547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/43 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(500)*6 + 5.\nAnswer: -120*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 2}. Give prob of sequence tct.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2 + 1 - 1 + 1. Let n be z(-4). Suppose -2*x = u + 4, n = 4*u + 2*x + 7. What is u rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/8 - 10*i**2 + 4*i - 2. Let u(c) be the first derivative of h(c). Let a(k) = -39*k + 1. Give a(u(l)).\nAnswer: 117*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1121420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5495, 7545, 9595?\n\"Answer: 2050*v + 3445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 566db9 - 2?\nAnswer: 566db7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -8) + (3 - 0) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -114, -157, -200, -249, -310, -389, -492?\n\"Answer: -y**3 + 9*y**2 - 69*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 10563200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53586030 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by -29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggglgglg. What is prob of picking 2 g?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -42. Solve -m + 4 + 7 = -4*j, 3*j + f = -5*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -61*q - 141 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38133 and 684.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-35)\/(-10))*(3 - (-5 - 124)). What is the greatest common divisor of z and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116277 divided by 13.\nAnswer: 1116277\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76490153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:46 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1598 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -513 + 517. Which is the closest to -0.1? (a) -0.1 (b) q (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -18. Let s = -59 + x. Let c = 90 + s. What are the prime factors of c?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.487446 to 1 dp.\nAnswer: -44.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 3316812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1318*l + 11700. Determine q(9).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186249395?\nAnswer: 5, 31, 911, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/11)*a**2*a**(-2)\/a**(-3\/5) assuming a is positive.\nAnswer: a**(23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:49 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.87 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2827 - 2825. Let i(h) = -5*h**3 + h + 1. Let x be i(-1). Let k(u) = -4*u**2 - x*u**c + 4*u**2 + 3*u**2. Let j(n) = n. Calculate j(k(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5125408, 7\/24?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {f: 1, p: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*l - 0*l. Let f be (-4)\/1*l\/4. Suppose x - 7 + 4 = 0. Solve -5*q + b = -3*b + f, q + x*b - 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 + 4*j + 4. Let q(d) = 3*d - 1 + 2 + 2 - 5*d**2. Calculate -3*l(v) + 4*q(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**2 + 93*k - 43. What is v(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/69)\/((-7)\/(1610\/(-20))))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.45 - 19.45. Which is the closest to 3? (a) s (b) 0.06 (c) -0.5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Suppose 4*x + 2*y = -4, 0 = -4*x + d*y + 2 + 4. Put -3, 10, x in descending order.\nAnswer: 10, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*u - 77656 = -81562 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5073936 to the nearest integer?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*p - 3 - 1, 0 = 2*y + p - 20. Suppose 0 = 3*u - y*u + 110. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**6\/150 - 7*c**5\/25 + 11*c**4\/30 + 22*c**3\/5 + 81*c**2\/10 - 1710*c. Solve o(r) = 0.\nAnswer: -1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 443*f**2 + 446*f**2 + 0*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 13 = -5*x. Let w be (-2)\/(-1) - (-6)\/2. Suppose w*a - 2*a = -3*t + 147, a + 206 = 4*t. What is the highest common factor of x and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973021801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118811620, -118811614, -118811606, -118811596, -118811584?\nAnswer: -118811570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 74. Suppose -4*u - 9 = j, 0 = -4*u - d*j - 7 - 7. Let w(a) = 6*a**3 - 2*a**2 - 2*a - 1. What is w(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b + 5. Let m be d(-4). Suppose v = -4*s + 2 + 1, 3*v - s - m = 0. Let k(o) = 2*o**2 + o + 2. Let x be k(-2). Solve -v*r - r = x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -847525 by 4175.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 2}. Give prob of sequence asss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 56*k - 81. Determine x(4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b210a2 + 12?\nAnswer: -b21090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -173. Let g(r) = -r**3 + 3*r + 1. Let t be g(-2). Suppose 0 = -s + t*s - p. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28720 divided by -718\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gucummecuumummgeeee. Give prob of picking 1 u and 1 m.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*s**4 - 34*s**3 + 16*s**2 - 49.\nAnswer: 1104*s - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 3*t**3 - 2*t**3 - t**2. Let x be g(-2). Suppose -d + 1 + 0 = x. Is d smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345\/(-828) - (-4225)\/(-8580).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + (-385)\/14)\/(3\/4). Let t = d - -30. Solve t = 4*l - 2*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369 (base 10) to base 7.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50281 and 14014033?\nAnswer: 98098231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5 + (6 - 4 + 0)*(2 - 3 + 3))*(-11 - 3 + 5)*(-4*j + 4*j - j) to the form v*j + w and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, k: 1, y: 7, w: 2, f: 2}. What is prob of picking 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10187 - 5254. List the prime factors of w.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by -14.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1714.1826 months?\nAnswer: 0.14284855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -1\/3*q**3 + 0 + 0*q**2 + 3*q. Let y(n) be the second derivative of -n**3\/6 + n. Determine y(x(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (438\/(-33))\/(((-54312)\/1606)\/186).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(1 - 1 - o) - 2*o - 2*o + 2*o)*(-7 + 7 - 5*o)*(-4 + 4 - 1).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -70, 25 in decreasing order.\nAnswer: 25, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7075, -7063, -7051, -7039?\nAnswer: -7027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (3*sqrt(539) + -3)**2.\nAnswer: -119*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i + 3. Let q be 3\/((84\/(-8))\/(-7)). Let t be p(q). Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3833010?\nAnswer: 2, 3, 5, 42589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/6 + w**4\/6 - 7*w**3\/6 - w**2\/6 + w = 0. Calculate w.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1220427760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 155, 270, 409, 572, 759?\n\"Answer: 12*g**2 + 55*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4 - 14*a**3 + 150*a**2 + 1134*a + 972 = 0.\nAnswer: -9, -6, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 17*b + 3. Let l be p(17). Solve l = -0*q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3920245351 and -0.23.\nAnswer: 3920245350.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69723984 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 25 + 20. Let g = o - 6. Let y(m) = -m**2 + 9*m + 6. Let v be y(g). What is the greatest common factor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 33906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242641 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/7 - 68164*f**2\/7 + 283423996*f\/7 + 59754599364\/7 = 0 for f.\nAnswer: -201, 8621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*k - 18*k - 2*k**3 - 31*k**2)*(2*k - 2*k + 2*k) + 3*k + k**4 - 3*k as m + l*k**3 + v*k**2 + c*k + b*k**4 and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 15)\/(-3) + 391\/(-85). Which is the third biggest value? (a) z (b) 3 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2 - 7 + 32*s - 16 to the form r*s + y and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/((o**(-1\/3)\/o)\/o))**15)**(1\/9))**(-32) assuming o is positive.\nAnswer: o**(-2080\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16ba99 (base 12) to base 16\nAnswer: -60255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/407681 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 + 3*c**2 - 2*c. Let b be l(1). Solve 0 = 4*x - b - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 18 + 2. Suppose -30 = -2*u + s*r, -25 = -0*u - 3*u + 2*r. Suppose u*l + 15 = 0, o - 3*o - 4*l - 6 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/54 + 4\/(-18). Suppose -3*m = 17 + x. Let l(y) = 172 + 169 + 11*y**3 - 334 - 7*y**2. Let d(q) = 10*q**3 - 6*q**2 + 6. What is m*l(c) + 7*d(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (3 + 5 - (5 - 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -39*h - 129. Which is the nearest to -10? (a) 0 (b) h (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48272 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 14 = 4*f, -2*f + 117 - 25 = 5*h. Suppose -14*n - h = -8*n. Put n, 7, -1 in descending order.\nAnswer: 7, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00225484517 to six decimal places.\nAnswer: 0.002255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 4*c + 1. Let v be p(-4). Suppose 3*u + 5*o = -u + v, -3*o = 3*u - 21. Let r be 3 - (-2)\/(1*-2). Is u < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1848*z**3 + 3694*z**2 + 14788*z + 16.\nAnswer: -2*(z - 4)*(z + 2)*(924*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 3*q**2 + q - 1. Let d be n(-3). Let x be -1*(1\/5 + (-32)\/10). Put 1, x, d in decreasing order.\nAnswer: x, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.5 and -155.484?\nAnswer: -5053.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*h + 28 = h, 3*j - 33 = -3*h. Calculate the lowest common multiple of j and 85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 74 = 3*k. Is (k\/3)\/((-48)\/(-72)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.886, 1\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199394376.\nAnswer: 2, 3, 113, 73523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5763402 is divided by 1029.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 197*a**2 - 108*a - 106. Give g(-1).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (-2 - -1). Suppose h = -6*g + g + 15. Find the second derivative of -4*u - 113 + 113 + 2*u**3 - 4*u**g wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31707 + -29709. Calculate the lowest common multiple of 1110 and j.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 45 = 6*u. Suppose 0 = -277*f + 287*f - 20. Calculate the lowest common multiple of u and 36 + 0 + (-7 - f).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/174 and -31\/377.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 = -3*t, 4*f - 3*f + t = 24. Calculate the remainder when 56 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474423 (base 8) in base 13?\nAnswer: -1b0537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 74, 139, 188, 197, 142, -1, -256?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65635374?\nAnswer: 2, 3, 7, 199, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 2, -3*u = -3*t + 846. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230212 + -112?\nAnswer: 230100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 775\/310*8\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28870, -57743, -86616, -115489?\n\"Answer: -28873*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3151330 and 3151330?\nAnswer: 3151330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5424 - 1?\nAnswer: 5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741264 is divided by 748250?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151000000 = 4*o + o. What is o rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.496569094 less than -0.05432?\nAnswer: -40.550889094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25998759 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*i, -7*i - 3*y + 7 = -12*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -321? (a) 0 (b) -5 (c) 2549 (d) -1\/9 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 5) to base 9\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-100) + (-678)\/(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q + 5*q + 40*q + 48*q - 202*q + 73*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 592, 588, 584, 580?\n\"Answer: -4*n + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4*h**6\/h)**32)**(-10\/9) assuming h is positive.\nAnswer: h**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 12) to base 14\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120280243.\nAnswer: 5147, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 95.9953. Round f to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {m: 1, j: 4, b: 5, h: 4, t: 1, a: 3}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1810 + -1806. Solve w*t = 4*m - 4, -t - 5*m - 4 - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1855 times 0.1\nAnswer: 185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 11*a**2 - 12*a - 2. Let j(c) = 3*c - 79. Let t be j(28). Suppose -2*r - 7 = -5*y, 0 = t*r - 4*y - 25. Does 41 divide q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3. Let v(f) = 91 + f - 4*f**3 + f**2 - 91. Let w(s) = -s**3 - 2*s**2 - s + 1. Let m be w(-2). Suppose m*i - 5 = 2*i. Give i*y(o) + v(o).\nAnswer: o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let o(y) = 2772474*y**2. Determine o(t(j)).\nAnswer: 2772474*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -0.6. Let h = 172\/3 + -58. Which is the closest to h? (a) -2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/7)*l)**27\/(l**(-8\/5)\/((l\/(l**(-16\/3)*l))\/l)) assuming l is positive.\nAnswer: l**(9533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14836\/28 + (-2)\/(-14). Suppose 0 = -4*m + 2*c + h, 5*m = -c + 6*c + 665. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/4)*8\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -81 - 191. Let w = -53 - z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 320*r - 15690. What is i(49)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x + 4*c - 3*c, 5*c = 20. Solve x = -0*j + 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6720 + 52*r + 8*r + 6720)*(-2*r**3 + 5*r - 5*r) as h*r**4 + c*r**3 + a*r + i*r**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 7*g. Let a(v) = -2 + 7*v + 2 + 1 + 3*v**2 + 0. Let y(q) = -3*a(q) - 4*k(q). Calculate y(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17381333.81452 take away 0.068?\nAnswer: -17381333.88252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 228 in increasing order.\nAnswer: -1, 2, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(1 - 4) - -7. Suppose m - 2*n = 5*m - 6, 5*m - 4*n - 40 = 0. Suppose c - t*v - 14 = -3*v, -m = -4*v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.13665 - 0.13665. Which is the closest to 54? (a) p (b) -3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006243 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.7. Which is the nearest to 0.3? (a) 3 (b) h (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/5*(-10)\/(-4). Suppose 3*k - f*h = 18, -k + h + 7 - 1 = 0. Let g(p) = -p**3 + 8*p**2 - 8*p - 3. Is 9 a factor of g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4 - 36) + -499 + 503.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*r + 1734 - 707 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 6 - 4*g**4 - g**2 - 5*g**4 + 2*g**4 + 6*g**4 in the form s + u*g**3 + w*g**4 + h*g + z*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 3. Let d(u) = 4*u + 1. Give 3*a(o) - 5*d(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 5 = -3*u + 2*w, 27*u - 46*u + 12*w - 94 = -21*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 27)*(-1)\/2. Suppose -4*b + 3 = -t - 9, 5*t + b = 3. Suppose t = 2*s - c - k, 8 + 8 = -s + 5*c. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*v**3*y + o*v**2*y - 2*o*v*y + 2*o*y - 2*o + 50*v**4*y wrt v.\nAnswer: 12*o*v*y + 2*o*y + 600*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaggaahaahhhaha. What is prob of sequence gh?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 + 25*s - 25*s + (4*s - 2*s - 3*s)*(s + 1 - 1) to the form a*s**2 + p*s + c and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 2*i**2 + 3*i + 17. Let y(b) = 2*b**3 - 2*b**2 + 4*b + 16. Calculate 2*y(h) - 3*z(h).\nAnswer: -2*h**3 + 2*h**2 - h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*l - 4*l = -8, -10 = -4*x - 5*l. Suppose -3*t + 22 + 9 = r, x = -2*t - r + 19. Let v = 15 - t. Solve -8*b = -v*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365*k**5 - 35*k**4 + 265*k**3 - 3255*k - 1190 wrt k.\nAnswer: 7300*k**3 - 420*k**2 + 1590*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73834 is divided by 355?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 27*x - 6. What is the lowest common multiple of 156 and h(-14)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmvsssssssssss. Give prob of picking 2 s and 1 v.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 0.5, 4, 0.023, 0, 11 in ascending order.\nAnswer: 0, 0.023, 1\/19, 0.5, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117384372 to the power of 1\/2, to the nearest integer?\nAnswer: 64167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331 - 85 + 368)*((4 + 1 - 3)*(0*k + 3*k - k) - 2*k + 1 - 1 + 3*k - 4*k + 0*k).\nAnswer: 614*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -56, -126, -234, -386?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 8 = -d - 4*a, -5*d - 2 = 3*a - r*a. Let o = 17009\/305946 + -2\/50991. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (11 - 14) - (4 + -4)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3532*f**4 + 3*f**5 - 8*f**5 - 3522*f**4 - 8*f**4 + 8*f**4 + 6*f**5 + ((-2*f + 2*f - 2*f)*(2*f**3 + f - f) - 2*f**4 + 1 - 1)*(2*f - 4*f + f).\nAnswer: 7*f**5 + 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**4 + s**3 - s**2 + s + 1. Let z(m) = -2*m**4 + 2*m**3 - 4*m + 1. Let h(y) = 5*p(y) + 5*z(y). Suppose h(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and -107\/18480.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -18, 0.1 in decreasing order.\nAnswer: 0.1, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 255556621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49704 divided by -57?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/15 + -10 - 8\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - 4 - -30 - (0 + 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 5 = 2*s. Let b(t) = -6*t**3 + t**2 - 1. Let i be b(s). Suppose i*f - 224 + 8 = 0. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -568*v + 77. Is q(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 75, 77, 79, 81?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-15 - -11) + (6 - 2) + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5792633 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 162 + 148. Suppose 0 = -5*u - 2*l + 6, -4*l = -u - l - 9. Suppose 2*v = -u*v + 22. What is the remainder when v is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*q - 1589 = 0, -5*s + 1374 = -3*q + 4022. Round s to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88422 + 88422 + 41*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.24 - 0.16. Let n = l + 2.5. Let g = 4.9 + n. Put g, 1\/4, -4 in decreasing order.\nAnswer: g, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m - 502. Determine s(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 22*j**2 - 21*j - 6. Let u be w(21). Let t(z) = -4*z - 23. Let m be t(u). Is -2\/53 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0 + 10. Let z(k) = -k + 0 + a - 3*k + 4*k**2. Let v be z(2). Which is smaller: 11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 780.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4864 - 4880. Put f, 2\/3, 2\/11, -0.05, 5 in descending order.\nAnswer: 5, 2\/3, 2\/11, -0.05, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*h - 1305, -14*q + 9*q = -2*h + 525. Let u = h - 240. Let s = 16 - 9. What is the remainder when u is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*r + 184 = 2*r, u - 88 = 5*r. Suppose -2*g + u = -22. Suppose -g = 5*c - 105. What is the lowest common multiple of c and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:10 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 45*y**2 + 161*y + 40. Let o be u(-18). Solve g + 4*d = -50 + o, 5*d - 10 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2499064)\/48*(-2)\/(-6). Let n = x - -17349. What is the common denominator of 3\/68 and n?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 divided by -1157.\nAnswer: 139\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16683 + -16584. What is the remainder when 786 is divided by x?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + h + 14. Let c(d) = -2934*d**2 - 1793*d - 25102. Calculate 2*c(j) + 3586*v(j).\nAnswer: 1304*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -2. Let p = -5 + 20. Suppose -p = -5*h - 5*y, -h + y + c = h. Solve 2*o + 2 = h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.77727 times -0.4?\nAnswer: -46.710908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1368 - 1343. What is the remainder when 1647 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2008 - 873. Let o = z + -1117. Let n = 3 + 1. Which is the smallest value? (a) n (b) 4\/3 (c) -0.1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3209888147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*l - 2313*l + 1153*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 14 + 187 + -173.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1675214 greater than or equal to -1675215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-450)*-10 - 3424\/(-90)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 - 3*q**3\/2 - 9*q**2\/2 - q + 7. Suppose -2*t + 7 = 21. Let x be w(t). Solve c - x = -1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.4 - -18. Which is the nearest to 1\/4? (a) -2 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-16) + (-5306)\/(-7056). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15475 (base 11) to base 13\nAnswer: -9c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 86.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56632 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - z**2 - 8 + 5 + 2*z + 3*z**4 as p*z + t*z**2 + x + q*z**3 + k*z**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Is (2 - 0)\/i*7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3304 + 0?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-52)\/24)\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 - 1. Let k be x(6). Let i be (k - 4)*9\/(-15). What is the first derivative of i*j**4 - 4*j**4 - 2*j**4 - j**4 + 4 wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -3062860\nAnswer: -2\/765715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 18. Does 10 divide (1 - 0)*(-56)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-25)\/20*(-10)\/25*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3*t + 0*t)*((-2*t + 3 - 3)*(3 - 3 + 2*t) + t**2 + 0*t**2 + t**2 - 10 - 11*t**2 + 10) to the form g*t + k*t**3 + o + h*t**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 35*t + 31. Let w be k(17). Let j = w + -189. What is the greatest common factor of j and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 231 = -w, -3*w + 383 = 5*q + 2. What is the remainder when 543 is divided by q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 124*i**2 - 40*i - 47. Give k(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (118\/(-130) + 1)*(-150)\/60. Which is the closest to -1? (a) 2\/9 (b) s (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1731*n - 84843. Calculate b(-49).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 69925692?\nAnswer: -69925710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 182 = 1318. What is the greatest common factor of v and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 112656.729\nAnswer: 22531.3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 118. Suppose 347*s + 980 = -4866 - 2135. Determine p(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let l(h) = -325*h + 3. Determine n(l(w)).\nAnswer: 211250*w**2 - 3900*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -87 - (-13 + 32 + -51)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*x**3 + 24*x**3 + 3*x - 41 + 34*x**3 - 7 - 18 wrt x.\nAnswer: 516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291297461 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 43*z + 5\/6*z**3 + 112\/15*z**6 + 0*z**5 + 0*z**4 + 0*z**2 + 0. Find the second derivative of q(g) wrt g.\nAnswer: 2688*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, -85, -6?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9 = x. Let a = 2 + x. What is the units digit of a + 1 - (-11 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28889 (base 16) to base 15\nAnswer: 342d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49654980*g**2 + 41324302*g.\nAnswer: 99309960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25047 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*w = -29, 0 = -t + 3*w - 2*w - 8. Let p = 58\/5 + t. Let k = -0.3 + 0.1. Which is the third smallest value? (a) p (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from bbszbxbznbzxxbbnbsxx?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1576\/392 + -4). Is q smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 393263\/12 - 32763. Let r = -6\/107 - -874\/321. Find the common denominator of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21253032 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 5*x**3\/3 + 3*x**2 - 5. Let c(v) = -v**2 - v. Let q(m) = 6*c(m) + r(m). Let w(f) = 6 - 6 + 2*f**2. What is q(w(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/168 - a**7\/210 - 5*a**4\/12 + a**3\/3 - 2*a**2 + 10. Find the second derivative of f(c) wrt c.\nAnswer: 40*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234184\/13 - 18014. Which is the second smallest value? (a) 686 (b) 0 (c) 3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w - 244. Let l be k(-22). Suppose -5*u - 4 - 11 = -5*j, 14 = -4*u + 5*j. Which is the closest to l? (a) 3\/8 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6702628589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 202 = -h + 287, -5*h = -g + 239. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 - (0 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(13 + -14 - (1 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165468481 to the power of 1\/3, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244653*p**3 - 14327*p**2 - 5*p + 2 wrt p?\nAnswer: 1467918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7164\/756 - 9)*21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(36\/5)*c))**18 assuming c is positive.\nAnswer: c**(-648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a. Suppose -r - 2 = -a*r. Let h(o) = -2*o**3 - 5*o**2 - 2*o + 4. Let i(j) = -j**2 - j + 1. Let l(t) = -h(t) + 2*i(t). Determine l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(6\/72*3)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3\/4, 27?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379 + -577. Let w be 110\/4 + (t\/12)\/11. Let u = 11 - -14. Are w and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10 - 153\/(-45). Suppose -y - 4*j - 5 = -0, q*y = -5*j + 13. Calculate the smallest common multiple of y and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:25 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1127 + 2216*n**2 - 1127 - 519*n**2)*(-18*n + 34 - 34) as m*n + o + a*n**3 + v*n**2 and give a.\nAnswer: -30546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1742 (base 9) to base 15.\nAnswer: 5de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9222, -18464, -27730, -37032, -46382, -55792, -65274?\nAnswer: -74840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 32*d + 1743 = 5*x, 0 = 3*x + 5*d - 1073. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 310*a**4 - 4430*a**3 - 49000*a**2 + 1146875*a - 1093750 = 0. What is a?\nAnswer: -14, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, -18, -101, -210, -339, -482?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u*v**5 + 1651*u*v + 98*v**5 - v**3 wrt v.\nAnswer: -60*u*v**3 + 1960*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, -6, 833, -4 in descending order.\nAnswer: 833, 4, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 1884. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olyjzzy. What is prob of sequence jyyo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000262405 to seven dps.\nAnswer: 0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 3. Suppose -h = -3 - 2. Suppose 15 - h = -2*n. Give u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133421\/17330 + -2\/1733. Find the common denominator of 6431\/(-10620) + 12\/(-10) and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvnn when four letters picked without replacement from {n: 3, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 8 + 6. Suppose 25 = 8*a - 15. Solve -z - 2*l = -a*z - 2, -2*l - 4 = k*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10 and 27\/2560.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 14*d**2 - 18*d - 12. What is n(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13368, -12994, -12362, -11466, -10300, -8858, -7134, -5122?\nAnswer: -2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37554481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 446978252 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53779685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -3. Let z be (1 - 3)\/4 + 1. Let b = -4 - -4.1. What is the nearest to b in v, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 954*o**2 + 146286*o - 7288758.\nAnswer: 2*(o - 219)*(o - 129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1192264\/35 - -34068. Let b = z - 19\/7. What is the nearest to -0.1 in 1, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -63707, -1 in increasing order.\nAnswer: -63707, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 equal to -206616\/1207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498791 is divided by 741.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 7285913214 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-2*y + 3*y + 0*y) + 0 + 0 + 4*y + (-2 + 5 - 4)*(-2*y + 2*y + 2*y) + (-5 + 2 + 4)*(-3 + 3 - y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1) - (9\/(-36))\/(6\/(-136)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40064475.6 to the nearest 100000.\nAnswer: -40100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25)\/((-3)\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198 + 2528 = 70*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**8\/48 - 5*s**4\/24 - 6*s**2. Find the second derivative of p(g) wrt g.\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3605644883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0264*-0.16\nAnswer: -0.004224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 214.00804 - 1.\nAnswer: 213.00804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1860.2, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 6*s. Let k(h) = -7*h**3 - 2*h**2 + 13*h + 12. Let q be k(4). Let f = q + 422. Solve -f = 5*m - s*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*m**4\/5 + 738*m**3\/5 + 124*m**2 - 392*m\/5 + 48\/5 = 0. Calculate m.\nAnswer: -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from {h: 6, z: 6, g: 4, q: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 137*f + 825. Let w be p(-6). Let y(j) = 3*j + 2*j**2 + 3*j - 4*j**2 - 6. Let v be y(w). Let h(o) = -o - 6. What is h(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902*w = -888*w. Let x = -1 + 1. Solve 2*r + w + 6 = x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 4, j: 2, d: 1, g: 2}. What is prob of picking 1 d, 1 j, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9901319 is divided by 100.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21320 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 - 268.941. What is the third biggest value in -5, o, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 97 + m**3 + 126*m + 33 to the form z*m**2 + r*m**3 + y + j*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/7 - 12*n**2\/7 + 6*n\/7 + 20\/7 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330470708 a multiple of 2949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-10)\/(-3) - 3). Suppose -l*u + u = -228. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 443, 1614, 3541, 6224?\n\"Answer: 378*p**2 + 37*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5233768947 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327231 rounded to 4 decimal places?\nAnswer: 0.0327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k + 10. Let n be -16 + -1 + 2 + k. Suppose -8*o + 12*o = -68. Does o = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/95?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c + 6. Let q = -13 + 13. Let b be n(q). What is the first derivative of -9*l**3 - 14*l**3 + b + 2*l**2 - 2*l**2 wrt l?\nAnswer: -69*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -348 - -351. Calculate the greatest common divisor of q and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.7 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + -3 + (-1 + sqrt(147) + sqrt(147))*-2 + 1.\nAnswer: -28*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:24 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 20*l**2 - 10 + 2*l - 4*l)*(-2 + 3 + 1) to the form k + h*l + r*l**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by 117\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 16544751.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -613 + 613.00333. Round y to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4260)\/(-26) - (108\/(-26) - -4). Suppose -6*w + c - 434 = 0. Is -43 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321 + 321.04. Is -31 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/117 and -21\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 128*y - 11*y**2 - 75*y - 64*y - 13 + y**3. Determine a(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10361 - -10367. Let b(t) = 13*t - 83. Give b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 15. Let f be m(-10). Let w = -10096\/9 + 1122. Which is the nearest to 0? (a) -0.3 (b) 2\/17 (c) w (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2800 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.13, -5\/2, 7.746, -1.1 in decreasing order.\nAnswer: 7.746, 3, 0.13, -1.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + r = -10, -4*t + 10 = r - 4. Let d(x) = 9*x**2 - 4*x + 12. Calculate the least common multiple of d(t) and 18.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23533092?\nAnswer: 2, 3, 11, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 25 - 57. Let o be (5\/1)\/(2\/b). Solve 3*m = 8*m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)\/m*m*m\/m**(1\/4)*m**(-2\/7)\/(m\/(m*m**(-6))) assuming m is positive.\nAnswer: m**(-155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)\/l*l*l)**(-1\/18)\/(l**35)**(-10\/17))**47 assuming l is positive.\nAnswer: l**(300095\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + -6 - -34 - 65) + 13 + -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6790 + 6788.693. What is f rounded to 2 dps?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1*(-6 - -4). Suppose 2*r - 12 + j = 0. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 7. What is r(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let p(w) be the first derivative of 0*w - 10 - 7\/2*w**2. Calculate j(p(g)).\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11347285*0.02\nAnswer: -226945.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 764*q - 161*q - 402*q + 0.\nAnswer: -1327*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*g - g + 16, 4*g + 8 = j. Suppose -j - 4 = 4*t. Let l = t - -4. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let p(l) = 4*l - 59. Let g be p(16). Suppose 40*x - 36*x - 38 = -3*y, -x = 3*y - g. Calculate the remainder when x is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 3, 2, -4\/9, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -c - 19 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*i*(((i*i**(-2\/5)\/i*i)\/i*i)\/i)\/i)\/((i*i**(5\/3))\/(i*i**6*i)) assuming i is positive.\nAnswer: i**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 525, 789, 1053?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + sqrt(17) + 1 - (sqrt(85)\/sqrt(5) + -1)**2.\nAnswer: -17 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - (0 + 1)) - (39 - 22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/9))\/o)\/o*o**22 assuming o is positive.\nAnswer: o**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let d(q) = -190*q - 55. Let w(p) = 2 + 1 - 5 - 2*p - 5*p. Let r(z) = 4*d(z) - 110*w(z). Determine o(r(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/63 in -57, 5, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 29 = 5*h - 10*h, 0 = -3*b - 3*h + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1539) + 3 + -2 + (sqrt(1539) + sqrt(1539) + 0 + 4 - (-1 + sqrt(1539))*6))*5*6)**2*-6.\nAnswer: -8964000 + 1069200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.267335 litres in millilitres?\nAnswer: 9267.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 24*j - 21*j - 5*n, 3*n = -12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -19.\nAnswer: 356\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -83, -361, -881, -1721, -2959, -4673?\nAnswer: -6941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24639403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, -2, 0 in increasing order.\nAnswer: -61, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45254, 45250, 45266, 45320, 45430?\n\"Answer: 3*q**3 - 8*q**2 - q + 45260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 308\/(-10) - 12\/60. Let n = 13 + h. Let r = 10 - n. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -1058, -1587, -2116, -2645, -3174?\nAnswer: -3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19487435 to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/336 and 99\/40.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 35 = 0. What is the remainder when 17 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37376561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 87, 265, 607, 1167, 1999, 3157?\nAnswer: 4695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((17\/(-2))\/17).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -469*b**4 - 2*b**3 - 21603 wrt b?\nAnswer: -1876*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 9*b - 7. Let t be n(10). Suppose -2*k = -5*y - 671, -5*y = 3*k - t*y - 959. List the prime factors of k.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4188 and 84?\nAnswer: 29316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 3780 - 11448 = 0. Calculate the remainder when 1981 is divided by u.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4\/4 + 165*f**3\/4 - 1485*f**2\/4 + 675*f\/4 + 10125\/2 = 0.\nAnswer: -3, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063145 + -18093.\nAnswer: -18093.063145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 217711073 times -0.2\nAnswer: -43542214.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:39 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 1832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 6*n + 9. Let i be a(-6). Let y = 15 + i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 1, x: 3, z: 1, u: 1, n: 1, i: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30176634 - 3212562 = 493*p - 29184191. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:27 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426439 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:42 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723047513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1019 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7694049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 40. Suppose 5 = -2*p + 5*c - 18, 5*c = 5*p + s. Solve u + 1 = -p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*50\/(-225)*-81.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + ((-116)\/6 - (-7)\/21). Let d be 12\/a*-3*2. Let g be ((-2)\/(-3))\/(2\/15). Sort -5, g, d.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*l + 70 - 57, -29 = -5*l + 9*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152844 = 180*f - 389*f. What is the smallest common multiple of 2 and f?\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -4\/5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2\/3, -0.2 in decreasing order.\nAnswer: 2\/3, -0.2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350294503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2040 + 2038. What is the second biggest value in v, -1.388, 3\/7?\nAnswer: -1.388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/70 - (-1 + 654\/36)) + 4\/6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**3\/6 - 6*p + 20. Let h(w) = 3*w. Let j(i) = -2*i. Let l(a) = -3*h(a) - 4*j(a). What is x(l(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = f + 27, -f = -3*z + 11 + 6. What is the common denominator of 11\/36 and ((-283)\/(-40) - 5) + f?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 1068, 1747, 2506, 3333?\nAnswer: 4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5447698 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcccbbbbbbccbcbcbcbc. Give prob of picking 2 b and 1 c.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4566 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*p - 3*p. Let c be 5\/(-20) - (-706)\/p. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37646 (base 9) in base 11?\nAnswer: 18023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.74 + -1.6892. Round l to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 4 (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6220, -6218, -6216, -6214, -6212, -6210?\nAnswer: -6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q - 94832 = -97913 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 353, 809, 1479, 2381, 3533, 4953?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 28796*d**3 - 57584*d**2.\nAnswer: -2*d**2*(d + 2)*(d + 14396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/((-30)\/(-100))*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, -6, 0.2, -0.8, -11, -5\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 h when three letters picked without replacement from hqpuuuhubphu?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1771, -5999, -12683, -21823, -33419?\n\"Answer: -1228*b**2 - 544*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 + 2)*(-4 - q + 4 + 4*q - 3*q + 0*q + (-1 + 1 - 2)*(0*q + 2*q - q) + 0 + 4*q + 0).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.878 - 0.87787498. What is k rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53828029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-24)*(1 + 2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315799998, -315800000, -315800002, -315800004, -315800006?\nAnswer: -315800008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 8125800?\nAnswer: 8125787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -2, 27, 0.\nAnswer: -38, -2, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-248*j**4 + 2*j**5 - 75*j**4 + 86*j**4).\nAnswer: -2*j**5 + 237*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+157.27381\nAnswer: 157.20381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211884*r = 105912*r + 105939*r - 2145 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuueueeuuuee?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -834143*s. Let f(v) = 89*v. Determine f(j(r)).\nAnswer: -74238727*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1303781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6 - c - 2*c**3 - 3*c + c**3 - c**3 + 3*c**2. Let n(x) = x**2 - x - 1. Let f(z) = i(z) - 4*n(z). Does 5 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1181294, 1180900, 1180506?\nAnswer: 1180112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7783?\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152e2 (base 16) to base 2.\nAnswer: -10101001011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/(sqrt(9) + sqrt(324)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121430252 + -121430130.999923. Let r = z + -121. What is r rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -47, -45, -43, -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73814 = -4*h + 1586006. Let s = 108489 + 6556. Let y = s + h. What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 9*v**2 - v - 12. Let p be o(-9). Let d = 6 + p. Suppose -4*w + 2*w - 28 = -d*s, 0 = -w - 5. Calculate the highest common factor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:05 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7179 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 75 + 75. Suppose 2*u - 6*u - l = -80, -2*u + l + 34 = w. Differentiate -48*n + u*n + 21*n + 32 with respect to n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 2*i**2 - i - 13. Is q(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (0 + 1 + 1)*(-1 - 1 + 3))*(40*v**2 - 40*v**2 + 24*v**3).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroroorrrr. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose 0 = -5*u + u + 8. Suppose -5*r = 3*o + 25, 4*o = 2*r - u - 14. What is the smallest value in r, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 107. Suppose 4*o + x = 5*o. Suppose 3*s + o = 4*p, -2*s - 3*s - 41 = -2*p. Solve -z = 3*z + p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*y - 14, 4*y - y = w - 6. Calculate the least common multiple of 216 + (-2 - -2) + 4 and (44\/w)\/((-24)\/72).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -867027 + -6?\nAnswer: -867034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/7)*h)*h**(-3)*h)**(-39) assuming h is positive.\nAnswer: h**(468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -40*n - 119 - 0. Let v(a) = 4 + 12 - 5*a**3 - a**3. Let y(s) = s**3 - 3. Determine n*v(c) - 16*y(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v + 100*v + 25*v - 7 - 16*v - v**2 to the form q*v + i*v**2 + t and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -56*q + 36. Is 25 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 65*b**4\/24 - 68*b**3\/3 + 61*b**2. Is 25 a factor of c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 3*x + 2. Let i be y(-3). Sort 0, i, -4 in descending order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10761815.\nAnswer: 5, 23, 93581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -564 by 175.\nAnswer: -564\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8757.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.7579ms in minutes?\nAnswer: 0.008945965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1150810222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 32*j - 12. Solve -o - 2*o + 10 = 4*v, -4 = 4*v - j*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -20*w**3 - 11*w**2 + 23*w - 17. Let p be (-17)\/(2 + (-2)\/2). Let l(f) = -7*f**3 - 4*f**2 + 8*f - 6. Suppose 11*n = 18*n - 42. Give n*u(i) + p*l(i).\nAnswer: -i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*17.4845.\nAnswer: -3.4969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u**2 + u + 1. Let x be m(-1). Let o = x - -24. Calculate the lowest common multiple of 10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.5309 litres in millilitres?\nAnswer: 595530.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1001001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z = -5*g + 3*g. Suppose 112 = -3*s - 4*b, -3*s + 2*b = -g*b + 124. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14898 is divided by 515.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -122\/3. Let y = -453.3 - -453. Let x = -6 - -2. Which is the closest to q? (a) x (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, -6, -41, -102, -195, -326, -501?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.011 - 3.069. Let s = u + 3. What is s rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13203\/2925 - 3 - 4 - 8\/52. Suppose 0 = 2*p - 5*q + 26, -3*p - 5*q - 21 = -8*q. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.9556 + 62.78. Let b = 0.1304 - j. Round b to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from kskwspkwhk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -96a438?\nAnswer: -96a43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose 0 = -0*n + 4*n + w, r = -n + w - 5. Let u = -0.27 - -0.07. What is the closest to n in -5, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -21*x**3 - x**2 - 5*x - 26. Let y be k(-6). Is 1\/(y\/(-1128) + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853546?\nAnswer: 2, 426773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 718, 1781, 3250, 5125, 7406?\n\"Answer: 203*f**2 + 48*f - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 0.3, -23, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -25*s - 57. Let b(z) = -2*z + 14. Determine -9*b(h) - 2*i(h).\nAnswer: 68*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -48411 + (0 - (-5 - 6)). Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**3 - 2*i**3 + 3*i**3)*(-15 + 24 - 20) - 4*i**3 - i**3 + 4*i**3)*(-i**2 + i**2 - i**2).\nAnswer: 23*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24300, -23640, -22540, -21000, -19020?\n\"Answer: 220*w**2 - 24520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 381*v + 11. Let q(z) = -572*z - 17. Give 8*c(d) + 5*q(d).\nAnswer: 188*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 3177 in descending order.\nAnswer: 3177, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -103. Suppose -7*o + 14*o = -q. Is (-413 + -2)\/o - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t**2 - 191*t + 209. Give l(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41152 divided by -24.\nAnswer: -5144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000014630101 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 2*k**3 + 0*k**3 - 3*k**3 - 2*k**4 + k to g*k**3 + h*k**2 + b*k**4 + j*k + z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 16. What is the lowest common multiple of 4*((-8)\/(-2) - (-3 - -3)) and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -636161.\nAnswer: 3\/636161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a**2 - 56 + 20 - 2*a**2. Let v(j) = -17*j + 9. Let n(g) = -4*g + 2. Let p(r) = 9*n(r) - 2*v(r). Give z(p(i)).\nAnswer: -8*i**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:24 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose -5*i = -4*i - 17. Solve -12 = -4*g + u*l, 3*g + 3*l = -i - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*s - 5 + 5.\nAnswer: -668*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7065425 kilograms in nanograms?\nAnswer: 706542500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 - 8*g**3 - 3*g - 2*g**3 wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 6:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*q + 3, -3*z + 5*q = 8. Let p = 0 + z. Let c = p - 3. What is the highest common factor of c and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19557*s + 932 - 942 - 19634*s.\nAnswer: -77*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tea when three letters picked without replacement from {a: 4, e: 1, t: 1, s: 5}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let k = 18\/13 - -1\/65. Let n = k + -6\/5. Sort n, u, -1\/5 in increasing order.\nAnswer: -1\/5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.981959um in nanometers?\nAnswer: 6981.959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let x(s) = -2*s + 2. Let m(k) = -2. Let u(y) = -2*m(y) - 2*x(y). What is q(u(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 34*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 - 32*r**2 + 5*r - 20. Let m be v(8). Solve -5*d - 5*h = m, 5*d = -0*h + 3*h - 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((120\/9)\/(-5))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 262334129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)\/u)**(-19))**(2\/31)*(u*u\/(u**(1\/8)\/u)*(u*u\/u**1*u)\/u*u)**(-19) assuming u is positive.\nAnswer: u**(-23123\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-966)\/9)\/(((-520)\/(-6))\/(-4)). Let s = f + -7\/130. Find the common denominator of s and 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 47*k - 53. Let y be d(5). Let t = 184 - y. Solve -t = 2*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 959091 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/16, -1\/4, -10243, -2\/9, 1\/6, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5689726*r = 5688814*r - 61104 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 362, 0.094, 51?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let r(h) = 3*h. Let b(t) = 4*t - 2 - 3 + 5. Let o(n) = 5*b(n) - 7*r(n). What is a(o(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p + 37. Let f(d) = 25*d - 44. Let c(b) = 5*f(b) + 6*t(b). Let j(o) = 21*o - 46*o + 24*o. Give j(c(y)).\nAnswer: 19*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let u(c) = 17*c**3 + 6*c + 1. Give u(q) + 6*x(q).\nAnswer: 17*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*g - 4*t, t = 41*g - 36*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.02 (c) 3 (d) -2 (e) 106\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times 11.47?\nAnswer: -481.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 128. Suppose o = -0*o - 2. Which is the smallest value? (a) t (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 - 3*x**2)*((1 - 2 - 1)*(2*x + x - 5*x) - 50 + 50 - 15*x).\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - t + 4 = -2*t, 5*t + 20 = 0. Solve -5*b = -4*m + 4 - 41, y = -4*m - 2*b - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 0, -4*g + 8 = 4*t + t. Suppose -5*n = -5, t*y + 3*y = 4*n - 394. Let m = 72 - y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -9*r + 84. Suppose 3*c + 2 = -4*k + 7, -4*c - 10 = -3*k. Suppose 71 = 3*m - 5*v, -2*m - k*v + 43 = m. What is the remainder when m is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9115430470 to the nearest one million.\nAnswer: 9115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 70*w = 70*w - 3347148. What are the prime factors of w?\nAnswer: 39847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f - 3. Let v(a) = -16*a + 24. Let r be v(4). Let n = -38 - r. What is the third smallest value in n, 0.03, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - 5*q + 3. Let a(n) be the second derivative of -1\/20*n**5 - 4*n + 1\/6*n**3 - 1\/2*n**2 + 0*n**4 + 0. Determine -5*a(z) - o(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-106)\/(-11) + (39 - 51) and -37\/219?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.2 and 1.98.\nAnswer: 39.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 + 14.73. Let z = -14 + q. Sort 1\/3, -4\/7, z.\nAnswer: -4\/7, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66026 = 3*a - p + 3*p, 3*a = -4*p - 66028. Let y = -109616\/5 - a. Let j = y + -909\/10. Calculate the common denominator of j and -41\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:34 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in -1\/2, -0.4, 5, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 7391851.9.\nAnswer: 7391851.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) 11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(300) - 1*sqrt(300)) + 5 + -1 + sqrt(300) + 3 - (1*sqrt(300) + sqrt(300) + 4 + 1 + 1*sqrt(300) + sqrt(300) + sqrt(300))) + 5)**2.\nAnswer: -480*sqrt(3) + 4836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + 3. Suppose 0 = -12*j + 143 - 47. Let g(c) = -3*c**3 + j - 31*c**2 - c**3 + 5*c**3 + 22*c**2. Calculate -8*b(d) + 3*g(d).\nAnswer: 3*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*s - 39, -2*s = -2*z + 5 - 1. Let f = z + -5. Solve f*b + b = 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-42)\/9*3. Let s be -4*5\/u*-5. Solve a = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169341 (base 16) to base 15\nAnswer: -1e3579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let k = -15 - -25. Let p(o) = o**3 - 9*o**2 - 10*o + 3. Let u be p(k). What is the biggest value in -2\/7, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -1100000110101001011?\nAnswer: 1100000110101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -3 (c) -22 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 34 = -18. Let b = -92 + h. Calculate the common denominator of -27\/16 and 2 - (-475)\/28 - b\/140.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3462)\/(-138) - 25) + (-12)\/69.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + -2 + sqrt(27)\/(sqrt(9) - sqrt(36)) - -1*(1*sqrt(243) + sqrt(3)).\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 2629.\nAnswer: -5258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 9*a + 45 - 66 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a - 4. Is c(-10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-374) - 189\/(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3893\/2 - -1984. Let v = -14 - -480. Let z = -9321\/20 + v. What is the common denominator of k and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 25 = 0. Let p be 4 + -3 - (x + 0). What is the common denominator of (-31)\/(-20) - p\/10 and -91\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose w*q + 5 + 7 = 5*a, 3*q - 6 = -a. Suppose -5*m = 4*s - 106, a*m = 7*m - 5*s - 52. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2197572, 8790282, 19778132, 35161122, 54939252, 79112522?\n\"Answer: 2197570*y**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2078 = -4*z - 0*z, 0 = -3*j + 4*z + 3137. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 31*f + 122 + 18*f + 11*f to the form r*f + h and give h.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/21 + (-3)\/(-12)*1 and 127\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803157 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 4*p**2 - p + 1. Let v be s(5). Suppose -5*a - 65 = -5*t, 3*t - 5*a - 8 - v = 0. Calculate the least common multiple of t and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 23*n - 59. Calculate o(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + i + 0*i + i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32881\/18 + -1826. Let c = -1\/579 + -2873\/12738. Find the common denominator of i and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 - 3.1. Suppose -5*y + 3*y = 2. Let g = -2 + 3. Sort y, f, g in decreasing order.\nAnswer: g, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*((-2*z**2 - 5*z**2 + 6*z**2)*(-5*z**3 + 3*z**3 + z**3) + 2*z**5 + 4*z**4 - 4*z**4 + (-2*z**2 - 2*z**2 + 5*z**2)*(-262 + 262 - 4*z**3)).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.03617ms to seconds.\nAnswer: 0.02003617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2)\/(1 + 0). Let g = -2073.8 - -2074. What is the nearest to v in -0.1, g, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/(-12))\/(((-495)\/150)\/33)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/42 + 334\/(-14)*-2. Calculate the least common multiple of (2*(-3)\/24)\/((-4)\/b) and 0 - (3 + -2) - -37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 12625395.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6041516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65b0 (base 12) in base 6?\nAnswer: 123540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*w + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1292, -1281, -1254, -1205, -1128, -1017, -866?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 125053316, 125053315, 125053314?\n\"Answer: -w + 125053317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.7 - 59. Let v = l + 2.2. What is the closest to v in 2\/13, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335432?\nAnswer: 2, 23, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**6\/40 - b**5\/20 + 15*b**2 - 2*b + 13. Let j(z) be the second derivative of g(z). Factor j(r).\nAnswer: 3*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642397 is divided by 1884?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 95262 - 122151 = -20*r. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 2*r - 4, -3*o - r = -9. Let z(m) = -2*m - 2*m + 4*m - o*m. Let k(u) = 2*u**2. Give z(k(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -73*h - 8559. What is p(-117)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/11, 2, -3\/8, 0.07, 0.044?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/3*(-14)\/(-3). Let m = 1638 - 1632. Suppose 98 - c = m*i. What is the lowest common multiple of i and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346007 less than -546467?\nAnswer: -892474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b**2 + 7*b + 59. Calculate g(-6).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*a**2 - 124778708*a + 9982296.\nAnswer: 4*(a - 1247787)*(25*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86419914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103389076 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(1088) + -3 + -5)**2.\nAnswer: -96*sqrt(17) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 483\/112 + (-42)\/6 - 12\/8 and 23\/416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 35*t**2 - 38*t - 502. What is the remainder when k(25) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 227 = 1142. Let i = g + 305. Are i and -38\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9806 + 0?\nAnswer: 9806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 115*r + 1468. What is o(38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -491 + 493. Find m, given that 261*m + 1482*m**r - 27*m**4 - 1928*m**2 - 1828*m**2 - 1866*m + 519*m**3 + 600 - 615*m = 0.\nAnswer: -1, 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)\/((j\/(j*((j*(j*j**(-5\/6))\/j)\/j)\/j*j)*j)\/j)*j*j**(-9)*j*j**8)**(-16\/11) assuming j is positive.\nAnswer: j**(808\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1610 and 243966520.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19449772 divided by 124\nAnswer: -156853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.66685 milliseconds?\nAnswer: 3666850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Let w(a) = 2*a**2 - j*a**2 + 2*a**2 + 0*a**2. Let y(n) be the first derivative of n**2\/2 + 1. Determine w(y(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 2}. What is prob of sequence glg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703 and 1272?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -s + 8 - 11, -o = 2*s - 1. Solve 11 = 5*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240474?\nAnswer: 2, 620237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -651 - -1424. Let l = 781 - k. Solve -4*m - l = -3*t + 14, -5*t - 2*m = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 + 81 = 3*i, -243 = 13*v - 5*i. Put v, 2, -271 in decreasing order.\nAnswer: 2, v, -271","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66507609073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 3183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13320 divided by 4.\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-35*w + 16*w**3 + 35*w).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f**2 + 22*f**3 - 13028*f + 13028*f + 12*f**3 + 19*f**2 as z*f**2 + b + q*f**3 + x*f and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12364679, -24729411, -37094143, -49458875, -61823607?\n\"Answer: -12364732*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11*(0 - (3 + 1 + -3)). Suppose -m*o = -6*o - 210. What is the remainder when 207 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-171)\/(8 + -17). Solve -j + 5*v - y = 0, -3*v - 2 = -5*j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -6, 7, 0, 5, -1 in descending order.\nAnswer: 7, 5, 4, 0, -1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 496 = 28*b. Let s = 199 + b. Which is bigger: -52 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -16. Let t = z - 13. Solve 16 = 4*o, -5*x = 4*o - t - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -7)*(-2)\/10. Suppose -3*s - 7 + g = 0. Let r = 0.06 + -3.06. Which is the biggest value? (a) r (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 355*o - 1408. Let i be h(5). What is the second biggest value in -2, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323036 divided by -332\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*a, -f = a - 0 - 3. Let c = 31217 + -31214. Determine z, given that 8\/3 + 4\/3*z**4 + 4\/3*z - 4*z**f - 4\/3*z**c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 - r**4\/3 + 4*r**3\/3 + 2*r**2 - r. Suppose 3*f = 2*f + 22. Suppose 6*w = -8 - f. Calculate z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 70 (c) 2\/7 (d) 98 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + (sqrt(304) - (sqrt(304) + -1)))*-2*-3)**2.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -5. Solve j = 3*p - 3, -u = -3*j - 6*p + 3*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 2, l: 1, c: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 1, b: 3, l: 3, r: 1, c: 1, g: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -89*0.01.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + i)*(2*i + 2 - 2) - 5*i**2 + 2*i**2 + 2*i**2 - 2*i - 2*i**2 + 2*i - 2*i**2 - 3*i**2 - 3 + 2 to the form w*i + r*i**2 + a and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 11*d - 265. Let m = d + 91. Let f be -1 - -2 - (-260 + -5). Calculate the greatest common divisor of f and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-6)\/4 + (21 - 19)). Sort 0, 4, t, 3, 18 in descending order.\nAnswer: 18, 4, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 361*g**2 + 5*g - 5. Let f be v(1). Suppose -1101 + 1215 = 6*w. What is the greatest common factor of f and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20182820 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -252675?\nAnswer: 5\/10107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801181 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -216*r + 1509. Let f be v(7). Let s(b) = b**2 - b. Let u(y) = y**2 - 4*y - 2. Determine f*s(i) + u(i).\nAnswer: -2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - 12da?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 16*f + 35. Let w be b(-18). Let n = -0.5 + 0.3. Let t = -0.2 - -0.7. What is the third biggest value in t, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 84.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35536*p**3 - 15761 wrt p.\nAnswer: -106608*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*g**2 - 34851254 + 34851254.\nAnswer: -576*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4 - 5)*(22*c**2 + 3*c**3 - 22*c**2).\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = -6. Let n be (-18)\/9*(-5)\/t. Solve y + 3 + 0 = -c, y - 9 = n*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(3\/23))*y*y)\/y)\/y**(2\/5))\/((y**16*y)\/(y*y*y**(2\/43))) assuming y is positive.\nAnswer: y**(-71623\/4945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -90. Let l = i + 49. Suppose 1327 = 5*v + 5*k - 928, -l*k = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 + 17 = 0. Suppose -3*q = -b*q. Let t be 32\/(-30) - 8\/(-12). Are q and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w + 16 = 0. Suppose -2*f + 6 = f. Suppose f*a + 3 = 5. Calculate the greatest common divisor of a and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3188*i - 3. Let l(q) = 2*q. What is l(o(d))?\nAnswer: -6376*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11358879 and 786?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -668548.02622217 - -668273.02622. Let n = 275 + a. What is n rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 4200*p**4 - 1115028*p**3 + 6577216*p**2 - 9826128*p + 4359744 = 0. Calculate p.\nAnswer: 1, 4, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335901.\nAnswer: 1129, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 7, p: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*f - 104 = 0, 54*h - 8 = 53*h + 4*f. Solve 0 = -18*o + h*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-12)\/((-3)\/(-1)). Let m(g) = g**2 + 9*g + 15. What is the smallest common multiple of 1 and m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -242, -842, -1832, -3212, -4982?\n\"Answer: -195*r**2 - 15*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6666 and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-50)\/((-6)\/(-3)))\/(-1). Suppose -4 - 2 = 2*q, -f = -2*m + 3*q. Suppose 7*k - m = 3*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + o**2 - 4*o + 3. Determine j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18945331 - 3?\nAnswer: 18945328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1824 = -3*u - 4*k, -3*u = -2*k - 461 - 1345. List the prime factors of u.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 1\/10 (c) -69 (d) -39\/4 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-2 - -2 - -3). Let c(i) be the third derivative of -1\/48*i**4 + 0*i + 1\/120*i**5 + 0*i**3 + 0 - w*i**2. Factor c(q).\nAnswer: q*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 0.42. Sort l, 0, -2\/3 in decreasing order.\nAnswer: 0, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 not equal to 423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3253, -4, 5 in increasing order.\nAnswer: -3253, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**3 - 2*c**2 - c + 1. Give r(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/90 and -2\/18585.\nAnswer: 37170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 17*z + 11*z - 127 + (5 - 5 - 2)*(-3*z + 8*z + 2*z) in the form o*z + w and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292928.799966 + -292928. Let l = h + -0.8. What is l rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 13. Let o be t(11). What is the third derivative of -2*m**o + 5*m**5 - m**5 - 10*m**5 - 3*m**2 wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 18, 41, 0.03, 0.2 in descending order.\nAnswer: 41, 18, 0.3, 0.2, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6679 + 6685. Let p(j) = 3*j - 7 - 1 + 15. Let d(m) = -m. Let o(r) = 5*d(r) + p(r). What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 1)*(-2 + 4 + 2)*(-5303*y - 5900*y + 10700*y).\nAnswer: 2012*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -34. Let a(l) = l**3 + 6*l - 1 + 7 - 4*l**2 - 2*l**3. Is 21 a factor of a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvbuubvuiuuv. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46345.977*2.\nAnswer: 92691.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 104*u + 2. Let v be f(-1). Let x = v + 98. Sort 3, -3, 0, x.\nAnswer: x, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 19 = 4*h, 0 = n - 5*h + 19 - 2. Which is the third biggest value? (a) 4\/7 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30\/83, -4\/13, 1\/3, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, 1\/3, -4\/13, -30\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -72. Suppose 5*d + 21 = -4, j*w = -4*d + 9360. Suppose -r - 5*o = -719, -3*o - 954 = -4*r + w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 29*j - 24*j + 5*d, 3*d = -2*j + 16. Let k be (0 - 3\/(-66))\/(4\/j). Put -4\/3, k, -3\/5, -3 in ascending order.\nAnswer: -3, -4\/3, -3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p - 5*y = 124, 0 = 5*p - 2*y + 122. Suppose 0 = 3*j + 5*g + 48, -5*j - g - 15 - 65 = 0. Let s = j - p. Solve -2*x = -s - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-412 + 598 - 591)*(1 - 4 + 2)*(1 + 4 - 4)*(u + 4*u - 3*u)*(-1 + 2 - 3) as m*u + a and give m.\nAnswer: -1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2\/2 + 9*p + 5. Let t = -10 + 21. What is the units digit of b(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13714 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - (-36)\/(-28). Let y = 35\/6 + -263\/42. What is the nearest to m in 2, -4\/5, y?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429886 is divided by 617.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18844, -51494, -84144, -116794?\n\"Answer: -32650*m + 13806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 1, 2\/11, -0.11, 0?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2698, -3502, -4326, -5170, -6034?\nAnswer: -6918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9500, 9502, 9504?\n\"Answer: 2*g + 9498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 5. Let x be v(-6). Let w = 13 + x. Let a be w\/4 + 2\/(-2). Solve 14 = -2*m + a*p, -p = -3*m - 0*p - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 87. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312.791 - -313. Let g be ((-19)\/(-114) - 281\/30) + (-180)\/(-20). Sort g, s, -0.4 in ascending order.\nAnswer: -0.4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/815 and 6\/27475.\nAnswer: 4478425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203\/2 - 101. Let h(d) be the first derivative of -3 + 0*d + a*d**2 + 1\/3*d**3. Find the second derivative of h(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120085067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 3. Let b(g) = 560 + 569 - 1692 + 570 + g + 7*g**2 + 3*g**2. What is -2*b(i) + 5*t(i)?\nAnswer: 5*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:15 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*x = -13, 3*t + 0*t + 4*x - 31 = 0. What is the highest common divisor of 36 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93151 divided by 239?\nAnswer: 93151\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.82?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -962, -980, -996, -1010, -1022, -1032, -1040?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f + 0 + 0)*(3 - 7 + 2) + (-25*f - 36*f - 37*f)*(-5 + 4 + 0))*(4*f - 2*f - 4*f).\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14818840 divided by 1.\nAnswer: 14818840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = b + 2*n - 9, 4*b = n - 9. Let o = 5 - 3. Suppose -o*k - 7 = 3*q + 10, -4*q + 5*k - 15 = 0. Sort -4, q, b in increasing order.\nAnswer: q, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -569*q. Let x(b) = -1137*b + 1. Let t(l) = 7*w(l) - 3*x(l). Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 17, 89, 83 in descending order.\nAnswer: 89, 83, 17, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3, -2\/7, -6212, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**4 + 3*h**5 - 10*h**4 + 3*h**2 - 2*h**3 + (2*h**3 + 2*h**3 - 2*h**3)*(h**2 + 2*h**2 - 2*h**2).\nAnswer: 5*h**5 - 2*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 24\/7, 4, -2\/5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*z + 2 = 0, 2*z - 1 = 3*r + 4*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 16*x + 145 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -t, 0*t = 5*j - 4*t. Solve 2*i + 4 = j*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 499632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**3 - 4*y**3 - 12*y**3)*(9 - 4 - 7 - 22*y).\nAnswer: 550*y**4 + 50*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241528 is divided by 41384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.61 + -0.39. Let t = 17.6 + l. Let j(i) = -i**3 + 3*i**2 - 4*i + 2. Let s be j(2). What is the closest to 1 in t, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4*t**4 + 2*t**4 + 3*t**4) + t - t**4 - t + t**4 - 2 - 2*t**4 + 3.\nAnswer: -3*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839665864.\nAnswer: 2, 37, 709, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 44*n + 272 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.1003429 to two decimal places.\nAnswer: -125.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-4 + 3 - (-54 - -52)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(-252)\/(-8). What is the second derivative of k*q + 3*q**3 - 5*q - 11*q wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 e when three letters picked without replacement from occcookeocc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:37 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22525735 and 101840.\nAnswer: 6365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.3 - 0.4. Round s to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 431 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.475 + -0.395. Which is the second smallest value? (a) r (b) 2\/17 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + r + 8, 0 = 4*c + 3*r + 8 + 6. Suppose 2*d = 2 + 4. Suppose -2*s = -2*o - 6*s, o = d*s. Put 3, c, o in ascending order.\nAnswer: c, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 take away 2?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4727 = 50*x + 113*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 13*k + 21. Suppose -678 + 666 = -3*l. What is m(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r - 2. Let f(q) be the first derivative of -q**3 + 9*q**2\/2 + 9*q + 3. Let j(g) = -4*f(g) - 18*m(g). Let x(b) = 5*b**2. What is j(x(w))?\nAnswer: -150*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 1\/2*o**2 + 47\/6*o.\nAnswer: (o + 15)*(3*o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, 14, 108, 292, 596, 1050, 1684, 2528?\n\"Answer: 5*c**3 - c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*a + 210 = -271*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(190))\/sqrt(10).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - -3. Let l = -0.4 + m. Let d = -0.2995 - l. Round d to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039029443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3468 and -77\/5732.\nAnswer: 4969644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213613097 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by (23 + 7)*(-2 + (-19)\/(-5)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 - 32 = 0. Suppose h*p + 4*p = 8*p. Suppose p = m - 3*m + 270. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, f: 6}. What is prob of sequence fjf?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.6. Let y = -110605 - -110604.400045. Let n = o - y. What is n rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7352000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/5 - (-12)\/(-20). Suppose -3*r - 4 - 2 = k. What is the smallest common multiple of r\/9 + (-224)\/(-36) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(-2*sqrt(9)))**2 + (sqrt(24)\/(sqrt(24)\/sqrt(4)))\/sqrt(2) + -2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, -515, -2054, -5067, -10046?\n\"Answer: -82*c**3 + c**2 + 14*c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 11\/(33\/18). Solve 2*y + 12 = 5*j, 2*j - 5*j + c*y = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23332023013 - 0?\nAnswer: -23332023013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.25 - 6.15. Let f = 22\/3 - 47\/6. Which is the fourth biggest value? (a) -1 (b) f (c) -4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 0. Let f = i - 2. Let c be (16\/(1 + 3))\/(-2). What is the third biggest value in 0.3, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8799 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9287 - 34900?\nAnswer: -44187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, q: 3}. What is prob of picking 1 q and 3 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1\/1 + (-8)\/32\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((sqrt(605) + -1)*-2 - (sqrt(605) + -1)*-6)**2.\nAnswer: -352*sqrt(5) + 9699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 7*v - 7. Let f be a(5). Solve 5*c - 23 - 7 = -5*h, -f*c = 4*h - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) 0.1 (c) 0.22 (d) 4\/5 (e) 79 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-72) + -1*(62\/150 + 370\/(-4625))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.26870464 + -11.8687051. Let l = f - -3.6. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 3. Suppose 0 = -5*m - 4*q + 14, 0 = -2*m - 4*q - w + 8. Suppose -m*k + 262 = 4*a, -4*a = -k - 39 - 232. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 6\/(-18)*((-2 - 39) + 5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 3566*p - 10720. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2 (b) -120 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156025*r**2\/6 + 790*r\/3 - 2\/3.\nAnswer: -(395*r - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-1\/3)))**(4\/19)\/((l*l\/(l\/l**8))\/l*l*l**(1\/2)*l)*(((l*l*(l**(1\/6)\/l)\/l)\/l)**0)**(-2\/11) assuming l is positive.\nAnswer: l**(-1205\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -15*g**2\/2 + 2*g - 1. Let q(x) = 231*x - 10. Let p(y) = -184*y + 8. Let h(m) = -5*p(m) - 4*q(m). Give s(h(t)).\nAnswer: 60*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8 = 237. Let i = -34 - k. Is (-368)\/(-3) - (-5)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13080495, 26160991, 39241485, 52321977, 65402467, 78482955?\n\"Answer: -c**2 + 13080499*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9093 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.6.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 15. Let v be (4*-2)\/(1\/(-2)). Suppose y = 5*y - v. Calculate the highest common factor of g and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = q + 13, 4*u = -4*q + 12. Suppose 913*w = 909*w + 8. Which is the second biggest value? (a) -8 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3060074t in kilograms?\nAnswer: 306.0074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110014 (base 5) in base 6?\nAnswer: -25223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.3 + 68. Let d = n + -34.7. Let s = d - -29. Which is the biggest value? (a) -3\/8 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5 - 11*h**4\/2 + 5*h**3\/4 + 5*h**2 - 13*h\/4 + 1\/2 = 0?\nAnswer: -1, 1\/4, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 - 188.1. Sort y, -5, 14 in increasing order.\nAnswer: -5, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 35, 12, -13, -40, -69, -100?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 41. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 8. Let j be l(-2). Let a(h) = -25*h - 17. Let i be a(-1). Solve j*p - 2*p = i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -332031211?\nAnswer: 332031212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 13*m + 927. Let c(i) = i**2 - 5*i - 310. Calculate -8*c(b) - 3*s(b).\nAnswer: b**2 + b - 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 2*v**3 + 0*v**3)*(-2 + 0 + 5)*(3 - 3 + 1).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/24 - 1\/(-2). Let x(w) be the first derivative of 2 + m*w - 1\/2*w**2. Let o(s) = 2*s**2. Determine x(o(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 31. Let x be -2 - (50 - (-3 - u)). Let a = x - -53. Solve -2*g + 5*n + 8 = 0, 11 = 2*g - a*n + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24343313, -24343286, -24343245, -24343184, -24343097, -24342978, -24342821, -24342620?\n\"Answer: p**3 + p**2 + 17*p - 24343332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 1 + 1)*(466 - 11*b - 466) to the form v + w*b**2 + y*b and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 139*g**2 + 24171*g - 2492. Determine s(-174).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29510 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4834611*l**5 + 568948*l wrt l.\nAnswer: 96692220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 + 3*l**2 + 5*l**2 - 3*l**2 - 3*l**2 + (-2 - 1 + 5)*(l**2 + 3*l**2 - 3*l**2) + l**2 + 0*l**2 + 9*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/2 - 1093*j**3\/2 + 300295*j**2\/2 - 891075*j\/2 = 0.\nAnswer: 0, 3, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 6*w)*(-3 + w + 3) - 4 - w**2 + 4 + w**2 + 4*w - 4*w + 2594*w**2 + 759*w - 374*w - 385*w + 938*w**2.\nAnswer: 3530*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 110.5?\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*j + 143*j - 69. Let d be 1 + -6 + -4 - -2. Suppose 4*c + 15 = -5. Put d, j, c in increasing order.\nAnswer: d, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-52) - 2\/(-26)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 - 9 = 0, 0 = -4*k - r + 321. Suppose -k = -q - 4*v, -28 = -q + 3*v + 31. Suppose -4*b + q = 3*f, -3*b - 34 = -2*f - 0*f. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/(-22) - 2\/(-4). Let a(m) = -2*m - 6. Let z be (1 + 3 + -3)*-4. Let i be a(z). Solve i*y + 3*t - 22 = 0, 8*t = -l*y + 3*t + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-432)\/684)\/((-18)\/(-2736)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*t + t - 33 = 0, 4*m - 24 = t. Suppose 0 = n + j - m, 2*n = 6*n + 5*j - 23. What is the units digit of (-6)\/(-4)*n\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1679 = -29*d + 34*d, 0 = -5*p - 2*d + 8314. Calculate the remainder when p is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58530, 233967, 526350, 935673, 1461930, 2105115, 2865222?\nAnswer: 3742245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -0*v - 210. What is the highest common factor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-41)*(w**(-39)*w)\/w*w**(-15)\/w**(-33))**(-5\/2) assuming w is positive.\nAnswer: w**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-874944742)\/(-112) - 9\/(-24). Let k be (-1)\/(-12) + o\/(-84). Round k to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2596, -16, 57, 0.5 in decreasing order.\nAnswer: 57, 0.5, -16, -2596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i + 3*i**4 + 28*i**2 + 17 - 29*i**2 + 145 - 2*i**4 in the form g*i**2 + b*i**4 + q*i**3 + m*i + s and give s.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 42, 75, 134, 225, 354?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3384 and 83472?\nAnswer: 250416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*y + 103*y - 33854967 = -149*y. Is y a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) -3589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 - u**3 + 5*u**2\/2 + 16*u. Let k be j(1). Suppose -4*n + 4 = k, 0*n - 159 = -3*v - 3*n. Does 26 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 86, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -45. What is the least common multiple of 28 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3408, 3406, 3404, 3402?\n\"Answer: -2*j + 3410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 86*v + v**3 + 8*v**2 - 14 - 6*v**3 - 140*v + 28*v + 14*v. Let s(r) = 3*r**3 - 5*r**2 + 8*r + 9. Give -5*m(l) - 8*s(l).\nAnswer: l**3 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.009, -26, 2\/13, 2, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 13*k + 41. Let s be x(-7). What is the nearest to s in -2, -3\/11, -5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 803, 804, 805, 806, 807, 808?\n\"Answer: c + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 17*f**2 - 10*f - 10. Let p(j) = 16*j**2 - 8*j - 8. Let d(y) = 5*p(y) - 4*r(y). Let g(a) = 6*a**2. What is d(g(s))?\nAnswer: 432*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691*u**4 - 4*u**3 + u**2 - u - 126481 wrt u?\nAnswer: 8292*u**2 - 24*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -8 + 17 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41451134 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 4*f + 11*f**2 + 2*f**3 - 6*f**2 + 12 - f**3. Is s(-6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-180074)\/(-28) - (-108)\/(-504)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 - 2*t + 29. What is o(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 758*k - 6. Let v(d) = -760*d + 7. Calculate -6*v(c) - 7*x(c).\nAnswer: -746*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-104) + 10 + 385\/(-44)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let t(b) = 620*b**2 - 5*b - 5. Let n(h) = 313*h**2 - 3*h - 3. Let w(s) = 5*n(s) - 3*t(s). What is q(w(z))?\nAnswer: -590*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -196, -177, -132, -55, 60, 219, 428?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Suppose 2*h + 8 = 0, -6*h - 36 = -5*s - 2*h. Let k be q(s). Factor 6*f**2 - 5*f - 4*f**4 + 9*f**k - 5*f - 21*f**2.\nAnswer: 5*f*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 3*x. Let v be 58\/16 + -5 - (-12)\/32. Let j be -1*1*(-1 + v - 1). What is f(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.96 * -4.8.\nAnswer: 43.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.62, 1293\/7, 19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 3*i + 65. Let y be v(-7). Let n(c) = -c**2 - 23*c - 73. Let f be n(y). Calculate the highest common divisor of f and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4116*w + 19. Let a be q(-2). Suppose 4*p + p + 2*i = a, -p + 5*i = -1634. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose 2*k + 0*k + 3*m - 32 = j, k = -4*m + 16. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 5*t, -3*t = -2*u + 7*u - 104. Suppose u = -25*a + 6*a. Put 4\/5, -3\/8, a, -3 in decreasing order.\nAnswer: 4\/5, -3\/8, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 99*k**2 - 360*k + 348 = 0 for k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3016698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 36. Let j be 2 + 0 - (-3 + 3). Let s(l) = l**j + b*l - 3*l. Let x(i) = -7*i. Determine s(x(y)).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 + 2*i. Let q(t) be the second derivative of 3\/10*t**5 + 0*t**2 - 3*t - 11\/6*t**3 + 0 - 11\/12*t**4. Give 11*f(u) + 2*q(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 9*y + 11. Let s be p(-8). Is 116 - (7\/s + -3)*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27708.94 rounded to the nearest ten?\nAnswer: 27710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 - 12*x + 9. Let z be v(5). Let u be 506\/(-6)*9\/279. Let d = u - -12\/31. Are d and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t + 4*s, -s = t - 1 - 0. Solve 3*a - 5 = c - 3, -c + 2*a = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 10*x - 7\/6*x**4 + 0*x**2 - x**3 + 7. Let q(d) be the first derivative of b(d). What is o in q(o) = 0?\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**15*x\/((((x**(-2\/13)\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2 + 3\/(5 - 692\/152)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7594, -5428, -3252, -1060, 1154?\nAnswer: 3396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/110*25 - -5*(-85)\/(-25).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2675 + 17789 = 257*u - 2619. What is the highest common divisor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(12\/327) - (-2)\/4. Let i(h) = -h**3 + 15*h**2 + 18*h - 14. Let l be i(16). Let z = l + -7. Calculate the greatest common factor of u and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3748499, -7497113, -11245727, -14994341?\n\"Answer: -3748614*q + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2517248066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 728 = m + 193, 2*v - 366 = -2*m. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*i**2 - 39*i**2 + 13*i**2 + (4 - 4 - 2*i)*(i + i + 0*i) + 3*i**2 - 6*i**2 + 4*i**2.\nAnswer: -97*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/24 - a**3\/6 + 5*a**2. Let n(i) = -14*i - 2. Let m(z) = n(z) - 3*v(z). List the prime factors of m(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 26, 41, 56, 71, 86?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*r + 41, 0 = -3*w + 5*w - 2*r + 38. Let q be -2 - w\/12*3. Solve 2*u = 4 - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 52*z - 34. What is the tens digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 19215?\nAnswer: 19215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(512)*1)\/((sqrt(4) - sqrt(36)\/sqrt(225)) + sqrt(4))*3)**2*-1.\nAnswer: -12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z**7\/21 + 2*z**6\/15 - 19*z**5\/5 - 49*z**4\/3 - 20*z**3 - 477*z. Suppose d(k) = 0. What is k?\nAnswer: -3, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 57*w + 19. Calculate the remainder when 70 is divided by b(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*x - 55 = 0, 2*r - 3*x + 2388 - 2419 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -170 - 86) + -10 + 1 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5*2\/(-6)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 2*h + 7. Calculate b(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(10\/11))\/n**(-6\/7))**15 assuming n is positive.\nAnswer: n**(3195\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1836\/9180*2\/(-14)*90\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 461 - 165. Suppose -5*a = -2*v + p, -a - 4*a - 2*v - 284 = 0. Let n = -7 - a. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(27\/(-12)) + (-15)\/5. Let f(l) = 74*l - 8. Is f(t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 306 = -20*n. What is the remainder when 27 is divided by ((-14)\/4)\/(n\/102)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 2*d + (6*d - 3*d - d)*(-9553 + 18045 - 10606))*(2 + 1 - 4).\nAnswer: 4227*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 39227\/19256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 256 - 600424?\nAnswer: -600146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202031 (base 5) to base 12.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -172553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**4\/12 + 2*i**3\/3 - 5*i**2. Let q be y(7). Is -10 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109302 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 14*j**2 + 43*j - 15. Let z be p(-5). Let l(f) = 7*f**2. Let r(v) = -15*v**2 - 1. Determine z*l(b) - 2*r(b).\nAnswer: -5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + 3. Let t = u + -17. Let m = 6 - 6. Which is the smallest value? (a) 2\/5 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:37 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 1, s: 3, y: 6, v: 1, w: 8}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*o**2*t**3 + 922*o*t**3 wrt o?\nAnswer: -392*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)*g**16)\/(g**(-12)\/g**(3\/2)) assuming g is positive.\nAnswer: g**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -66*m + 426 + 1000. Suppose 0*g = g - 175. Calculate the remainder when g is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-126)\/28*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and 13.6.\nAnswer: 1142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15626140 or -15626133?\nAnswer: -15626133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.55 and 1152.\nAnswer: 1159.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*w + g, -w + 3*w - 4*g - 36 = 0. Let d(u) = -u**3 - 2*u**2 + 2*u + 3. Let i be 1 + 1\/(-2)*10. What is the remainder when d(i) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.44 + 0.06. Let n = -0.5 - o. Which is the nearest to n? (a) 5 (b) 1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/120 - 2*n**5\/15 - n**4\/3 - 2*n**3\/3 - n**2. Let b(f) = f**3 + 7*f**2 + 8*f + 5. Let c be b(-6). Does 2 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(-3))\/(w*w\/(w\/w**(2\/39)*w))**49 assuming w is positive.\nAnswer: w**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11788950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*r - 38, 4*j + r - 34 = -53 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 221*t - 1538. Let l be f(7). Which is the nearest to -1\/4? (a) l (b) 0.2 (c) -2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161651, -323281, -484911, -646541, -808171, -969801?\nAnswer: -1131431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 + j**2 + (147*j - 5*j**2 - 147*j)*(-1 - 1 - 1).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 150\/(-22) + (-10)\/55. Let l be 12\/(-15)*(198\/(-12) + 4). Let w = l + i. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*((-72)\/20 + 2). Let o be (2 + (0 - 2))\/(-2). Suppose p + p = o. Solve p = -3*t - c*z + 20, 15 = -5*t - z + 4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -19) + 0 + (-5 - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122080 divided by 51526?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -284 - -44?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 928, 2115, 3778?\nAnswer: 5917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 876948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890390.\nAnswer: 2, 5, 289039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/12 + (-4)\/(-6). Suppose -2*g = -2*h - 43168974, -4*g - g = h - 107922405. Suppose 0 = q*i + g - 6384482. What is i rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -7\/24*c**4 + 0 + 0*c - 3*c**2 + 5\/6*c**3 + 1\/60*c**5. Let d be x(7). Solve 2*f - 2 = -f - 5*h, -5*f - d*h = -10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63\/178 + -367\/534. Which is the second smallest value? (a) 59 (b) 0.1 (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 16. Give b(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:38 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7.66 (b) -2\/21 (c) -2 (d) -1\/9 (e) -29\/4 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -5 (c) -45088 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42 + 1*(-5 - -3). Suppose 0 = 4*r - 9*f + 7*f - 40, 0 = r - 3*f - 10. Suppose -r*i + t = -50. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7641 (base 8) to base 3\nAnswer: 12111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Let d(h) = 6*h. Let u(l) = -6*d(l) + 13*k(l). Let r(a) = 2*a. Determine r(u(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82302195 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: What is the third root of 2212277 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from khdvpbh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921432117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2613 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 + 453 = 10*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 9*f**2 - 11*f + 3. Let b be y(-10). Suppose -2*g + 72 = 4*z, -z + b = 3*g - 15. Suppose 6*c = -z - 14. Is -5 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*x - 50332*h**2*x**3 + 65*h**2*x - 5404825*h*x**3 + 22*h*x**2 wrt h?\nAnswer: 24*h*x - 100664*x**3 + 130*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/5 (c) -1.22 (d) -5\/2 (e) 1\/1030\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*b - 1478 + 2654 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1060 and 17118960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3997 = -22*q - 3579 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14781680 and 0.4.\nAnswer: 5912672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104\/17 in 3\/2, -2\/7, 0.2, -243, -1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/81*45\/(-10) - 10. Let d(g) = -25*g**3 - 5*g**2 - 4*g + 5. Let p(m) = 37*m**3 + 8*m**2 + 6*m - 8. Determine o*p(n) - 8*d(n).\nAnswer: 15*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -192072?\nAnswer: -192072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:35 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 896290104 to the power of 1\/2, to the nearest integer?\nAnswer: 29938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*f**2 - 29*f**4 + 54*f**4 - 31*f**4 + 2*f**3 wrt f.\nAnswer: -144*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -m, 0 = n - 4*m - 11. Is 285\/n - (-14)\/49 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 + -147. Let g(o) = -o**2 + 5*o + 8. Determine g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 81\/8*b**2 + 3\/80*b**5 + 25\/16*b**4 - 53\/8*b**3 + 7 + 4*b. Factor o(t).\nAnswer: 3*(t - 1)**2*(t + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -63?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 512767 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -348*r - 682. Let l be f(-2). Solve l*t - 24 = 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 625.1892\nAnswer: -3125.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -6. What is the common denominator of ((-1)\/(-9))\/(n\/(-564)) and -95\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042504 (base 7) in base 13?\nAnswer: -46468","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 18*y**2 - 24*y - 72. What are the prime factors of p(10)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*j*m*q**3 - c**3*j - c**2*j*m + c*j*m*q**3 + c*j*q + 12*c*m*q**2 - 2*c*q + 2*j*m wrt c?\nAnswer: -6*c*j*m*q**3 - 6*c*j - 2*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13664576 is divided by 8076?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 - 4*w. Let n(d) = 2*d**2 + 2. Let r(c) = 14*c**2 + 16. Suppose 0 = 13*q - 8*q - 5. Let i(p) = q*r(p) - 8*n(p). What is i(o(g))?\nAnswer: -200*g**4 - 160*g**3 - 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(245) + 1 + (sqrt(245)*-1 - sqrt(245))*-6 - (4 + (sqrt(245) - (sqrt(245)*3*-2 + sqrt(245) - sqrt(245)))))**2.\nAnswer: -588*sqrt(5) + 8869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66665\/16 - -4168. Find the common denominator of -11\/4 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x**4 + 2847*x**3 - 2844*x**2 - 18*x. Let o(h) = 3*h**4 - 712*h**3 + 711*h**2 + 4*h. Let f(z) = -9*o(z) - 2*y(z). Factor f(g).\nAnswer: -3*g**2*(g - 237)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*m = 17, 2*h - 4 = 4*h + 2*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 60*j + 275. What is m(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7)*-2)**2 + sqrt(405)*2 - (5*5*sqrt(55)\/sqrt(891))**2.\nAnswer: -1505\/81 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6965 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*a = -c - 22, 0 = -c + a - 3. Let l be 18\/c + (0 - 4). Suppose 0 = -l*f - 3*f + 1688. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 277486027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from xxxxxxuxxuuuxu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 + 161\/(-6). Let p = 27 + u. Sort 0.2, 3, p in descending order.\nAnswer: 3, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-159624)\/108633)\/(6\/14)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 7 + 19 - 49*v**2 as w + c*v + i*v**2 and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 664207)\/((-36)\/3000). What is q rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-175))\/((5\/14)\/(-5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13071\/5 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k**2*z + 453*k**2 + 4167637*k*z**3 - 4477*k wrt z?\nAnswer: -3*k**2 + 12502911*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56888380 to the nearest 100000.\nAnswer: -56900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + -12 + -6 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -16. Which is the smallest value? (a) 3 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 306\/(-9)) + (-396)\/26\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 2 - 2)*(-7*o - 5*o**2 + 7*o) + 2 + o**3 - 2 to i + j*o**3 + r*o + u*o**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, y: 5}. Give prob of sequence yvyy.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 4*m - 158, 0 = -2*m - 1074*j + 1069*j + 125 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3, -d - 3*o - 386 = -2751. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 704.9 * 230.6.\nAnswer: 162549.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, u: 15}. What is prob of sequence ua?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**5\/2 + 79*n**4\/2 + 315*n**3\/2 + 381*n**2\/2 + 89*n + 12 = 0.\nAnswer: -1, -2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 0*i - 5*i + 4*i - 2*i. Let s(j) = j + 8. Let c be s(-6). Let l(w) = -c - 2*w - 1 + 3. Give l(p(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 940*g = t - 945*g + 20, 235 = -240*t - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eveeeeevveevvevv. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (-3 + (-2 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36968 divided by 2471?\nAnswer: -36968\/2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 - 42*p**4 + 60*p**4 + 3*p**3 + (-3 + 4 - 3)*(p**4 + 6*p**4 - p**4) as r + h*p**3 + j*p**2 + k*p + d*p**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5\/5 - 21*f**4\/5 - 46*f**3\/5 - 2*f**2\/5 + 9*f + 23\/5 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - -1.8. Let p = l - -0.1. Let d = 92 + -91.6. Which is the third biggest value? (a) p (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 - 6408735*f - 3 - 2*f**3 + 6408727*f + 0*f**4 in the form p*f + u + k*f**4 + n*f**3 + q*f**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 144 + 431 = a, -l = -2*a - 187. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178964053 to the power of 1\/2, to the nearest integer?\nAnswer: 46679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-95)\/330 - 1\/(-6). Let i = -53\/165 - z. What is the nearest to -2\/3 in i, 0.3, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from {g: 2, w: 2, d: 1, i: 8, b: 1, h: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/4, -186, -3349, 21 in decreasing order.\nAnswer: 21, -0.1, -1\/4, -186, -3349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137586987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 4*o**3 + 5*o**2 + 2*o.\nAnswer: o*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 36. Let y be 60\/j - (-6)\/(-9). What is the units digit of (y\/5)\/(3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 9*b - 7. Let i = 3 - 11. Let k be c(i). Let l be 12\/(-28)*3 + k. Which is bigger: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*z**2 - 548*z**2 - 554*z**2 + 2233*z**2 - 553*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*w + 22 - 24 + 5*w)*(0 + 0 - w**2).\nAnswer: 20*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*x + 192*x - 3983*x - 18555*x - 2284*x.\nAnswer: -24973*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16 - -12)\/(30\/574). Let j = a - -241\/3. Calculate the common denominator of (-4)\/6 + (-242)\/12 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 1:50 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42539\/52 - 37436\/13. Let b = 3720 + w. Find the common denominator of b and -43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 10*q + 1. Let k be o(-5). What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 28 + 18 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 11*h = -4*y + 14*h - 21, 6*y - 140 = -h - 3*h for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0641 + -0.010018987.\nAnswer: -0.074118987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 52907783*f**2 + 7*f**3 - 52907783*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424808 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2. Let b(w) = 13*w + 5. Let x(f) = 72*f + 28. Let k(c) = -28*b(c) + 5*x(c). What is u(k(h))?\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - 10) + (10\/((-560)\/(-518)) - 3\/12)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssksssksss. What is prob of sequence skss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(171)) + (sqrt(76)\/sqrt(2))\/sqrt(2)*-6 + -2.\nAnswer: -18*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let o(n) = -n**3 + 2*n**2 + 4*n - 1. Let g be o(i). List the prime factors of (-10 + -4)\/(g\/(-3)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90050466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2431, 3529, 4767, 6151, 7687, 9381, 11239, 13267?\nAnswer: 15471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3198, 3199, 3202, 3207, 3214, 3223, 3234?\nAnswer: 3247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -173196.61 to the nearest one thousand.\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66096\/(-15912) - 4\/(-26). Suppose v = -0*v. What is the nearest to v in 2, -1\/4, r, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.2. Let y = -80 + 75. Let n = 5.3 - 6.3. Which is the closest to 3\/2? (a) n (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c + 35*c - 2530. Which is bigger: c or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 15, -5*q - 3*d + 45 = 0. Solve -11*z - 15 = -q*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7621*i*l**2*r + 305*i + 9*l**2*r**3 - 2*r**3 - 125 wrt l?\nAnswer: 15242*i*l*r + 18*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-9315)\/243)*95\/(-1)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 7. Let t be h(-8). Suppose -p + 3 + t = 0. Solve 9*g = p*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*f**2 + 2191*f**2 - 1096*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(7\/3)*z*z\/((z**(1\/2)\/z)\/z)*z**3*z**7\/z*z)\/((z**(5\/3)\/z*z\/(z*z**(-2\/7)*z))\/(z\/z**(-1\/2))**(-4\/25)) assuming z is positive.\nAnswer: z**(17473\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -t - 5, 0*v - 8 = 4*v + 2*t. Let x(n) = -161*n + 6. What is the remainder when x(v) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1070 - 1969 + 149 + 577)*(-3*u - u - u - u + 0 + 0 + (-3*u + 2*u + 0*u)*(0 + 4 - 6)) + u + u - 4*u as b + h*u and give h.\nAnswer: 9250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.2 and -941?\nAnswer: 958.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36280 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00727997 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454982.\nAnswer: 2, 11, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 8, w: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = h - 5*z, 0 = -2*h + 3*z - 5. Let i be (0\/(-1))\/(-1)*h. Solve i = -4*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4492\/20214)\/((-130)\/9).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 294*c**2 + 21312*c + 43808.\nAnswer: (c - 148)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -92*u + 94*u, 4*u + 14 = d. Which is the nearest to u? (a) -2\/9 (b) -0.05 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 223855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-8) - (-1)\/(-4))\/(691\/(-19348)). Calculate the highest common factor of 512 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15991 take away 4608.37?\nAnswer: 11382.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, y: 5, n: 3, r: 4}. What is prob of sequence rye?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.691 + -4.81. Round b to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 3 - g**3 - 4 - 7*g**3 - 4*g + 0 to u + p*g**3 + x*g**2 + f*g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-6) - 11*(-25280)\/(-4224)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 573853 = 37*b - 24683. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*s - 60 = 0, -4*f + 62 = f - 3*s. Suppose -3*t - f = -a, -a = a + 2*t - 2. Is -4\/3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-374)\/(-14) + (-6)\/(-21). Suppose 2*i + 0 - 46 = 0. Let z(k) = y*k - 51*k + i*k. Let s(r) = -4*r**2. What is s(z(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 65*t**3 - 24*t**2 + 8*t - 27. Let m(l) = -22*l**3 + 9*l**2 - 3*l + 8. Give -8*m(x) - 3*o(x).\nAnswer: -19*x**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2377*u + 123600. Calculate s(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 3. Let f be r(-22). Suppose f*s = 16*s + 21. Solve -6*j + s*j - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -156. Let i = 5 - 5. What is the remainder when 1 + 28 + (i - 1) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**3 - 127*a**2 - 89*a**3 - 109*a**2 + 50*a**2.\nAnswer: -107*a**3 - 186*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651714 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140.4927 - -140.6. Let s = -0.102 + y. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-2)\/104*-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2103 divide 313729929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**2 - 1488*m - 592.\nAnswer: -4*(m + 74)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3203*g**2 + 29*g + 21. Let j be l(-1). What is the highest common divisor of j and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/11 - 120*j**3 + 157994*j**2\/11 + 319956*j\/11 + 160640\/11 = 0. What is j?\nAnswer: -1, 160, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (238\/68)\/((-14)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)\/(f\/(f**(-6\/19)\/f*f)*f))**(-2))**(2\/53) assuming f is positive.\nAnswer: f**(1240\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17326480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*w = -21, 12 = 20*h - 15*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**0*u)*u*u*(u*u**(-3\/2))\/u*u*u**(2\/9)\/(u*u\/u**(-7\/5)*u))\/(u**(-7)\/(u*u\/u**(-4\/5)))**(-2\/3) assuming u is positive.\nAnswer: u**(-739\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 5*v**4 - 445*v**3\/3 - 425*v**2 + 240*v + 148. Solve q(b) = 0.\nAnswer: -2, 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -18 (c) 0 (d) 1.5 (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/18)\/(3\/4) + 481670\/(-45). What is z rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4\/5 - 28566*w**3\/5 - 142884*w**2\/5 - 200058*w\/5 - 85743\/5 = 0.\nAnswer: -3, -1, 9527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-30)*(-168)\/(-63))\/(-30)*-3.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -16. Suppose -4*o + d + 27 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43465 (base 7) to base 16\nAnswer: 2a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1)))**(4\/29)*v**6*(v\/(v*v*v**(2\/7)*v*v*v))\/v)\/(((v\/v**1)\/((v*((v*v\/v**3*v)\/v)\/v)\/v*v*v))\/(v**0)**(1\/36)) assuming v is positive.\nAnswer: v**(117\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.96 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12880297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74977846 is divided by 139.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2 - 2*b - 3 - 2 - 1. Let z be v(-6). Solve d = z*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -35529.\nAnswer: -71058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229447 and 1194?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1074 and 3892351062.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 2617 = a - 20*f, 0 = -f - 1. Suppose 1122 = 13*v - a. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 3*b - 14 + 10 + 10.\nAnswer: -3*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + v - 5*v)*(6*v**3 - 4*v**3 + 3*v**3 + (-3*v - 3*v + 2*v)*(2*v**2 + 3 - 3)) to the form j*v**3 + k*v**4 + o + z*v**2 + m*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11577334.1 to the nearest 100000.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 41469, 41406, 41345, 41286, 41229, 41174, 41121?\nAnswer: 41070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 280.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14710*b*f**3*l**2 - 4*b*f**3*l - 30*b*f**2*l + 12*b*f**2 + f + l**2 wrt f.\nAnswer: 88260*b*l**2 - 24*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9396281kg in milligrams?\nAnswer: 939628.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5257666*r**3 - 4*r**2 + 7753*r + 1 wrt r.\nAnswer: 31545996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -225797369 divided by 32256767\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 13 = -23*a + 20*a, a = -m + 9 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from aamotaoam?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12 - 53\/4. Let s = 26 + i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -100.\nAnswer: -11\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**5 + 61131*m**4 - 285441*m**3 + 224349*m**2 + 326220*m - 244692 = 0. What is m?\nAnswer: -6797, -1, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 16*c**2 + 6498*c + 83. What is o(-73)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)\/o)\/(o\/(o\/o**(-1)))*(o**(-2\/17)\/o)\/(o*(o*o**(2\/9))\/o*o))**17 assuming o is positive.\nAnswer: o**(-511\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/5 + 286*w**3\/5 - 13536*w**2\/5 + 41472*w + 221184\/5 = 0. Calculate w.\nAnswer: -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 3*w)*(4 - 2 - 1)*(-7 + 1 + 2) - 17*w + w + 73*w - 2 + 1 + 2*w + 3*w.\nAnswer: 66*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73012609 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27495 - -47095. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 10*z - o = 127, -5*z = -2*o + 421 - 350 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 71 + -25 + (0 - 7).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p + 4*r + 1, -p - 2 = -3*r. Put 4, p, 36 in ascending order.\nAnswer: p, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = 2*c. Suppose 3*a - 3*p = -2*a + 1, -4*a - 3*p = c. Are a and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 647, -0.15, 1, 0.03?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 3*q - 5. Let l(r) = -r. Let t(u) = 5*l(u) - w(u). Let m be t(-7). Suppose m = -3*d + 6. What is the smallest value in -0.5, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 882 + -2817?\nAnswer: -1e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/3 + 5\/12. Let z = -23.7 - -20.77. Let i = -0.07 + z. What is the second biggest value in i, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2131\/5 - -436. Let r = 187 + -101. What is the common denominator of m and (-2)\/((-8)\/r) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*(0 - 2 + 1)*(-5*q - 3*q + 16*q) to the form v + k*q and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -63 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.51, -0.1, 1\/2?\nAnswer: 2.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 4*v)*(-3*v - v**3 + 3*v) - v**4 - 5 + 6 + 3335*v**3 - 3069*v**3.\nAnswer: -2*v**4 + 266*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:28 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33551950 is divided by 1048498?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 37*o**2 + 15170*o + 304. Calculate p(-410).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 45066.\nAnswer: -1\/6438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*v = 7 + 5, 7 = 3*j - 2*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-48) + 395\/(-210) and -27\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -1\/177, 5, 0, 1, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/410298 and -41\/378.\nAnswer: 3692682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1031350.\nAnswer: 1031350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4255136 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947764 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*p - 144 = 0, -4*y + 0*p + 193 = 3*p. Suppose -220 = -2*w + y. List the prime factors of w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129848 divided by -9\nAnswer: 129848\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-21)*(-108)\/240\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*a + 40 = 0, 3*y + a - 10 = 5*y. Let f = y - -8. Suppose j - 3 - f = 0. Solve -2*i - 3*r + 7*r = -14, j*i - 4*r = 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(26\/40)*2\/(-16)*-2. Solve 2*n = -4, -5*k = d*n - 3*n + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420689 + -7149705\/17. Let q = -118 + t. Let x = -0.1 + 0.3. What is the closest to 0 in x, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 371383.7 to the nearest 100.\nAnswer: 371400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10018205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -233.\nAnswer: -10\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, d: 2, j: 4, c: 1, k: 3}. Give prob of sequence vg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1763424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1058 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 7*n**6\/6 - 2*n**5 - 398*n**2 - 194. What is the second derivative of s(i) wrt i?\nAnswer: 140*i**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 450 = 6*v - 89*v. What is the third smallest value in 7, 2\/9, v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50689 smaller than -608275\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.416483 centuries?\nAnswer: 741.6483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 8, v: 5, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 6:43 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2290*j**2 + 488*j + 14. Let k(o) = 2290*o**2 - 491*o - 17. Let d(f) = -7*a(f) - 6*k(f). What is the second derivative of d(r) wrt r?\nAnswer: 4580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -309, -372, -435, -498?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1530199 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.003, 0.0319, 0 in decreasing order.\nAnswer: 0.0319, 0, -1.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/2 + 12*z**2 + 117*z\/2 + 180. Factor r(o).\nAnswer: 3*(o + 3)*(o + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = v + 16, 32 = 5*v - 3*c. Suppose 3*z = -0*q + 5*q - 38, -q = 3*z - v. Solve -3*h + 2*r + 2*r - q = 0, 4*r = 5*h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3622 is divided by 250?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2462465 - -0.19525. Let k = 110 - 110.051. Let s = k - l. Round s to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**6\/180 + d**5\/30 + d**3\/6 + d. Let b(j) be the second derivative of o(j). What is the second derivative of b(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 910333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7515900 rounded to the nearest 10000?\nAnswer: 7520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 11045?\nAnswer: 11045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and 50\/2103.\nAnswer: 4206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**0)\/z)\/z)**(-29)\/(z**(-1))**(2\/41) assuming z is positive.\nAnswer: z**(1191\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59, -259, -599, -1085, -1723, -2519, -3479?\n\"Answer: -g**3 - 64*g**2 - g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 17\/2093, 4, 50?\nAnswer: 17\/2093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2171783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2. Suppose -2*y + 0 = 2*i - 4, 0 = -5*i - 5. Let p(q) = -q - y*q - 13*q. Give z(p(n)).\nAnswer: 1156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949865?\nAnswer: 5, 7, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2310\/12)\/7*(-48)\/(-88)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:44 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**5 + i**4 + i**3 - i**2 + 1. Let r(y) = -y**5 + 16*y**4 + 75*y**3 + 170*y**2 + 176*y + 66. Let l(f) = -3*r(f) + 6*t(f). Let l(n) = 0. What is n?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**5 - 9959*w**4 + 8*w**3 - 106823360*w**2.\nAnswer: -300*w**2 - 239016*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 2619*v**2\/2 - 5245*v - 15726.\nAnswer: (v - 6)*(v + 2)*(v + 5242)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -124, 19, -3, -3.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180 - 0?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18)*(-6)\/(-4). Let r(s) = 23*s + 298. Let o be r(-13). What is the closest to o in x, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(12\/9)*22\/(-33)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 12*t - 9. Let v = 5 - -5. Is p(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.197874 * 0.05\nAnswer: -0.3098937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n - 4*n - n + (3 - 2 + 1)*(4*n + n - 3*n) + 0*n - n + 2*n - n + 0*n + 4*n + n + 3*n - 2*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18120 less than or equal to -18175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g = -6*g - 19645 - 21760. Calculate the greatest common divisor of g and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -8859\nAnswer: 35436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 17, i: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = 4*p - 51*u - 14631, -u + 5 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let o = -3.4 + 3. Let z = -0.7 - -1.1. Which is the second smallest value? (a) z (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + -3 + 37\/14. Let h = 10733977\/2600730 + -1\/47286. Let n = -52\/11 + h. Which is the closest to 0.1? (a) g (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597265421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.116 (b) 3 (c) -6\/5 (d) -49 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 193477414 divided by 1\nAnswer: 193477414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3249 + 9746\/3. What is the third biggest value in 0.5, -1, -1.1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 2, v: 1, w: 1, e: 1, f: 1}. Give prob of picking 1 v, 1 m, 1 e, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*b**2 + 191*a*b**2*r - a*r + 4*b**2*r - 6*b*r + 6*b wrt a.\nAnswer: 4*a*b**2 + 191*b**2*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.9. Let k = 0.4 + 0. Let l = 1.1 - 1. Which is the closest to r? (a) k (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 2*s - 1. Let r be h(-1). Suppose 4*l + r*l = 640. What is the highest common factor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 671\/2780 - -6\/695. Let l = -0.04 - -2.04. Which is the closest to l? (a) x (b) 3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose -5*c = w*y - 273, -2*c = 2*y - y - 139. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -183*i + 188*i. List the prime factors of -1 + 2\/i + 1145\/10.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 - 3. Let b be l(-3). Let a(s) = -b*s + 7*s + 0*s. Let x(i) be the third derivative of i**5\/30 - 2*i**2. What is x(a(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ethichic.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**6\/120 + m**5\/12 + 7*m**4\/24 - 4*m**3\/3 - 5*m**2 - 7. Let v(b) be the second derivative of f(b). Give v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115, -100, -71, -22, 53?\n\"Answer: i**3 + i**2 + 5*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from myyyyyyymmy?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350 - 231. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4*b**3\/3 + 3*b - 1090. Let g(m) = 9*m**2 + 5. What is 3*g(f) - 7*r(f)?\nAnswer: -f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 769, 1402, 2027, 2644, 3253?\n\"Answer: -4*q**2 + 645*q + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 392442367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.907 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40344*g**3\/5 + 2644008*g**2\/5 - 9168558*g + 16286460.\nAnswer: -6*(g - 2)*(82*g - 2605)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 14*m - 23. Calculate v(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:45 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n - 3. Let z be ((-3)\/9)\/((-1)\/9). Let k be p(z). Let b(u) = -u**2 + 9*u + 3. What is the units digit of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 54*a - 1. What is the remainder when f(1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4, -3*o - 4*n - 10 = -0*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 - -10 - ((-29 - -43) + (-24 - -4) - -18)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015649 to 5 dps.\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 2. Let o be 2 + 0 - t\/(-2). Determine j, given that 27*j**2 + 14*j**o + 1 + 9*j + 8*j**3 + 5*j**3 = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -155. Let c = -0.31 + 0.01. What is the closest to 1 in c, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 57. Let d(a) be the second derivative of 0*a**2 + 0*a**b - 1\/6*a**4 - a + 1\/30*a**6 + 0*a**5 + 0. What is the third derivative of d(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b\/b**(-21))*b)\/b))**(-2\/93)*b*b**(-1\/18)*b*b**32*b assuming b is positive.\nAnswer: b**(19223\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(0 - 4) - -31. Let b = -28 + l. Suppose 2*d = -3*m - b*d + 51, 2*m - 50 = 2*d. What is the lowest common multiple of m and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/27 + (3644\/36 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (12 - 11))\/38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*3\/6 - -2. Let b = -18 + 82. Calculate the remainder when b is divided by 22\/(j + 1 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*l + 72 = 131*l. Let h(i) = -2*i - 10. Calculate h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + n**2 + 37*n - 76)*(2 + 2 - 5)*(n - 4*n + 4*n).\nAnswer: -n**3 - 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -188 + 200 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.232 + -0.168. Which is the third smallest value? (a) t (b) 34 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 60*k**2 + 279*k - 167. Let a be l(55). Is 51 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44896*y**4 - 67*y**2 + 3?\nAnswer: 1077504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/7 in 0.5, -2, 103?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 86*w - 82.\nAnswer: -2*(w - 1)*(2*w - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 + 535*l**2 + 32590*l - 333000 = 0. What is l?\nAnswer: -50, 9, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let o(k) = -k**3 + 10*k**2 - k - 2. Let r(i) = -o(i) - 6*q(i). Suppose -2*s + 16 = -0*s. Let b = s + -5. Determine r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a factor of 487131169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:26 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 25. What is z in 20*z**m - 5*z**3 - 5*z - 6*z - 8*z - z = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.07 - -0.17. Let v = w + 1.5. Which is the nearest to 0? (a) 0 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 2 + 2 + b**3 + b + 2 + 2*b. Let c be w(-4). Let x = 25 + c. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117100 divided by -4?\nAnswer: -529275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1\/(-2))*(41 + -475). Let u = i - -1955\/9. Sort 0, 1, u in increasing order.\nAnswer: 0, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531992.\nAnswer: 2, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/523 + 46491\/2092. Which is smaller: g or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -659 - -660. Let m be (-4 + h)\/1 - (-3778)\/1258. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + -0.43. Let a = 0.1 - 1.6. Let w = s + a. What is the nearest to 1 in w, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - t + 1. Let v be q(-1). Let i = -0.274 + 1.444. Let c = i - 1.3. Sort v, 0, c, -0.5.\nAnswer: v, -0.5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -342 + 335. Let k = 7.4 + z. Sort k, 3, -0.1, 7\/6 in decreasing order.\nAnswer: 3, 7\/6, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52054164 divided by -1445949?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5 = 3*d, 260*d + 12 = 257*d - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 21. Let u be g(15). Let l = -100 + u. Let j = l + 125. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*t**2 + 23*t**2 - 63*t**2 to the form l*t**2 + b*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 1. Let h(x) = 3*x - 6. Let n(t) = h(t) + 2*y(t). Let p be n(7). Suppose -102 = -p*l - 0*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*n**4 + 10746*n**3\/5 - 37821*n**2\/5 + 1728*n - 60 = 0 for n.\nAnswer: 2\/47, 1\/5, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4031964*s**3 - 15559935 wrt s?\nAnswer: -12095892*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (488\/1830)\/((-3)\/(-9))*1\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.99. Let x = u + 2.99. Let w = 97 + -98. What is the nearest to 0 in w, x, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s + 3*s - 2*s**2 + (-13 + 5 - 24 + (-3 + 0 + 2)*(1 + 2 + 5))*(-s - s + 3*s)*(3*s - 3*s - s).\nAnswer: 38*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 3*m, 0*h - 4*m + 14 = 2*h. Suppose b + 5*c - 20 = 0, -3*b - 19 = -h*c + 11. Suppose 0 = 2*f + 3 - 1. Put 1, b, f in decreasing order.\nAnswer: 1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23958 - 4.\nAnswer: -3.76042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Let y(j) = 4*j**2 + 4. Let b(p) = 5*p**2 + 4. Let w(q) = 6*b(q) - 7*y(q). Let l(a) be the first derivative of w(a). Determine h(l(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9682 and 7708?\nAnswer: 793924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4323\/5 - 12959\/15. Let -5\/6*t**4 + 5\/2*t**2 - 1\/3*t**3 + u + 8\/3*t = 0. Calculate t.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**3*w**2\/w)**(13\/2) assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320600 - 107797. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -73 - (-1 - (-4 + 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 4, -88, 9 in descending order.\nAnswer: 9, 5, 4, -6, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-140) + 383\/140. Let c(q) be the first derivative of 4\/5*q + 3 + 12\/5*q**2 - p*q**4 + 7\/5*q**3. Find r such that c(r) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2974.4181us?\nAnswer: 0.000049573635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h - 14. Give w(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85965 is divided by 306.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 8*m - 116039 = -70*m. Calculate the remainder when m is divided by 492.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -412 + 1483?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1))\/(t*t**5\/t)*(t\/(t*t\/(t*t*t*t*(t\/(t*t**(2\/7)*t*t))\/t)))**(6\/17)*(t**(1\/3)\/((t**(-2\/5)*t)\/t))\/(t**1)**(-1\/46) assuming t is positive.\nAnswer: t**(-192611\/82110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -0.07. Let b = s + 9.9. Let j = 14 + -14. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190*(3 - (0 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*z + 110, 5*o - z - 6 = 116. Suppose -25*p + 20*p = o. Put 1, 0.4, p, 2\/9 in increasing order.\nAnswer: p, 2\/9, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -4*-2*sqrt(98))**2 - (sqrt(98) + (sqrt(98) - 2*(-2*sqrt(98))**2) + (-4 + sqrt(98) + sqrt(98) + -2)**2).\nAnswer: 602*sqrt(2) + 6641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 94172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*-2)\/(1\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 10. Suppose 4*w + 8 = 2*x, -3*x - 3 = -w - 0*w. Let r be u(w). Find the third derivative of -13*m**2 + 0*m**6 + r*m**6 + 7*m**6 wrt m.\nAnswer: 2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5)\/(13 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/115, 4, -0.5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 83 = -13*s - 64 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1 (c) -108 (d) -239\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*s = -46 - 4, 0 = 5*q - 4*s - 105. Let u = q + -11. Calculate the remainder when 31 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*c - 2277 - 3911 = 846*c + 10100 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23509 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.4? (a) 0.4 (b) -2 (c) 25 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 17*r**2 + 6*r)*(1 + 0 + 0).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260714 by -4.\nAnswer: -130357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let i be ((-2)\/(-24))\/(14\/42). What is the biggest value in i, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1243, -2396, -3547, -4696, -5843, -6988, -8131?\n\"Answer: o**2 - 1156*o - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2689*d - 2674*d = 59760. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a**2 + 5*a - 5. Let o(h) = 3*h**3 + 2*h**2 + 2*h + 4. Let b be o(0). Let c(m) = 11*m**2 - 4*m + 4. What is b*f(x) + 5*c(x)?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -150*u**2 - 12. Let r(l) = 10050*l**2 + 800. Determine 200*k(j) + 3*r(j).\nAnswer: 150*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkplklfxpkpzkk. Give prob of sequence lkkf.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94350792 or -94350793?\nAnswer: -94350792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-5\/9))\/(y*y\/y**(-2\/7)))\/(y**(-5)*y\/(y**(1\/43)*y)) assuming y is positive.\nAnswer: y**(11630\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 480 in 3, -0.2, 4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 29. Let s be u(6). Let y(x) = 3*x - 19. Let g be y(s). Let r be (g - 0)\/(-4)*(36 + -36). Solve w + r = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358\/13962*(-5)\/(-3)*(-3)\/(-5).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -44\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 5, i: 3, w: 1, j: 2}. Give prob of picking 1 j and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 1, m: 1, v: 1, y: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 1. Let u be 0*g\/8 - 2. Calculate the common denominator of 85\/16 and u\/14 - (-593)\/(-112).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - o + 0*o + (-o + 3*o - 3*o)*(-4 + 5 - 3) + 2*o + o - o + 2*o - 5*o + 4*o + 2*o - 1 + 1 + 499 - 38*o - 268 - 253 to the form x*o + z and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -0.146151?\nAnswer: 0.053849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46551*f**4 - 1022*f - 1091173128.\nAnswer: -186204*f**3 - 1022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21203001022 (base 4) in base 16?\nAnswer: 26304a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85554 = -32*x - 115*x. Calculate the lowest common multiple of 776 and x.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -25*a - 167. Let x(k) = -21*k - 166. Calculate 5*d(q) - 6*x(q).\nAnswer: q + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3 - 10. Suppose 6 = -5*y + b*y. Factor -9*a**2 - a**2 - 13*a**3 + a**y - 2*a.\nAnswer: -2*a*(2*a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 12:50 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -24, -328, 1.\nAnswer: -328, -24, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85847.6 + -85848. Let t = -0.7 - -0.4. Which is the closest to -0.49? (a) t (b) -1 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*l - 20, 2*n + 4*l - 4 = -30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-4)\/(-6) - (-73)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302535 by -15.\nAnswer: 20169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 159 = 22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12710, -16122, -19530, -22928, -26310?\nAnswer: -29670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33685487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 769 + -29995\/39. Let o be 1 + (-374)\/(-156) + -1. Let n = l - o. Which is the third smallest value? (a) -0.1 (b) -3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16631986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/5 of a litre in millilitres?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -44 + 14, -4*d - 76 = -6*n - 124 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188 by -36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - 19 + 19.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)*c*c)**(22\/7))**(4\/19)\/((c*c\/c**(-1\/5)*c)\/(c*c**4\/c*c*c)*(c\/c**(1\/4))**14) assuming c is positive.\nAnswer: c**(-8921\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 + 4811043*q\/4.\nAnswer: 3*q*(q + 1603681)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 30*m**2 - 107*m + 73. Let p be f(26). Put p, -4, -11, 13 in descending order.\nAnswer: 13, -4, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -254*y + 242. Let m(f) = -2*f + 3. Let q(j) = -2*m(j) - t(j). Differentiate q(h) with respect to h.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218.02 - -220. Let u = l + 0.02. Let s = 0.3 - 0.29. Is s >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 14993000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-316)\/(-6))\/2 + -4. Let p(g) = -g + 24. Let s be p(0). Let k = a - s. What is the third smallest value in 1, k, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 590 - 557. Calculate the remainder when 361 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822457?\nAnswer: 23, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 211204 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8.7. Let n = 1 - k. Which is the third biggest value? (a) -8 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h + 4*g, -2*h - 2*g = h - 6. Suppose 2*j + h = -8. Let u(z) = z**2 + 3*z + 3. What is the units digit of u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/967 in -4\/3, 5, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/11, 1, -2\/55, -2, -4\/5 in decreasing order.\nAnswer: 1, 0.4, -2\/55, -2\/11, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/5)\/((-8)\/(-28)) - (2 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9386138, -9386140, -9386142?\n\"Answer: -2*q - 9386136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 28*p**3 - 3 + 29*p**3 - 221*p**2.\nAnswer: 58*p**3 - 221*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2\/433 (c) 2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 24*l**2 + 53*l - 24. Let j be o(22). Let s = 1568\/9 - j. Let u = 3.16 - 0.16. Which is the closest to s? (a) -4 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzbbyuvzub. What is prob of sequence zbu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/39 and 143\/91620?\nAnswer: 1191060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (7 - 9 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -232023?\nAnswer: -232010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 3*h + 5*h + (4 - 1 - 2)*(-4 + 2*h + 4) - 13199 + 13199 + 6669*h to the form p + l*h and give l.\nAnswer: 6673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - 46 - -20 - -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/140 + 8700\/(-3220)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125297 (base 11) to base 9.\nAnswer: 330622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*x - 41*x**2 + x + 44*x**2 + 0 in the form p + w*x**2 + m*x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(-1)*o)\/o)\/o*((o**4\/o)\/o)\/o*o\/(o*o**3)*o**0*o*o)**(-35))**42 assuming o is positive.\nAnswer: o**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*53\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 25356396.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 935, 920, 905, 890, 875?\n\"Answer: -15*r + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38653\/14 + -2769. Calculate the common denominator of 119\/240 and f.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/2)\/o)**(-10)\/(o*o**(-3\/2)*o)**6 assuming o is positive.\nAnswer: o**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.80662174468 - 18\nAnswer: -22.80662174468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 - -192. What is the tens digit of ((-6)\/(-18))\/(2\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*w + w. Suppose -a - 6 = w*z - 3*z, 0 = -3*a - 4*z + 22. Is (-4)\/a - 1\/(63\/(-44685)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 5, 2\/11, -98.2, 3\/4, -0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 5*m + 11*m + 2*m + m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 5*o + 9, -4*h - 38 = 2*o. What is the remainder when h*(-4 - (2 + -5)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 203630?\nAnswer: 203631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*c + 9 + 2 = 0, 4*c = -4. Let v = q + 6. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h + 150. Determine j(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72940830*c**4 + 305522636*c**2 wrt c?\nAnswer: 1750579920*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202 + -37 - (12 + (36 - 26)).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {h: 3, g: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a + 137*a - 2381 + 9881 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19720 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -5217, -17555, -41577, -81177?\nAnswer: -140249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(10\/(-20)). What is the second derivative of 24*k**5 + 13*k - 5*k - 28*k**5 + z*k wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 45 = y + y, -5 = y. Let z(q) = q**3 - 7*q**2 + 3*q + 13. Calculate the lowest common multiple of z(r) and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2867\/(-122))\/(1\/(-12)*-2). Let r = -59 - s. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164 - -819\/5. Let o = -5 + 2. Let f be (0 - (-6)\/1) + -3. What is the biggest value in o, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 - 1523\/7. Factor 2\/7*z**5 + 10\/7*z + 20\/7*z**3 - 2\/7 - 20\/7*z**2 - o*z**4.\nAnswer: 2*(z - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26\/5 + -5. What is the closest to 0.1 in -2, 0.8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 12 + -15 - -73.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.05, 4, 54?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 193*a + 878. What is the thousands digit of x(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8054 + -56375\/7. What is the closest to 1 in s, 0.5, 2\/91?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 106664495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-25))\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5 + 57*l**4 - 69*l**3 - 165*l**2 + 294*l - 120 = 0.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -912148 (base 10) to base 6.\nAnswer: -31314524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.506044 litres to millilitres.\nAnswer: 5506.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235.5 - -127.\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.25, -0.1, -1\/5, -1\/4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*w - 5*w**5 - 4*w - 8*w**5 + 2*w wrt w?\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20113.\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(1\/6)*f))**14 assuming f is positive.\nAnswer: f**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, b: 2}. What is prob of sequence be?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, q: 3, f: 6, r: 3, v: 2}. Give prob of sequence sqf.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = u - 5*l, 0*u + u + 5*l - 1 = 0. Let t(q) = 0 - 3*q**3 + 4*q**3 - u*q - 6*q**2 - 3. What are the prime factors of t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 + 2*g - 9. Let z be l(6). Let i = 2 + z. Solve 5*t - 11 = -3*u, -2*u + 7*u = i*t - 35 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:33 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 16. Suppose -x*p - 26 = -4*w + 30, -34 = -3*w - p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.725 - -0.275. Let k = 56.8 - h. Which is the nearest to 16? (a) 0 (b) k (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (417480\/(-1988))\/((-14)\/4).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 232446497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Let b(g) be the first derivative of 1\/3*g**3 + 2 - 1\/2*g**2 + g. Suppose x + w + 7 = 0, 5*x + 3390 - 3403 = 3*w. Give x*b(u) + m(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1205, -2.29, 0 in decreasing order.\nAnswer: 0, -2.29, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - a. Suppose a*z = 8*z - 240. Suppose -2*c + 4*h + z = -0*c, -3*c + 30 = -3*h. Solve -4*p + c*p = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m - 4 + 4 - 24*m.\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171673.95 take away -137?\nAnswer: -1171536.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(44) + 2 + sqrt(11) + -1 - (4 + sqrt(176)*1))**2*-2.\nAnswer: -1805 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12156*r + 3719706. Give p(306).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943144413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 4*u - 15*u + (-2*u + 0*u + u)*(-3 + 2 + 0))*(u - 2*u - 2*u) + (-3*u**2 + 5*u**2 - u**2)*(1 - 3 + 3) to the form t*u**2 + q*u + c and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201659 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15172*n**5 - 1280*n**4 + 19177*n - 831 wrt n?\nAnswer: -303440*n**3 - 15360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.2. Let q = -5.023 + 6.023. What is the closest to l in -45, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 2) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 1089.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -940 divided by 20\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12852 + 109?\nAnswer: -12743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107.03 + 108. Let o = -0.97 + f. Which is the second biggest value? (a) 0.2 (b) o (c) -0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + (sqrt(108) - (sqrt(108)*-2 + -5)) + (sqrt(108) - (sqrt(108) - sqrt(108)*-2)*-3)*-6)*-3)**2.\nAnswer: -147744*sqrt(3) + 18949032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.17338 + 0.108264.\nAnswer: -4.065116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**9\/5040 + f**8\/1120 + f**4\/2 - 6*f. Let o(j) be the third derivative of i(j). Determine m so that o(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1384.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 46*p**3 + p - 482 wrt p?\nAnswer: 40*p**3 - 276*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - -101?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:38 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-28)\/6. Solve -8 - 17 = -j*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6 + 9)*-1)\/1. Let v(c) = -6*c + 3. Let g(n) = -6*n + 4. Determine y*g(u) + 4*v(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759652 is divided by 1312.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 0 - 1)*(-4 - m**2 + 4)*(6 - 6 - 4) to the form t*m**2 + q*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 35*g - 500. What is the lowest common multiple of 440 and d(20)?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 34*o**2 + o. Let r be c(-1). Let h be (46029\/r)\/(3\/(-6)). Let i = -2792 - h. Find the common denominator of i and -55\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46097829 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: What is the nearest to -4297 in -2, 0.5, 0.4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 6*q + 46*q - 600 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -4, 6, 1\/3, -2\/5, 0.0148?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 9, c: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 - 3*f**2 + f**2 - 9*f**3)*(-4 + 17 + 11).\nAnswer: -312*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/60 - 4*p**4 - 128*p**3\/3 + 2*p**2 + 39*p. Determine d so that f(d) = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 0.04. Let u = 141.4 + -131.89. Let x = u - f. What is x rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 256 - 251 = 771 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**4 - 170545*s**3 - 1940175435*s**2 - 7374561376435*s - 146716520914700 = 0?\nAnswer: -11363, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2603*o - 4109 with respect to o.\nAnswer: -2603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 78676.34 kilometers?\nAnswer: 78676340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 42, 19, -24, -93, -194, -333?\n\"Answer: -m**3 - m**2 + m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18623\/4140 + 10\/207. Find the common denominator of s and 61\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*x + 7 - 7 + 0)*(147 - 16*x - 146 + 3*x).\nAnswer: -2119*x**2 + 163*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 20234200 to the nearest one hundred thousand.\nAnswer: 20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -10233 in descending order.\nAnswer: 2, 0, -10233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**3\/2 - 23*s**2\/2 + 110*s. Let a(d) = d + 8. What is -17*a(y) - 6*n(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 4. Suppose 0 = -2*k - o + 7. Solve k*n - 1 = 2*p, -2*n - 4 = 5*p + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = 10. Let h be ((-90)\/(-75))\/((-3)\/g). Sort h, 0, -10 in decreasing order.\nAnswer: h, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2473, 2493, 2513, 2533?\nAnswer: 2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 950, 1465, 1980, 2495?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -43. Let g(c) = c**3 - 7*c**2 + 4*c + 3. Determine g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*l + 203*l - 53*l = 17666930. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a factor of 20613292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25482681 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 4*n = 32*t + 3, 2*n - 1 = -t. Solve 0 = t*k + 20, 5*u + 30 = -5*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**4*y - 4*b**4 + 7*b**3*y - 145*b**2*y + b**2 + 5*b*y wrt b?\nAnswer: 120*b*y - 96*b + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130182 is divided by 14927?\nAnswer: 10766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 332475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*g**3 + 423 + 729 + 358*g**3 - 98*g**3 with respect to g.\nAnswer: 1041*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191816201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -504*k**3 + 79*k**2 + 653*k + 142.\nAnswer: -3024*k + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-2 + 3 - (-9)\/3). Which is the nearest to 0? (a) -1 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 5:59 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 94.53433 weeks?\nAnswer: 57174362.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*h = 5, -m = -3*h - 1 - 2. Let n(w) = -w**2 - w + 13. What is the remainder when (-74 - m)*(-2)\/4 is divided by n(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y**2. Let b(j) = -69*j**2 + j - 1. What is 9*a(n) - 2*b(n)?\nAnswer: -15*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -48*b - 323. Let a be c(-8). Suppose -a = -24*o - 61. Factor -2*u**2 + o - 2\/3*u - 2*u**3 - 2\/3*u**4.\nAnswer: -2*u*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-44) - 3560\/(-22). Suppose -5*f - 2 + x = 0. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132 and -2.96?\nAnswer: -390.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5501, -5526, -5601, -5756, -6021, -6426?\n\"Answer: -5*s**3 + 5*s**2 - 5*s - 5496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 3.04. Let p = r - 3.085. Let c = -1.085 - p. What is the closest to -1\/6 in 5, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 = 348*o - 260 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228274 is divided by 4658.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -407 + 407.5. Let b = 14.5 - 24.5. What is the nearest to 0 in w, -3\/2, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 greater than 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 249 - 159 = 0. What is the common denominator of (6\/z)\/(-3) + (-21)\/40 and 59\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10535 and 27090?\nAnswer: 189630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.03047+-5\nAnswer: -4.96953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22240 + 1023105\/46. Calculate the common denominator of j and -119\/144.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25132 * 4\nAnswer: -100528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - k + 9 = 0, 3*y = 4*y - 4*k + 22. Let g be -1 - (9\/(-3) - y). Suppose 3*u - 13 + 4 = g. Calculate the smallest common multiple of u and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 221, 229, 237, 245, 253?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - 4*z + 3. Let j(c) = -c**3 - 5*c**2 + 8*c + 8. Let i be j(-6). What is the remainder when 36 is divided by q(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let f be j(-7). Let x(m) = -m - 8. Let s be x(f). Let n be (3\/(-5))\/(2\/10). Is s bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from lllaaall?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4782769 is divided by 154?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4116 and 3?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3)*h)**12\/(h**(-1))**(-2\/15) assuming h is positive.\nAnswer: h**(478\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7431356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 + 9*a - 10. Let h(c) = 6*c**2 + 9*c - 9. Let n(l) = -6*h(l) + 5*v(l). Let j(x) = 2*x. Calculate the lowest common multiple of n(-9) and j(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4324215.\nAnswer: 3, 5, 7, 41183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*j - 4374, -5*o - 2*j = -6*j - 7290. Calculate the greatest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {s: 1, v: 3, e: 1, i: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6213*0.1.\nAnswer: -621.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbubu. What is prob of sequence bubu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*r - 84*r - 441266 = 1767809. What is the highest common factor of r and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5217, 21157, 47809, 85167, 133225, 191977, 261417?\nAnswer: 341539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27503644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -l - 342. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c**2 - 27*c - 8. Let x be a(8). Calculate the greatest common divisor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 7600?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -0.6. Let n = -1.8 - i. Sort n, 5, -2.\nAnswer: n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19818179763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**3\/3 + 2113. Let a(v) = -28*v**2 + 12. What is a(i(m))?\nAnswer: -112*m**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -720, -5, 3, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138524888 to the power of 1\/2, to the nearest integer?\nAnswer: 11770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 2 - 2 - b - 4 + 4 + (-3 + 1 + 4)*(-b + 0*b + 0*b) - 2*b + 2*b + b - b - 3 + 3 - b + 4*b - b + (-3 + 5 - 1)*(0 + 1 + 0)*(4*b - 2*b - b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from eeeceeececcec.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 16520 + a**2 - 4*a**2 + 33*a - 16646 - 30*a as f*a**2 + i + j*a and give i.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -46. Let k = -32 + f. Calculate the greatest common factor of k and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855482*a**3*b**2*f**2 + 58*a**3*b**2 - 8*a**2*b**2 + 2*a**2*b*f + 58*a*b**2*f**2 + 2*a*b*f**2 - 264*b**2*f wrt a.\nAnswer: 5132892*b**2*f**2 + 348*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 u when four letters picked without replacement from uuuuujuuuuuuuw?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -21. Suppose 3*u - 1 + 4 = 0. Sort 1\/2, b, u in decreasing order.\nAnswer: 1\/2, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60247038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 8. Let k be w(-6). Let c = k - -7. Suppose 1 = c*a - 5. Solve 4*q - a*q - 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llssssssssssssslsl. Give prob of sequence lll.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4772 - -108?\nAnswer: -4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -530*i + 12 wrt i?\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -3.64. Let i be (1\/1 - 3)\/(-17). Is x at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from duuuddudddfuuu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 66*t + 2574. Let f(b) = -5*b - 198. Let m(p) = -27*f(p) - 2*j(p). Let n(q) = 6. Let h(i) = 6*m(i) - 198*n(i). Let a(w) = w**2. What is a(h(l))?\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133625854 rounded to 3 decimal places?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 4*u**2 - 20*u - 2. Give m(-8).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-165) + (-2)\/(-10). Let j = -12 - -20. Let b = j - 5. What is the closest to -1\/2 in 2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2110 - 2133. Let s(a) = a**2 + 24*a + 12. Calculate s(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 5 (c) -0.05 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 + 57*c. Let v(m) = -687*m - 1. What is a(v(y))?\nAnswer: -1415907*y**2 - 43281*y - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2413 - 4225 + 12120)*(2*o - 3*o + 3*o)*(-1 + 1 - 2) to the form i*o + h and give i.\nAnswer: -21928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -16. Let w = 21 + i. Let g(f) = -16*f**2 + 7*f**2 + w*f**2. Let o(j) = j**2. What is o(g(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1325\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.61 - 0.88. Let w = z - -0.17. Let j = -0.05 - 1.95. What is the second biggest value in w, 2, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - o + 1. Suppose -27 = 8*t - 11. Let w(y) = 3*y**3 - 2*y**2 - 3*y + 4. Let b(v) = t*i(v) + w(v). Give b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271.7 - 272. Let u = -13 + -9. Let d be (3\/u)\/((-15)\/(-20)). Which is the biggest value? (a) 0 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1908522 + 3740702999\/1960. What is the common denominator of r and -59\/16?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*g = 32, 2*g - 4 = -2*g. Calculate the remainder when 98 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2 and -7\/12027206.\nAnswer: 12027206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.1438 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 4, v: 3, n: 2}. What is prob of picking 1 v, 1 n, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844815?\nAnswer: 5, 7, 52709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y**3 - 12*y**2 + 7*y + 1. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-39)\/12) + (-15)\/(-4). Suppose 3*g - z*t + 33 = -53, 2*g + 3*t + 80 = 0. Let s be 0 - 5198 - 1 - (-34)\/g. Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/12)\/(11 - 3273\/300)*3. Solve -10*o + q*o = -105 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 0. Let i = l - -23. Let x = -2.76 - i. Round x to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**7\/168 + r**6\/120 + 4*r. Determine v, given that d(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 494*h**3 - 182*h**2 + 91*h. Let g(w) = 11*w**3 - 4*w**2 + 2*w. Determine -273*g(n) + 6*o(n).\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 2*c**3 - 8*c**2.\nAnswer: c**2*(c - 4)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 5, 20, 41, 68, 101?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/9 and 74\/(26\/(-2) + 4\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (34 + (-32 - -15) - 30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*w - 5*b**2 - 1256*b*w + b - 111*w + 29 wrt b.\nAnswer: 2*b*w - 10*b - 1256*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 22. Solve -c - j = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266350 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002372105007 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*c + 5*q, -2*c = 7*q - 5*q - 12. Solve -c + 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.6 + 0.6. Let p = -2883 + 60542\/21. Which is the second smallest value? (a) p (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*p**2 - 7*p + 17*p**2 - 31 + 0*p**2 wrt p?\nAnswer: -8*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)*1 - sqrt(72))\/(1*sqrt(9)*-2 + -1*sqrt(576)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*62*(-2)\/28. Let d = -1502324 + 1502332. Let d*q**2 + k*q + 4\/7 - 16\/7*q**3 = 0. Calculate q.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let z(f) = -22*f + 12. Calculate 12*k(b) - z(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1053628985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = l - 28. Let b = -26 - -76. Suppose 3*t = b + 22. What is the highest common factor of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4451 - 4453.023. Let k = u + 0.023. Let a be 1\/(-5)*(4 + -2). What is the third smallest value in k, -12, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**6\/10 - 3*q**5\/20 + 7*q**4\/2 - 3*q + 1. Find the third derivative of u(i) wrt i.\nAnswer: -72*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = t - 2, 2*t + 4 = -5*l. Suppose -t*c + c = -6. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 712, 1608, 2864, 4480, 6456?\nAnswer: 8792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 14*l - 865. Let i(u) = -3*u**2 + 9*u + 573. Give 8*i(q) + 5*k(q).\nAnswer: q**2 + 2*q + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 2526275*c - 5052530 = 0. What is c?\nAnswer: -505253, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476 + 476 + q**2 + 4*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65455, 130991, 196647, 262483, 328559, 394935, 461671, 528827?\nAnswer: 596463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257489.\nAnswer: 257489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1, 0 = 2*z - 5*w - 2 + 21. Is 2 a factor of 0 + (-4)\/8*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42637 + 42637 + 1375*x**3)*(5 - 3 - 3).\nAnswer: -1375*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or -5415\/46?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r - 1295*r**2 + 49*r + 3131*r**2 in the form p*r**2 + t + o*r and give p.\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -3. Suppose 0*b + r = 3*b. Suppose 76 = 5*m - b*o, 5*m + 5*o + 1 = 41. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1198 + 1081.7. Let x = o + 19.3. Let j = x - -97.000215. What is j rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4*(7 + -5)) + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from btbbbtbbbtt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-5) + 417\/(-695)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -29.999828. What is i rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2755*n**2. Let v(q) = -53*q**2. Give d(v(i)).\nAnswer: 7738795*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let v = -5.925 - 0.075. Which is the nearest to 0.1? (a) l (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15.8982, -15, 0.1, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.57 + 3.3. Let z = -1.07 + 1. Let d = z - v. What is the third biggest value in -2, 8, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 5*p - 8 = -2*a, 230*p + 8 = 2*a + 232*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152960)\/137664*(-252)\/10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 5. Suppose -5*z + 43 = 38. Suppose y = -4, y - z + 11 = 2*g. Let q(k) = 6*k - 2 + g - 4*k - 8. What is 5*q(l) + 7*w(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4282 divided by 6.\nAnswer: 2141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 100. Let g(j) = -4*j. Give c(g(q)).\nAnswer: -32*q**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/3 - b**2\/2 + b + 3. Let l(w) = -8*w**2 + 4*w - 3. Let u(r) = 4*f(r) + l(r). Find the first derivative of u(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 67*r + 120. What is the remainder when 24682 is divided by q(21)?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 916 - 604. Find the first derivative of -274*p + 939*p - 231 - 313*p - a*p wrt p.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 27600*g**4 + 106330464*g**3 - 125323293124*g**2 + 125004439710*g + 250434090900 = 0.\nAnswer: -1, 2, 2745, 8309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 + 1)*(-13 - -1). Let k = 480 + r. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 8, 2*f + 16 = 3*u - 2*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 210998*p + 210998*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144 - 109.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 + -0.41. Suppose -2*x - 3*x = -5. Let t be (-44)\/(-66)*(-7 + 1). What is the nearest to x in p, -0.5, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 75. Let s = o + -147.15. Round s to 1 dp.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2896323, 2896315, 2896303, 2896287?\nAnswer: 2896267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k)**(-35)*((k**(-1\/4)\/k)\/k*k)**(3\/22))**19 assuming k is positive.\nAnswer: k**(-468445\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 2:18 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/5 or 251.69?\nAnswer: 251.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2706)\/25860 + 2*(-2)\/(-20). Let i = 2\/431 + l. Find b, given that -i*b**2 - 1\/5 - 3\/10*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47616, 95235, 142856, 190479, 238104?\nAnswer: 285731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8460\/2350 - (-116)\/(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let t(v) = -v**2 + 17*v + 16. Let p(a) = 5*c(a) - t(a). Let j(x) = x**2 - 13*x + 18. Let f be j(13). List the prime factors of p(f).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1. Let d(i) be the second derivative of -i**3\/3 + i**2 - i - 21. Let j(o) = -o + 1. Let k be j(0). Calculate k*d(t) - 4*h(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1.1, -0.6 in ascending order.\nAnswer: -0.6, 3\/4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 18 = w, -2*y + 3*w = -w. Suppose 2*a + 132 = m, 0 = 266*a - 270*a - 4*m - 252. Sort a, y, -5 in decreasing order.\nAnswer: y, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3228 + -2283. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:36 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/11 - 11760*m**4\/11 - 641804*m**3\/11 - 6140496*m**2\/11 - 500950*m = 0.\nAnswer: -5825, -43, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6133 * -2.08.\nAnswer: -12756.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 95*q. Let o(w) = 3*w**2. Determine o(k(b)).\nAnswer: 27075*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20452445 is divided by 2045243.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 66*t**2 + 9*t. Let z(j) = -8*j. Give z(v(k)).\nAnswer: -528*k**2 - 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {y: 5, n: 3, g: 2, i: 6, h: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 - 6285.\nAnswer: -6146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1523 = -136*r + 109 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -220*d. Let h(t) = -5*t. Calculate f(h(z)).\nAnswer: 1100*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 165266*g**2\/3 + 3743017630*g\/3 + 13244391866062\/3.\nAnswer: 2*(g + 4319)*(g + 39157)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 + 18*h**2 + 2. Let s(w) = -14*w**3 + 53*w**2 + 6. Let b be -9 + (8 - 5) - (4 + -4). Determine b*s(f) + 17*d(f).\nAnswer: -f**3 - 12*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 40*d**2 + 15*d - 170. Give t(20).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19295576?\nAnswer: 2, 1063, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -5*k + 35563. Suppose 20 = -4*l, 8*c - l - k = 4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.94 - 0.06. Let g = -62239.98 + 62240. What is the second biggest value in j, 0.06, 0.4, g?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238 - p**3 - 238 - 3*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*f = 3*f + 10, 0 = y + f + 8. Let c(q) be the first derivative of -q**4\/4 - 7*q**3\/3 - 9*q**2\/2 - q - 1. Is c(y) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - 2*v. Suppose 0 = 5*h - 11 + v. Solve -h = -d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11634 or 11606?\nAnswer: 11606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -36 (b) -5 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16765 + -268331\/16. Calculate the common denominator of 43\/30 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-3)\/(-6))\/(1\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 62 - (1 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/2975295?\nAnswer: -4\/2975295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + d**2 - d. Let u be k(2). What is the greatest common divisor of u and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) 190 (c) 5 (d) 7\/561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0 + 8. Let b(r) = -3*r - 14. Let v(p) be the third derivative of p**4\/12 + 3*p**3\/2 - 5*p**2. Determine l*v(t) + 5*b(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 306682655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:30 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) - sqrt(99)*-4))\/(4*sqrt(576)).\nAnswer: 5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100011010000 (base 2) to base 14\nAnswer: b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p + t = 0, -t = 5*p. Let b(q) = -q**2 + 5*q + 2. Let o be b(6). Sort o, -2, p in ascending order.\nAnswer: o, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -22. Let s = q + 3. Let t = s - -15. Solve -2*i - t - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z**2 + 6. Let d(k) be the second derivative of -k**4\/12 + k**2\/2 + 638*k. Give c(o) - 6*d(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 = 7. Let z be (-1)\/f + 1156\/12. Let a be (3\/4)\/((-1)\/(-16)). What is the highest common factor of a and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * 24.265\nAnswer: -75.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2885, -210 in descending order.\nAnswer: 2, -5, -210, -2885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + y - 4*y)*(-576 + 190 - 150)*((3 - 5 + 0)*(-4 + 3 + 0) - 2 + 3 + 1).\nAnswer: -4288*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 + 4*x + 1. Let p be y(3). Let l be 10\/p + (1 - -5). Suppose l*g - 240 = -4*n, 3*n - 5*g = n + 92. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8254516 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -7.6, 5, 282, 4, -1\/3 in decreasing order.\nAnswer: 282, 5, 4, -1\/3, -7.6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 = 6. Let m be 12\/28*(u + 10). Solve -c - m = -2*t - 6, 4*c + 14 = -5*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, -0.011?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 455654017 to the power of 1\/2, to the nearest integer?\nAnswer: 21346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 5. Let a(c) = -3*c - 6. Let k be -3*2\/12*(22 - 12). What is k*x(m) - 4*a(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*t - 807 + 1615 - 808.\nAnswer: 216*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 + 6*q - 6. Let p(u) = 45*u**2 + 58*u - 3. Let i(v) = -9*v**2 - 11*v + 1. Let l(x) = -11*i(x) - 2*p(x). What is 3*b(c) - 4*l(c)?\nAnswer: -12*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 divided by 265?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.34248 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p = -14*p - 89*p + 888. Solve -p*x = 25*x + 203 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 24*o + 38. Does 49 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5294*f**3 - 13816*f**3 + 0*f + 0*f.\nAnswer: -8522*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58525?\nAnswer: 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.989 - -33. Round b to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1812?\nAnswer: 28992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-3)\/((-72)\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 3*w + 5 + 13*w + w.\nAnswer: 21*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, -26, -93, -198, -347?\n\"Answer: -n**3 - 10*n**2 + 2*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2*k**6\/3 - k**4\/12 + 5*k**3\/6 + 49*k**2 - 10*k - 21. What is the second derivative of d(l) wrt l?\nAnswer: 240*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 51. Let k(a) = 134*a + a**o - 134*a. Let j(d) = 70*d**2. Calculate j(k(g)).\nAnswer: 70*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*o + 71371 = 12661 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 207\/45 - (-4)\/10. Let l be 0 - (-1)\/3*-3. Let h = k - l. What is the smallest common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g - 6 = -93*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 749*y**3 - 3*y**2 - 6*y. Let q(u) = -2*u**3 + u**2 + 2*u. Give 6*q(h) + 2*t(h).\nAnswer: 1486*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 2*l**3 + 3*l**3 + (l - 2*l + 2*l + (2 + 2 - 6)*(0*l + 2*l + 0*l))*(-99*l**2 - 207*l**2 + 49*l**2).\nAnswer: 773*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8962 is divided by 283?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.299.\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11 - 15*k + 42*k + 25 - 8 - 16*k. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(36\/(-6) - -20)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 778600 = u. Let c = u + -953488. Let t = -197768 - c. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 22. Let p = -18 + u. Let t(x) = -2*x - 1. What is the units digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (7 - -8)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + w - 9, -5*g + w + w + 8 = 0. Suppose 2*q + g = 5*k - 3, -q = 5. Which is smaller: -4\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**2 - 1491 + 3423 - 24824.\nAnswer: -24*b**2 - 22892","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/11 + 112*n**2\/11 - 2*n\/11 - 112\/11 = 0.\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -15, -30, -53, -84, -123, -170?\n\"Answer: -4*n**2 + 5*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 7. Let f be z(5). Suppose -7 = -f*j - 1. Let q = 4 - j. Are -0.2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -977.71, 770, 0.\nAnswer: -977.71, -3, 0, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 3, c: 3}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 - 6)*(-q + q + 2*q + 3*q - 3*q - 2*q + (-2 + 1 + 3)*(-2*q + 3*q - 2*q) - 2*q - 3*q + 3*q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 2040 + 13632. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*f = 222, 0 = -f + 4 - 1. Let h = l + -38. Let u = 57 - h. Solve 5*n - 30 = 3*t + t, n + 4*t + u = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 11, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473790 = -15*q + 3465. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**5\/20 - l**4\/2 + 2*l**3 - l**2 - 4. Let i(b) be the second derivative of v(b). Suppose i(x) = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 13. Calculate f(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101*k + 81 - 28 - 356*k - 75*k + 86*k wrt k?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1801 - 5564\/3. Let z = 2090\/39 + l. Let s be (-5 - 5\/(-5)) + 3. Is s greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*3 - (sqrt(686)*1 + sqrt(686)))\/(sqrt(252) - -1*sqrt(252)*1 - (sqrt(252) + -1*sqrt(252))*-5).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 23*g + 6. Determine x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130.6 - 131. Let f = 200.841 - 201. Let z = f - -0.059. Put z, b, 1, -4 in descending order.\nAnswer: 1, z, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100011 + 100010110?\nAnswer: -10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**4\/7 - 414978042*s**3\/7 - 14350564196868099*s**2\/7 + 28701129638670336*s\/7 - 14350565026824192\/7 = 0.\nAnswer: -69163008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1201743 and 10152?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 3 (b) -23\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 4 + 4)*(4 - 2 - 3)*(15 + 1 - 3).\nAnswer: -78*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, k: 1, j: 1, w: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.26, -3\/29, 2\/7, 4\/7?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10524, -21679, -33464, -45873, -58900, -72539, -86784?\n\"Answer: n**3 - 321*n**2 - 10199*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 + 223 + 220 - 5*z**2 - 661 + 13*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/5 + 186*y**2\/5 - 735*y + 4500.\nAnswer: -3*(y - 25)**2*(y - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(300)\/sqrt(5) + sqrt(60) + sqrt(720)\/(sqrt(24)\/sqrt(2)))\/(-2*(sqrt(5) + sqrt(2205))).\nAnswer: -7*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac7483 + 1?\nAnswer: 1ac7484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 1 + 2. Let t be (-1)\/(s - 12\/(-11)). Let k(v) = -v**3 - 12*v**2 - 12*v - 7. Let l be k(t). Solve 0 = 3*m + 2*n - 2, 7*m + 8 = 4*m - l*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172710 and 150.\nAnswer: 863550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = 2*t - 18, 5*i - 5*t = 15. Suppose 0 = -i*l - 2*h, 3*h + 2 = -3*l - 1. What is the greatest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4b + 5?\nAnswer: c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**2 + 10. Let b(s) be the second derivative of s**4\/4 + 3*s. Calculate b(y(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Let z(t) be the second derivative of -t**6\/180 + t**5\/60 - 13*t**3\/2 + 3*t - 3. Let n(b) be the second derivative of z(b). Determine n(o(f)).\nAnswer: -2*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96768*x - 401408 + 1458\/7*x**3 - 7776*x**2.\nAnswer: 2*(9*x - 112)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 7. Let w be 4*4\/(32\/14). Let g(x) = 2*x - 3. Let f(v) = w*g(v) - 3*z(v). Let r(m) = m**2. What is f(r(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-20)\/320 - 16038\/(-96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/14 and 69\/3286696.\nAnswer: 3286696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h - 21 = -3*d + 49*h, 0 = -2*d + h + 14. Solve 5*i - 12*i - d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u - 27. Let j be p(-4). Suppose 23 - 3 = j*b. Solve b = 2*r + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k - 10*k + 287. Solve 0 = 7*w + k*w - 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 12*c**2 + 55*c - 303. Let a be r(6). Solve -a = 33*i + 21 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 18*c + 6. Let h(n) = 3*n**2 - 19*n + 5. Suppose 36 + 18 = -9*f. Let d(q) = f*h(q) + 7*k(q). Factor d(o).\nAnswer: 3*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000858395675 rounded to 6 dps?\nAnswer: -0.000858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*t - 378 = 1856*t - 83512 - 220610 for t.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f + 0*f + 55595*f**2 - 55556*f**2. Let n(a) = 2*a**2 + 4*a + 4. Let p(w) = 3*w**2 + 5*w + 5. Let k(z) = -5*n(z) + 4*p(z). Give c(k(h)).\nAnswer: 156*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 44. Let j be 1940\/c - 8\/44. What is the greatest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0407, -3, 4, 2\/7, -0.1 in increasing order.\nAnswer: -3, -0.1, 0.0407, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 6 = 5*g + 4, -3*u - 13 = -14*g - 0*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.5 - -78.5. Let v = 66.99971 - f. What is v rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26264 - 3631. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 5 + -11 + (-24)\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = 0, -4*w - 4*f = -113 - 43. Suppose -c - 37 + w = 0. Solve -2*p + p = -2*l + 14, -c*p = 5*l - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(8\/5)*m**(-34)\/m*(m\/m**(-2\/95))\/m**(3\/10) assuming m is positive.\nAnswer: m**(-6209\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 230?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 41. Suppose 0 = -f - 4*w + 8, -2*f - 2*f + n = 5*w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-28) - 4 - -4*1. What is the smallest value in -4, 3, n, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-6)\/(-27))\/(1\/(((-1320)\/(-15))\/11)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 8.95275, -51\/5 in descending order.\nAnswer: 8.95275, 1\/3, -51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 28 = 3*x. Which is the nearest to x? (a) 3\/2 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 11*a**2 - 15*a + 68. Let d be r(14). Let z = d - 414. Let q = -75 + 108. Is z at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(165) - (sqrt(165) - (sqrt(165) - sqrt(165)*2))) + sqrt(165))\/sqrt(5))\/(-2*sqrt(300)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4960450.53 microseconds?\nAnswer: 0.000008201803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.12 (b) 0.035 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2164, -3988, -7028, -11284, -16756, -23444, -31348?\n\"Answer: -608*l**2 - 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, s: 1}. Give prob of sequence uus.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiz when three letters picked without replacement from {z: 3, y: 2, i: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o + 780 = 78*p - 82*p, -3*o + 18*p + 55 = 17*p for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 7 + 23. Differentiate 21 + 17 + 2*q - 9*q**f + 0*q with respect to q.\nAnswer: -18*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 30, 95320, 3, 1 in decreasing order.\nAnswer: 95320, 30, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(12\/16*2)*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -221. Suppose -s*o - 3508 = -126*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -671, -1341, -2011, -2681, -3351, -4021?\nAnswer: -4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/28 - 50\/(-14). Solve 0 = -2*u - 2*y - b, -10 = -y - 4*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0 + -5 - (sqrt(300) - (sqrt(300) + 1 + 5 - sqrt(300)))) + 2 - -3*(0 + 2*sqrt(300))*5)**2.\nAnswer: 1800*sqrt(3) + 270009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(6\/24). Let q = 0.11 - 1.91. Let f = q - -1.6. Which is the third smallest value? (a) -0.04 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -420, -411, -402, -393, -384, -375?\n\"Answer: 9*i - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5 - 6*w**2 - 16*w**3 + 0*w - 5*w + 15*w**3. Let l be a(-5). Let z(y) = -3*y - 8. Let d(s) = -4*s - 8. Let o(k) = -4*d(k) + 5*z(k). Determine o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 18*m**2 - 2*m + 38. Let y be x(18). Let j be ((-1)\/y)\/(45\/15). Let n = 1.2 + -0.2. What is the closest to j in 4, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*z + 5, 4*z = 5*j - 0 + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 818053 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213527951*y**2 - 106763789*y**2 - 106764159*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750) - -1*sqrt(750))\/(sqrt(1000)*2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.3759mg to tonnes.\nAnswer: 0.0000008833759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3644 + 1413. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4\/9, -6, 0.5, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*y + 204*y = -2530 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxw when four letters picked without replacement from oqxqwqxxqxzxqxx?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79912, -159825, -239738, -319651, -399564?\n\"Answer: -79913*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220221021200 - -22?\nAnswer: 11220221021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 55245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 231, 2412, 8299, 19734, 38559, 66616, 105747?\n\"Answer: 307*a**3 + 11*a**2 - a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101037098 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + 14\/6). Suppose i = -3*n + 12, k*i - 5*n = i - 9. Let v be (-272)\/(-168) - 1\/i. Is 0 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6190.325 millilitres in litres?\nAnswer: 6.190325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71686 - 2105*p - 4*p**3 + p**3 - 143380 + 71694 + 2105*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2139 = 3*r - 141. Is 28 a factor of r\/(-8) + (-6 - (-135)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 + 1. Let s be v(0). Let f = -6 + 3. Let m be -15*s*1\/f. What is the smallest value in m, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*a - 4220, -5*a + 0*a + 2532 = 3*z. Let w = z + -8473\/10. Find the common denominator of (2\/11 - (-183)\/(-462))\/(1566270\/(-9000) - -174) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308.02 * 18.\nAnswer: 5544.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*n - 14196 - 6578 = 31866 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {l: 1, i: 2, a: 6, h: 1, q: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5)*h)\/(h**(4\/7)\/h)*h*(h\/(h*h**(-3)))\/h*h*h\/h**(1\/4))\/((h**(-1))**41\/(h**0\/h**1)) assuming h is positive.\nAnswer: h**(6493\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63053784277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103 <= 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*r**3 + 7*n**2*r - 6*n*r**5 - 6*n*r**2 + 2*r**2 wrt r.\nAnswer: 6*n**2 - 360*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382229857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9 = 2*p - 3*t, -4*p + 8*t = p - p + 28 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 4*i. Solve h = 3*v - 8, -i*h - v = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 2*n + 51. Let k be v(23). Let o = k + 1453. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 5) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let u(l) = -8*l + 10. Let z(t) = 3*t - 6. Let d(k) = 3*u(k) + 5*z(k). Determine i(d(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266429 and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(-22))\/(-16*(-46)\/(-4048)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3604, -14355, -32370, -57733, -90528, -130839?\nAnswer: -178750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:00 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - -0.58. Let b = -0.4 + f. Let j = 17487 - 17488. What is the third biggest value in j, b, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*10\/6*1. What is the units digit of (g - -4)*2 + 28\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0307 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 4*d - 85, 3*j + 2*d + 4378 - 4331 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -284*r**2 + 1988*r + 3976. Let n(y) = y + 2. Determine -5*a(d) + 9940*n(d).\nAnswer: 1420*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9603\/1164)\/(6\/(-72)*30\/10).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4037 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 30. Let a be 22\/(-22) - (15\/10 + -4)*2. Determine s(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743, -908, -1359, -2240, -3695, -5868, -8903?\nAnswer: -12944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 13*o**3 + 22*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, 0.13, 0.1.\nAnswer: -3, -1, 0.1, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2635616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (9217\/(-14 - -1))\/(4\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 35*n = 190. Solve -n*z + 8*z = 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*b - 5*b - 6 = 0, 5*u - 4*b = 15. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, m: 2, j: 2, a: 4, t: 1, w: 1}. What is prob of picking 1 z, 1 j, and 1 m?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**4 - 2442*p + 4 + 2442*p with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {k: 2, w: 5, m: 11, n: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 10*p**2 + p + 2. Let i be m(10). Let s be ((-4)\/12)\/((-1)\/i). Solve -2*b + 12 = -3*b - 4*u, -s*b = -5*u + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20) + sqrt(60)\/sqrt(3)) - sqrt(20))\/sqrt(4) - ((sqrt(50) + sqrt(200))\/sqrt(10) - (-2*sqrt(125) - sqrt(125))).\nAnswer: -17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, -94\/3, -2\/9, -2\/5, -28, 9\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -3\/4, 8, -0.4, -22\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.06 + 30. Let d = 0.06 + q. What is the nearest to -1 in 4, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 562*r**3 - 1672*r**3 - 2*r - 826*r**3)*(-1 - 6 + 9)*(2 + 0 + 0).\nAnswer: -12240*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.16681*-108\nAnswer: -18.01548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/161 and -8\/1449.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 558*t - 38492. Give k(69).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*l = -3, 127*l - 21 = -2*c + 132*l. Solve 8*v + 2 = i + 10*v, i - c*v - 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1872)*-3 + sqrt(1872))**2.\nAnswer: 7484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 16*g**3 + 6*g**2 - 6*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0 + 2*b - 5 - 4. Let x be y(7). List the prime factors of 8\/(-5)*x\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/30*(3 + -1). Let z(c) = -3*c - 1. Let o be 1\/(-2 - 1*-1). Let i(r) = r. Let a(x) = o*i(x) + t*z(x). Find the first derivative of a(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*h = -17, -4*f - 4*h = -5 - 71. Suppose 5*a - 27*a = -110. Suppose -3*u = -a*u + f. Solve -b + 6*b - 25 = -5*v, 0 = -4*b + 2*v + u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - 4*l - 13. Let i(h) = h**2 + h + 3. Let j(x) = -9*i(x) - 2*r(x). Let m(f) = -2*f**2 + 6*f + 6. What is 6*j(w) + m(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -397082, -2, -44\/3 in decreasing order.\nAnswer: -2, -44\/3, -397082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*d + 3*d + 21, 0 = 3*u + 2*d - 6. Solve -y - 6 = -u*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let h(b) = -662*b**3 - b**2 + 49*b + 95. Let w be h(-2). Suppose 5*x + 7*r - 5325 = c*r, 0 = -5*x + 4*r + w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + -207. Suppose 16 = -4*l - 4. What is the second smallest value in 0.3, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) + (sqrt(90) - (-5*(sqrt(90) - sqrt(90)*2) + sqrt(90))))\/(-2*sqrt(162)) + 2 + sqrt(20)\/sqrt(4)*-1 + -3 + 0 + sqrt(10)\/sqrt(2) + sqrt(5).\nAnswer: -1 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 223*z**2 + z - 223.\nAnswer: -(z - 223)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bb (base 15) to base 12.\nAnswer: -a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - (-150)\/(-18)) + 80\/15. Let m(j) = 2*j**2 - 11*j + 12. Calculate m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-2)*8\/(-10). Let l = -143 + 140. Let z = l - m. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3724.\nAnswer: 5\/3724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miaimiaiaiaiiaiiama. Give prob of picking 1 a and 3 m.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -440.36 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334 by 1.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3022 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361 and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17894462.\nAnswer: 2, 2063, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 200*p**2 + 2*p**3 - 199*p**2 + 2 + 1 - 3*p as u*p + y*p**2 + v + w*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -9*l + 5625. Let y = l + 1196. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -342, -379, -444, -543, -682, -867, -1104?\n\"Answer: -v**3 - 8*v**2 - 6*v - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:55 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3782 divided by 863.\nAnswer: -3782\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, 114, 1\/6, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 519, 3.66, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -147 + -662.913621\nAnswer: -809.913621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 2 - 39) + (0 - -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 278 = -5*b - 24*b, 4*d + 14*b + 88 + 110 + 6 = 0 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 9:01 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -15. What is the first derivative of -k*w + w + 0*w + 3 - 1 wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29174 - -29559. What is the remainder when 1165 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -924.16 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -79, -92, -89, -58, 13, 136?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746548589?\nAnswer: 3, 317, 1836539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Suppose -g*p = -40 - 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91\/20 + -19\/4. Which is the second biggest value? (a) w (b) -1 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = r + 2*m, -3*r = -4*m + 13. What is the smallest common multiple of r and 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -84. Suppose 3*x + 5*r - 241 = 0, 0 = -x - x - 3*r + k. Let c be x\/(-14) - (-2 - 0). Are c and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**8\/24 + i**5\/12 + 7*i**2\/2 - 3*i. Let w(k) be the first derivative of n(k). What is the third derivative of w(r) wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1106806 or 1106803?\nAnswer: 1106806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 - -654364?\nAnswer: 654463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*s + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/113 (b) -4\/603865 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133039.\nAnswer: 133039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -38. Suppose 4*t - 118 = n*t. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5833933*a - 125433052?\nAnswer: -5833933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 - 244*x**2 + 122*x**2 + 122*x**2 + 6*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 326896109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069092867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**8\/336 + q**4\/4 + 3*q**2 + 12*q. Let n(r) be the first derivative of g(r). Find the second derivative of n(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.2, 0.1, -2\/3 in decreasing order.\nAnswer: 0.1, -0.2, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217*o - 16*o + 93*o + (2*o - 3*o + 0*o)*(-1 + 3 - 1))*(-2*o + 3 - 3).\nAnswer: -586*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 11*n - 2*q - 14, q + 9 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122130 - -32?\nAnswer: 122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 57 - 298*u + 70 in the form h + v*u and give v.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3112092, 3112089, 3112086, 3112083?\n\"Answer: -3*q + 3112095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:56 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = 3. Let f = a - 7. Let j(d) = 5*d**2 + 2*d - 3 - f + 2*d - 4*d**2. Determine j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/((0 - -1) + -2). Suppose 0 = i - 6*i + n. Let u(q) = -q**2 + 2. Let h be u(i). Is -4 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 8*h**3 + 4*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -15*k**3 + 71860*k**2 + 6092085*k + 2022710 = 0.\nAnswer: -83, -1\/3, 4874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -31 - (-290)\/10 - (-2)\/(4\/6). Let v = 7.8 + -3. Which is the nearest to -1? (a) -1\/3 (b) -1 (c) o (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2343*c + 2285*c = -1508. Let l(b) = b**3 + 7*b**2 + 2*b - 7. Let q be l(-6). Are c and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 33. Calculate the greatest common divisor of 28 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let s(n) be the first derivative of n**4\/8 + 13*n**2\/2 - 6. Let h(u) be the second derivative of s(u). Give j(h(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334 + 0.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 645 and 5162295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -851, -4122, -9813, -17924, -28455, -41406?\n\"Answer: -1210*q**2 + 359*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.2. Let g = -30.385 - -25.385. What is the nearest to -0.4 in g, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -848 (base 9) to base 6\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 20 = 3*o - i, -5*o + 2*i + 15 = 0. Suppose -o*s - 7 = -32, -3*s = -3*m - 39. Is 22 a factor of 0 + 46 + m\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 101?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (1820\/105 + -4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1566481 * 5.\nAnswer: 7832405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 - 11*q**3\/6 - 7*q**2. What is g(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 376492 - 5?\nAnswer: 376487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 3*n - 2*n - 4*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 31*i - 195 = 0. Let q(r) = r + 27. Determine q(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 0 - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -0.95\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 bigger than 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -79, -70, -59, -46?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5\/3 (b) 0.3 (c) -1\/37 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850520 is divided by 34009?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -776 equal to -750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-1)))**(3\/7)*x**6*x*x\/(x*x*x\/x**(-4)) assuming x is positive.\nAnswer: x**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w + w - 23*w - 164286 = 0. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 + l**2\/2 - l + 18. Let t(s) = -2*s**2 + 3*s - 2. Give -2*i(a) + t(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 6*p**2 - 5*p + 1. Calculate j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 39. Suppose z*m - 21 = -3. Solve 3*c = -0 - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18\/13, -0.13.\nAnswer: -4, -0.13, 18\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538 > 3530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and 53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1043, -50, 6 in decreasing order.\nAnswer: 1043, 6, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118583 + 3*f**2 - 7*f + 118583)*(0*f - f + 0*f).\nAnswer: -3*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 998115872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 + 85. Find the common denominator of 2*1 - y\/(-85) and -65\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/7 (b) 109.3 (c) -0.04 (d) 3 (e) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 109. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531140050 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6314 and 2.33.\nAnswer: 6.131162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6927*f + 6673*f + 15747*f + 6928*f.\nAnswer: 22421*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 16*r - 23. Let z be g(-17). Let q = 16 - z. What is the least common multiple of 8 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20068\/(-464) - (-5 - 46)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4, 6 = 2*c - i - 83. Suppose t + 4*d = 6*t - 34, d = -4*t + c. Let b = 14 - t. Solve -n + b = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - 139. Suppose 10 = 2*b, -4*u + 4 = -t*u + 4*b. Which is smaller: 18 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c2 - 1?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1361 divide 1861848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5624*s**3 - 70*s - 18*s**4 + 5622*s**3 + 20*s**4 - 4*s**2 to the form j + f*s**3 + c*s + a*s**4 + l*s**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.384, -3\/10, 2\/9 in descending order.\nAnswer: 2.384, 2\/9, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*f + f - 18, 5*i - 52 = -3*f. Calculate the remainder when 48 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, -1, -2, 0.\nAnswer: -5, -2, -1, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 5*o - 40, -2*f + 4*o + 6 = 0. Let x = 1\/8 + -25\/72. Which is the nearest to 1\/4? (a) x (b) f (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -9. Let f = 675 + -670. Solve 0 = 3*p - 4*k + f, -2*p - k + 18 = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10719, -10756, -10801, -10860, -10939, -11044, -11181?\nAnswer: -11356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 4. Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12432 + 32?\nAnswer: -12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -43 + (-1)\/(2\/(-5 - 1)). Let a be (-2 - -1)\/(8\/i). Solve -5*p + o = -a, -p + 5 = -6*p - o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 - 9*n**2 - 5*n**3 + 0*n - 5\/24*n**4. Is 15 a factor of c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 + 9*z + 18. Let j be w(-2). Which is smaller: j or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.365 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m + 1\/72*m**4 + 1\/120*m**6 + 1\/630*m**7 + 1\/60*m**5 + 0*m**3 - 3*m**2 + 0. Determine l, given that z(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3522*f**3*t**2 + 807846*f**3 + f**2*t**2 wrt t?\nAnswer: -7044*f**3*t + 2*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2) + -5 + sqrt(18) - (sqrt(18)*5)**2) + 3*(-1 + sqrt(162))).\nAnswer: -62*sqrt(2) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1672 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(121)*-4)\/(sqrt(704) + sqrt(704)*-4 + sqrt(704)))**2.\nAnswer: -495\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*b + 82. Solve -5*l - 3*q - 4 = 15, -2*l + 2*q = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 8852001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115463\/12 + 9613. Let c = -213601\/25892 + -2\/6473. Let a = u - c. Put -0.5, 2, a in increasing order.\nAnswer: a, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91305*g - 5 + 52020*g + 12321*g + 5.\nAnswer: 155646*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20330617*c - 5416673.\nAnswer: -20330617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795908?\nAnswer: 2, 698977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9848861g?\nAnswer: 984.8861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -36*z + 4645. Let w be x(129). Let v(j) = j**3 - j + 1. Let o(r) = 10*r**3 - 83*r**2 + 2 - 2*r + 83*r**2. Give w*o(f) - 4*v(f).\nAnswer: 6*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2. Let h = 71 + -65. Let u(f) = f. Let d(a) = a. Let b(i) = h*d(i) - 3*u(i). Calculate w(b(g)).\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9911821 tonnes to micrograms.\nAnswer: 991182100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 963248 and 1232.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 105*y**3 - 2*y**2 + 1. Let h be r(1). Find the common denominator of 26\/h + 0 + 25\/3 and -47\/38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**3 - 4*o**2 + 3. Let d(h) = 5*h**3 + 3*h**2 + h - 2. Calculate -3*d(g) - 2*u(g).\nAnswer: -3*g**3 - g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.025 + 0.167. Let o = 2.192 - n. Put -2.6, o, 1, 1\/4 in decreasing order.\nAnswer: o, 1, 1\/4, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (59\/10)\/((-12)\/(-15)) and 1088\/(-68) - (-112)\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-1960) + 2\/5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose -h + 3*h - z = 0. Suppose 6*j + 3*k - 36 = j, -h*j + 4 = -4*k. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*u - 1 + 5, -4*a + 3*u + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 11*f**2 - 13*f - 11. Suppose 44 = -2*h - 3*h + 4*l, -2*h - 3*l = 36. Let b be r(h). Is b smaller than 1\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c - 8. Let s be ((-6)\/(-15))\/(1\/c). Let v = 122.92 - 123. What is the third smallest value in v, -0.4, s, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t + 3*i - 496 = 0, -4*t = 5*i - 990. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 72. Let m(b) = -3*b + 4*b**3 - 3*b**3 - 4*b**2 + 6*b - y. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -0.4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-18))\/(20\/24). What is the nearest to 0.1 in 3, a, 1, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 3. Let n be (-2 - (-20)\/6)*(-6)\/(-4). Let z = 8 + -1. Let a(y) = -z*y - 6 + 2 + 5*y. Give n*a(c) - 3*k(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let s(a) be the first derivative of 0*a - 4\/3*a**3 + 13*a**2 + 67. Calculate x(s(p)).\nAnswer: -12*p**2 + 78*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-112)\/20)*16\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 2*n - 7\/4.\nAnswer: -(n + 1)*(n + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10*w = 1521. Calculate the lowest common multiple of w and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 7:05 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242978 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 9, c: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*h**2*n - 2*a*h**2*v**2 - a*h*v - 2*a*n**3 + 74*a*n*v**2 - 3*h**2*n*v - 2*n**3*v**2 - 28*n*v wrt v.\nAnswer: -4*a*h**2 + 148*a*n - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057347465 rounded to 7 dps?\nAnswer: -0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 2*d - d)*(-d + d + d) + (-1 + 2 - 2)*(d - d**2 - d) - d**2 + 3*d**2 + 0*d**2 + 2*d**2 - 3*d + 3*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, -373, -919, -1465, -2011, -2557?\n\"Answer: -546*m + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9 + 22 + 3 + 2 + 12\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1632 - -0.4\nAnswer: -1631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29581 by -40.\nAnswer: 29581\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15 - 60. Solve 2*u - 3*z = h, 0 = 4*u - 6*u - 5*z - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36595 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.28, -1\/3515, -4\/7, -10, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.943031mg in grams?\nAnswer: 0.006943031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.9549 litres in millilitres?\nAnswer: 866954.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 298276*r**2\/7 - 298278*r\/7.\nAnswer: 2*r*(r - 1)*(r + 149139)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 10*o**2 - 6*o - 1. Let l be d(6). Let s = 184 - l. Let k = -39 + s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -7*i + 20*i. Let w be (i + 2 + (0 - 1))*-1. What is the second smallest value in w, 5, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.74938ng in micrograms?\nAnswer: 0.07074938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/90 + 4\/(-70)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156518*n**2*v*y + 17*n**2*v + 21*n**2*y - 34608*n*v*y - 2*n - 2*v*y + 649 wrt n.\nAnswer: 313036*v*y + 34*v + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 + w - 15. Let l(d) = d**3 + 8*d**2 + 11*d + 24. Let q be l(-7). Calculate the remainder when g(q) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 117c15a9?\nAnswer: -117c15a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 30*t**2 + 872*t + 75. Determine z(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -5\/56361178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqyap. Give prob of picking 1 a and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + (19 - (37 - 21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 11*p**2 + 7*p - 5. Let w(c) = 7*c**3 - 22*c**2 + 13*c - 9. Let t(q) = 9*h(q) - 4*w(q). Let i be t(-12). Solve -i*s - 2 = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3057.057 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 415, 892, 1543, 2362?\nAnswer: 3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 552*g**2 - 9 + 8*g + 27*g + 4*g - 69*g wrt g?\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*o + 6192 = -8288 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -590 minus -2060086870?\nAnswer: 2060086280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + 10*q**2 + 280*q + 5. Let t(r) = 4*r**3 + 12*r**2 + 280*r + 6. Give 5*t(y) - 6*x(y).\nAnswer: 2*y**3 - 280*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 166 = 2*p. Let m = 196 + p. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -36, 0, -0.1, -1\/1144?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -5*a + 12*s - s - 7*s, -6*a + 107*s - 113 + 348 = -3*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + 5 + -4 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 686714139 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: Let l(w) = -24*w - 7. Give l(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (65\/(-39))\/(5\/(-15)). Let k(l) = -4*l - 4. Calculate k(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41820159?\nAnswer: 3, 19, 733687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-3))\/((-1)\/6). Suppose 5*g + i = 0, -4*x - g - 2*g = -36. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 16639698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 42185. Let j be -1*(-5 - (-228)\/42 - (-6)\/(-14)). Suppose 7*p + 6*p - y = j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a + 6. Let j = 9 - 5. Suppose c + 2*c - 5 = 5*t, -31 = j*t + 3*c. Let n be d(t). Solve 0*y + n*y - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*k = 323*k - 5*p + 29, -3*p = -3*k + 4*k + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 1\/5, -4, 7, 19 in increasing order.\nAnswer: -4, 1\/5, 3\/11, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 3*l. Let m(r) = 2*r**2 - 2*r - 2. Suppose -10 = -3*t - 2*t. Let a be m(t). Let w be z(a). What is the greatest common divisor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -748*s**2 + 723*s**3 + 59353*s - 59354*s - 242*s**3 wrt s.\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -22. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/6))\/l*l)\/l**(-6)*l**(3\/4)*l\/l**(-1\/2)*l**(-1\/3)\/l**7*(l**7\/l)\/(l*l*(l\/(l\/(l\/(l\/(l*l**(-2)*l)))))\/l) assuming l is positive.\nAnswer: l**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*f + 536*f - 2599*f + 531*f + 503*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20125 divided by -4025.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - -171.21643?\nAnswer: 171.19643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1066254, 0.8, -0.5?\nAnswer: -1066254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 299047?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -33. Let p be (q\/12)\/((-2)\/3). Suppose 3*r - 4*r - 2*i = -11, -i - p = -3*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2\/2 - 15*y - 24 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 73, 198, 425, 784?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7283 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 215*j**5 + 840*j**4 + 135*j**3 - 1310*j**2 + 120*j = 0.\nAnswer: -3, -2, 0, 4\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2 (c) 9 (d) -33 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:46 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 30. Suppose 5*o - l = 10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2411? (a) 4 (b) 5 (c) 1\/192 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 405. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:55 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)*(x*x\/((x\/(x\/x**(-4))*x)\/x)*x)\/x)\/((x\/x**(-2\/13))\/(x**(7\/5)*x)) assuming x is positive.\nAnswer: x**(471\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4911260\nAnswer: -1\/982252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 11*w - 7. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*p + 4*k + 87, -51 = -2*p - k. Let d = p - 14. What is the remainder when 14 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -24, -65, -132, -231, -368?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3008 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -7, -1, 18, -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 15 + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 486. Let g = r + 198. Which is the closest to g? (a) 0.04 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3288 + -16438\/5. Let j = -0.22 + -1.68. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.72 - -0.62. Let m = z + 39. Let t = -4.9 + m. Which is the nearest to 1? (a) 2\/5 (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5430*z + 5386*z - 10852*z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12515*6026.\nAnswer: 75415390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*h + 6 - 22, -5*g + h = 4. Suppose -3*l = -3*u - 27, -2*l - 18 = -4*l - 2*u. Solve g = l*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 95959?\nAnswer: 47\/95959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4377 - -4059. Which is smaller: p or -304?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101010110011 - -10001011011?\nAnswer: -1000011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -562004*l + 562103*l - 198 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 595*q - 1. Let r(m) = -216*m - 2. Determine r(b(w)).\nAnswer: -648*w**2 - 128520*w + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.1 and 178.\nAnswer: 4289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3 = 2*b, 3*b - i + 263 = 262 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7683 - -1926. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let n(i) = i**3 + 14*i**2 - i - 12. Let z be n(-14). Suppose 0*j + 3 = -3*j, 0 = 2*x - z*j. Sort x, s, -3.\nAnswer: -3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.817832 months to years.\nAnswer: 1.651486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (9 - 7) + (-1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from cidzsdiskssd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**3 - 2*l**2 - l + 2. Let d be s(1). Let v = d - -80. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.1 (c) 0.008788 (d) 0.3 (e) 14 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0224*-0.07\nAnswer: 0.001568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 19\/(-57))*32730\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 9882802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 36*a**2 + 3*a + 1472. Determine c(0).\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1855, 3713, 5565, 7411?\nAnswer: 9251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*45\/(5805\/43).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 59552043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(((p\/p**(-9))\/p)\/p)*p*p\/p**(-2)*((p**(-2\/7)\/p)\/p)**(-1\/4) assuming p is positive.\nAnswer: p**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8127)\/(-688))\/63*20\/3\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6098184 divided by -1524546\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 22 = -f, 13*f + 7 = 12*f + 2*u. Suppose 0 = f*a - 2*q - 671, -454 = -2*a - 5*q + 3*q. What is the greatest common divisor of 600 and a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3181662 and 108?\nAnswer: 19089972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**7\/70 + z**6\/25 - z**4\/10 - z**3\/10 - 18*z + 24. Let h(g) be the first derivative of p(g). Factor h(v).\nAnswer: 3*v*(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89072b (base 14) to base 5\nAnswer: -2142242442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*c - 2 = 3*c, 5*c - 10 = -5*p. Solve 2\/13 + 4\/13*w + 2\/13*w**p = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46354613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -444259 - 0.04\nAnswer: -444259.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/3) - -119. Let o = l - 80. What is n in -20*n**3 - 54*n**3 + 4 - o*n - 50*n**3 - 51*n**2 + 48*n**4 + 159*n**2 = 0?\nAnswer: 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17*h + 24. Let l(j) = -24*j - 4 - 18*j - 56. Let f(i) = 5*l(i) + 12*p(i). Differentiate f(v) with respect to v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 586082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68328.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -137\/6 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/11))**(-10\/13))**(-3\/17))**(-23\/3) assuming a is positive.\nAnswer: a**(230\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137978 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.00596 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/58 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -10 - 12. Let w = 51 + -72. Let j = w + b. What is the smallest common multiple of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87, -80, -73, -66, -59?\n\"Answer: 7*h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19359923*h**2*p**2 + 5337*h**2 + h*p - h wrt p.\nAnswer: -38719846*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7938*c - 6056703. Give q(-763).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -9 (c) -0.08 (d) -144.79 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30039*b + 68654 - 68654 - 4*b**2 + 30035*b.\nAnswer: -4*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/95 and -33\/425.\nAnswer: 8075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/3)*f)**(-11)\/(((f\/(f\/f**1))\/f)\/((f*f**(-3\/4)*f*f)\/f*f))*f\/(f*f\/f**(-1))*f*f**(-2\/9)*f**2\/(f*f*f**(-4)*f) assuming f is positive.\nAnswer: f**(-383\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33124781 is divided by 1908.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 22 = 6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Let f = 0.06 + 0.94. Let u = 0.7 + -0.4. What is the nearest to f in u, q, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**2 - 601 + 601 - 5*f**2 - 7*f**2. Let w(u) = 23*u. Let g(t) = 2*t. Let q(b) = 22*g(b) - 2*w(b). Determine q(c(o)).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose 4*k - 8*o - 68 = 0, -4*o - 36 = -12. Sort f, -4, 4, k in descending order.\nAnswer: k, 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 0*v**3 + 3*v**3)*(-382*v - 6200*v - 275*v).\nAnswer: -6857*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4) + 6\/(-1). Let c be (15\/(-9))\/((-6)\/(-130)). Let m = 36 + c. What is the third smallest value in m, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12095\/4 + 3004. What is the common denominator of b and -93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7644 + -46091\/6. Let y = -77\/2 - b. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 0.03, 4\/3, -3.22?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6817\/2772 - 69\/28. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 1. Let v be f(-1). Let c(x) = -62*x**3 - x**2 - x - 1. Let q be c(v). Let h = q + -38. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/3)\/(-20))\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (3 - -21 - -10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -8, -3\/2, -73.5 in decreasing order.\nAnswer: 16, -3\/2, -8, -73.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 19. Let d = z - 8. Which is bigger: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n = 33*n - 31*n. Put 2, n, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 less than 1179456\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*r**2*y + o**3*y**3 + 9775*o**2*r**2*y**3 + 2*o**2*r*y**3 - 13*o**2*y**2 + 125*r*y**3 - 2*r*y wrt r?\nAnswer: 2*o**3*y + 19550*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7662157 minutes in seconds?\nAnswer: 45.972942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*j = -3, 3*z - 40 = 2*j + 2. Let l = z - 7. Find the second derivative of 2*m - m + 2*m**5 + 0*m**l wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*t + 50, -5*t + 2925 - 2861 = -3*q for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 12*d - 70. Let l(h) be the first derivative of -7*h**2\/2 + 9*h - 164. Let m(v) = -20*v + 26. Calculate d*l(x) + 5*m(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2173.96 + 2174. What is the nearest to 0.2 in o, -3, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1025908.117 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from eeeevvederreqde?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*i + 5270 = 604*i - 1382*i for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 8*z + 2 = 0, 2*h = 4*z - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -16.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007092029 to four dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -2280, -7710, -18316, -35832, -61992, -98530?\nAnswer: -147180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 4212468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -265015 + 86305. Is (h\/148)\/(26\/16 + -2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132065 = 3*t - 137875. Suppose w + 4*c = -2*w - t, -4*w - 3*c - 119985 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5516 - 3768. Let s be b\/20 + -5 - (-2)\/(-5). What is the second derivative of s*d - 144*d - 13*d**2 + 71*d wrt d?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h - 7. Let b be 1 + 5*1\/h. Let n = 21 - 19. Sort n, -0.4, b in descending order.\nAnswer: n, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84467, -84240, -83861, -83330, -82647, -81812?\nAnswer: -80825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 13. What is the greatest common factor of u and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012945 + 17750.7\nAnswer: 1030695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 13 in increasing order.\nAnswer: -5, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**9\/3780 - u**5\/40 - u**4\/3 - 3*u. Let p(o) be the third derivative of h(o). Differentiate p(v) wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/34 + 672\/357. Solve -h - o - 7 = 0, -3 + 11 = h - j*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 45 = 32*c - 29*c, 2*u + 36 = 3*c. Let s = -2 + -2. Is (1494\/(-15))\/(s\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055*776\nAnswer: 42.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:25 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/13 or 122?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00288379 rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f + 35 = 50*f. Which is the closest to -1\/5? (a) f (b) 0 (c) -2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 11. Let y(m) = 2*m + 1. Let u(x) = -5*x - 13. Let i(z) = u(z) + 3*y(z). Let w(k) = 3*i(k) - 4*l(k). Calculate w(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8239 is divided by 133.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 29*v + 5850 = 0. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrjjrrrr. Give prob of picking 2 r.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -20. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 + 185. What is the remainder when 24 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9129.964 to the nearest 10.\nAnswer: -9130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127226886.\nAnswer: 2, 3, 29, 731189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from seeiiiieesiiii.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19767312 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 2*j = -94, 5*j = 20. Calculate the remainder when m is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729 = 139*q - 800. Calculate the lowest common multiple of q and 645.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -37, -1, 13360 in decreasing order.\nAnswer: 13360, 3, 0, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0 - 1\/2*b**3 + 0*b**2 - 3*b. Let z(x) = 15*x + 2*x - 25*x. What is p(z(q))?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 19, -971, 3.\nAnswer: -971, -3, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.35?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -336, -5 in decreasing order.\nAnswer: -4, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*w - 215, 0 = w + 2*y + 7 - 64. Let r(a) = 21*a - 4. Let h be r(4). Let v = h - w. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -327, -3, -5, 28.\nAnswer: -327, -6, -5, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 + 17 = -5*h, -q = 3*h + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 52349*u - 156549. Give r(3).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8442*u**4 - 24135 wrt u?\nAnswer: -33768*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 48 = -27. Suppose 4*w - 6*w - 22 = -4*i, -2*i + o*w + 31 = 0. What is the derivative of -393*n**3 - 39 - 5*n**4 + 393*n**i wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -107, -117, -143, -191, -267?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 - 3*q + 2. Calculate j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9082*c**4 + 7*c**3 + c**2 + 1651*c + 5376 wrt c.\nAnswer: -108984*c**2 + 42*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -231.25 and -3.\nAnswer: 693.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 71124*u + 141934. What is h(-2)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 2, w: 1, e: 1, g: 1, b: 3}. What is prob of picking 3 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, 160, 468, 902, 1462, 2148?\n\"Answer: 63*j**2 - 7*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 5*r**2\/2 - 2*r - 1. Calculate the remainder when m(6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -10 in ascending order.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 8*k + 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*w + 27, w + 49 = -5*z + 9*z. What is the derivative of 50 + 0*o - 2*o + 4*o**4 + 50 - z wrt o?\nAnswer: 16*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3555, 3640, 3729, 3822, 3919?\n\"Answer: 2*v**2 + 79*v + 3474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -651 - -782. Calculate the remainder when 912 is divided by h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/2 + 15*f**3.\nAnswer: 3*f**3*(f + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 5.1676 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 - 5 = 0. Is 80 + s + -1 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)\/p*p*p**(3\/8)\/p)\/(p*p*p**(4\/7)*p*(p*p\/(p**10\/p))\/p) assuming p is positive.\nAnswer: p**(751\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -129302.82 + 0.2\nAnswer: -129302.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 154*h**2 + 55*h - 248. Determine z(51).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 292133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 36, 0, -72?\n\"Answer: -18*g**2 + 54*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, a: 5, q: 4, k: 7}. Give prob of picking 3 q and 1 l.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 118 = -30*p. Let x(n) = -35600*n. Let t be x(p). What is t rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2204 and 2543532.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/81 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35393, 4, -68, -2, 1 in descending order.\nAnswer: 35393, 4, 1, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*k*u**4 - 1013*k*u**3 + k*u**2 - 133*k*u + k + 7*u**2 - 1 wrt u.\nAnswer: -4512*k*u - 6078*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 1\/90*r**6 - 1\/18*r**3 - 1\/36*r**4 + 1\/60*r**5 + 0*r**2 - 3*r - 6. Let l(v) be the first derivative of f(v). Factor l(h).\nAnswer: h*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -18\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 24. Suppose o*k = 5*k. Suppose i - 3 = -k. Solve i*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 6*b + 6. Let o = 6 + 0. Let k be ((-4)\/o)\/(2\/(-6)). Let u be a(k). Solve 3*i - u*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4016 (base 8) in base 12?\nAnswer: 123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -4. Suppose -3 = -2*x - x, h - 2*x = 2. Calculate the lowest common multiple of m and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 22. Let j be 1\/(-2) - n\/(-6). Find the second derivative of -4*w**3 + 3*w + j - 1 + w**3 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-30)\/l)\/l*l)\/l**23*(l**(-16\/3))**(-26) assuming l is positive.\nAnswer: l**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 979, 5, 11331 in descending order.\nAnswer: 11331, 979, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465884842?\nAnswer: 2, 311, 749011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2 - 2 + 4 - 2*u**2. Let c(z) = 6*z. Calculate y(c(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*s = -733*s + 5355 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923262 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*h**2 + 1 + 205*h**2 - 558*h**2 to the form c*h + f + m*h**2 and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01435580799 to 4 dps.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, z: 1, f: 4, j: 11}. What is prob of sequence eje?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2903*j**3 - 4122*j**3 + j**2 + 4548*j**3.\nAnswer: -2477*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxfxfiixxwzxizqiwxzx. Give prob of picking 1 z, 1 w, and 1 i.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -487, -822, -1283, -1864?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -312 + 314. Solve -b = -i + 6, 2*b + 3*i = j*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22412, 44821, 67226, 89627?\n\"Answer: -2*c**2 + 22415*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-45)\/(7935\/(-300) - -26).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2718\/(-72) - -22)*16\/12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -6. Calculate the greatest common divisor of 216 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 904 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:23 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978176 is divided by 483.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/12 + 179*q\/6 - 1765\/12 = 0.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8 and -25\/724?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + c**4 + 39446 - 39470 - 3*c - c**2 as x*c**3 + s*c + m + g*c**2 + w*c**4 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*o + o - 12 = 0, 0 = 2*x + 2*o - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 645*n**2\/4 - 21729*n\/4 - 3417\/2.\nAnswer: 3*(n - 34)*(215*n + 67)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1105*s**2 - 221*s**2 - 1241*s**2 - 2*s as l*s + k + f*s**2 and give f.\nAnswer: -2567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**3 - 25*m**2 - 22*m - 73. Let c be a(31). Suppose -348612 + c = -52*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3\/3 - 152*p**2\/3 - 316*p\/3 - 160\/3 = 0?\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -457, -615, -773, -931, -1089?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 2*d + 79*d - 25*d - 14*d - 8*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 6*f**2 - 4*f + 3. Let b be 1*6 + (-3)\/1. Let v be h(b). Calculate the highest common factor of v and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 0.13, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -7, -50, -125, -238, -395, -602?\n\"Answer: -m**3 - 7*m**2 + 11*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*(c**(1\/3)*c*c)\/c)\/c)\/c)*(c\/(c\/c**(-3))*c)\/c)\/(c\/c**2)**(-1\/7) assuming c is positive.\nAnswer: c**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2. Suppose -5*k = 4*a + 6 - 34, 3*a = k + 2. Let t(h) = -4*h**a + 4*h**2 + 5*h**2. Determine z(t(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 12*p + 4. Calculate the remainder when r(-8) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -34. Let j = g - -92. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -16, 4, 44, 110, 208, 344?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + -2 - (-6 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*(-135)\/(-54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = -8. Let g be 99\/34 - (-3 - 0 - -6). Let z = -59\/102 + g. Which is the biggest value? (a) s (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10292*q = 11897*q + 332835 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 452.87151 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*v**2 - 27*v - 4 wrt v.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 790109987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 3*o**2 + o - 1. Let p be y(3). Let r = -115 + 217. Let x = r - 97. Solve 2*d = x*w + 19, -2*d + p - 3 = -w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 7*f**2 + f + 10. Let v be t(-7). Let q = -3 + v. Suppose 4*z = -q*z + 32. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-1 + -3) - 2. Suppose 2*f = -r*f. Solve 2*s + 2*b + f = 2, -b = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:55 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*u = 113*u + 110*u + 142. Sort 584, 2, u in increasing order.\nAnswer: u, 2, 584","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159795 is divided by 2252?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 + 9*d**2 + 25*d + 32. Let j(a) = -6*a + 15434*a**3 + 8*a**2 - 10*a**2 - 8 - 30872*a**3 + 15437*a**3. Determine 2*b(k) + 9*j(k).\nAnswer: -k**3 - 4*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001133311 (base 4) in base 16?\nAnswer: 1017f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f - 192 - 72*f**5 - 75*f**5 + 50*f**4 + 134*f**5 wrt f.\nAnswer: -260*f**3 + 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*p + 14 = 0, 2*s + 4 = 3*s - 3*p. Let o(t) = t**3 + 4*t**2 - t + 7. What is o(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2\/3 + 2\/3*g**2 - 4\/3*g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 9. Let x(p) = 10*p - 9. Let m be 2\/(-2)*(4 + -5 - 2). Let s(z) = -2*z + 1. Let q(r) = m*s(r) + x(r). Determine -8*q(j) - 5*t(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25613 - -36137. List the prime factors of f.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -31, 2\/3, 24.745?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 43042914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/9)\/d**(2\/3))\/((d*d*(d\/(d*d*d**2\/d*d))\/d)\/(d\/(d*d**(-3\/4)))))\/((((d\/(d**0*d))\/d)\/d*d)**(-4\/5)*(d**(-1\/3))**18) assuming d is positive.\nAnswer: d**(1331\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(51)*2)\/sqrt(3) + -5.\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 61 (b) -8318 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 18*i + 1910. Let h(o) = -2*o**2 + 15*o - 1906. What is 6*h(n) + 5*v(n)?\nAnswer: -2*n**2 - 1886","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -51138?\nAnswer: -51138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162705 (base 9) in base 15?\nAnswer: 397135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sugcxshhx. Give prob of picking 1 c and 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 49a16a1?\nAnswer: 49a1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-3)\/(-36)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 45670?\nAnswer: -45678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*r - 731*r + 2*u = -4, 3*r - 4*u = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52775.\nAnswer: 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 656 + -42. Suppose -4*p = -2*p - a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2. Let h(s) = 225*s**2 - 3 + 3 - 216*s**2. Determine p(h(q)).\nAnswer: -162*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33373638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50.94379985 and -0.2.\nAnswer: -51.14379985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67478, -67479, -67480, -67481?\nAnswer: -67482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 59 = -5*c + 107, 2*n - 74 = 2*c. Suppose 0 = -2*t + 6, 4*f + t = -2*t - n. Let o = -7 - f. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*1\/(-6) - 13. Let u be -4 + (-91)\/(-21) + 4\/q. Solve u*c - 6 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19e7 - -3?\nAnswer: 19ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -475.\nAnswer: -17\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-105)\/(-14)*36\/5. Find the common denominator of (-10)\/16*87\/(-15) and ((-3)\/16)\/(b\/(-24)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-9)*-3*2\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + 3)*100\/(-15))\/(-10 + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (-3 - (-10 + 10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141469 or 548?\nAnswer: -141469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -3) + -2 + 2. Suppose 5*b = -x*j + 130, -2*b + 3*j - 2*j + 52 = 0. Let h = -9 - -18. Calculate the remainder when b is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.569 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f7 (base 16) to base 6.\nAnswer: -11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - ((-91)\/28)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3834*f**3 - 32*f - 2113.\nAnswer: 23004*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -25, -816917 in descending order.\nAnswer: -2, -25, -816917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3771724*f**3 + 2*f**2 - 602386998?\nAnswer: 11315172*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 16*k**2 - 14*k - 12. Let o = 3577 + -3562. Determine t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and 157\/16801290.\nAnswer: 16801290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1137032016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:04 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3 + 24844*c**2 + 49674*c - 74520 = 0.\nAnswer: -12420, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 2*v. Let i(w) be the third derivative of w**5\/60 + 5*w**4\/24 + w**3\/6 - 26*w**2. What is the units digit of i(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 3*k**3 - 2*k**2 - 2*k**3. Let x be h(-1). Suppose -5*j + 28 = 3*i - j, x = 5*j + 10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423272 is divided by 211636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 333478472 to the power of 1\/3, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1157*v - 57826. What is f(-50)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 5. Let z be y(11). Suppose 0*n + z = n. Solve -v + 5 = -n*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2636496)\/(-680) + (-4)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w + 17. What is the remainder when 47 is divided by t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183645 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101704, -101725, -101746, -101767, -101788, -101809?\nAnswer: -101830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667705.\nAnswer: 5, 133541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/(-81)*3\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-23)*c**(-2\/25)*c*c*c assuming c is positive.\nAnswer: c**(673\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30773, -61546, -92319, -123092?\n\"Answer: -30773*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/3 - 14356*r**4\/3 + 26665372*r**3\/3 - 3246749720*r**2\/3 + 38774165750*r - 288357337500 = 0. What is r?\nAnswer: 10, 59, 3525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 11. Let v be f(19). Solve v*c + 10 = 13*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3610 (base 9) to base 16\nAnswer: a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 5. Let u be (-1)\/(-1 - (-4)\/3). Let d be (-21)\/(-9) - (-1)\/u. Let p(i) = -i + d*i - 6 + i. Give -3*p(f) - 4*y(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -8.87\nAnswer: -5.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**3\/3 - 4*f**2 - 5*f - 1. Let h be y(-7). Sort 1, h, 4 in descending order.\nAnswer: 4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = 5*j. Suppose 2*p + 2*b - 30 = 0, 5*p + 2*b - 99 = 5*b. Calculate the remainder when (4 + 75\/j)*-6 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 17*t**5\/60 - 10*t**2. Let h(b) be the second derivative of b**3\/6 + 3*b + 87. Calculate j(h(d)).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 3566.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(1300) + 0 - -5*(sqrt(1300) + -1)))**2.\nAnswer: -600*sqrt(13) + 46825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 327591?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2 = 4*f, 0 = 2*f + f - i + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119.4 - -134. Let j = 533 - 548. Let a = j + d. What is the nearest to 0 in 0, a, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 - 296.8. Let y = x + -66.2. Let p = -0.16 + 13.16. Is p less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n - 12. Let r be k(4). Let y be (-6)\/(r\/(-64)*-2). Let d(f) = f**3 + 7*f**2 - 10*f + 2. What is d(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/284 or -1?\nAnswer: 9\/284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*c**2 - 145*c**2 - 25*c + 66*c**2 + (c - 2*c + 2*c)*(34*c + 35*c - 23*c) as b*c + v + h*c**2 and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 4*i - 2. Let p be f(-2). Is -5 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22473 (b) 0.5 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -443*l**4 - 414*l**5 - 10*l**2 + 848*l**5 + l**6 + 0*l**6 - 432*l**5 + 2 wrt l?\nAnswer: 120*l**3 + 120*l**2 - 10632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5*z - 1 + 4.\nAnswer: -5*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2, -15, 1\/12, -2\/3 in descending order.\nAnswer: 3\/8, 1\/12, -2\/3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.5. Let g = w - 0. Let f = -4 - -5. Does f = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 3*v + 2. Let h(t) = -21*t**2 + 16*t - 10. Suppose 6*x = -2*x. Suppose x = 3*o + 2*o - 10. What is o*h(j) + 11*w(j)?\nAnswer: 2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761285?\nAnswer: 3, 5, 17, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/120*-27*16\/(-1080)*(-1)\/4.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/84 + -3\/28. Let m = 4.93 - -0.07. Which is the closest to d? (a) 1\/2 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 27, 29, 27, 21, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2922000870 + -2922000831.00000099. Let a = -9 + 48. Let m = a - b. What is m rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.097 - -0.297. Which is the nearest to z? (a) 1.2 (b) -0.4 (c) -7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 36. Suppose -n = -0*n + 3*h - a, n + 5*h - 20 = 0. Suppose -x + 11 = z, 5*z - 55 = -n*x + 2*x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4 - v**3 + 7*v**2 - 143*v. Let n(y) = -25*y + 7. Give 5*n(d) + 6*w(d).\nAnswer: 19*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20450, 40905, 61360, 81815, 102270?\nAnswer: 122725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*t - 23*t**2 + 352*t.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -31*y + 89. Give p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820 divided by 11?\nAnswer: -1820\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 9*l**2 + 4*l + 4. Let w(d) = -9*d**2 + 3*d + 3. Determine -3*n(v) + 4*w(v).\nAnswer: -3*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 2. Let n(g) = -2*g + 1. Suppose -10*s - 331 = -311. Let q be 2\/(-3) - 64\/(-6). Let b be (q\/3)\/(4\/6). Give b*n(i) + s*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.07 - 0.33. Let f = -20.4 - j. Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34821407 and 49668.\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (48\/57)\/(30*100\/750)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*o - 187 + 102 + 94 as f*o + i and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.638116 minutes in microseconds?\nAnswer: 98286960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714 + 1527*q**3 - 2714.\nAnswer: 1527*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*j - 72 = 0, -j = -3*t - 97 + 10. Suppose 0 = 4*u + 15 - 3. Is 20\/t + (-1013)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201\/((-5 - 3) + (-172)\/(-20)) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -6\/13, -165, 1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 3\/2 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548312 is divided by 228?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13874, -27746, -41618, -55490, -69362?\nAnswer: -83234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19694*m + 118116. Calculate b(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4792 + 1.\nAnswer: -4791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3692\/20111 - (-56)\/(-476))\/(4\/(-7)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.495466 rounded to one decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114137113 minus -52?\nAnswer: 114137165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21015983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57382 (b) -0.3 (c) 4 (d) -4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 168 = 7*s. Calculate the highest common factor of s and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.751 rounded to 2 dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 20*c + 300. Calculate d(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 71*n**2 + 98*n - 47. Calculate q(34).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1585*h**2 + 1638*h + 10. Let x(y) = -791*y**2 - 818*y - 4. Let b(u) = 2*j(u) + 5*x(u). What is the second derivative of b(c) wrt c?\nAnswer: -1570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 20*m - 76. Calculate p(-17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1103 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 5) to base 4\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b - 2. Let z be (4 - 1)\/((-1)\/(-1)). What is the tens digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6)\/((-6)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 + 16\/3*d + 8\/9*d**3 - 58\/9*d**2 + 2\/9*d**4 = 0.\nAnswer: -8, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/4 + 7*u**2 - 211*u - 2. Let s(m) = 2*m**2 - 180. What is s(l(r))?\nAnswer: 72*r**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 5\/752 (c) 635\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 3*n = 6*n + 90, -n - 2*n = -24*r + 150 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 180567016, 180567017, 180567018, 180567019?\n\"Answer: l + 180567015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/12 + 5*o**3\/6 - o**2 + 4*o - 47. Calculate n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 25, 42, 75, 130, 213, 330?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*c + 83*c - 30*c.\nAnswer: 200*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**3 - 3*q**2 - 7*q + 2. Let h(i) = 2*i**3 + i**2 + i. Give 5*h(a) + l(a).\nAnswer: 37*a**3 + 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:18 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*h = q - 6, -h + 2 = 4*q. Let r(m) = -m**3 - m**2 + m + 1. Determine r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/510*(24\/20)\/((-4)\/(-5)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -236, -231, -226?\n\"Answer: 5*k - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1.6 (c) 1\/6 (d) 233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484 smaller than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/150 + 7*f**4\/180 - 2*f**3\/45 - 13*f**2. Factor v(g).\nAnswer: -2*(g - 2)*(3*g - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u. Let d(i) = -i. Let p(r) = -4*d(r) - k(r). Let x(h) = -18*h - 112. Let b(v) = 39*v + 240. Let w(n) = -7*b(n) - 15*x(n). Give 6*p(g) + 13*w(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.0048 rounded to the nearest integer?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.5 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696 - 233 + b - 237 - 230.\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -90*t + 93*t. Suppose t - 72 = a. Is a + 0 - (-206 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 229 = 2*n. Suppose -5*b + 85 = s, -3*s = b - n + 30. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*f + 4 = 0, -5*s - 3*f - 10 = 21. Sort -4, 3, 4, s.\nAnswer: s, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -2\/17, -2940, 0.72, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 0*c**3 + 5*c**3 + (-2*c**2 + 3*c**2 - 2*c**2)*(0 + 0 + c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36605 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggciicigccgiggcgc. What is prob of sequence ggg?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 4*w)*(4*w**3 - 2*w**3 - w**3) + (w + w**3 - w)*(-2*w + 2 - 2).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6656 and 262848.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5004 and 29742247.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26078*w + 26138*w - 78415*w + 26130*w.\nAnswer: -69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 14*h - 14*h + (0 - 2 + 0)*(-2*h**2 + 0 + h + 0) + (h - 7*h - 4*h)*(-2 - 2*h + 2) in the form r*h + n*h**2 + o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 21?\nAnswer: 190\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + 0 + 2. Suppose 3*r - 14 = -a, 7*a = 2*a + 2*r + 2. Let v = 4 - a. Solve 2*t = -f*p + v, -2*p + 1 + 1 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:31 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 + 235 - (-2 + 5 + 1 + 31)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21666 - 21767.947. Let h = k + 102. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5022, 1, -21 in descending order.\nAnswer: 1, -3, -21, -5022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.15528 to two decimal places.\nAnswer: 4.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*g - 158 = 0, -5*g - 188 = -5*v - 13. Let t = v + -7. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = z + 5, -5*n = -5*z - 45. Let p = 36 - 36.5. Which is the third biggest value? (a) p (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 - 3*m + 12. Let q be t(5). Let p(r) = -r**2 + 3*r - 2. Let l be p(6). Let a = l - -99\/5. What is the closest to a in -1\/2, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -376*a**2 + 2*a. Let c(k) = 3*k**2. Calculate m(c(d)).\nAnswer: -3384*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4 = 0, -4*y = 2*l - 7*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47344 - 68.\nAnswer: -47412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = 10. Solve 2*p - 4 = 5*c - r*p, -5*p + 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 4*j - 7. Let s be d(-5). Let b = s - -5. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1919030, 3838060, 5757090, 7676120?\n\"Answer: 1919030*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41226 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.06 - 0.06. Let h = 0.3 - 5.3. Let y = 0.87 + -5.87. What is the closest to y in h, 4, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*k - k**2 + 34*k**3 - 22*k**2 + 72*k wrt k?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 8*n**4\/3 - 13386*n**3 + 51184360*n**2\/3 - 657077800*n - 165336000 = 0?\nAnswer: -1\/4, 40, 2490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*j + 31 = 0, 184*i - 5*j = 187*i + 48 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 175*w**2 + 9*w + 1587. Determine y(-175).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2417 - 12112 + 62*r - 63*r - 6169 + 2063 to u + p*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.563? (a) 13 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415\/21 - -16747\/840. What is the common denominator of 28\/7375 and p?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636984 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212 * -0.4.\nAnswer: 84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 2. Let b be i(3). Let o(d) = -5*d + 4. Let z be o(-2). Let x = z - 11. Solve x = b*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37414182 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d - 63. Let q be z(-11). Let l = q + -106. Solve -2*o - y = 6, -2*o - 3*o = 4*y + l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, 2\/7, 36?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -1168?\nAnswer: 700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -44615*-1\nAnswer: 44615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c - 7\/6*c**3 + 2*c**2 + 0. Let y(p) = -4*p + 2. What is -3*f(w) + 5*y(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 2*t + 8. Let x(k) = -16*k**2 + 5*k + 23. Determine -11*s(i) + 4*x(i).\nAnswer: -9*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4563 + 10070. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18864720*z - 18864720*z - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 28*k**4 + 328*k**3 + 1106*k**2 - 6480*k - 13. Let b(u) = 9*u**4 + 109*u**3 + 368*u**2 - 2160*u - 4. Let t(f) = 13*b(f) - 4*q(f). Solve t(l) = 0.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 5*a**2 + a**2 to z*a + f*a**2 + m and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 59688 = 3*q. What are the prime factors of q?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 13. Let k be l(-10). Let g = 5 + -9. Let j = 1 - g. Solve k*s - p = -0*s + j, s + 4*p = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000569110693 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 933753.9l?\nAnswer: 933753900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*x*y**3 + 45108*x*y - 43*y**6 + 326*y**3 + 86*y**2 wrt y.\nAnswer: 414*x - 5160*y**3 + 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*r - 12 = 0, -g - 3*r = -r - 6. Is g greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13851*a + 82 = -13852*a + 3*o, 5*a - 110 = -5*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d. Let v be l(1). Suppose 4*g = -2*f + 8, -2*g - g + v*f + 32 = 0. Calculate the remainder when 9 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -13 (c) 2\/7 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 21382.\nAnswer: 2245110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 3*r - 10, s + 2*r = 0. Suppose 3*p = -s*y + 31, 5*p - 5 = 2*y + 3*y. Let a(z) = z**2 - 2*z - 3. Calculate a(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Suppose 224 = 11*p + 103. Suppose -p*z - 7*z = -3*z. Solve 5*d + a + 7 = 0, -2*d + z*a = -j*a - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29413337?\nAnswer: 29, 107, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -14. Let d = -6 - c. Let s = d + -4. What is the nearest to -1\/2 in s, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547896, 547895, 547894, 547893, 547892, 547891?\nAnswer: 547890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 + 1416*c - 167088 = 0. Calculate c.\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - 14\/(-3). Suppose -m - 17 = -4*i, m - 25 = 6*m - b*i. Let y(l) = 132*l**2 - l. Is y(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose 3*f + 80 = 5*g + k*f, g = 4*f + 16. What is the remainder when 63 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17253\/15 - 1*(-8)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = -13. Suppose 5*x - w*x = 6*x. Solve 0 = -2*u + 2*b - 4*b - 10, -4*u + 5*b + 7 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 52 = 17*s - 39*s, 5*s - 76 = q - 77 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 38*x**2 + 264*x + 1. Let b be c(44). Solve 6*o = 5*o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 221716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -3, 0, -650, 15 in descending order.\nAnswer: 15, 5, 2, 0, -1, -3, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9484 (base 10) to base 15.\nAnswer: 2c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 10:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4113.9 + -3903. Let w = -198 + j. What is w rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyooyoyo. What is prob of picking 4 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1443\/234 - 2*3. Let p be 3\/((-1227)\/(-2)) - 0. Let x = 832\/2863 - p. Which is the third smallest value? (a) x (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**3 - 7630*r - 1 + 3810*r + 3813*r - 4*r**2 as p*r**3 + z*r + y*r**2 + i and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 433686.81 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -54*a - 144. Is z(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -7 (c) 1\/4 (d) 4\/3 (e) 278\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/32 (b) 1\/2 (c) 61 (d) 3 (e) -0.022 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*a**3 - 136*a**2*q**2 + 21*a**2*q - 10*a*q**2 + a - 18*q**2 - 394*q + 1 wrt a?\nAnswer: -168*a - 272*q**2 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/3, 1\/2, 432?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -117 + 102 + (5 - 45).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeaqaqmqamc. What is prob of sequence ya?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 33*m - 10. List the prime factors of c(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2 + 1. What is the second derivative of -h**3 + h**3 + h**5 + j*h wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 + 2*p - 57. Let k be z(-10). Calculate the greatest common factor of k and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h. Let o(f) = -f**3 + f**2 + f - 1. Let s(j) = -5*j**3 + 9*j**2 + 10*j - 5. Let g(z) = 6*o(z) - s(z). Calculate -g(i) - 3*q(i).\nAnswer: i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/5 + 3241404*o\/5 - 875558324268\/5 = 0. What is o?\nAnswer: 540234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 876226.0673 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/8, -15, -551?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -822*r - 304. Does 103 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 8*b. Suppose b = -5*r + 2*p + 107, 2*r - 5*p = r + 3. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 8. Suppose -2*c - 2 = -j. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -119*y - 3. Is s(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329210 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Let x = -855251 - -7697260\/9. Which is the nearest to 0? (a) g (b) 3 (c) -4\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(425) - -2*(1 + sqrt(425))**2 - (1 + (sqrt(17) - (sqrt(17) + (sqrt(1088)*1 - sqrt(1088)))**2))) + -2.\nAnswer: -3479 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4\/4 - 2121*f**3\/4 + 10539*f**2\/4 - 6291*f\/4 - 9477\/2 = 0.\nAnswer: -1, 3, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x. Let f(u) = 6079110*u. Calculate w(f(v)).\nAnswer: 48632880*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s + 9868*s**2 - 9869*s**2 + 0*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 152\/(-36) - 4\/(-18). Let h = x - -70. Let w = -51 + h. Solve m + w = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (-8 + 9 + 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(350) + sqrt(350) + sqrt(350)*1*-4)\/(-2*sqrt(700)) + 4).\nAnswer: -24 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 - 3 = 0. Suppose -o = -3*a + 5. Suppose -a*d + 2 + 1 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 17*m**2 + 305*m**3 - 309*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - ((1 - -12) + (41 - 40)) - -9?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 + 4980*m - 463840 = 0. Calculate m.\nAnswer: 104, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63313 - -23444?\nAnswer: -36536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + -b9d12b?\nAnswer: -b9d156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/78039?\nAnswer: 4\/78039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.2 (c) -276 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(-7)\/g)**(-4\/13) assuming g is positive.\nAnswer: g**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r, -y - 3*y + 2*r + 170 = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 21*f + 75 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 440*w - 425*w + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -1168, -2627, -4662, -7267, -10436?\nAnswer: -14163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/280 - s**6\/360 - s**3\/6 + s**2. Let j(v) be the first derivative of x(v). What is the third derivative of j(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.3. Let g = 4.9376 - -0.0624. Which is the fourth smallest value? (a) -2\/11 (b) t (c) g (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0 - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2. Let h be v(0). Let i = h + -3. Let j be i - (-1)\/((-1)\/(-11)). Solve -j = 4*x - 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 89*g**2. Let k(s) = 56*s - 773. Calculate k(b(n)).\nAnswer: 4984*n**2 - 773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, f: 9}. Give prob of picking 1 f and 3 k.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2940057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.344 * -3.4.\nAnswer: 1.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*j - 129*j - 85*j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/26 and (971 - 5)\/(-7)*((-1)\/164)\/(-1)?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + 4 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2759 + 2763. Solve 0 = -2*k + r*s + 4, -6*k + 11*k + s = -23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 + 5*n**2)*(4*n - 5*n + 2*n) - 4*n**2 + 4*n**2 + n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 5*f. Suppose 4*z - 5*z + 36 = f. Suppose 4*v = w - z, w + 24 = 3*w + 4*v. What is the smallest common multiple of w and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most as big as 131\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -7.08. Let r = -72.9 + 76. Let c = r - a. What is c rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 20816*r**3 - 3*r**2.\nAnswer: -20816*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 256*s + 3784. Let f be d(-14). Sort -3.13, -5, f, 4\/3 in descending order.\nAnswer: f, 4\/3, -3.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12331 + -517541783.\nAnswer: -517529452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 107*d + 342 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 182 - 290 = -168 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 326, 507?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3 + 3)*(10 - 7 + 2)*(25*c + 7 - 44*c - 32*c).\nAnswer: 255*c**2 - 35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09083 less than 0?\nAnswer: 0.09083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 15) in base 9?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -0.04, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Let p = -2714 + 2716. Suppose -3*f - 549 = -s*c, -426 - 304 = -4*c + p*f. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121332 - -3?\nAnswer: 121340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 76, 56, -18, -164?\n\"Answer: -3*b**3 + 37*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x = 84*x + 2661*x - 42480 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 4*p - 7, -2*c + p = 0. Find the second derivative of -3*j**2 + j**c + j + 5*j**2 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208.761t in kilograms?\nAnswer: 4208761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:53 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + 404?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45854204 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w - 1. Let b = 14376 + -14375. Let l(n) = 9*n**3 - 4*n**2 + 4*n - 5. Determine b*l(i) - 4*d(i).\nAnswer: 9*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*j + 2094 = 0, -490 - 762 = -3*s - 2*j. Let r = -284 + s. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {p: 2, y: 1, h: 3, n: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Let v = r + -7. Suppose 5*n + 7 - 2 = 0. What is the closest to n in v, 3, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t**2 + 2774*t - 706. Calculate g(79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 + b. Suppose -5*c - o = 2*o - 25, -3*o + 13 = -c. Let g = 0 + 0. Let l = g - c. Calculate m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7442885.\nAnswer: 5, 1488577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21699*y**2. Let m(w) = 3*w. Calculate o(m(n)).\nAnswer: 195291*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30206.8*-4\nAnswer: -120827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 - 2*c - 5. Let y be x(4). Suppose 4*q = -5*l - 272, 5*q - 3*q - y*l = -136. Is -1*(1 + q) - -3 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:19 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363066097 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -7*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = 23. Let p(o) = 7*o**3 - 2*o - 1. Let y be p(-1). Let t = y - g. Solve t*v = -5*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -22) + -1 - (-1 + 3 + 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -306507 + -23?\nAnswer: -306530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -140, 44, 350, 778, 1328, 2000, 2794?\n\"Answer: 61*w**2 + w - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 + 7*r**2 - 7*r. Let h(a) = -9*a**3 + 8*a**2 - 8*a. Let b be 2\/(-13) - (-228)\/(-39). Give b*h(p) + 7*o(p).\nAnswer: -2*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j**4 + 0*j + 53 + 1\/3*j**3 + 0*j**5 + 8*j**2 + 3\/2*j**6. What is the third derivative of y(n) wrt n?\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -8)*(-2 - (-7)\/3). Let f(i) = -5 + h*i - 3 - 3*i - i. Let w(a) = -2*a - 1. Let g be w(2). What is f(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 23. Calculate the remainder when u(-26) is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*w**2 + w**2 - 4*w**2) - w**2 - w + w + (0*w + 3*w + 2*w)*(-2 - w + 2) + (w + 5*w - 4*w)*(-2*w + w - w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.264 - -263.886. Round v to 0 dps.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**4 - 3364*w**3 + 25144*w**2 + 86416*w + 45440 = 0. What is w?\nAnswer: -568, -2, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101121 - -20?\nAnswer: 101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 - 1119*o**4 + 135000*o**3 - 5813976*o**2 + 96528432*o - 507996720 = 0?\nAnswer: 10, 21, 34, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -18. Let k = v - -16.9. Which is the closest to 0? (a) k (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 - 3*s - 1\/4*s**4 + 1\/4*s**3 + 0 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3\/2)\/(-1). Let u be 488\/(-122) + 27\/4. Factor 11\/4*z - u*z**2 - 3\/4 + 1\/4*z**3 + q*z**4.\nAnswer: (z - 1)**2*(z + 3)*(2*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -51\/2, -64\/5, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z + 38*z + 100*z + 11*z - 16*z.\nAnswer: 181*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/125? (a) 5 (b) -6\/7 (c) -0.1 (d) 4 (e) -195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-42) - (-26)\/48. Let r = -2.5 + 2. What is the closest to 1 in r, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127175 - 184*s - 127186 - 491*s.\nAnswer: -675*s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113.77061 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 49, 60, 21 in decreasing order.\nAnswer: 60, 49, 21, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10568.8975 to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36080 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7812042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 10) to base 14.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/7, -141, 36\/13, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*p - 18 = 0, 3*p = 4*j - 32 - 65. What is the tens digit of (-7)\/j + (-234)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-175)\/25 + 14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5091406 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9425 and 7636135?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27672636?\nAnswer: 2, 3, 2306053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - h**2 - 7*h + 7. Let n(c) = -5*c**3 - c**2 - 13*c + 13. Let v(t) = 4*n(t) - 7*z(t). Does 6 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*d**3 - 15 + 15 + (-128*d + 238*d + d**2 - 144*d)*(4*d - d - 5*d) as c*d + f*d**2 + b*d**3 + r and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 822.9527 centuries?\nAnswer: 987543.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 46. Suppose 50 = -6*i - 76. Let n be v(i). Let t(c) = c**2 + 6*c + 3. Calculate t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(18\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 10 = -14. Let x be (-1)\/(2\/u*2). Suppose -x = -t + 11. What is the highest common divisor of 51 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100011011 (base 2) in base 10?\nAnswer: 17691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b. Let g(p) = -5*p + 2*p**2 + p**2 + 5*p. Let l(a) = -a**2. Let j(x) = 2*g(x) + 5*l(x). What is y(j(f))?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3993*d**3 - 2943*d**2 wrt d?\nAnswer: -23958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 l when four letters picked without replacement from xlxllx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = -181 - 92 - 95 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3536*n - 13*v = 3538*n + 19, 5*v = -3*n - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**4 - 2*d - 49*d**2 + 49*d**2 + d**4 + 0 + 0 - 2*d**4 + 0*d**2 + 0*d**2 + (-3*d - d + 3*d)*(0*d**3 + 2*d**3 + 0*d**3) + d**4 - d**4 - 4*d**4.\nAnswer: d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = -4*a + 42, -h + 4*a = -33. Find the third derivative of 14*v**4 - 22*v**2 - 31*v**4 + 17*v**4 - h*v**5 wrt v.\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21104 (base 5) in base 11?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(165\/(-45) + 1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -22 + 2*n + 3\/2*n**2. Let t(x) = -x**2 - 7*x + 5. Let g be t(-8). What is z(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 12 = 3*c - 3*m + 2, 0 = 2*m - 4*m + 6*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 981, 1964, 2947, 3930?\n\"Answer: 983*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 1:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((4\/(-3))\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 87 = -13*i. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-132))\/(146\/(-30) + 5) - -4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/34136 and -21\/2510.\nAnswer: 170680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 25. Suppose -8*a + 15 = 31. Put v, a, 2 in decreasing order.\nAnswer: v, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2. Let p(l) = -11*l + 88. Let y(x) = -44*o(x) + p(x). Let w(v) = 1. Let z(m) = -m + 6. Let g(f) = -6*w(f) + z(f). What is g(y(a))?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*n + 4008 = 0, -n - 350 + 6334 = 3*q. What are the prime factors of q?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1948.3 and 0.04.\nAnswer: 77.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 + 5)*(x + x - x) to f + j*x and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1 + 261\/(-180))*(-30)\/(-36).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 717 times -397\nAnswer: -284649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i + 82*i - 72 = 0. Put i, 8, -2\/5 in descending order.\nAnswer: i, 8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -24. Solve m = -3*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w)**(1\/7) assuming w is positive.\nAnswer: w**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.46 (c) -16\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0361692 rounded to four dps?\nAnswer: -0.0362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1028195 divided by -205639\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, u: 5, q: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 17. Let d = 147 - 119. Suppose 0 = 5*o + d*o - 462. Give x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11))**(-4\/5) assuming a is positive.\nAnswer: a**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**4\/4 + 2*g**3 - 3*g**2 - 9*g + 21. Let a be i(-6). What are the prime factors of a\/18 - 167\/(-2)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-447)\/(-3) + 2 + (-2 - 1). Suppose -56 = -2*q + 3*a + 240, -a + z = q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-713)\/2*56270\/(-647105)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 24*m**2 - 143*m + 10. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 6 = 12*g - 2*g + 3*s, -19*g - 2*s - 258 = -109*g + 2*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-196)\/280*-4)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -71221, 43.\nAnswer: -71221, -4\/3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133.0464 - 133. Let l = x + -0.0462868. Round l to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1519 and 23206400.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 9:27 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2875 or 1233379\/429?\nAnswer: 1233379\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3 + 9 = 8*m, -10 = -2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 30*c**2 + 24*c - 34. What is p(-31)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 8:22 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 25 = -2*o, -25*n = -5*o - 28*n + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 11:25 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 + 55 = 0. Suppose -6*b + c*b - 390 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*n**2 - 1019\/3 - 340*n.\nAnswer: -(n + 1)*(n + 1019)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 100000011?\nAnswer: 11111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18070.7063 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 2*k**3 + 3 - 3 - 3*k as o*k + a + z*k**3 + r*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 926507675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -36, -17, 10, 45, 88?\n\"Answer: 4*n**2 - n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(432\/(-1260))\/((-2)\/(-21))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(-2064)*-8)\/(2\/(-2*2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i**2. Let q(k) = 4*k - 5. Let m(c) = 5*c - 6. Let v(a) = 5*m(a) - 6*q(a). Determine v(b(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziurmrzurzjumurzjjmz. Give prob of picking 1 j, 1 m, and 2 u.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 118\/(-20) + 83\/(-830)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -5*r - 6*f - 18, r + 6 = -2*f. Let j(b) = -3*b - 10. Let l = -12 - -26. Let p(s) = -s - 3. Give l*p(i) + r*j(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10036127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 128*w**3 + 1158*w**2 + 47*w - 73. What is f(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + 101776\/85760. Let v be 2686\/8040 - (-1)\/(-3). Let x = v + o. What is the common denominator of x and 35\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10737, -21394, -32051, -42708, -53365, -64022?\n\"Answer: -10657*l - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let c(j) be the third derivative of j**4\/8 - 20*j**2. Calculate c(d(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3934719km to micrometers.\nAnswer: 393471900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134156*i**3*v**3 - 3*i**3*v + 4*i**2*v**4 + 284*i**2*v + i**2 + 87*i + 5 wrt v?\nAnswer: 804936*i**3*v + 48*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:02 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose -6*b = -2*b - i*h + 2, -5*b = -h - 8. Suppose -y + 20 = 3*z, -y - 6 - 4 = -b*z. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzccz. Give prob of picking 2 z and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/143 - ((-28900)\/(-1248))\/(-17) and -137\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2338*2.\nAnswer: -4676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (8 - (14 + (-6 + 3 - 5 - 0)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (17 + 1)) + (1 - -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:35 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40129, -40111, -40081, -40033, -39961, -39859?\nAnswer: -39721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 988, 981, 974, 967, 960?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/1470 - a**6\/210 - a**5\/70 - a**4\/42 - a**3\/42 - 15*a**2. Solve c(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11468 is divided by 86?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1381006.5 months to millennia.\nAnswer: 115.083875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 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: Simplify -5 + (sqrt(756) + sqrt(756) + -2*sqrt(756))\/sqrt(12) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 92*v - 335. Give m(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*d = 6, -321*x + 5*d = -323*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -j + 14 - 38, 3*w = -j + 56. Let o = 25 - w. Suppose -5*y + 19 + 91 = -o*f, -2*f + 138 = 5*y. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 427221 + 444?\nAnswer: 427665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -346578640.068 and 0.5.\nAnswer: -346578639.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + 318\/4. Suppose -5*f = -0*f - x. Suppose -4*z + f = -0. Solve -z = 4*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.6048*-0.3.\nAnswer: -11.28144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.35 + 0.45. Let j = 1 + 2. What is the nearest to -1\/3 in 2\/5, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/(4\/18). Suppose -43 + 638 = v + d, -1791 = -f*v + 3*d. Is 9 a factor of v\/28 - 4\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3332)\/32 - (-1 - -5). Let z = l + 108. Suppose -5*y - 3*q - q - 8 = 0, 4 = -4*y - 2*q. Is y at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) 7 (c) 1\/4 (d) -0.4 (e) -2 (f) 6\/583\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 239 - 69 = 0. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.1 + -59. Let w = 38 - 48. Let d be (w\/595)\/((-9)\/21). Is d < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.611 + -0.067. Let p = n - 31.244. What is p rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.717 and -0.264.\nAnswer: -0.189288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10477847, -20955695, -31433543, -41911391, -52389239, -62867087?\n\"Answer: -10477848*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 23. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 3. Suppose -28 - 4 = -2*d. Let h = d + -14. Suppose -h*t = 2*z + 4, -3 = 4*t + 3*z + 1. Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -104323?\nAnswer: 104313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l. Let x(z) = -4*z**2 - 4*z - 4. Let v(h) = -10*h**2 - 11*h - 11. Let w(f) = -4*v(f) + 11*x(f). Determine p(w(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 7:10 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u - 3. Let q be k(-2). Let i be (-1)\/((3\/9)\/(-1)). Suppose l - q = p, -i*l = -6*l + 2*p + 45. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21270 and 15.\nAnswer: 21270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**2 - 6*z**2 + 6*z**2)*(-2 + 0 + 0) - 5*z**2 + 0*z**2 - z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7924 + 7919. What is the nearest to -1 in h, 2\/3, -3\/8, -1\/15?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 7*o**2 + 7*o - 9. Let l be q(4). Let b be ((-5 - l)\/6)\/1. Sort -58, b, 2 in descending order.\nAnswer: b, 2, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**5 - 30*t**4 - 9*t**2 - 41*t?\nAnswer: -120*t**2 - 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) - 64\/14. Let r be ((-21)\/(-9))\/(-7) + z\/6. Suppose 3*w - w + 2*v + 6 = 0, -3*v - 12 = 4*w. Put r, w, 4 in descending order.\nAnswer: 4, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004790917 to seven decimal places.\nAnswer: -0.0000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/127, -1, -125 in descending order.\nAnswer: 35\/127, -1, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 3*s**3 + 4*s**3 + 9*s**2 - 13*s**2 + 3*s**2 in the form q*s**2 + m + y*s**3 + o*s and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - 685?\nAnswer: -6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v - 55. Let u = 55 - v. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5498.3 - 5391. Round q to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -284.4 - 71.6. Let p = x + 355.9. Let u = 68\/3 - 22. Sort u, 3, p in increasing order.\nAnswer: p, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662379572 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l**3 - 66*l**2 + 4*l. Let z(w) = 16*w**3 + 67*w**2 - 5*w. Let d(r) = -5*g(r) - 4*z(r). Find the third derivative of d(u) wrt u.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1692, -1661, -1626, -1587, -1544, -1497?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*t + 1 - 1 + 304*t**3 + 50*t**3 - 199*t in the form b*t**3 + a*t**2 + l*t + k and give b.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 38 - 4 = 0. Let j be (-220)\/a + (-6)\/21. Let g be j\/(-12) - (-6)\/9. Solve -2*k = 3*q - 13, -4 = -g*q + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 14*c**2 - 78*c - 502. Does 5 divide k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/7 + 1)\/((-1794)\/(-182) - 11). Let l be (-2)\/(-10) + 0\/(-1). What is the fourth smallest value in -3, l, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -47. Let g be -2*1*10\/4. Let b = g - n. Calculate the remainder when 3 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75115501 or -75115499?\nAnswer: -75115501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 915460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*m - 6*m - 852 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10119 + -10071. Calculate the highest common divisor of 4016 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110305*c*q**2*v**2 - c*q*v**2 - 2*c*q*v + 45*c*v - 308*q*v wrt q.\nAnswer: -220610*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 47*d = -44*d + 108 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -892 by -4.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/18 and -74\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*u + 38*u - 56 + u - 4 wrt u?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (14 - (58 - -6))) + -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.572 to 0 decimal places.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((6*sqrt(480) + sqrt(480))*4)\/(-3*-1*sqrt(96)) + 5)**2.\nAnswer: 112*sqrt(5) + 4244\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 - 252. Suppose -4*r - 5 = -5*w, 0 = 4*w - 2*r - 2*r - 8. Let d be ((-84)\/2)\/w - 2. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 1, v: 3, t: 6, y: 2}. What is prob of sequence yqww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316 - 308. Is 96\/11 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(9 + (-4850)\/525)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**4 + b - 92*b**3 + 92*b**3 wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2104*x = -1435*x + 11373 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88843.19ug in tonnes?\nAnswer: 0.00000008884319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30815 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817054729.\nAnswer: 29, 131, 449, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -22. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 5*i. Let w(n) = n**2 + n. Let l(m) = u(m) - 5*w(m). Let b = 6 + -4. Let g(x) = b*x + 0*x - 3*x. Determine g(l(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-13 - -37) + -26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.92722901 and -4.\nAnswer: 7.92722901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32400448*r + 431*r**3 + 32400448*r - 432*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1 + sqrt(704) + sqrt(704))*6 + ((sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88)*2)))*-4)\/sqrt(8))**2.\nAnswer: 1536*sqrt(11) + 180260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13623 (base 9) to base 12.\nAnswer: -5433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 - 14*j + 167. Calculate the remainder when h(12) is divided by 141.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -1\/11 (b) -131 (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-54) - (-262063)\/(-226350)?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346936 (base 11) in base 16?\nAnswer: 236fd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m**3 + 16*m**3 - 25*m**3 + 2*m + 36*m**3 - 120.\nAnswer: m**3 + 2*m - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.6. Let u(h) = -3*h - 4. Suppose -3*t - 12 = 2*o + 2, 10 = -t - 2*o. Let x be u(t). Which is the biggest value? (a) -2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/70 + 155*z**4\/42 + 869*z**3\/3 + 847*z**2 - 2*z - 145. Factor w(m).\nAnswer: 2*(m + 1)*(m + 77)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 934210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1756757 (base 9) to base 12\nAnswer: -3b475a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3318200 by -4.\nAnswer: 829550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/18 - 15\/27.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) - (-23)\/(-5). Put 5, w, 1 in increasing order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 452774*b**6 - 4361547*b**2.\nAnswer: 54332880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32695 + 65150 - 32560 + 1372*f**2 - 3427*f**2. Let q(y) = 79*y**2 + 4. What is -4*g(c) - 105*q(c)?\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 14*u - 6*u = 0. Let c be (-1)\/(1*5\/(-10)). Solve -4*p - c = -7*p + l, u = 2*p + 4*l + 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7615666*u**2 + 11163218*u.\nAnswer: 15231332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*u**3 + 0*u - 5*u + 3*u - 202*u**3 in the form l*u**3 + f*u + j*u**2 + b and give l.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-1)\/(-2)). Let b = -0.04 + 3.04. Sort -5, b, d in ascending order.\nAnswer: -5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:55 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 - 3*v. Let s be j(-3). Suppose 5*g + 5 - 25 = s. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(232980\/(-23309)) - 1\/10*2. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - -5)\/(-17 + 8 + 2))\/((-2)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -31381?\nAnswer: -31375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.252 + 5.252. Which is the smallest value? (a) -44 (b) o (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 41. Let h(u) be the third derivative of -u**4\/12 + 7*u**3\/2 + 85*u**2. Give 7*h(y) + 4*l(y).\nAnswer: 2*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 169*z**2 - 169*z**2)*(-16 + 9 - 6) - 95*z**3 - 10*z**3 - 13*z**3 + 0*z + 0*z.\nAnswer: -92*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - 3*v + 3. Let i(c) = -c**2 - 5*c - 2. Let r be i(-5). Let w(b) = b**3 + b - 1. Determine r*s(a) - 6*w(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89960 is divided by 12849.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/5 and 2 + ((-72)\/7 - -2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 82721, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106.1*0.3.\nAnswer: 31.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.6 and 31570398?\nAnswer: 31570401.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 17?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -16.9\nAnswer: -591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 148\/52 - (-2)\/13. Suppose -3*k = -2*k - 5*x - 575, 1176 = 2*k + o*x. Is k a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/6 - 10*h**3\/3 + 9*h**2 + 24*h. Suppose k(y) = 0. What is y?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -70, -5, -2, -230, 3 in decreasing order.\nAnswer: 3, 0, -2, -5, -70, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 6*i**3 - 5*i + 3*i**2 + 6*i in the form j*i**3 + z + a*i**2 + l*i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -42159\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 + 8*i - 15. Determine r(11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - m + 17 = 0, 0 = 3*y - m - 18 + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28374375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074277.\nAnswer: 43, 48239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*(-4)\/12*9)\/(15\/(-5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 143*z - 146*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 9 + -9)\/(32\/(-448)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 7*o**2 + 6*o - 7. Let l be v(6). Let s = l - -7. Suppose 0 = 2*h + 3*b - 6, b - 2 + 0 = 3*h. Do h and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvfvijf. Give prob of picking 1 j and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 10*g - 60. Give k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -484ba2?\nAnswer: 484b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a factor of 1192396022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17793 by 5931.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {d: 1, z: 2, r: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let h = 8 - 13. Let v = -162.7 - -162.3. Which is the third biggest value? (a) h (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58602767*a**3 - 2*a - 29631750?\nAnswer: -351616602*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a**3 + 42*a**3 - 90*a**3 - 71*a**3 + 3*a.\nAnswer: -168*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - f + 79, -2*o + 7*o + 393 = 4*f. Let n = -77 - o. Solve n = t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131840527.3 to the nearest 100000.\nAnswer: -131800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 33*w**2 + 98*w - 369. Determine d(-36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Suppose 0 = d - 3*d. Let b(j) = -2*j - 4*j + j + d*j. Determine a(b(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3*r**2 + r - 4. Let k be f(-4). Let p be (1600\/(-416))\/(-25) - (-100)\/26. Solve 3*a = l - 0*l - k, 4*a = 5*l + p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 857 + 127?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s - 331. Determine v(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5971*u**5\/5 + 29*u**3 - 19*u**2\/2 + 4544. What is the third derivative of p(h) wrt h?\nAnswer: -143304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/119)\/(76\/(-133))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03772 - -77.74772. Let i = 77 - z. Let m = i - 0.29. Which is the third smallest value? (a) 2\/9 (b) -2\/5 (c) m (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1796.66293 - 1796.7. What is k rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 - 1. Let q(d) = -11*d**2 - 9*d - 4. Let n(y) = -c(y) - q(y). Let w be n(-9). Let a(u) = -w*u - 2*u + 6*u. Let v(z) = -3*z. Give v(a(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 5*v + 2. Let d be z(3). Find the common denominator of 151\/12 and (-35)\/(-28)*(-57)\/d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*u + 2*q, 3*u + 0*q - 54 = -3*q. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/540 - 11*u**5\/135 + 121*u**4\/108 + 46*u**2. Find z, given that y(z) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 u when three letters picked without replacement from umoroummooumo.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.63 - -69. Let b = h + -0.3699475. Round b to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -50. Sort a, 0, 4, 2 in decreasing order.\nAnswer: 4, a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327321431.99999858 - -327321444. Let g = 12 - s. Round g to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + q - 1)*(-9 + 3 + 7)*(4*q - 2*q - 4*q) in the form w*q**2 + d + o*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*b + 7*b + 27. Let t be ((-210)\/(-24))\/5 + b. Sort 13, -4\/3, t in increasing order.\nAnswer: -4\/3, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189735698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676.506 milligrams in tonnes?\nAnswer: 0.000009676506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6*b = -40. Suppose -3 = 4*l - 3*l, b*l - 4 = -4*j. What is the remainder when 27 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:05 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -11*o**6\/120 + o**5\/60 + o**4\/24 - 3*o**2. Let s be w(-2). What is the greatest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.264 take away 5240?\nAnswer: -5243.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 3, -7\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l - 214 = 0. Let o be (-3)\/(((-4)\/(-74))\/(2 + 0)) + 0. Let p = l - o. Solve 3*f = -k - 11, -3 = p*f + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 8 = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 56*n**3 + 370*n**2 - 532*n = 0.\nAnswer: 0, 2, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9820 + 9819.9999988586. Round s to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l - 2. Let k be c(2). Suppose 3*v = k + 24. Suppose j + 3*j - v = 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*w - 629, -5*y = -4*y + 4. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3 + 10 + t**2 - 1 + 5 + 8*t. Is l(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -332885, -665769, -998653, -1331537, -1664421?\n\"Answer: -332884*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114253*i**3 - 14185*i**2.\nAnswer: 685518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 4c01903a?\nAnswer: 4c019040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 + 169 = 0. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02360421753 to four dps.\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z = -273*z - 2717 + 4237 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -17, 14, -0.2, 1, -0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -17 in ascending order.\nAnswer: -17, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k - 3*k. Suppose -12 = -3*y - y + 4*u, 3*y - k*u - 6 = 0. Suppose y*w + 3*w = 9. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.534 * -433.\nAnswer: 3695.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32790 * -56\nAnswer: -1836240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let f(r) = -251761*r. Give v(f(n)).\nAnswer: 503522*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1840637, 1840616, 1840583, 1840538?\n\"Answer: -6*z**2 - 3*z + 1840646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538923.722 rounded to the nearest 1000?\nAnswer: 1539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*m - 20, -2*w + 3*m + 2 = -0*w. Let y = w + -2. Which is the biggest value? (a) 0.1 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyybyyb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-450))\/(8\/50195). Let d = 1265\/6 - v. Calculate the common denominator of -31\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/((-2)\/24). Suppose h*d + 1772 = 2*l, -2*d - l - 385 - 501 = 0. Let k = -232 - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2124 + 2?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5 - 94\/(-10)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6708243837 to the power of 1\/3, to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9522832 divided by -4.\nAnswer: -2380708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 <= 92384\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391928 != 391935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 14. Let f be h(14). Which is the nearest to f? (a) -5 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -3, -9 in decreasing order.\nAnswer: 16, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 51617, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -23205812314.\nAnswer: -23205812313.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 3*h, -4*m + 18 = 4*h - 2*m. Let j(n) = -3*n**2 - 9*n. Let a be j(-3). Sort a, -2, 3, h in decreasing order.\nAnswer: h, 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -41*c + 365. What is m(10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -55. Suppose x*t = 4*t - k - 160, 5*t + 5*k = 430. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.05 - -1.1. Let g = x - -0.05. Which is the closest to g? (a) -2\/13 (b) -2\/5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8306490 divided by 5?\nAnswer: -1661298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107797507 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -474 + 467.02. Let o = m - -11.98. Suppose 0*j + j = -4*n - 21, 0 = -4*j - 5*n - 40. Which is the closest to o? (a) j (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let i = 10 + -16. Let f be (-64)\/14 - i\/(-14). Put 1, f, o in decreasing order.\nAnswer: o, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 + 7290615*h**2 - 29162525*h + 21871905 = 0. Calculate h.\nAnswer: -1458127, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3512, 3525, 3528, 3515, 3480?\nAnswer: 3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25302150, 25302156, 25302164, 25302174?\nAnswer: 25302186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 48877.\nAnswer: 2492727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 34. Let w be n(-17). Solve w = -6*r - 26 + 38 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 - 2*b - 16. Let i be p(-13). Let k = -6 + i. Suppose -w = -2 - 3, k*t + w = 3553. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13)*f**(1\/12))\/((f**(-1\/6)*f*f)\/(f*f*((f\/f**7)\/f)\/f)))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + y + 15 = 4*y, -3*p = 2*y - 12. Let i = 8 - p. Find the second derivative of -108*z**i - 16*z + 108*z**2 + 16*z**3 wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4 + 25539*b**3 + 9*b**2 - 229851*b = 0.\nAnswer: -3, 0, 3, 25539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 10*u + 650. Which is the closest to -2? (a) 0.2 (b) 0.07 (c) 3\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfffzzfffzfffz. What is prob of picking 1 f and 1 z?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1264, -753, 100, 1295?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-35)*10\/(-10))\/((-8)\/(-14))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 3*a = -593, -4 = 2*a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -35*c - 27349. What are the prime factors of c?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/40 + (-4 - -1). What is the nearest to s in -0.2, -2\/11, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:46 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 514999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 41*w - 90. Determine i(40).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2)\/2 - (-151351)\/(-81606). Let s = 1\/402 - y. Factor -3\/7*x**2 + s*x + 9\/7.\nAnswer: -3*(x - 3)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from llglggggggg.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -7*g + 423. Suppose 3*y + g = -5*s + 270, 4*y - 206 = 2*s. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2743244 - -55443244. Round y to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 13*f**2 - 13*f - 14. Let o be c(14). Suppose 708 = h - 5*j, o = -3*h - 5*j + 641 + 1503. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 434*o**2 - 18*o - 9. Let v(a) = -108*a**2 + 4*a + 2. Let t(s) = -2*l(s) - 9*v(s). Let k(z) be the first derivative of z**2\/2 - 13. What is k(t(m))?\nAnswer: 104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.4, 5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/(f*f\/(f\/(f**(-8)*f))))\/(f**(-8)*f**(-2\/15)) assuming f is positive.\nAnswer: f**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/9 and -67\/6355?\nAnswer: 57195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 475*j**2 + 28160*j + 336380.\nAnswer: -5*(j - 139)*(j + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 37*z**6\/60 - z**4\/8 - 2213*z**3\/6 + 421*z**2 + 3. Differentiate m(c) wrt c.\nAnswer: 222*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d25ba03 + 5?\nAnswer: -1d25b9ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.02, -0.4, 1, -7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 14 - 142. Let t(q) = -q**2 - 26*q - 10. Let p be t(w). Let u = p + 71. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 362 - 1102\/3. Let m be (-14)\/(-12)*15\/18*(-36 + (-31725)\/(-875)). Which is the fourth biggest value? (a) -1\/6 (b) 1\/2 (c) m (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1175)\/(-468) - 1\/(-4). Let l = n + -33\/13. Let q be -3 + 1 + ((-13)\/(-65) - -2). Put l, q, -1\/6 in increasing order.\nAnswer: -1\/6, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19266629, -38533260, -57799891, -77066522, -96333153, -115599784?\nAnswer: -134866415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 3*o + 14, -22*o - 16 = -2*a - 34*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.8. Let q be (-8)\/16*-4 + -2. What is the closest to q in -5\/7, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let g(h) be the second derivative of h**3 - 3*h**2\/2 - 51*h. Let i(u) = -g(u) + 3*l(u). Let a(k) = 17*k**2. Determine i(a(p)).\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 35. What is the third biggest value in h, 0.4, 0.5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111111110100 (base 2) to base 15.\nAnswer: e860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + -13)\/((15\/(-334))\/(-5)). Suppose -5*t + 4*x = -1668, t - 5*x = -4*x + u. What are the prime factors of t?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444273 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*c - 7*c. Let r = 6.7 - 7. Let k = 5.1 - 0.1. What is the nearest to -1 in k, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181979236?\nAnswer: 2, 67, 769, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 4*s - 3*p + 125, 2*s - 4*p - 24 = 0. What is the lowest common multiple of 834 and s?\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-15)*(4 + 4 - 5). What is the third biggest value in -22, 2, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.0199 + -1.107. What is z rounded to three decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*t - 6730 + 6846 = -18037 - 4072 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17123*h - 19423.\nAnswer: -17123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:46 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17550349*i + 13440187?\nAnswer: 17550349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 223\/349?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -3*b**4\/4 + 3*b**3 + 11*b**2. Let a be l(-8). Calculate the greatest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 15*w**2 + 35*w + 70. What is z(17)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -536, -550, -562, -572, -580, -586, -590?\n\"Answer: m**2 - 17*m - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - ((-10 - -1) + (6 - (-4 - -12 - 3))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3 - 2*y)*(-5 + 6 + 10).\nAnswer: -22*y + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 + 284. Let y(f) = f**2 + 2*f. Let b be y(-5). What is the greatest common divisor of u and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51047941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80310, -80088, -79866, -79644, -79422?\nAnswer: -79200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 - j + 8. Let u be y(10). Let g be ((-3)\/9)\/(u\/(-30)). Let h be (-3)\/1 - (2 + g). Solve 6 + h = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.1. Let y = -4.35 - -4.39. Sort y, -3, v.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 109*q - 5*q**4 + 2 - 109*q to the form c + m*q**4 + z*q**3 + y*q + a*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) 3 (d) 679 (e) -5\/7 (f) 3\/7 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2949eb (base 16) to base 14\nAnswer: -506187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2222 + 850. Let m = -395 - l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 627*g*k**2 - 43700*g*k - 61*k**2 - 2*k wrt k?\nAnswer: 1254*g - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001158599 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244 + 81 - 1461 - 1012 + 2419*n**4 - 668 with respect to n.\nAnswer: 9676*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.4 and 2.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 420 - -254?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7252116031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * -4.8.\nAnswer: -153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 + 149*g**2 - 29*g + 104. Calculate b(24).\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -967\/76 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 10*u**2 - 12*u + 16. Let w be s(11). Solve 4*q = w*m - 14, -m - 4*m = -5*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 4, -6.\nAnswer: -22, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 1334 = 373. What is the remainder when 117 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 480, 1585, 4094, 8553, 15508, 25505?\n\"Answer: 91*m**3 + 156*m**2 + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let x be c(2). Let v(o) = -7*o - 19. Let r be v(-7). Suppose 4*u = -2*n + r, -4*u - 8 - 28 = -4*n. Put n, 2, x in increasing order.\nAnswer: x, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Let n be (-2)\/(-3)*(-6)\/u. Suppose -37 - 12 = -n*l - 5*f, -5*l + 134 = f. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 1478367 + 3271633. Suppose -7*p + q = -6*p. Round p to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*p + 5 = 1, -5*p = z + 10. Is z equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*w - 3694 = 64*w + 115*w - 751 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/(p\/(p*p**(-7\/5))*p)*p)\/p*p)\/p)\/p)\/(p\/(p*p*p\/(((p\/((p*p**3*p)\/p))\/p)\/p)))*(p**3\/p)**34)**(-1\/2) assuming p is positive.\nAnswer: p**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/(-6)*9\/(-6). Solve c = -l - 4*p, -3*l + 4*p + 10 = -13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*l + 42, 12 = a - 0*l - 2*l. Suppose 0 = -2*s + 10, -19*s = 5*y - 21*s - 550. What is the greatest common factor of y and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39837647 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 8*w + 16*w - 5*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 6941?\nAnswer: -971.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0084 in 2\/9, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8 = -2*s - 4*i, 0 = 4*s + 5*i - 22. Let d(y) = 22*y - 52. Is d(s) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 558808*z + 19516648804.\nAnswer: 4*(z + 69851)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 104, -4, -3 in descending order.\nAnswer: 104, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-1761)\/(-2348))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13*(n*n*n**(-18))\/n)\/((n*n**(-10))\/n*n*n\/n**(1\/2)) assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -2.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k. Let p(x) be the first derivative of -3*x**2 - 4. What is p(o(d))?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2163216 and 8676?\nAnswer: 6489648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13618\/3 + -4540. Let k(t) = t**3 + 10*t**2 - 1. Let p be k(-10). Let s be 14\/5 + p\/(-5). Which is the closest to -1? (a) 3\/8 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562454 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**2 + 6 - 15*v - 63*v**4 + 3*v**3 + 27*v**4 + 33*v**4.\nAnswer: -3*(v - 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = g - 359785 + 359750, 132 = -15*m + 3*g for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 17 - 29. Suppose -j*w - 4*r + 544 = -0*w, 3*w = -3*r + 804. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2444 + 4777. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2214 and -21?\nAnswer: 46494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43756, 43760, 43764?\nAnswer: 43768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 56. Let i(y) = 5*y. What is i(d(w))?\nAnswer: 5*w - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1635756 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67280.87 millimeters in centimeters?\nAnswer: 6728.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 + m**2 + m + 1. Is j(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 48*a - 306 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(1\/2))\/(2\/7). Suppose -a*b = 9*b. Solve b = m - 1 - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379336 - 374968 = -84*b for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14706328603245 + -1\nAnswer: -14706328603246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-18))\/(2\/(-4)). Let y be ((-5)\/(-6) - (-353217)\/(-7542))\/((-4)\/6). Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/678 and -25\/1287?\nAnswer: 290862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31825.0717 and 0.2?\nAnswer: -6365.01434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 13*x**2 - 14*x + 11. Let l be q(-14). What is the highest common factor of l and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n - 6. Let g(i) = -19*i - 11. Let j(f) = -26*f + 681. Let z be j(26). Give z*y(k) - 3*g(k).\nAnswer: 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.028 and 26.65?\nAnswer: 0.7462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5543767 (base 8) in base 4?\nAnswer: -11230133313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 5. Suppose 2*x - 5*n - 40 = -2*x, 4*n = -4*x + 4. Let p be f(x). Solve -4*t - 3 = p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1*(1 + 3). Let n = -2 + o. Let w be (n - -4) + 3\/1. Which is greater: w or 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2939 + 4571. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l + 16*l - 108. Solve 3*r = -y - 6 - 9, -5*r - l*y = 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -39, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6618 - -13590. Suppose -10*r - k = -17*r. List the prime factors of r.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24830 - 41243. Is 6\/((-54)\/3)*j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-19)\/(-114)*8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let z(c) = 20*c**2 + 4*c - 3. Suppose 12*d - 4 = 8*d. Let t be z(d). Let p(r) = -73*r + t*r + 26*r + 23*r. Determine k(p(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/7 + 77356*d\/7 - 154704\/7 = 0.\nAnswer: 2, 38676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 16*m - 6. What is the remainder when 55 is divided by z(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.407802 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.9 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/35)\/(23\/(-115))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.96632 - 0.03368. Which is the fourth biggest value? (a) j (b) -2 (c) -0.3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008587 rounded to seven dps?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 2*z**2 + 3*z - 178*z**3 + 177*z**3 - 3 to the form n*z**2 + r + j*z + s*z**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2 = 2*a - 3*a, a = 5*j + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p + 728 = 0, 2214 = -3*n + 2*p + p. Let t = -338 - n. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*y**3 + 137*y**3 - 530*y**3 + 2*y**3 + y**2 - y**2 - 2*y**3 - 4*y**3 + 4*y**3 + (-2*y**3 + 4*y - 4*y)*(-4 + 1 + 1) + 0*y**3 - 3*y**3 + 2*y**3.\nAnswer: -504*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 1. Let d be j(4). Let p be -11 - d - (-6 + 1). Suppose -p*n = 2*n - 1115. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1708 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -427*-8*(-2)\/(-112). Solve -3*v + h*t - 63*t = -4, 2*v - 3*t = -19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55\/87, -16, -0.2, -2\/9.\nAnswer: -16, -2\/9, -0.2, 55\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244987963.\nAnswer: 11, 22271633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 287, 289, 293, 299, 307?\n\"Answer: n**2 - n + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273672.\nAnswer: 2, 47, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*d + 58*d + 7*d**2 + (-3*d - 4*d + 5*d)*(3*d - 2*d + 0*d))*(-4*d**2 - 2*d**3 + 4*d**2).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/3)*h)*h*h)**(1\/12)\/((h**(2\/5)*h)\/(h**(-10)*h)) assuming h is positive.\nAnswer: h**(-1847\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167636 and 52733496.\nAnswer: 369134472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = -1161 + 1315 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 - 73*s**3\/2 + 727*s**2\/2 - 1695*s\/2 + 675\/2 = 0.\nAnswer: -45, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 284, 288, 292, 296, 300?\n\"Answer: 4*g + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/605 and 7 + (-1 - (4 - 157\/(-77)))?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -122*o - 1. Let k be 1\/(-2*2\/4). Is d(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446240 (base 10) to base 2.\nAnswer: -1101100111100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - u = -16, 5*n + 4*u + 14 + 6 = 0. Suppose -21 + 6 = -3*s. Sort s, n, -6 in ascending order.\nAnswer: -6, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 9. Let m be (-27)\/j - (0 - 25). Suppose 0 = 2*y + 2*k - 50, -4*y + 0*k - k = -91. What is the highest common factor of m and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836447 (base 9) in base 7?\nAnswer: -4136305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 106 = -274. Suppose 0 = 4*c + p + 200. Let k = -1 - c. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + s + 2*s**4 - s + (6*s**3 - 3*s**3 - 4*s**3)*(1517*s - 816*s + 91*s) in the form q*s**3 + x*s**4 + z + n*s + r*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 - 134. Suppose 0 = l + 41 - 35. What is the remainder when g is divided by 7 + 18 + l*1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -8. Let v = 6 - b. Suppose 5*u - 2*y - 3*y = v, u + 4*y = 10. Solve -3*q + q - u*p = -6, 2*q + p = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125*f**3*w - 3*f**3 - 245*f*w - 423351*f wrt w.\nAnswer: -125*f**3 - 245*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nono when four letters picked without replacement from nnonnnno?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g + 5. Suppose -w = 4*t - 33, -w + g*t - 54 = -3*w. Let b be w*(-1 - -4)\/(-3). What is b rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/(38*(-7)\/(-42))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.333257ng in tonnes?\nAnswer: 0.000000000000009333257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27221 plus 0.692?\nAnswer: 0.41979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*s = 5*g + 26, -3*s = g - 11. Let z be (6\/(-4))\/((-2)\/4). Suppose -23 = -17*x + 16*x - 2*k, 0 = 5*x + k + 2. Sort x, g, 6, z in decreasing order.\nAnswer: 6, z, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 27 (c) 0.2 (d) -15\/242 (e) -6 (f) 2 (g) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -44 - (1 - -26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 52555629 and 52555632 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2. Let l(o) = 2720*o**2. Determine l(u(q)).\nAnswer: 10880*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/77? (a) -0.01 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*h - h - 3*h)*(h**3 - h**3 - h**3) - h**4 - h**4 + 0*h**4 + 0*h**4 - 10*h**4 + 21*h**4)*((1 - 1 - 1)*(0 - 2 + 1) + 6 + 6 - 6).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15337868?\nAnswer: 2, 7, 13, 29, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/(1\/16). Let p(i) = i. Let v be p(q). List the prime factors of 2\/(1 - 6\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -36. Suppose -21 = -l + w*g, -l + 4*l = 5*g + 67. What is the remainder when l is divided by (-2)\/(-2)*98\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 128?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afafaaaaaaa. What is prob of sequence faa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 235*h**2 + 36*h - 55. Give u(39).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -60, 5, 15, 3, 1 in decreasing order.\nAnswer: 15, 5, 3, 1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2124 and 91\/25752.\nAnswer: 4558104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -37 - (6 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 19 + 1149. Suppose -w = 3*n - 146, -q = -2*w + w - n. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20227 + 19747. Put 4, 3, o in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -8*t + 4*t - 64, 64*n = -5*t + 1 - 199 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 78019*s + 7*s**3 + 78018*s.\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001857 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 17*j**2 + 17*j + 14. Suppose -162 = -36*d + 27*d. Let u be y(d). Sort 0.037, -3, u in decreasing order.\nAnswer: 0.037, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 14*y - 67*y + 66 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5130664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:04 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1. Let c(r) = 56331*r**2 - 7*r + 4. Let w(q) = c(q) - n(q). Let m be w(5). Suppose 6*j - 193755 = m. Round j to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okukicoac. What is prob of picking 2 o and 1 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 67?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255352 + 1?\nAnswer: -255351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667619901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14418 is divided by 646?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1564381088 to the nearest 10000.\nAnswer: 1564380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, 1, 13 in decreasing order.\nAnswer: 13, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 + 4*y. Let v be p(5). Let u be v\/30*190\/3. Suppose 4*h - 192 = -4*m, -5*m = 3*h - u - 39. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -393641*t - 15351991. Calculate a(-39).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 44 - 44)*(o + o - 4*o)*(5 + 0 - 3).\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1996 - -3496. Does 100 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(168\/(-1050)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + x**2 - 7*x**3 + 5*x + x**2 - 5*x**4 - 1 + 6*x**4 + 0*x**2 as o*x**2 + c + g*x + b*x**3 + v*x**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1c6912?\nAnswer: 1c690d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96965 + 47356 - 105714 = -7962*n + 67613 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 510*n - 355*n - 13606 - 154*n in the form p + a*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l = -g + 28*l - 1, 5*g - 19 = -2*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16995 + 17169. Let d be (-2)\/6 - 698\/(-6). What is the highest common divisor of n and d?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6.1 (b) -0.4 (c) 0.4 (d) 0.1 (e) -1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14181, -27502, -40821, -54138, -67453?\nAnswer: -80766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {z: 2, j: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 6)*(3*z**5 + 11*z**3 + 25*z**3 - 1 + 2).\nAnswer: 9*z**5 + 108*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -9247?\nAnswer: 9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 - 558614\/21. What is j rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z + 6. Let n be (-306)\/z*(-5 - -4). Let l be 249\/15 - 8\/(-20). Calculate the greatest common divisor of l and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1553 + 1559. Let x(i) = i**3 - 4*i**2 - 4*i - 2. Let m be x(5). Suppose m*y - 24 - s = 0. Solve 0 = -b - b + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a99 + 0?\nAnswer: 3a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(10)*2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 3}. What is prob of picking 1 q and 2 t?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2611 and 65800.\nAnswer: 171803800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 3078?\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*i. Let x = i - 1. Suppose 0 = 4*p - 3*p - x. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8631 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 7*m + 66 = 0. Let q be (1\/(-45))\/(m\/(-36)*-4). Is q != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 9*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -4. What is the greatest common divisor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h + 8. Let o = h + -1. Suppose -o*b - 2 + 8 = 0. Calculate the least common multiple of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1074 * 3.\nAnswer: -6.3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 424, 1396, 3220, 6184, 10576, 16684?\n\"Answer: 48*x**3 - 6*x**2 + 90*x - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.5, -1\/4, -934?\nAnswer: -934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.05 + -10. Let d = c + -0.45. Let z = d + 0.3. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 2. Suppose -j = 2, -5*y + x + 7 = -j. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22313230 (base 4) to base 15.\nAnswer: -d2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**2 - 3*l**2 - 2*l**2 + (-l + 2*l - 2*l)*(2*l + l - l) in the form q + p*l + r*l**2 and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020414 to 7 dps.\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -2, -13, -40, -89, -166?\n\"Answer: -r**3 + r**2 + 3*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let u be v(4). Let q(z) be the first derivative of z + 0*z**2 + 0*z**3 + 3\/4*z**u - 1. What is the derivative of q(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*((-148)\/8)\/37?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 11*f + 14. Suppose -71 = -6*g + 1. What are the prime factors of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (2 + -2)) + (-13 - -11) + -8 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15174384 = 190*v - 206*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -x + 2*v, -x - 3*v + 4 = 0. Let z(b) = b**3 + 5*b**2 - 4*b - 7. Let j be z(x). Solve -4*g = c - 15, 0 = -c + g + 2*g - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1321*r + 13340. Determine i(-7).\nAnswer: 4093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14 - (1 + -2)) + 3. Suppose 2*b + 3 = j, -4*j + 0*b + 2*b = -36. Let k = g + j. Calculate the least common multiple of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:17 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 2626, 5899, 10482, 16375, 23578?\nAnswer: 32091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 5) in base 3?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:36 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*n**5 + 0 + 0*n - 2\/7*n**2 - 2\/7*n**3 + 2\/7*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j - 3. Suppose -r - 14 - 4 = -5*a, r - a = -6. Let s be d(r). Let n = 4 - s. What is the least common multiple of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192281*a*q**2 - 177457*a - 15*q + 21 wrt q?\nAnswer: 384562*a*q - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2 + r + 4 - 10 - r**3 - 2 - 10*r**2 - r**4 to k*r**2 + u*r**4 + j*r + f + w*r**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 14*z**2 - 14*z - 14. Let q be g(13). Let a be 2421\/q - (-2)\/(-6). Calculate the common denominator of 3\/9 + (-951)\/a and -95\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3435900 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352513 - 321?\nAnswer: 352152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(112) + -3.\nAnswer: -3 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 86, 237, 402, 587, 798?\n\"Answer: t**3 + t**2 + 141*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 6. Let o be v\/48*(-21 + 1). Suppose -o*q - 6 = -416. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1029654 (b) 3 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/25 - 1)*-30. Suppose 2*l - 10 = 5*m, 2*m - 7*m - 20 = -4*l. Suppose m*b + t = b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31354?\nAnswer: 2, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -148*s**2. Let b(g) = -13*g - 1. Let x(z) = 90*z + 7. Let w(a) = -21*b(a) - 3*x(a). Calculate w(p(o)).\nAnswer: -444*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x - 3 - 2366*x**2 - 2364*x**2 + 4728*x**2 - 34*x**3 to l*x**3 + y + r*x + n*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 1491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1751 and -0.6.\nAnswer: 1750.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let g(c) = -7*c**3 - 2*c**2 + 6*c + 10. Let h be g(-3). Suppose -4 = -h*d + 161*d. Solve k*f = d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -6*n + 0 + 0*n**2 - 41\/12*n**4 + 0*n**3 + 9\/10*n**5. Find the third derivative of r(q) wrt q.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*t + 42, t = -u + 6*u + 21. Let z be t\/(-35) + 4\/(-10). Let g be 0 + z + 8 + 18. Solve r + 4*r = g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.06, 0, -0.21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(28)\/sqrt(4)*3)**2 - ((sqrt(7) + sqrt(70)\/(sqrt(40)\/sqrt(4)))**2 - ((sqrt(343)*-1)**2 + sqrt(343) + sqrt(7))).\nAnswer: 8*sqrt(7) + 25515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 174*r**2 - 972*r = 0. What is r?\nAnswer: 0, 6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-93)*2)\/2. Let p = -863333\/45 - -19187. Let s = p + -20\/9. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2211 = 6*q - 8151. Let n = -222 + 408. Calculate the remainder when n is divided by q\/44*12\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gzzggzzgczzgzg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u + l - 186 = 0, -2*l + 39 = u. Which is smaller: u or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -3. Let c(f) = 17*f**2 - f. Let n be c(i). Suppose n = 4*a - 4. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6075116?\nAnswer: 2, 1518779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (-4 - -2)) + -9. Calculate the smallest common multiple of 46 and 10 + (-9)\/(-63) + u\/(-7).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03826259 rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 19. Suppose 4*h - 20 = -3*t - 2*t, 0 = 2*t - 2*h - r. Let w(u) = -u + 3. Give w(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-28)*s*s**(2\/81))\/(s**(-37)*s**(-5\/2)) assuming s is positive.\nAnswer: s**(2029\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 i when three letters picked without replacement from {b: 6, i: 1, o: 2, k: 7, q: 1, s: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*f**3 - 46*f**3 - 135*f**3 - 54*f**3.\nAnswer: -499*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*a - 2 = 46, -v = a - 18. Suppose v = 2*b + 3*b. What is the third derivative of 0*y**2 - y**2 + 2*y**4 - 3*y**b wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2696705 divided by -5\nAnswer: -539341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 784 - 773. Which is the closest to -0.1? (a) 7 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112 + -113 - (0 + -1)*3. Solve -2*m = 4 + s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41971.92 - -42022. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*o**4 + 90916*o**3 + 27375441*o**2 wrt o?\nAnswer: -1368*o + 545496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**5 + s**5 - 3*s**5 + (-3*s + 2*s + 5*s)*(-s**2 + s**2 - 5*s**4))*(1 + 0 - 2).\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(272)*1 + -4 + 3 + (sqrt(272) - (1 + sqrt(272))) + -5)**2 + 1.\nAnswer: -24*sqrt(17) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290 = -3207*l + 3237*l for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 319 + -317. Suppose z*w = -2*p + 226, -2*w + 4*w - p = 220. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.203 - 0.797. Which is the second smallest value? (a) 21\/11 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 4) to base 13\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 60. Suppose -315 = -c*x + 105. What is the highest common divisor of 168 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 + 6*u**2 - 6*u + 4. Let w(y) = -4*y**3 - 7*y**2 + 7*y - 4. Give 6*w(q) + 7*x(q).\nAnswer: 4*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224) - ((sqrt(1224) - 2*sqrt(1224))*-2 + sqrt(1224)))\/((sqrt(12)\/(-2*sqrt(3)))\/sqrt(2)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2095, -8378, -18849, -33508?\nAnswer: -52355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -16. Let a = m + -17.4. Let y = a + 1.3999999. Round y to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 88841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 242264166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25191 and 1296.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (11 - 3) - (1 + -13) - -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + (-15)\/(-20). Suppose n = -0*n - q. Is n\/(2\/(-67))*2 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 33*k + 49. Let r be l(15). Let w = 1 + -1. Suppose 3*i - 13 + r = w. Solve 5*p + i = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (10 - (-11 + 12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/46*36156\/(-22008).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/22 + ((-9472)\/(-352) - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 7 = -11*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9483*a*i*s + 2*a*i + 2*a*s + 4*a - s + 20 wrt i.\nAnswer: 9483*a*s + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 1713539051 + 1713539051.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 28980 = -6*g + 7*q, 4*g - 5*q + 19348 = 0. Which is smaller: g or -4830?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10337*t**2 - 10643*t wrt t?\nAnswer: -20674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65577787 and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255 - 271 - (6 + -1 + 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/(j\/(j\/(j*j\/(((j**(-4\/15)*j*j)\/j)\/j))*j))*(j**(-13\/4)\/j)\/j**9)**10 assuming j is positive.\nAnswer: j**(-391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98004817 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 18026691, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 2\/5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*w - 3 + 3 + 103*w as c + m*w and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j - 50. Let q be r(13). Let x = q + -157. Solve x - 4 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 25 + -34 + 28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37831*x - 34807.\nAnswer: -37831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21004.28g?\nAnswer: 21004280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.5, -37, -4, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*h, 4 = 3*z + 2*h - 0. Suppose 7 = -z*i - 5. Is (-27)\/i + 2\/(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 1036719*q.\nAnswer: 3*q*(q - 345573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmccmemm. What is prob of sequence ezc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10 and 87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = c - 0*c + 4, 3*c = 2*l - 5. Which is greater: l or 36\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.476421 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**2 - l - 4. Calculate the remainder when f(-2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - -15.9. What is the fourth biggest value in -0.5, j, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0*h - 7*h = -x - 4*h - 24, 30 = -2*x + h for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501154 is divided by 966.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u**(-2\/17)*(u**0\/u)**(3\/38))**(-7\/8) assuming u is positive.\nAnswer: u**(17913\/5168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1150)\/(-1495))\/(30\/2184).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -205, -413, -601, -763, -893, -985?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 + 2*y + 1. Let z be l(-1). Let f(a) = -5*a + 14*a + a**2 + 7 + 3. Let t be f(-8). Solve -1 = -o, -p - t*o = z*o - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1000 + 971. Calculate the greatest common divisor of 438 and p.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1163?\nAnswer: 116.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1571, 4245, 6885, 9491, 12063, 14601?\n\"Answer: -17*n**2 + 2725*n - 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1)*j**(-10)*j*(j*j\/((j**6*j)\/j*j))\/(j\/j**(-10)) assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 - 460374*g + 920745\/2.\nAnswer: 3*(g - 306915)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 241*n - 948.\nAnswer: -(n + 4)*(n + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/14)\/(474\/1659). Solve j = -7*a + 8*a - s, 9 = -3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n + 1. Let w(h) = 9*h**2 - h + 595 - 393 - 200. Calculate t(a) - w(a).\nAnswer: -10*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 643606360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385 + 390. Solve l - 5*t = -5, 4*t = -u*l + 2*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 3*m**2 + 4*m - 5 + 13 + 6*m**2 to q + y*m + i*m**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 + 33330*h**5 - 13*h**3 + 1259972*h**2?\nAnswer: -120*h**3 + 1999800*h**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309005?\nAnswer: 3, 5, 19, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*c - 577 - 119 = 0. Let a(y) = y**2 + 12*y + 9. Calculate a(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annan. What is prob of sequence nana?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 1 + 2*f + 6 + 2. Let h be d(7). Let s(g) = 8*g. Let y be s(1). What is the highest common factor of y and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 81 = -2*b - 71, -14*j + 4*b - 32 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 0.14, 0.1, -6, 4, 4\/7.\nAnswer: -100, -6, 0.1, 0.14, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 102*k - 114*k + 8*k. Let o(x) be the third derivative of -8*x**5\/15 - x**2. Calculate h(o(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/6 - 20\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(48)\/sqrt(4)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -49. Suppose n = -0*n + h - 6, -2*n - 27 = -t*h. Which is the biggest value? (a) n (b) 10 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 2, 0, 5 in decreasing order.\nAnswer: 5, 2, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*t = -9, 3*f + t = -449 + 459 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16.1, 3\/4 in descending order.\nAnswer: 3\/4, -5, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8043 (b) 5 (c) 3\/7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -76. Sort b, -4, 2, -2 in decreasing order.\nAnswer: 2, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 24*y**2 + 33*y + 14. Calculate the smallest common multiple of n(-14) and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, m: 3}. What is prob of picking 2 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.26. Let u = 444 - 431. Suppose 4*f + 8 = -a, a + 0*a - u = 3*f. Sort 0.3, f, q, 0 in decreasing order.\nAnswer: 0.3, 0, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (111\/(-185))\/(33\/55). Let s(b) = 4 - 4 + 11*b + 1. Determine s(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17\/3 - 16\/3. Let x(t) be the first derivative of t**2\/2 - 3*t - 88. Let k be x(6). What is the second smallest value in k, m, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15392, -15393, -15394?\nAnswer: -15395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -4, 1, 5, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 481 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250315 - -3015?\nAnswer: 253334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nennnnnennnnn. Give prob of picking 3 n.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y + 13322 - 13226 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 7, 2.\nAnswer: -5, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/15)\/(1338\/(-1115)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4075, -4138, -4193, -4234, -4255, -4250?\n\"Answer: z**3 - 2*z**2 - 64*z - 4010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8a3 (base 13) to base 9\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5\/3 + 20*p**4\/3 + 100*p**3\/3 - 80*p**2 = 0.\nAnswer: -4, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 2*p)*(-2 + 5 - 1) + 5 + 2*p - 5)*(-1 - 3 + 7) + 4*p + 26*p + 27*p to the form r*p + g and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -48 + -42 + (-375725)\/(-4181)\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41943.5879 + -41923. Let k = d - 21.725. Let q = k - -1.12. What is q rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1151.8 + 1152. Suppose 6 = -2*j - 2*i - 8, 4*i + 31 = -5*j. Which is the nearest to n? (a) j (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -3 - 6\/(-36)*23.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7 and -25\/944.\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*q + 4, 12 = -h - 102*q + 50*q + 50*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051 + 2051 - 3851*h**3.\nAnswer: -3851*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5150 + 5403. Suppose 3*n = m - 3644. Suppose n = -12*c + 7619. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14175273241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-168 - -83) + (-76)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 + -264.46. Round f to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 101?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8142 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10013, -9993, -9959, -9911?\n\"Answer: 7*t**2 - t - 10019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d = 161*d + 316 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22627471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8))**27)**(-24) assuming p is positive.\nAnswer: p**5184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13979784 divided by 111?\nAnswer: -125944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 220 - 207. Let q = 69 - s. Suppose 0 = -2*x - 3*x - 2*b + 52, 0 = x + 3*b. What is the greatest common factor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(200))\/sqrt(8))\/((sqrt(35) - (sqrt(35) + sqrt(35)*3))\/sqrt(7)) - -1*(((sqrt(320) - (sqrt(320) + -1)) + 5)*-5)**2.\nAnswer: -sqrt(5) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 3*k**2 + 10*k + 8. Let l be d(-5). Suppose 0 = -15*i + 107 + l. Calculate the lowest common multiple of i and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 19*z + 64. Let i be w(0). Suppose -10 = -4*d - 42. What is the units digit of (i\/3)\/(d\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -43*c**4\/12 + 2*c**3\/3 + 3*c**2\/2 + 15*c. Let g be x(-1). Let p = 51 + g. Solve 2*m + p - 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 < 608\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3690876 and 53\/576.\nAnswer: 177162048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))\/(v*v\/((v**(-1\/10)*v)\/v*v*v)*v))\/(v**(-2\/9))**(-1\/81) assuming v is positive.\nAnswer: v**(-8039\/7290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57154?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.488 and 14.23?\nAnswer: 6.94424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3846656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121057 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = s - 16, -4*t + 4 = 4*s - 0*s. Let d(l) = 6*l - 1 - 5 + 1 - 9*l**2 + 8*l**2. Calculate d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5833*o - 1224. Is t(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1543586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7544\/5 in -36, -1, -0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 295, -1, 1 in descending order.\nAnswer: 295, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-777)\/(-60) - 2\/10 - (-13 + 20) and 162\/40*(-5)\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8617*m**3 + 9*m**2 - 2388*m + 18. Let n(j) = j**3 - j**2 - 2. Let s(b) = 9*n(b) + v(b). Find the second derivative of s(x) wrt x.\nAnswer: 51756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -6\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 + 123022?\nAnswer: 122204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/56 and 67\/38.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 7*y**2 + 9*y. Let w(i) = -2*i**3 + 5*i + 4*i - i - 2*i + 5*i**2. Let l be (-19)\/(-380)*30*(-10)\/(-3). Give l*n(a) - 7*w(a).\nAnswer: -a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*a + 1760 = 6384 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70525 - -0.3?\nAnswer: -70524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.01957 or -1?\nAnswer: 1.01957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101101101001000011 - 111111?\nAnswer: 1101101101101000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -1\/24*s**4 + 0*s**3 + s**2 + 0 + 0*s. Let a(y) = y. Calculate a(m(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(84)\/(sqrt(1452)*-1 - sqrt(12)) - sqrt(567)*2*2)**2.\nAnswer: -433*sqrt(7)\/3 + 1312999\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 + 8*y + 4. Let u be v(-5). Suppose -4*s - 4*i = -2*i - u, 2*i = -s + 11. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j - 1760. Let a(v) = -7*v. Calculate a(q(g)).\nAnswer: 35*g + 12320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324895 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -21*z**3 + 7*z**2 + 7*z. Let g(u) = 7*u**3 - 2*u**2 - 2*u. What is -7*g(q) - 2*w(q)?\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174120939 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 20*b = -96. Let d = b + 255. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 5177*i - 31108. What is b(-6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, q: 1, a: 1, k: 1}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11769.\nAnswer: 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + i + 3 = 0, -2*l + 1 = -5*i - 1. Let t be (-4)\/(l\/(3\/2)). Let g = t - -10. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88656098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/26)\/(7\/56). Is -10 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 4*o + 6 - 4*o + 1 as s*o**2 + w*o + a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 263820 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10221222011 (base 3) to base 11\nAnswer: -53651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/11, 2\/7, 5, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(2\/1)\/4. Suppose -1 = 3*v - 10. Suppose 5*g + v*k - 17 = 0, -k + 11 = -g + 2*k. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/((-2)\/6). Let l be (-66)\/(-14) + c\/(-21). Let g = 3282 + -3281.8. What is the closest to l in 5, g, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 515.556797 + -533.5568. Let x = 771 - 789. Let o = p - x. What is o rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-21))\/(6\/42) - 3. Suppose -2*m = -0 + 2. Are z and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8)*18\/(-495)*-11*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -536.1863?\nAnswer: 214.47452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -52*q**2 - 4*q + 88*q**2 - 41*q**2 - q**3. Let w = -15 + 25. Let k be ((-12)\/10)\/(w\/25). What is s(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 52 = -h + 5*i, -2*i = h - 129. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.77 + -12.1. Let l = r + 1.43. What is the closest to l in 5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2. Let o(v) = -v**2 - v - 1. Let g(h) = 2*o(h) - 3*w(h). Let p be g(-1). Let l = -20\/39 + -103\/78. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 g when four letters picked without replacement from pegpeege.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/60*2\/(((-44)\/33)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhhmmh. What is prob of picking 1 h and 3 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4*m**3 - 20*j**4 + 39*j**2 + 2*m**3 wrt j.\nAnswer: 72*j*m**3 - 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 20, j + 18 = 4*i. Suppose -4*h + 371 = -a, j*a + 706 = -0*a - 4*h. Let v = 775\/2 + a. Find the common denominator of 23\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1816 and 64?\nAnswer: 14528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 6*q. Solve j + 4*n + 0*n - 8 = q, -3*n + 13 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 25\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28306693463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50127341 divided by 1073?\nAnswer: 46717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -493 divided by 99\nAnswer: -493\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*o = -271, 257 = 3*k - 249*o + 247*o. Solve -3*d + 32*d = -k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 1. Let z be g(-2). Let i(p) be the third derivative of -p**6\/120 + p**5\/6 + 5*p**4\/8 - 5*p**3\/6 - 9*p**2. Is i(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.88 + 0.12. Let m = u + -13.67. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, 212, 624, 1212, 1982, 2940, 4092, 5444?\n\"Answer: f**3 + 79*f**2 - 2*f - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - -67?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:17 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(19) + 3)**2 + (sqrt(475) + -4*sqrt(475))**2 - (0 + 3*(sqrt(19)*-1 - sqrt(19)) + (-2*sqrt(228))\/sqrt(12))) + -3.\nAnswer: 18*sqrt(19) + 4316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 707*((-660)\/(-112) + -1 + (-19)\/(-76))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 10263187?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9584843167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6*j - j - 10 = 0, -4*j = 2*w. Solve -2*f = -w*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**5\/60 - v**4\/4 - 7*v**3\/6 - 2*v**2. Let g be k(-4). Let y be 0 - 2 - g*-8. Let c(f) = f + 1. What is c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -4)*(32\/10 - 3). Let b be f\/6 - (-615)\/90. Let s(q) = q**2 - 8*q + 3. Determine s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10548062 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -331 + -4 + 4 + -2 + 2. Let f = 193 + g. Calculate the remainder when 45 is divided by (-2 - f\/5) + (-9)\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhhhvhvvhl. What is prob of picking 2 h?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = 5*m + 4*t, -185*m - 134 = -186*m + 3*t. Is 119 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10029200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106858 and 11086?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 108. Let u be (-1 - (-19)\/(-5))*(-35)\/y. Suppose -2*f + u = -f - 2*j, -f = -3*j - 16. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phphpp. What is prob of picking 2 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1008)\/(-96))\/(6\/(-8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**4 - 26*i**3 - 56*i**2 + 259*i + 192. Let k(b) = -16*b**4 + 130*b**3 + 284*b**2 - 1294*b - 960. Let d(f) = 3*k(f) + 14*t(f). Solve d(o) = 0.\nAnswer: -3, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158885*c - 158623*c + 27772 = 0 for c.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 3428, 7678, 13616, 21236?\nAnswer: 30532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 669459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 4*z**6 + 7*z**3\/3 - 5*z + 193. Find the third derivative of i(y) wrt y.\nAnswer: 1440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 8\/7, 0.09, -2\/11, 0.5.\nAnswer: -2\/11, 0.09, 0.5, 8\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -51*u + 276, -5*c + 94 + 6 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 354814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 7*r + 10*r - 5*r**2 + r + 2*r - r**2 - 2*r + (4 + r - 4)*(-3*r - r + 6*r).\nAnswer: -4*r**2 + 4*r - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6083 - 6014. Put -4, 1, q in decreasing order.\nAnswer: q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7051 - -7068. Let g(o) = -33*o**3 + 1. Let c be g(-2). Suppose 0 = z*u - c - 279. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/((-375)\/1250).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -15 - -15 - ((8 - 19) + 50)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 39. Suppose -m - 4*m = 25. Let x be ((17\/m)\/1)\/(16\/(-80)). Is 14 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 12. Let b = q - -11447. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -619, -2435, -5451, -9667, -15083, -21699?\n\"Answer: -600*f**2 - 16*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 76 + 152 - 77)*(-3*y + 2*y + 2*y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 339*k**2\/4 - 659*k\/4 + 5055\/4.\nAnswer: -(k - 3)*(k + 5)*(k + 337)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2035112.6 + 31.53.\nAnswer: 2035144.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 1 + 1)*(-2*f + f - f) + 8*f**2 - 1010 - 995 + 2022 + 7*f**2 + 10*f**2 - f**2.\nAnswer: 20*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5 - 9*n**4 + 6*n**3 + 18*n**2 - 3*n - 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h + c - 35, h - 59 = -4*c. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*q = 8, -5*v - 5*q = -389 + 379 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2559 + 11050. Suppose o - 4456 - 4047 = 2*t, -o = 2*t - q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(33*w + w**4 - 33*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = 12. Let r(q) = 5*q + 7*q - 10*q - k*q. Let i(d) = 14*d**2. Determine r(i(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (41 + 1 + -3). Let i = 42 + g. Calculate the remainder when 17 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 150*m + 4*m**3 + 60*m**2 + 146*m - 192*m - 366 - 114 = 0?\nAnswer: -12, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -48 - 41 - 3\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 761*x**2 + 183*x + 1321. Calculate w(190).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.3, -1, 2920?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11891156 is divided by 3417?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354182 + 177084 + 177096 + 30*g**2.\nAnswer: 30*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 91990.52um?\nAnswer: 91.99052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638040995, 1276081982, 1914122955, 2552163908, 3190204835, 3828245730, 4466286587?\nAnswer: 5104327400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1113 - -6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 652951241 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15420, 15555, 15748, 15999, 16308?\nAnswer: 16675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r. Let q = 1 + r. Let h be (6\/14)\/((-9)\/6). What is the closest to h in 2\/9, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -5\/6*g**3 + 0 - 1\/4*g**4 - 10*g**2 + 0*g. What is the first derivative of i(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8853.33 - -8779. Let d = -74 - h. Round d to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 8*j - 6*j - 8*j in the form y*j + q and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let k(l) = l - 3. Let m(d) = -3*h(d) + k(d). Let g(z) = 689*z + 692*z - 1364*z. Determine g(m(t)).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 7*c + 29. Let t(a) = -2*a**2 + 3*a - 15. What is -3*k(g) - 7*t(g)?\nAnswer: -g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 911 + 738. Suppose l = y + 178. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1431 divided by -3\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 47113 divided by -1105\nAnswer: -47113\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15912 divided by -4?\nAnswer: -3978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 + 77*k + 362. List the prime factors of y(-5).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 l when four letters picked without replacement from {e: 2, y: 3, l: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000087912362 to 7 dps.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/30 - 13*z**4\/24 + 5*z**3\/3 + 42*z**2 - 11. Determine l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051554 less than or equal to 1051558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14186*i*t*x - 16087*i*x - 49262*t*x + 1899*t with respect to i.\nAnswer: -14186*t*x - 16087*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 631*p - 29*p + 196.\nAnswer: 602*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-520)\/16) + (-324)\/10665*(-5 - 9).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3374.0767 to zero decimal places.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6*(-2 - -4). Let q(o) = -5*o - o + 2*o. What is the units digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/101 (b) -1 (c) 480 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140866*p**3 + 70720*p**3 + 70021*p**3.\nAnswer: -125*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*o + 4*l - 4, -5*o = -3*l + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 + 3*t**3\/2 - t**2 + 2*t - 41. What is h(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-2 - 1)*(520\/24 + -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45514 = 15*q - 8*q. Let o = q + 669700\/103. Which is bigger: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 100. Let n(o) = -2*o + 33. Calculate 16*n(c) - 5*y(c).\nAnswer: -12*c + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-231))\/((-4)\/(-21))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/6 - 1943307*l**2\/2 - 2832334487145*l\/2 - 8496985971681\/2 = 0. Calculate l.\nAnswer: -2914959, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*3\/(-1 - -4). Suppose z*x = -x + 17. Solve 2*t - t + 5*p + x = 0, t + 3*p + 11 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 2. Let o be u(3). Suppose o*c - 86 = 169. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 486 in 0.2, 0.5, -1\/3, 2\/5, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 15) to base 14\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 24195*r - 48370.\nAnswer: -5*(r + 2)*(r + 4837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4667, 0, -1 in decreasing order.\nAnswer: 4667, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f = 8, m - 1 = 3*f + 6. Let u be ((-5)\/m)\/((-10)\/80). Find the first derivative of 7 + u + 0*g - 19*g + 4*g wrt g.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 4*v. Let m = 65 + v. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 6*m - 11. Let n be a(8). Suppose n = s - 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.03 and -33.\nAnswer: -330.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 3\/230815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182505177*p**2 + 239587*p + 8 wrt p.\nAnswer: -365010354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131906 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -16, 94, -28 in ascending order.\nAnswer: -28, -16, 7, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9 + 8 - 7*z**2 - 8*z**2 - z + z**3. Let y be v(15). Solve 4*q - 3 = y*r + q, r - 4*q + 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/60 + k**4\/4 + k**3\/6 - 10*k**2. Let p(r) be the first derivative of n(r). What is the first derivative of p(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.299990015 + 38.3. What is a rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atat when four letters picked without replacement from ataaaaataaaa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110)*-3)\/(sqrt(160)*-1) + -2)**2.\nAnswer: 6*sqrt(11) + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:31 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 112. Suppose 2*x = -r*x + 16. Solve 7*c = x*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + (-30 - -50))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Suppose -257*b + 258*b = 31. Let d(y) = 1 - b*y + 7*y + 14*y. Calculate d(s(o)).\nAnswer: 10*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 69 = -5*t. What is the greatest common divisor of t and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055585 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -19650817 smaller than -19650803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1053 + -63?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 6. Let b = 9 - 13. What is the units digit of p(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2487 - -2487. What is the closest to z in 2\/11, 2\/19, 5\/6, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2792, -5551, -8284, -10991, -13672?\nAnswer: -16327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -82 + 3*j - 1\/2*j**2. What is r(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 106*w**2. Let y be v(-1). Suppose -4*z + 1 = -11. Suppose 45 = o + q, -z*o + 3*q + y + 35 = 0. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 38*c**2 - 2*c - 9. What is x(19)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 3*w)*(-2*w + 8*w + 4*w**3 - 12*w).\nAnswer: 8*w**4 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + (-8 - -3)) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 take away 630926?\nAnswer: -630964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 5) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044662 rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**5 - 8353*k**4 + 2*k**3 + 30983621*k wrt k.\nAnswer: -160*k**3 - 100236*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - -90d32?\nAnswer: 90d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -10*a**4 + 3*a**2 - 9*a - a**4 + 9*a**3 + 8*a**4 + 0*a**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.687 in 2\/53, 4, 9\/4, -4?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/240*-10 - 4*(-3)\/96\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.2464 + -0.2564. Round p to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 94 + 102. Suppose y*p = -8*p + 6440. List the prime factors of p.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333233 is divided by 111070?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v + x, 3*v + 4*x = 5*v - 2. Sort v, 2, -4 in ascending order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-99)\/(-90))\/(10 + 2500\/(-240))\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a - 9. Let g(i) = 3*i**2 + 11*i - 27. What is 4*g(t) - 11*r(t)?\nAnswer: t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655 and 4440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((1 - 2 - 2) + 12) - (-388 + 329).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18960 + 35009. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*9\/(-27))\/(-6). Solve 2*t - 16 = 2*s, r = 2*t - 4*s + s - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -121, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 23*t + 44. Let k be g(-21). Let s be 1\/(-2)*k\/(-4). Factor 1\/8*o - 1\/8*o**3 + 1\/4*o**2 - s.\nAnswer: -(o - 2)*(o - 1)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 89 - 89. Let b = 64.2 + -66. What is the third biggest value in n, b, -5, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 11. Let s = 169 + -34. Suppose 3*m = -2*m + 5*d + s, -m = -5*d - 11. Calculate the remainder when m is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3696866 and 29930.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -5*w + 2*p, 3*p = -4*w + 400 - 79. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) + -2 + sqrt(612)).\nAnswer: -2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126806*w**2*z**2 + 43*w**2*z - 20*w*z**3 + w*z**2 + 3*w*z - 109*w - 3*z - 38 wrt z?\nAnswer: 253612*w**2 - 120*w*z + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q - 30 = -75*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -25. Let d be (-52)\/36 - (-6)\/x. Let p = 1 - 2. What is the closest to -0.1 in 1, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65338 - 77?\nAnswer: -653b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - (-1*sqrt(11) + 5)) - sqrt(11)*3*-1)**2 - (-2 + -3*(sqrt(176) + sqrt(11)) + 1).\nAnswer: -45*sqrt(11) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-54)\/72)\/((-6)\/8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 749633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*x + 40 = 0, 4*x = 6*x. Suppose i*r + 37 = 97. What is the closest to r in -5, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4290\/208)\/55)\/((-24)\/224)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 100*k + 2 - 1 + 0 - 2*k**2 to the form f*k + v + a*k**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 452 + -273. Let g = 1511 + -1497. Calculate the remainder when z is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f = -49*f - 880. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/571418 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72627\/22 + -3300. Let g = -10\/51 + -349\/3162. Let i = g - -4003\/620. What is the common denominator of i and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108.01 + 109. Let s = 1.09 - m. Which is the closest to s? (a) -2\/27 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110402533*-0.1.\nAnswer: -11040253.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**5 - 368*a**4 + 40228*a**3 - 787128*a**2 + 4587520*a - 1443200 = 0.\nAnswer: -82, 1\/3, 11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*o - 468 = 63*o - 181*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -17. Let h = -23 - m. Suppose i + 4 = h*i. Do -3 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h - 617776 = -82*h - l, -6 = 2*l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -813 + 578. Let q = -235 - p. Solve q*o - 4*o = 2*v - 10, -o = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -31. Solve -v = 2*u - 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15 + 0)\/((-42)\/1260).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -32*o**3 + 2*o**2 + 3*o - 13. Let l(y) = 22*y**3 - y**2 - 2*y + 9. Calculate 5*j(w) + 7*l(w).\nAnswer: -6*w**3 + 3*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/11, 0.3, -0.4 in descending order.\nAnswer: 0.3, 1\/11, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, -3, 1, -0.8 in descending order.\nAnswer: 5, 1, 2\/9, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/150 + 11*a**6\/900 - a**5\/150 - a**3\/3 + 6. Let u(y) be the third derivative of g(y). Factor u(f).\nAnswer: -2*f*(2*f - 1)*(7*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00808439954 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.1709mm in nanometers?\nAnswer: 935170900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 98*o + 11. What is the units digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57857238, 57857237, 57857234, 57857229, 57857222?\nAnswer: 57857213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/40069, -3\/8, -8 in increasing order.\nAnswer: -8, -3\/8, -1\/40069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y + 5. Suppose 3*r - 4*j = -2, -5*j = 5*r - 397 + 447. Calculate l(r).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 + -103 - 0) + -36 + 138 + -103.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-2)\/(7 - 3)). Let p(s) = -s**3 + 6*s**2 - 5*s - 1. What is the tens digit of p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.511 + 784.241. Let p = m - 781. Let v = -0.63 + p. What is v rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6 - b - 2*b**2 + 1 + 5*b**2. Suppose -42*k - 2*z = -37*k - 32, 20 = -5*z. Calculate the remainder when x(4) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2*g + 3. Let k be f(-3). Suppose -3*x + 8 = 2*w, k*x - x = w - 1. Calculate the smallest common multiple of 4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 9*f - 1694 - 937 + 5*f.\nAnswer: -10*f - 2631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21280 and 3040?\nAnswer: 21280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6555 minus -102.591569?\nAnswer: 103.247069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 214197, 428395, 642593?\n\"Answer: 214198*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1560*m*w*x**2 - 2*m*x**3 - 14*w*x**3 - 40*w with respect to m.\nAnswer: -1560*w*x**2 - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2386789788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 - 117*j**3 - 25851*j**2 - 632835*j = 0. Calculate j.\nAnswer: -49, -35, 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2355342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 169.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c - 4*c + 3*c)*(75*c - 109 + 109).\nAnswer: -150*c**2 - 75*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33180 and 46215?\nAnswer: 1294020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27316 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12 - b**2 + 21*b + 30 - 22. Let j be l(22). Is (737\/4)\/(18\/8 + j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8759 and 47690.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -460082*i**2 - 4543*i + 4543. Let l(o) = -405*o**2 - 4*o + 4. Let a(q) = 4*h(q) - 4543*l(q). Let d(t) = -14*t. Determine d(a(r)).\nAnswer: 5782*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-162)*((-25)\/(-90) - (-4)\/18)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**5\/4 - 347*s**4\/4 + 427*s**3 + 323*s**2 - 192*s = 0?\nAnswer: -1, 0, 2\/5, 6, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3597*x**3 + 97993*x**2 - 23638*x + 1080 = 0.\nAnswer: 20\/327, 2\/11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + 2 - 136\/(-108). Let r be ((-1)\/18)\/(6\/40). Let n = w + r. Which is the second smallest value? (a) 0.5 (b) -1\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = -47759*w + 47781*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from yyaaazyywaa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1803933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, 1 q, and 1 r when four letters picked without replacement from huxhurxqrxrsqrsr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 211 = i, 2*s - 3*i - 33 = 110. Suppose -5*l + s = 4*p, 2*l + 2*p - 25 - 3 = 0. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/3 (c) -1\/4 (d) 1 (e) -0.008 (f) 129\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3\/7 + 598828*m**2\/7 + 22410089804*m\/7 - 22414281796 = 0.\nAnswer: -74857, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z**2 + 2*z + 1. Let s be q(-1). Suppose 0 = -2*r + 4*b - 6, 4*r + 22 = -4*b + 2*b. Let d = s + r. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2810*b + 3670*b + 3433*b + 327129 = 0 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 - k - 4. Let t be o(5). Suppose t = -7*s + 1598. Let q = -129 + s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 13*y - 16 = 0. Suppose 18*t - y = 14*t. Sort 2, t, 59.\nAnswer: t, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 37. Let s be k(-20). Let u(j) = j - 2. Let g be u(6). Determine a so that 0*a + 3\/2*a**s + 3*a**5 + 21\/4*a**g - 3\/4*a**2 + 0 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/648 and -79\/10870?\nAnswer: 3521880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.0138 + 0.0138. Let n = -2.19 - -2.3. Let m = 0.01 - n. What is the nearest to m in 1\/4, 3, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*l + 6 = 47, -2*l - 25 = -3*d. Suppose -h = 2*h - d. What is the second derivative of 6*j**h + j + 165*j**2 - 165*j**2 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600380617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1695, -6728, -15117, -26862, -41963, -60420, -82233?\nAnswer: -107402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**7*p\/p**(-2)*(p*p\/(p\/((p\/(p*p**(-9)))\/p)))\/((p**(-1\/11)*p)\/p*p) assuming p is positive.\nAnswer: p**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r - 11*r + 27*r + 246*r**3.\nAnswer: 246*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, o: 1, y: 2, n: 4}. Give prob of sequence ao.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 - 2. Let c(g) = 11*g + 21. Let t be c(-2). Let i be k(t). Solve l - 2*n + n = -i, -2*n = -l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3889085 * 11\nAnswer: -42779935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 298. Let m = -261.000278 + n. Round m to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/297 and 41\/1062?\nAnswer: 35046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 49*r**2\/4 + 47*r\/2.\nAnswer: r*(r + 2)*(r + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/12906 and -31\/1566?\nAnswer: 374274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 6\/35 (b) -0.3 (c) -3\/8 (d) -4.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 2*j + 136*j**4 - 4*j - 74*j**3 - 4*j**2 + 72*j**3 in the form r*j**3 + n + a*j**2 + z*j**4 + p*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27577 + -4?\nAnswer: 27573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 w, and 1 u when four letters picked without replacement from {q: 5, k: 1, l: 1, w: 2, u: 2, m: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c + 3*c + 0*c)*(3 - 1 + 4)*(-2 + 0 + 1) + 4*c - 6*c + c.\nAnswer: -13*c - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 39*g**3 - 2*g**4 - 5*g + 2 + 187*g**3 - 243*g**3 as n*g**4 + z*g**2 + x*g + m*g**3 + a and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 83. Suppose -5*t + 156 = o. What is the highest common factor of 240 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (4 + -14 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -12*d**2 - 786430*d + 131072 = 0.\nAnswer: -65536, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -18, -27, -40?\n\"Answer: -2*v**2 + v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v + 3. Let f(o) = -1. Determine 3*f(h) + w(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/25)\/(4*30\/600)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -21, -61, -127, -225, -361, -541?\n\"Answer: -j**3 - 4*j**2 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + 9)*(15*q**3 + 5*q**3 + 2*q**3) + (q - q + 2*q**2)*(-5*q + 5*q + q).\nAnswer: 222*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389.374cm in nanometers?\nAnswer: 43893740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.683 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 509\/177 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 31*s - 538. Let x be z(45). Which is greater: x or -35?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4388*c - 8782*c + 4396*c. Let q(m) = -6*m - 102. Determine q(o(u)).\nAnswer: -12*u - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53\/((-21200)\/60))\/((-2)\/20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12349605.\nAnswer: 3, 5, 173, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9900661853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**7\/840 - x**6\/240 + x**5\/240 - x**2 + 4*x. Let a(p) be the first derivative of j(p). Factor a(q).\nAnswer: q**2*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185472 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2159 times 0.1\nAnswer: -215.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 11*f - 186. Let r = 2 - 0. Suppose r*p - f = p. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 4)*(-1 + 1 - 2)*(0 - o + 0).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 88*i + 21. Let a(w) = 51*w + 10. Let h(l) = 7*a(l) - 4*u(l). Determine h(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**2 - 550*q + 1146. Determine r(-57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((16 + -6 - 25) + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 876339 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c425 - -5?\nAnswer: -1c420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t - 3. Let l be u(-2). Let m(s) = 4*s + 23. Let k be -11 - (-4 + 0 - 2). Let q be m(k). Solve -l = z + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (-106)\/(-3). Let i = 97 - d. Let q = 103 - i. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12472*y - 12458*y = 224. Solve -y*o = -10*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 14238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (45 - 9)\/9 + -4. Solve -4*t + 2*h - 30 = -o*h, 0 = 2*t - 4*h + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/48*(1 - 1). Suppose -3*i - 595 = -z, 4*i + 598 = z - q*i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 4:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6252480 is divided by 130258.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*t**4 - 2*t**4 - 8*t**4 - 32*t - 3*t**2 - 21*t**4 - 2 to the form f*t**4 + i*t**2 + d*t**3 + u + b*t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(13 - 3)*163\/3. Suppose -y*r + 160*r = -16617. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.81 and 1.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 113670 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.3. Let y = 0.88 - -0.22. Let o = y - 5.1. What is the third biggest value in q, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25590*g**2 + 208200 wrt g?\nAnswer: -51180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 - 10*y**2 - 10*y - 10. Let b(q) = 14*q**3 - 30*q**2 - 30*q - 30. Let a(r) = -6*b(r) + 17*l(r). What is the tens digit of a(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 14960000 = -3*k. Suppose -k = 19*l + l. What is l rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-12 + 3 + 1 + 1 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**2 - 5*m + 9. Let o(w) = -3*w + 3*w**2 - 10*w**2 + 5 + w**2. Let b(k) = -4*d(k) + 7*o(k). Factor b(n).\nAnswer: (n - 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16688, -66794, -150312, -267248, -417608, -601398, -818624, -1069292?\nAnswer: -1353408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y + 9868*y**3 - 9873*y**3 + 11*y.\nAnswer: -5*y*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30512*h**2 + 3 + 30514*h**2 - 86*h**3 - 1 + 4*h to u*h + j + n*h**3 + r*h**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242.524, -675, -3\/5 in descending order.\nAnswer: -3\/5, -242.524, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let z(a) = -49*a. Let v(k) = -4218*k. Let w(d) = -3*v(d) + 259*z(d). What is r(w(n))?\nAnswer: -1369*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**(-32)*b)\/b)))**(1\/31)\/(b**(-41)*b**(2\/17)*b) assuming b is positive.\nAnswer: b**(20474\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-30)\/14 + 1)*-4. Let j be (1 - 0)*d + -2. Suppose j*a - 49 = 146. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 910.91 - 901. Let m = 10 - i. Let d be 4 + 1*-1*-1. Which is the smallest value? (a) m (b) -2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -440007 and 2.\nAnswer: -880014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284639185.\nAnswer: 5, 56927837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36682501.2 rounded to the nearest one thousand?\nAnswer: 36683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(26 - 23)*(-21)\/(-8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 120. Let p = 1 + 2. Let i = p + -5. Which is the third biggest value? (a) 2\/9 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 5, 2\/9, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(42\/(-378)). Let u(p) = p + v*p - 2*p + p. Let z(b) = -b**2. Calculate z(u(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -29*o - 16. Suppose 3*i = 5*u + 386, 4*u + 168 + 142 = 3*i. Let b = u - -70. Does 39 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 104, 124, 162, 224?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 133)*(-2)\/4. Let s = r - 269\/4. Let u = 12 - 12.3. Put 0.4, s, u in descending order.\nAnswer: 0.4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than -10233698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/35)\/(45\/315)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 - a + 3 + 0*a. Let k(h) = -2*h - 1 + 4*h - h. Let r be (-8 + 7)\/((-3)\/(-12)). Determine r*k(m) - 5*n(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n - 8. Let j(o) = 9*o - 5. Let r(q) = -5*b(q) + 8*j(q). Let a be (-45)\/30*152\/(-6). Let z(h) = 3439 + a*h - 3439. Give z(r(g)).\nAnswer: 76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, 5, 56, 4, -1 in descending order.\nAnswer: 56, 20, 5, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:47 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 13 + 5 - 2*z)*(2*z**3 - z**3 - 5*z**3).\nAnswer: 8*z**4 - 60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03281 - 4.03281. Which is the nearest to -0.1? (a) -57 (b) w (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -d - 295, -5*k + 3*d + 493 = -0*d. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 11*s + 65 = 0. Let b be (-5)\/(-1) + (s - 10). Suppose 5*n - o = 10, n = -0*o - o + b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 97 (b) -3 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542 and 6746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - -27. Suppose 5*v - r = 80. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 12561885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52950, -105931, -158912, -211893, -264874?\n\"Answer: -52981*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose -8 - 13 = s + 4*r, -4*r = -s + f. Let m = 9 - s. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10006 + 10006.5. Which is the closest to 1\/3? (a) -10 (b) 0.4 (c) -2.3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 - 13*c - 15. Suppose 0*v + 5*v - 25 = 0. Let t(b) = 6*b**2 - 6*b - 7. Let w(z) = v*t(z) - 2*i(z). Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfpygyfk. What is prob of sequence gyt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2\/2 - 53. Let a(d) be the second derivative of 1\/3*d**3 + 0*d**2 - 2*d + 0. Determine q(a(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -30*t**2 - 35*t - 35. Let n(q) = 5*q**2 + 6*q + 6. Let u(w) = 6*j(w) + 35*n(w). Let a(p) = -19*p**2 - 6*p. Determine a(u(v)).\nAnswer: -475*v**4 + 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 55*a**2 - 5*a - 3. What are the prime factors of c(-4)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.5607 years in months?\nAnswer: 2358.7284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(516\/(-86)*(-3)\/18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -0*v. Let j(z) = -3 + 4 - z**2 + 5 + v*z. Give j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + 45)\/((-9)\/(-12)). Find the first derivative of 34*k**2 - 12*k + 95 - h*k**2 + 36*k**2 - 32 wrt k.\nAnswer: 4*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/77, -171, 0.47?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 less than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159\/2 + 238\/3. Let z = -0.04 + -0.36. What is the closest to 2 in z, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 32 = 4*r, 12 = -926*k + 928*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2. Let o(a) = 54*a - 3. Calculate r(o(h)).\nAnswer: 8748*h**2 - 972*h + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47364 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -909.2 - -903.2. Which is the closest to -0.1? (a) q (b) 0.5 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 306*v = -309*v + 64, -4*v = 4*l - 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016*l + 942*l - 518 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 7, s: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 13719869?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:01 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-38150532.\nAnswer: 152602128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/185 + 6671\/2035. Find the common denominator of 38\/6*(-210)\/112 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljlj when four letters picked without replacement from {j: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krksssrsskk. What is prob of sequence skks?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(847) + -1)*-5)**2.\nAnswer: -42550 + 2200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2102*l**4 + 30765*l**2 - 30765*l**2 + (2*l + 2*l - 3*l)*(-l**3 + 0*l**3 + 0*l**3).\nAnswer: 2101*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29982 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 444 - 440. What is the second derivative of -11*q**2 - 913*q + x + 911*q + 186*q**4 + 11*q**2 wrt q?\nAnswer: 2232*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 614\/7. Let d be (-12582)\/(-48930) - (-1)\/7. What is the nearest to d in o, 9, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -29. Let i(x) be the third derivative of 0*x + 1\/60*x**5 + 2*x**2 + 0*x**4 + 0*x**3 + h. Let q(m) = -2*m**2. Calculate i(q(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36799798 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l - 2, -2*c + 5 = 5*l. Solve -c = -n - n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-26\/5)\/d**(-11)*d**(6\/11)*d\/((d*d\/(d**(-19)*d))\/d)*d assuming d is positive.\nAnswer: d**(-586\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - -5 - (1601 + -1 + 1). Let w = -806 - l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.882 + -0.882. What is the closest to 1 in -2\/7, 0.1, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 2*q**2 - 4*q**2 + 5*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 169*u + 990. Let j be f(90). What is the nearest to j in -5, 1\/7, 2\/7, 2\/157?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 335 + -329. Let m be -4 - ((3 - -2) + (-35394)\/p). Round m to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c. Let r be a(3). Let p(v) = v - 4 + 18*v**3 + 6*v - 17*v**3 + 3*v**2 + 6*v**2. Let d be p(-8). Solve d*u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 + -140?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 756*f**3*u - 135*f**3 + u - 52506 with respect to f.\nAnswer: 2268*f**2*u - 405*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-678)\/5 - 24\/(-40). Let i be (-6)\/(-27) - (-57)\/m. Which is the biggest value? (a) 0.5 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.26. Let c = 1649230.2000002 - 1649230. Let y = z - c. What is y rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose 0 = -q*j + 3*j - 9. Solve 4*f - 5*k + j*k - 6 = 0, 0 = f + k - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 96 = 14*u. Let w be (3*1)\/(u\/64). Let y = w - -13. Solve 0 = -i - y*q + 23, i + 1 = -2*i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212201220 - -2201200?\nAnswer: -210000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 6*x - 6. Let b be y(-5). Suppose -4 = 2*h - 4*h + 2*z, -z = 5*h - 10. Let u be h\/(6\/9) + -1. What is the greatest common divisor of b and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20829936 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*q**3 - 16*q + 20 - 7 - 6 in the form x + c*q + s*q**2 + d*q**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10551024 and 5\/26644.\nAnswer: 10551024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 + y + 92. Let d = -41 - -41. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221211122211221 - -22?\nAnswer: -221211122211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178507 is divided by 4247.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -398, -19, -10 in increasing order.\nAnswer: -398, -19, -10, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477135 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:07 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -19*q**4\/4 + 2*q**3\/3 + q**2 + 2*q + 667. Let t(j) = 893*j**3 - 95*j**2 - 95*j - 95. Give 2*t(v) + 95*w(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3*u + 3*u + 2*u**2) + 20*u**2 + 182*u**2 + 27*u**2.\nAnswer: 233*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 23 = -3*s + h, 0 = s + 2*h - 4. Find the common denominator of (-4)\/s - (-2555)\/200 and -49\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 - 8) + 10 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116 - -43) + (19 - (6 + (14 - 9 - 3)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -8*d**3\/3 + d**2 - 43*d + 2. Let w(n) = -15*n + 2. Determine -6*s(r) + 7*w(r).\nAnswer: -9*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(-49)\/(o**(1\/3))**(-1\/62))\/((o*o*(o*o*((((o*o**(2\/5))\/o)\/o)\/o)\/o)\/o*o)\/o**(5\/3))**14 assuming o is positive.\nAnswer: o**(-4917\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/24 - t**3\/6 + 5*t**2 - 6*t. Give x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-14) - (-36)\/84. Suppose w = 6*b - 8*b + 6. Solve -o - 2*z = -13, b*o + 7 = 5*z + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6.31 (b) -8 (c) 16.763 (d) -2\/3 (e) -3\/5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 183*f = 34*f - 1042 + 182 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -22982 (c) 12484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 198, -2 in descending order.\nAnswer: 198, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*w + 2248 = 2272, 5*k = -2*w + 189 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(26 - 39*k - 50 + 23).\nAnswer: 78*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 296 = 6*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1765307 (base 9) to base 3\nAnswer: 1212012100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17007 + 64435 = 1894*h for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45\/6 - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 114*g**2 + 12*g - 2. Let r(j) = -3*j**2 - j. Calculate -2*r(s) + x(s).\nAnswer: 120*s**2 + 14*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -8 + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 22*p - 270. What is the smallest common multiple of 10 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.2 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2154827 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/96 and 1 - (-8 - (-325)\/32)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94722*u + 15 - 94765*u + 189330*u in the form w + v*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(-11\/3))\/l)**(6\/17)\/(l**(-13)\/(l\/l**(-13))))**34 assuming l is positive.\nAnswer: l**974","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16660 and 11084?\nAnswer: 2715580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*m - 6*m - 2*p, 20 = 4*m + 4*p. Let b(y) = 3*y**2 + y - 22. Let u be b(m). Solve u = -v - 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose 3*v + v = m. Suppose -a + 3 - 2 = v. Is a smaller than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -237, -3 in decreasing order.\nAnswer: -3, -4, -17, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59157417 divided by -19719139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coopccccocofcopccp. Give prob of picking 2 o and 1 p.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - q + (2 - 1 - 3)*(3*q - 5*q + q))*(5 - 5 + 2*q) - 372*q**2 - 375*q**2 + 38*q**2 + 3*q**2 to u*q + c*q**2 + b and give c.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*49\/7*(-8)\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 156 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4281 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 6) to base 16.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 55098 = -382638. Which is bigger: 6345 or l?\nAnswer: 6345","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.975 - -0.025. Let n = 38 - t. Let x = n + 37.8. Which is the closest to 0? (a) x (b) 1\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 4*z - 10. Let u = 84 + -87. What is the smallest common multiple of j(u) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121183*s + 121197*s = -224 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qltwm. What is prob of sequence lllm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804664 is divided by 1402287.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-6)\/(-28)). Let z(m) be the first derivative of -4*m**2 + 6*m - 9. Let n(v) = -7*v + 5. What is s*n(d) - 6*z(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5883*v**4 + 323*v - 4.\nAnswer: 70596*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**2 + 5*v + 6. Let x(m) = m + 1. Let o(p) = -w(p) + 6*x(p). Let l(a) = -2*a**2. Give l(o(t)).\nAnswer: -242*t**4 + 44*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 24450?\nAnswer: 1\/8150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 + 30*j**4 - 180*j**3 + 200*j**2 = 0. What is j?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2. Let v(l) be the first derivative of -l**5\/30 - 6*l**3 + 10. Let t(q) be the third derivative of v(q). What is t(j(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-770)\/266 - -3 - 10264\/38. Which is smaller: -539\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-80)*15\/21 - (-6240)\/(-1120)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (217*h + 20 - 5 - 14)*(3*h - 7*h + 8*h + 10*h) in the form i + r*h + c*h**2 and give c.\nAnswer: 3038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -87*w. Let g(x) = 1090*x - 5232. Let y(s) = -3*s + 12. Let b(m) = g(m) + 436*y(m). Calculate 5*b(o) - 12*n(o).\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 + (-3 - (5 + -9)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**3 - 3*f**2 - 3. Let c = 7 - 3. Let d(s) be the third derivative of s**6\/20 - s**5\/15 - s**3\/2 - 31*s**2 - 5. Give c*y(b) - 3*d(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 2738243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -i + 3*b, -62*i - 46*b - 420 = -145*i + 86*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3*z + 8 - 3 - 3. Let c(n) = -8*n + 5. What is -2*c(b) + 5*m(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10*((-774375)\/(-30))\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10470 + 10261. Which is the biggest value? (a) l (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 391, 399, 413, 433, 459, 491, 529?\n\"Answer: 3*b**2 - b + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 121*k + 98*k + 309.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j + 5. Let o be k(0). Suppose 0 = 4*r + o*l - 5 - 15, 3*l - 20 = -4*r. Solve 3*d + 3*i = -3, 4*i + 7 - 39 = r*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268364197.\nAnswer: 268364197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1 - 1 - 3*x - x**2. Let y(t) = 8*t**2 + 8*t - 2*t**2 + 2*t + 6*t. Let m(a) = 11*i(a) + 2*y(a). Factor m(s).\nAnswer: s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -227, -319, -457, -647?\n\"Answer: -c**3 - 14*c**2 - 3*c - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -14*r**2 + 39*r + 2*r**2 + 11*r**2 + 4*r**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -17, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79100?\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.73 - -44.73. Which is the nearest to 2\/5? (a) 1 (b) y (c) -2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-30251)\/133848 + (-6)\/(-11) and -61\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/40 - d**5\/5 - 5*d**4\/8 + 2*d**2 + 52*d. Solve i(h) = 0 for h.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let z(w) = 22*w + 56180. What is z(s(k))?\nAnswer: -44*k**2 + 56180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*v + 9 = 1, -5*l - 3*v + 1 = 0. Let u be l\/(-9) + (-8)\/(-198). Let o = 2.1 + -2. What is the third biggest value in o, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 + 27 = 2*l. Let h = -96 + l. Suppose -1 = -q - 2*k + 5, -4*k - 4 = q. What is the highest common factor of q and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1105\/(-104))\/(2\/8) and -13\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0 + 5 - 6 + 2*c**2 - 4*c. Find the first derivative of x(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:44 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 26*v**2 + 7*v - 179. Let t be r(26). Solve -20 = t*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11677413 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 0 in decreasing order.\nAnswer: 11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**5 - 4*r**4 + 1408*r**3 + 454*r**2 - 139*r - 2 wrt r.\nAnswer: 180*r**2 - 96*r + 8448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*h + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 5*g - 47. Let n be f(10). Sort -5, 4, n, -64 in ascending order.\nAnswer: -64, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1186\nAnswer: 237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = 6 - 1662. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 6*d + 5*o = 31, -d = 3*o - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*u + 42 = 0. Let f(y) = 45*y + 65. Let p(z) = -4*z - 6. Let x(m) = u*f(m) + 65*p(m). Let c(j) = 3*j**2. What is c(x(n))?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.078 and -0.153.\nAnswer: -0.011934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19413 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42 (b) 1 (c) -0.5 (d) 0.29 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = -4*x + 390, -3*x = -5*o - 310. Suppose t + 4*t = x. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {r: 2, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18084478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -4 (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - o = -2*q + 8, 0 = 3*q + 2*o + 2. Suppose -5*z - 3*n - 1 = n, -5*n = 3*z - q. Is 2\/39 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764296 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + (-22)\/(-5)) - 0\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 1 + 8. Suppose m*w - 9 = -3*p, 5*p + 4*w + 0 = 16. Suppose -c = -10 + p. Let k(y) = -y**3 + 5*y**2 + 7*y - 4. What is k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a**3 - 115*a**2 - 190*a - 65 = 0. Calculate a.\nAnswer: -1, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379435237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -4*n - 1, -3*o = -n - 13. Suppose 4*m = -o*l + 185, -4*m = -m - 4*l - 100. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34341 - 23847. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25670531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180910936.\nAnswer: 2, 73, 309779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -41. Let a be (-23)\/(-5) + (-14)\/n. Suppose 5*y - u - 2*u = 20, a*y = -2*u + 20. Put -2, 3, y in ascending order.\nAnswer: -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*j - 508*j + 21268 = 0. Solve 55*p = j*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 1.5. Let q = 5 + -12. Let x = q + z. Which is bigger: -1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/21 - 18146*n**4\/21 + 18179164*n**3\/7 - 53251854884*n**2\/21 - 3132403200022*n\/21 - 7946117182974\/7 = 0.\nAnswer: -47, -9, 3043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105261 and 102388.\nAnswer: 829035636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibntwibiikbnibbkibb. What is prob of picking 1 b, 1 w, and 1 k?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403272?\nAnswer: 2, 13, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25.32, 0.2, -1\/3, 6\/13 in increasing order.\nAnswer: -2, -1\/3, 0.2, 6\/13, 25.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -40 - 2. Let f be (-4)\/14 + (-564)\/s. What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*g*w**3 + 444912*g*w**2 - 709*w**3 - 111833 wrt g.\nAnswer: -20*w**3 + 444912*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3455608 is divided by 66454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6*x)*(x**3 - 1 + 1) + (3*x - x + 3*x)*(2 - 3*x**3 - 3*x**2 + 5*x**2 + 2*x**3).\nAnswer: x**4 + 10*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/12)\/(101\/202). Let y be 4\/(-71)*(-3)\/4. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 60 = 3*o + o, 6*o - 129 = 19*d + 10*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16942 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2846 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/(114\/17024). What is the highest common divisor of 616 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 325965.96 minutes?\nAnswer: 226.36525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.034 - 0.866. Sort 2, l, -0.2, 2\/3 in increasing order.\nAnswer: l, -0.2, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*j - 10*j + 9*j)*(-2*j + 4*j + 0*j)*(-5 + 0 + 3 + (0 + 4 - 3)*(0 + 0 + 1)) to p*j**2 + y*j + n and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4645, 4644, 4643, 4642, 4641?\n\"Answer: -y + 4646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -3761*d + 3766*d. Solve 57 = 25*m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -71. Find v, given that 65*v**h - v**5 + v - 33*v**2 - 34*v**2 + 2*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 2. Let v be l(-4). Let h be 11*2 + v + -3. What are the prime factors of (-2)\/(-1*6\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let k(a) = 3*a**2. Let v(d) = 2*d**2 - 2. Let t(m) = -k(m) - v(m). Calculate 2*j(n) + t(n).\nAnswer: -5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let i(c) = 77*c + 2. Calculate i(f(v)).\nAnswer: 77*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24)*-9)\/((-21)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 1. Let x(a) = 26*a**2 + 2*a + 3. Give 3*w(f) + x(f).\nAnswer: 23*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 22378.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.01249\nAnswer: -0.002498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 77. Suppose -k*n = 1 - 19. Let g be 0 - 0 - (-10 + n + -3). Let s(d) = -d**3 + 6*d**2 + 7*d + 2. What is s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -113. Let u be -2 - k\/((-35)\/10). Solve 0 = -2*b - 4*q + 28, 1 = -b - u*b + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 1642*z - 1. Let x(m) = -m. Give t(x(j)).\nAnswer: 2*j**2 - 1642*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.102302 at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30005*r + 28659*r - 34996 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 2:01 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/24 + 7\/24. What is the smallest value in l, 21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.918? (a) -0.6 (b) 0.3 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 476\/204*(-9)\/6*(-120)\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 2*x + 169. Let h be i(-14). Let b(m) = m**3 + m**2 - 1. Let s(u) = 4*u**3 + 2*u**2 + u - 6. What is h*s(c) - 2*b(c)?\nAnswer: 2*c**3 + c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9 + 235*k + 4 - 473*k - 13 + 234*k. Let q(c) = 2*c. Determine v(q(d)).\nAnswer: -8*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -52291 (c) 4\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98971 - -239720529?\nAnswer: 239621558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2707*w = 2712*w - 14, -d - 2*w = -2 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 1072.\nAnswer: -1072.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128012624100807.07000022 - -128012632276683. Let z = a + -8175876. Let b = z + 0.07. Round b to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-5 + (-8 - -26) - (-11 - -4))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(19))**2 - (sqrt(19)*4)**2*-2 - (-2*(5*(sqrt(931) - sqrt(931)*-2) + sqrt(931)))**2.\nAnswer: -952714 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102572, -205154, -307744, -410342, -512948?\nAnswer: -615562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/60)\/((-7)\/546*13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 7.99, -3\/122, 2 in descending order.\nAnswer: 7.99, 2, 1\/4, -3\/122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6334)\/(-5))\/((-3)\/(315\/(-6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/6*48\/(-40). What is the nearest to 0.1 in 5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126696\/7 - -269613\/14. Let j = 1154 - q. What is the common denominator of (53\/(-10) - -2)\/6 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -631.\nAnswer: -5\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305725153 to the nearest integer?\nAnswer: 17485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -253*n**5\/4 + 347*n**3\/2 - 13*n - 11. What is the second derivative of x(a) wrt a?\nAnswer: -7590*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/(-54) + (-126412)\/(-9126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1285\/3 + 459. Which is smaller: 31 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9068691 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 399353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 22979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602\/136853 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411 = 81*j + 56*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 0 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 52\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -460*v + 395584. What is y(860)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:49 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:47 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 475*(30397\/1695 + -18)?\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 i when four letters picked without replacement from ihjbbibiibjjbb?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -131, -667.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153057047.\nAnswer: 11, 13, 281, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 153*n**2 + 5599*n + 1277. Calculate d(-60).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7839345 years in millennia?\nAnswer: 0.0007839345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.94544 years to millennia.\nAnswer: 0.04994544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-10)\/(-30))\/((-2)\/3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3326512 is divided by 554351.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*u + 23, 5*u + 28 = 2*h - 0*u. Let j be 3\/(-9) - h\/(-3). Suppose -22 = -j*f + 32. Calculate the greatest common divisor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - ((sqrt(98) + 1 - sqrt(98)) + 3 - sqrt(98)) - sqrt(98))) + (-6*sqrt(98)*1 - sqrt(98)))**2.\nAnswer: -392*sqrt(2) + 4818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -837901?\nAnswer: 837905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r + 1. Let q(n) = -1. Let d(s) = -h(s) - 6*q(s). Let p be (-2 + 1)*(-3 + 8). Determine d(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 7824*n**3 + 7596908*n**2 - 107509584*n + 377630162.\nAnswer: 2*(n - 7)**2*(n + 1963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:26 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 156 = 38*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9296.949 milligrams to tonnes.\nAnswer: 0.000009296949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - 4*i**2 + i**2 + (-2*i + 3 - 3)*(2*i - i + 0*i) + (-2*i + 25*i - 4*i)*(0*i - 2*i + 3*i) to z*i + y*i**2 + b and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 + (-2 - -2) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76728*o**3 + 8*o**2 - 3321*o - 1 wrt o.\nAnswer: -460368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k. Let x(i) = -12*i**2 - 25*i**2 + 43*i**2 - 24*i**2. Determine x(r(s)).\nAnswer: -882*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209923 is divided by 1683.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 - 4*u**2 - 1. What is the remainder when f(3) is divided by ((-60)\/(-25))\/((-2)\/(-15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1106 and 35?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-360)\/70)\/(20\/(-42)). Let g = 31 - 20. Which is bigger: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - 13 - -2 - (-4 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 4 + 10 + 2 - 3. Determine o(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five quarters of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-754)\/65 + 5 - -6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 19 = 7. Differentiate 4 + 0*n**3 + n**3 - 3*n**s with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {b: 7, r: 2, l: 1, d: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 0*y + 7 - 2*y)*(0 + 2*y**3 + 0) to the form p*y + g*y**4 + c + n*y**3 + s*y**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*c = 438*c. What is the nearest to 3 in 3\/5, c, -1\/2, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40755450 divided by 3.\nAnswer: 13585150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -5 - (0 + -13 + -148). What is the greatest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -171 + -4?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3099*n**2 + 1032*n**2 - 878*n + 1031*n**2 + 1039*n**2 in the form a + u*n**2 + i*n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - -20. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 5, 841, 3, 4 in ascending order.\nAnswer: -13, -1, 3, 4, 5, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 451354?\nAnswer: 451350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xttttxttttttt.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1073*x - 92281. Determine s(-86).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -209\/3. Which is the second biggest value? (a) q (b) -0.5 (c) -2\/5 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, o: 4}. What is prob of sequence go?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u\/u**(2\/23))\/((u*u\/u**3)\/(u*u*u**(-2\/13)*u)))\/(u*u**(2\/21)*u**(-1\/5))**(-24) assuming u is positive.\nAnswer: u**(201398\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1658842 (base 9) to base 5.\nAnswer: -214100213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 1. Let w(n) = 9*n**3 + 6*n**2 + 3*n - 1. Let y(t) = -4*m(t) - w(t). Is y(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -15*v - 6. Is 27 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65893*v - 2 + 65894*v - 2492*v**2 + 0.\nAnswer: -2492*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*a**3 + 4 + 3653*a**4 + 0*a**2 - 7309*a**4 + a + 33*a**3 - 2*a**2 + 3651*a**4 to the form w*a**3 + p*a + y + q*a**2 + r*a**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, n: 1}. What is prob of sequence pp?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 8*w**2 + 12*w - 9. Let g be v(8). Suppose g = c - 23. Suppose 5 = q - 4*z, 36 - c = -4*q - 2*z. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*(69 + 2 - 15)*(-1 + b + 1).\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57828007 + -5?\nAnswer: 57828002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*z - 38 - 94 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 8) in base 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-68)\/374)\/(476\/42).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 1\/(-1) - 0. Let k = u + -5. Let n = k + -4. Put 0, n, 4 in ascending order.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 3, 864, 5, -2 in descending order.\nAnswer: 864, 6, 5, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 352 and -1.59?\nAnswer: -559.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let p = 38 - 44. Let g(j) = j - 4. Let v(r) = p*y(r) + g(r). Suppose 3*l = -l + 36. Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*(t*t**(5\/4))\/t)**(1\/7) assuming t is positive.\nAnswer: t**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6131607, 24526442, 55184493, 98105754, 153290219?\n\"Answer: -h**3 + 6131614*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163*d**3 + 205?\nAnswer: 489*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x**2 + 22*x + 244?\nAnswer: 8*x + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(77)\/sqrt(252))*-4)\/(sqrt(99) - sqrt(99)*-1*-2 - ((-4*sqrt(99)*-2 - sqrt(99)) + sqrt(99))).\nAnswer: 8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.1 + -636.1. Let a = v - -606.0000394. Round a to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 81 = -8*u. Suppose -5*r + 21 = -3*t, -8*t + u = -r - 3*t. What is the closest to 1\/3 in 5, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.10841 (c) 1\/112 (d) -2\/9 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 420, 426, 432, 438, 444, 450?\n\"Answer: 6*v + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 112320 to the nearest 1000.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1118 + 14*v**2 + 2235 - 1117. Let n(i) = -3*i + 2. Let g(b) = 30*b - 21. Let s(f) = 2*g(f) + 21*n(f). What is l(s(r))?\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -24806735.1 to the nearest 1000.\nAnswer: -24807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/312)\/(2461\/44298)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r + 10. Let v be u(7). Let x = -170 - -1845\/11. What is the common denominator of x and (36\/(-14))\/(v\/9)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*w - 29 = 0, 0 = 2*k + 4*w - 30 - 2. Let v = -33 + k. Let o = -5 - v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*k + 86, -5*o - 4*k = -3*o - 44. Calculate the remainder when 54 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -1239452835076.\nAnswer: -1239452835066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 4*w + 1. Suppose i + k = 4 + 3, 3*i - 17 = -5*k. Let f = -8 + 11. Suppose i = 4*y - f. Give p(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.242 + -0.242. Put -2, k, -0.1, 1\/4 in descending order.\nAnswer: k, 1\/4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*i + 1033 - 1063, 5*j + 28 = -3*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*h - 78*h - 119. Sort -4, -3, h, 2 in ascending order.\nAnswer: -4, -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639 less than 10645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 927?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107880 and 782130.\nAnswer: 3128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -175, 43, -67 in decreasing order.\nAnswer: 43, 2, -67, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00035358792 + 44.00035352792. Let g = 44 - x. Round g to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*2\/2*(-22)\/(-11).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -5\/2*o**2 + 0*o + 1\/3*o**3 - 3. Solve t(f) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 17 - (12\/3 + -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 14*w**5 - 14 + (2*w + w**3 - 2*w)*(2 - 2 + 2*w**2) + (4 - 4 + 2*w)*(53*w**3 - 3*w**4 - 53*w**3).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.5. Let j = 0.23 + -0.23. What is the nearest to j in q, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993603523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1007 or -1.242?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b + 6. Let j be p(6). Let f = -7 - j. Let c(t) be the third derivative of t**6\/120 - t**5\/60 - t**4\/24 - t**3\/6 - 2*t**2. Calculate c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.3 (b) 2 (c) -5\/2 (d) 14\/1913 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15130000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (73\/(-6643))\/(2\/(-14))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2. Let p be o(1). Suppose 5*u - 31 = p. Let z = u - -25. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:29 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**3 - z**2 + z - 1. Let g be c(1). Let a be g - (2 + 0\/4). List the prime factors of (-4)\/(-26) + (-24)\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Suppose -4*a - 38 = -6. Let q(y) = -3. Let i(w) = -w - 8. Let f(n) = a*q(n) + 3*i(n). Calculate f(l(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61355524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*c - c - 9, -4*c = l - 11. Suppose -l*j + 135 = -81. Find the common denominator of 95\/14 and 4*(-61)\/j*-2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -522506114 - 16?\nAnswer: -522506133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(10\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1808, -3669, -5552, -7469, -9432, -11453, -13544, -15717?\n\"Answer: -2*d**3 + d**2 - 1850*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87290 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -145 - (1085 - 1161)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -1\/4, -2\/13, 2, 3, 21, 363?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39649, -39646, -39641, -39634?\nAnswer: -39625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60639 is divided by 270?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (-2 + 4 - 1)*(0 + 2 - 4) + 2 + 3 - 3)*(-278 + 278 - 12*t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -3\/16*c**3 - 2*c + 0 + 0*c**2 - 1\/32*c**4. Factor d(i).\nAnswer: -3*i*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 418 = 2*f, 74 = 3*p + 5*f - 207. Let i(c) = -p*c - 100*c + 310*c - 104*c. Let d(j) = 0*j + 2*j + 0*j. Determine i(d(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:21 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1. Let s(w) = -2*w + 11. Let h(i) = -2*d(i) - s(i). Determine h(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 145*d**2 + 6*d - 1. Let w be s(-1). Solve -w*t = -139*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 298 - 11*j + 50*j + 297 in the form c*j**2 + v*j + s + b*j**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55261 and -462?\nAnswer: -25530582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37522*r*t*u**2 - r*t*u - 2*r - 4*t*u**2 + 395425*u**2 wrt t?\nAnswer: 37522*r*u**2 - r*u - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748 a factor of 552284767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -69. What is the least common multiple of r and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1958017 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 40*k + 27188 = 0. List the prime factors of k.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b + 101*b - 6 = 0. Let a(x) = 2*x**2 + 9*x - 13. Let l be a(b). Solve 4*r = -2*z + 20, -3*r + 2*z = l - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -578 - -610. Let q = 19 + -12. What is the remainder when a is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 5*t + 2. Let z(n) = n**3 - 5*n**2 - n + 4. Let k be z(4). Let m = -10 - k. Let p be u(m). Are p and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528 + 4469 - 1490 - 1851 - 3*l**3.\nAnswer: -3*l**3 - 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 563 - (-12)\/(-30)*10. Suppose 3*p = -6, 3*p - j = -7*s + 2*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j)\/(j**(3\/5)\/j)*(j\/(j**10*j))**(-4\/5) assuming j is positive.\nAnswer: j**(249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - c = -2 - 9, 3*w = 4*c + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*o**2 + 447*o**2 + 191*o**2 - 847*o**2.\nAnswer: 319*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1032 or -8255\/8?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 35*b - 6. Let l(d) be the first derivative of -2*d**3\/3 - 193. What is o(l(k))?\nAnswer: -70*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 2.84 (c) 2\/13 (d) 0.3 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 7*k + 12. Let t(p) = -4*p**2 - 28*p - 2. Let q be t(-7). What is the remainder when s(q) is divided by (-65)\/(-10) + 2\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(108)*-1 + sqrt(108) + sqrt(108)))\/(6*((sqrt(72)*-1)\/sqrt(12) - -2*sqrt(294))))**2.\nAnswer: 288\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 547118228 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -357670 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s\/(s*s\/(s*s*s**(-1\/19)\/s*s)))**(6\/11) assuming s is positive.\nAnswer: s**(1134\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5340 and 990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**8\/4032 - q**7\/336 - q**5\/12 + 19*q**2. Let d(h) be the third derivative of n(h). What is t in d(t) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.7 + 0.4. Let x = -31736826.9000113 + 31736854. Let y = u - x. Round y to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 639 and 44\/5 + 55\/275?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 786 + -1839?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72352, 72319, 72286, 72253, 72220, 72187?\nAnswer: 72154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -41, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11174200 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 9644*b + 613304.\nAnswer: -4*(b - 62)*(b + 2473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 11:41 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2793 divided by 21?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72)*-1)**2 + -6*(0 + sqrt(72)) + sqrt(72) + -3 + (4*(-2 + sqrt(72) + sqrt(72)))**2.\nAnswer: -798*sqrt(2) + 4885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/4 - 0)\/(2\/8). Is 47\/3 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.133, -29, 0, 0.2 in descending order.\nAnswer: 0.2, 0, -7.133, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119739 and 22545.\nAnswer: 5388255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.255268 millennia in years?\nAnswer: 3255.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2)*1\/(-3). Let u(s) = 1 - 3 + 3 - 55*s. Let h be u(r). Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026383872 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 10*g**2 - 26*g - 22. Let l be o(-12). Solve -q - 2*q = 3*c - 15, l*q - 5*c + 25 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316206, 316222, 316250, 316296, 316366, 316466?\nAnswer: 316602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -507338 divided by 2054?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -0.065. Let v = 83.85 - 83.77561. Let x = v + w. What is x rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115250.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20*s = 9*s. Let p = 6 - -5. Let y = p + -15. Sort 3, y, s.\nAnswer: y, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 1. Let i(u) be the first derivative of -3*u**2\/2 + u + 2. Let f be 2\/9 - 166\/18. Let q be (f\/18)\/((-2)\/(-16)). Give q*s(m) - 5*i(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*d**3 - 343*d wrt d.\nAnswer: 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 - (-43)\/((-2795)\/468)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7553181 by -3.\nAnswer: -2517727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 23*p**2 - 51*p - 19. Let z(j) = -j**3 - 5*j**2 + 2*j - 11. Let l be z(-5). What is the hundreds digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 553619679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 124314 (base 7) to base 3\nAnswer: 1011202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-32) + (-15)\/(-6). Which is the fourth biggest value? (a) -0.5 (b) -25 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5648253454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*s + 67*s - 9840. What is the greatest common divisor of s and 2542?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -14 + 11 + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 110*d + 795. Determine g(-6).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -7, -55, -155, -325?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 - 88*f + 164*f - 75*f)*(-1 - 1 + 0) as k*f + x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 124667, 124660, 124653, 124646, 124639?\n\"Answer: -7*o + 124674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -1\/6 (c) -1\/5 (d) 4\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47 - 1.01. Let t = 0.455 + a. Let n = t - 0.215. What is the nearest to 0.1 in -2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 + 2. Let r be z(4). Suppose -n - 270 = -6*n. Suppose -v - 5*g = -n, -4*g - 9 = 2*v - 3*v. Solve i + v = -3*i + 5*m, -10 = -r*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 2, 2\/7, 1, -0.3 in descending order.\nAnswer: 2, 1, 4\/9, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80941?\nAnswer: 7, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/14151925?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 378\/(-24) + (-2)\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17455.\nAnswer: 5, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -5 + (sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2) + 4 + (sqrt(50) + (1*sqrt(50) - sqrt(50)))**2)*2)*3.\nAnswer: -1908 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140*c - 21 = -1125*c - 291 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**3*w + 1059708*f**3 - 5*f**2*w - 537*f*w with respect to w.\nAnswer: 6*f**3 - 5*f**2 - 537*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z - 2. Let n = 7 - 2. Let j(p) = -1 + n*p - 4*p + 2 - 2*p. Let s(q) = 2*j(q) + y(q). What is s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*0.72816\nAnswer: 15.29136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*s + 1177 - 487 = -1468 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/360 - 5*i**4\/144 - i**3\/6 + 13*i**2. Find a, given that d(a) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/31 + 143\/155. Sort 0.4, 2, a, -0.5 in increasing order.\nAnswer: -0.5, 0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 944*h\/7 - 111392\/7.\nAnswer: -2*(h - 236)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18290 * 1602.\nAnswer: 29300580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**6\/40 - m**4\/12 + 27*m**2. Let n(z) = -3*z**3 + z**2 + 3*z. Give 3*c(s) + 2*n(s).\nAnswer: 3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 982*q**3 + 7*q - 7. Let c(d) = 491*d**3 + 3*d - 3. Calculate 7*c(p) - 3*m(p).\nAnswer: 491*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -737\/76 - -56\/19. Let o = 11348 + -181663\/16. What is the common denominator of o and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9428 - 9423. Solve -y*d - 11*q = -12*q + 24, -4*d - 3*q = 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -112, -100, -92, -94, -112, -152, -220?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255322.2 days to minutes.\nAnswer: 367663968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/780 and -4\/49.\nAnswer: 38220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*q = g + 37, 0 = 5*g - 4*q - 84. Suppose 10*s + 85 = 5*s + 4*y, -2*s = -4*y + 34. Let j = g + s. Let x(c) = -c**2 - 1. Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*q - 6*q. Suppose 4*i + q*r = 2*r + 14, 3*i - 15 = -3*r. Suppose i*s = -3*s. Which is the closest to s? (a) -0.1 (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*v - 141*v + 2*k + 2, -3*k = -5*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:27 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-110))\/((-240)\/(-1600))*(-534)\/(-4).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p. Let z = 2 + p. Solve -j - 2 = k, -3*k + 14 = j - z*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20.5. What is the second biggest value in y, -3\/10, 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -5a145?\nAnswer: 5a136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66641 and 2987.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 8, 2, -8, -22, -40?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. Which is the closest to 1? (a) 0 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6014.\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-7)\/d)\/d**(-2\/15))\/((d**2\/d*d*d)\/(d*d*d*d\/d**6*d)) assuming d is positive.\nAnswer: d**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*f**5 - 307*f**2?\nAnswer: 8040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*t**3 + 4785*t**3 + 2242*t**3 - 1238*t**3.\nAnswer: 6234*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1841 > -1841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f*j*u**2 - 2*f*u**2 + 49*f*u + 3*j*u**2 + 3*j*u + 2*j wrt u?\nAnswer: -8*f*j - 4*f + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*g + g + 427 = 0, 2*g = -2. Suppose 0 = 5*r - x + 42. Suppose -w = -3*w + r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1*(sqrt(76) - (sqrt(76) - -2*sqrt(76))) - (-3*(sqrt(76) - (sqrt(76) + 2*sqrt(76))) + sqrt(76)))\/((3*sqrt(100) + sqrt(4))*-3))*5)**2.\nAnswer: 75*sqrt(19)\/8 + 10675\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18168216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/4*(-1426)\/115. What is the second derivative of -w**5 + 2 - 3 - 34*w**2 - 3*w**5 + 38*w - b*w wrt w?\nAnswer: -80*w**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2854272 (base 11) to base 5\nAnswer: -2224113010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/3 - 1792*f**3\/3 - 81104*f**2\/3 + 30030400*f\/3 = 0. Calculate f.\nAnswer: -274, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**4 + 6*h - 2*h**2 + 7*h - 1 + 18*h**3 - 12*h + 7*h**4 to j*h**4 + f*h**3 + s*h + y + k*h**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11713*z - 5851*z - 5730*z)*(-4*z + 4*z + 2*z).\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*r + 2679 = 17*r. Solve -85 = -2*s + r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4766*p + 32373 = 5747*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (14 - 47) + 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 8:35 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 12*r = -4. Let i be 1 + (r\/1 - 0). Suppose -2*w = -3*d + 144, 10*w - 253 = -i*d + 9*w. Which is smaller: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330766.\nAnswer: 2, 165383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22130 - -1114411?\nAnswer: 1142041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 778099?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*q**3 - 332*q**3 - 1893*q + 3788*q - 1893*q.\nAnswer: -691*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 - 30?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(5*s - 76*s + 32*s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5252, -1, 5.\nAnswer: -5252, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1200020022 (base 3) to base 7\nAnswer: 165065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 28*b**2 - 65*b - 153. Calculate h(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 2*v + 4. Let q be z(-4). Suppose 4*o = 104 + q. Suppose -f + 21 = -1. Calculate the highest common divisor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127282 + 0.04522223.\nAnswer: -127281.95477777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10*h = -5*h - 653, -3*n + 671 = -4*h. What is the greatest common factor of 91 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25020393 - -5?\nAnswer: -2502038c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*z + 14, -2217*y + 61 = -2215*y + 3*z for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19542368 divided by 4?\nAnswer: 4885592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (2 + 0)*-4. Let c(s) = -8*s**2 - 13*s - 9. Let d(j) = -j**2 - j - 1. Let i(p) = a*c(p) + 36*d(p). Factor i(n).\nAnswer: -4*n*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-30)*1\/((-2)\/(-65)). Let d = 41 + g. Suppose d - 69 = -3*o. Calculate the smallest common multiple of 14 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaa when three letters picked without replacement from apvfvkfvva.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 105, 232, 443, 738, 1117, 1580, 2127?\n\"Answer: 42*p**2 + p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*p - 35 = -4*r, 3*p - 25 = -r. Let h = r - 2. Is 634\/h - 1\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (-21 + (10 - -24) + 12 + 1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3753210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15995298 and 44.\nAnswer: 31990596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 31 = -2*s + 4*i, -2*s - 2*i + 16 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82508846?\nAnswer: 2, 7, 841927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -232914.37 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -56. Suppose q + 2*m - 222 = 0, -2*m + 485 = f*q - 625. Suppose d + 4*d + 4*l = -q, -2*d = -3*l + 75. Is -43 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 502393.107 to the nearest 1000.\nAnswer: 502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 218657 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 10080705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -o + 3, -18*u = -13*u - 8*o + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216256, 216257, 216258, 216259, 216260?\n\"Answer: b + 216255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 6}. What is prob of picking 4 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268858997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -920422*c*w**2 + 7*c*w + 3197*c wrt w?\nAnswer: -1840844*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*o - 260 = -7*z, 0 = -4*z + o + 338. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 4*k + 5*c, -2*k + 2374*c = 2386*c + 354 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/30, -3, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3079 or 3076?\nAnswer: 3079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*d**3 + 441\/2*d + 661\/6 + 221\/2*d**2.\nAnswer: (d + 1)**2*(d + 661)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01670507 rounded to 4 dps?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704 - 110 = 74*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k + 3\/7*k**2 + 3 + 4\/21*k**3 + 1\/42*k**4. Let d(x) be the first derivative of j(x). Factor d(p).\nAnswer: 2*(p + 1)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23685726*u + 56568458.\nAnswer: -23685726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -246349 and 0.3.\nAnswer: -73904.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 857 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1953, 6724, 14313, 24720, 37945?\nAnswer: 53988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 2*p - p)*(6 - 17 + 0) as s + u*p and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 8*x + 6. Let m(s) = -60 + 76 - s + 0*s. Let y be m(11). Give c(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1\/3, 58, 5, 5\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1524776736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 69*m - 1. Let h(k) = -1084317*k. Calculate h(b(c)).\nAnswer: -74817873*c + 1084317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2528 (base 16) to base 6.\nAnswer: -112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -28*z + 210. Suppose -14*j - 20 = -104. Does 6 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 - 22*m + 74*m + 2 + m**2 - 57*m + 0*m**2 + 3. Let u(f) = -22*f**3 + 4*f**2 - 16*f + 16. What is 16*o(r) - 5*u(r)?\nAnswer: -2*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 1)\/(((-253)\/(-66))\/(-23)). Let q = 5 + -3. Suppose q*o - n = -o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -302*u**3 + 3*u - 4952?\nAnswer: -906*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985056729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11336, -22662, -33990, -45320?\n\"Answer: -y**2 - 11323*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*n**3*v**2 - 260*n**3*v + 15*n*v**2 - 645 wrt n?\nAnswer: 258*n*v**2 - 1560*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*t - 2, -2*t + y - 16 = 6*y. Suppose 0 = -t*h + 5 - 11. Let m = 0.03 + -2.03. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + -112022101?\nAnswer: -112110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 814 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 51*u**2 - 56*u - 208. Let f be d(-52). Solve -24*x + 7 - 127 = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, 2\/15, -3\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -5.2. Let m = 4 - 3. Let h = m + 0. Sort x, -2\/5, h in decreasing order.\nAnswer: h, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1516955, 3033911, 4550867, 6067823, 7584779?\n\"Answer: 1516956*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 7*v - 6*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 430, 1458, 3458, 6754?\n\"Answer: 54*z**3 + 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3660 + -29193\/8. What is the common denominator of (-288)\/63 + ((-20)\/(-8))\/5 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12488 and 27620?\nAnswer: 86229640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 7*h**2 + 7*h + 7. Let w be c(-6). Suppose -4*t + w = -4*x - 3, 0 = -2*x + 3*t - 6. Sort 5, x, -5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 6*k + 4*k + (2*k + 0*k + 0*k)*(-2 + 4 - 4) - 2*k + k + 3*k - 3 - 2*k + 3 + 177*k + 27*k + 221*k.\nAnswer: 416*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 1920?\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b. Let l(h) = -13*h - 1070. Give x(l(k)).\nAnswer: -273*k - 22470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -180. Solve 7 = -2*g - 3*q, 4*g - a*q - 4 = 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.977 + -5.877. Is z < 65\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 9*a + 291. Let s = 25 + a. Let q be 1\/(3\/s - 0). Let y(n) = n**2 + 2*n - 5. What is y(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204532 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*((0 + 2 - 3)*(2 - 1 - 3) + 5 - 3 - 1)*(0 + 2*a + 0 + (4 - 6 + 4)*(3 - 3 + 2*a) + 2*a + 0 + 0 + 6*a + 4*a - 4*a).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)*k**(-6))\/(k*k**1\/k*k*k**(3\/11)*k))**(-5\/6) assuming k is positive.\nAnswer: k**(2240\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 2, s: 1, f: 1, m: 1, g: 1}. What is prob of picking 1 g and 2 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/(y*y**(-2\/15)\/y*y)*(y*y**(-2\/9))**(-25\/4))\/(y\/y**(-3\/8)*y*y*y**(6\/7))**49 assuming y is positive.\nAnswer: y**(-74917\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1 (c) -15688 (d) 6\/11 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -988, -1979, -2970, -3961?\n\"Answer: -991*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68559, 274032, 616429, 1095750, 1711995, 2465164, 3355257?\n\"Answer: 68462*i**2 + 87*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80991 divided by 8999.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 9 - 2\/(4\/6). Suppose -7*l + 5 + 9 = d. What is the derivative of -l*b**3 - 7 + 0 + 10 wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -623 and -100.61.\nAnswer: 62680.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3 = -3, 2*s = 5*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 20 - 145. Let v = o + -11. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -16*t + 12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -15*m**5 + 99*m**4 - 183*m**3 + 45*m**2 + 54*m = 0.\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - q**3 - 5*q**2 - 5*q + 7. What is z(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 9*t**2 - 4*t. Let g be o(6). What is the highest common divisor of g and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 1. Let r be k(5). Let t(x) = x - 4. Let f be t(r). Let h(c) = -3*c - 15. Is h(f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3513 divided by -1?\nAnswer: -3513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10270219 times 15?\nAnswer: -154053285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by -18.\nAnswer: -361\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-8)*(73710\/(-1330) + 42 + 13).\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1532, -0.6, -1239?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 11*a - 4. Suppose -3*f - 32 = f. Let o be j(f). What is the greatest common divisor of 108 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1628 or 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37057 - 36809 = 62*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61578?\nAnswer: 2, 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4\/3 + 12*k**3 - 8*k**2 - 64*k\/3 = 0.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -651 - -655. Let l(r) = 2*r**2 - 7*r + 4. Determine l(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21044 divided by 4\nAnswer: -5261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204412.6t to milligrams.\nAnswer: 204412600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084380.\nAnswer: 2, 5, 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-140)\/(-40))\/(-7))\/((-2)\/(-7))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - t + 0*t)*(0*t + 4*t + 0*t) + (-3 + 5 - 1)*(0*t**2 - 3*t**2 - 2*t**2) to the form x*t**2 + h*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*j + 27*j + 31*j + 28*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((-5)\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -103183.7?\nAnswer: 103179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10*11\/(-11))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = 8*t - 48. Let j(y) = 4*y**3 - 8*y**2 + 8. Let m(a) = -a**3 + a**2. Determine t*m(h) + j(h).\nAnswer: -4*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-18) + 20\/90. Suppose -l + 89 = r*c, 5*c + 4 = -11. Let k = 238 - l. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 4*f + 15. Let t be d(-5). Suppose -6 = 5*h - 4*b - t, 3*b = h - 15. What is the remainder when 28 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17194 - -986311. Let s be g\/33 - 4\/22. Suppose -s + 8837 = -10*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*b = -4*b - 15, -5 = -b. Suppose 3*o = 0, h + i*o + 9 = 4*h. Suppose 4*y - 25 = -5. Solve -y*x - 10 = -h*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 12*l**3 + 105*l**2 - 450*l.\nAnswer: -3*l*(l - 5)**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6944498 by 28.\nAnswer: 3472249\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121879, 243742, 365609, 487480, 609355, 731234, 853117?\n\"Answer: 2*t**2 + 121857*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 3*t - 3*t)*(126*t + 80*t - 214 + 214).\nAnswer: -206*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 103566 - 20778. Suppose 2*o = 5*n + c, -3*o - 6*n + 20697 = -3*n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 + 4*j**2 + 1\/24*j**4 + 0*j**3 + 0*j. Let z(b) = 0*b - 2*b + 5*b. Give z(r(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30055239 is divided by 15027619.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2336.658537 to the nearest 10.\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 4, u: 1, e: 2, p: 12}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7130575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*u**2 + 154*u**2 - 3*u - 76*u**2 - 2)*(-3*u + 0 + 0).\nAnswer: -6*u**3 + 9*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 113*l**2 - 196*l - 7946. Determine h(-57).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -46*b**3 + 2*b**2 - 2. Let z be k(-1). Suppose -28*r = -z*r. Factor 0 - 1\/3*y**5 + r*y**4 + 0*y + 1\/3*y**3 + 0*y**2.\nAnswer: -y**3*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213233212 (base 4) in base 7?\nAnswer: -1245415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, g: 3, u: 4}. What is prob of picking 1 c, 1 u, and 2 g?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from jcnnjijiobiiiiicjbii.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031718 rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1601, -34, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - a - 1. Let s be z(5). Let c = 131\/3 - s. Put c, -0.5, -1\/6 in ascending order.\nAnswer: -0.5, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165424.\nAnswer: 2, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96247 minus -707.339583?\nAnswer: 709.302053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 391 + 736 - 1113.\nAnswer: n + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 40704*t**2 - 103550976*t = 0. Calculate t.\nAnswer: 0, 5088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*m = q + 138*m + 4, q + 3*q + 19 = 23*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110293+-0.99\nAnswer: 110292.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 2 - (-16 - (-3 - 5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 2. Let k(x) = 2*x + 2. Let a(o) = -6*k(o) - 7*p(o). Let f be a(1). Find the first derivative of -3 + 4*t**4 + 5*t**4 + 6 - 3*t**f wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 + 11*w**2 + 2*w - 433. Let t(m) = -12*m**3 + 21*m**2 + 5*m - 864. Let a(z) = -2*t(z) + 5*x(z). What is the first derivative of a(d) wrt d?\nAnswer: -3*d**2 + 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 3. Let l(d) = d + 2. Suppose 3*w + 1 = 10. Let u(m) = w*l(m) + 2*i(m). Let g(c) = -2*c + 3*c + c. Give g(u(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707684.\nAnswer: 2, 176921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/22 - -7*(-6)\/231.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*r**2 - 79 - r**3 - 76849*r + 76835*r + 76 as d*r**3 + p*r + z*r**2 + l and give z.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*i**2 - 21*i + 26*i - 9*i + 4*i in the form d + h*i**2 + q*i and give h.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.62 + -0.12. What is the closest to 2\/3 in r, 2\/15, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45507 or -45512?\nAnswer: -45507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(8\/15 - 14\/(-21))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468742 and 562888.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8)*k*k*k*k*k\/(k*(k**(2\/15)\/k)\/k))**47 assuming k is positive.\nAnswer: k**(-799\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n = -801 + 4169 + 1502 + 2490 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpipiiiviii. Give prob of picking 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + -1.41. Let g = 1.2 + i. Which is the smallest value? (a) g (b) -4\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1062755 + 1062755 + 3592*l as y*l + s and give y.\nAnswer: 3592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6733826 + 6732244 - 28*j - 13466070.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -8. Let w = 71 + -64. Let q(r) = 9*r**2 - 18*r**z + w*r**2. Let n(b) = 11*b. Give n(q(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026344 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(-3*sqrt(225) + sqrt(25)))\/(sqrt(360)\/sqrt(1152)).\nAnswer: -160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*h - 37975 = 0, 151800 = -p + 5*p - 5*h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c**2 - c - 2. Let a(l) = l. Let u(w) = -2*a(w) - v(w). Let d be 0\/(((-1)\/1)\/(11\/22)). Calculate the lowest common multiple of u(d) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/10)\/19)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -653 and -1.04?\nAnswer: 679.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*g - 193*g + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/4 - 3*k + 8. Let c(n) = n - 3. Let g(i) = 4. Let j(y) = -4*c(y) - 3*g(y). Calculate q(j(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4) + (14 + -20 - -7))*960\/504\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n - 39. Let g(a) = -6*a - 26. Calculate 5*c(l) - 8*g(l).\nAnswer: 3*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(42\/140)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 568\/497*7\/2. Suppose 890 = 5*c + 18*d - 19*d, -4*d = r*c - 688. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**3 + 1\/10*z**6 + 0*z + 2\/3*z**4 + 5*z**2 - 1\/105*z**7 + 6 + 1\/2*z**5. Factor f(t).\nAnswer: -2*t*(t - 8)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 0, 515 + 21 = k + 5*n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524 (base 6) to base 10.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 132, 182, 252, 348, 476, 642, 852?\n\"Answer: i**3 + i**2 + 26*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.136 - -0.12. Let f = -135.616 - -136. Let n = f - h. What is the smallest value in 20, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 27. Let p be v(-9). Factor p + 2\/9*c - 2\/9*c**2.\nAnswer: -2*c*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3329616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1039415 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 35*s - 57. Let u be t(2). Let j(k) be the first derivative of k**4 + u - 8\/3*k**3 + 0*k + 2*k**2. Factor j(x).\nAnswer: 4*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225266 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + -4 + sqrt(180)*2*4 + 0)**2*5.\nAnswer: -1920*sqrt(5) + 57680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**4 + 38410*l**3 - 73766405*l**2 = 0.\nAnswer: 0, 3841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 621\/4 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o**2 - 3*o - 2. Suppose 15 = -0*d - 5*d. What is the units digit of l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5)*(2 - -1))\/(9\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 6, m: 1, p: 4}. What is prob of picking 2 o and 1 p?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 1416*s - 1414*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42 and 49\/215955?\nAnswer: 215955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45077702?\nAnswer: 2, 22538851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -672d078 + 1b?\nAnswer: -672d05b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:18 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 6) to base 8\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:38 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 22320 + 22320 + 22348 - 89305 - 10*s**3 + 8*s**3 + 22317.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -106. Suppose -2*y + 40 = 3*x, y + 3*y + c = 2*x. Calculate the smallest common multiple of 22 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 108\/24 - -14?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88366)\/(-1017) - 88 - (-2)\/(48\/20)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 t when three letters picked without replacement from {m: 4, l: 5, x: 2, e: 2, t: 1, i: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722952 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s - 2*s**2 + 3*s**2 - s + 99. Let f be m(0). Let t(o) = -12*o - 277. Let p be t(-24). Calculate the highest common factor of f and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f + 18. Let t be q(-3). Suppose 0 = -3*r + 3*i - t, 6 + 14 = -r + 2*i. What is the units digit of (-3439)\/(-114) + 2\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*q**2 + 8810492*q + 1002465528 with respect to q.\nAnswer: 14*q + 8810492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -22*r**2 - 119*r + 20. Let a(k) = 7*k**2 + 42*k - 7. What is -17*a(v) - 6*t(v)?\nAnswer: 13*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -6 - -6) + 4 - -10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3527 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.2. Let w = h - 0.1. Let z = 135 + -135.2. Which is the nearest to z? (a) w (b) -2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29019?\nAnswer: 3, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76288 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-300)\/(-36) + 2\/(-2). Let h = p - 9. Let t = -1 - -0.9. Sort h, t, -0.08 in ascending order.\nAnswer: h, t, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 10*t**2 + 11*t - 3. Let f be q(-11). Let b = 1 - 1. Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 396600 to the nearest 1000.\nAnswer: 397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 55 = 100 - 3 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 6*m**5\/5 + 8*m**4 + 62*m**3\/3 + 26*m**2 + 16*m + 806. Solve l(q) = 0.\nAnswer: -2, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 + 23*s + 22. Calculate m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:21 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((5\/(-10))\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/(-144) + (-2)\/(12\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71188*d + 185130*d - 62385*d.\nAnswer: 193933*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2804*t*w*x**3 - 28*t*w*x**2 - 47546*t*w*x - t*w + 4*t*x wrt x?\nAnswer: -16824*t*w*x - 56*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + 203*g**2\/4 + 403*g\/4 + 201\/4.\nAnswer: (g + 1)**2*(g + 201)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, d: 14}. Give prob of sequence mdd.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.2 (b) 0.22 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k - 4*k - 15 + 0*k. Suppose 34*d + 8 = 8. Give t(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -1. Let x = 0 - -0.03. Let o = -0.07 - x. Sort q, 0.1, o in descending order.\nAnswer: q, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707070 divided by 210.\nAnswer: 3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)\/(n*n*n**0*n))\/(n*n*(n*n**(1\/6)\/n)\/n*n**5))\/((n**(-1))**(-9)\/(n**(-7)\/(n**(-4\/5)\/n))) assuming n is positive.\nAnswer: n**(-821\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27729\/10 - -2769. Let s = -2071\/4 - -1586\/3. Calculate the common denominator of i and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 193811514 and 193811512 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1, 0.3, 1\/5, 0.5, -209?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 7)*(0*n + 0*n - 3*n) + (2 + 1 - 2)*(-n - 1 + 1).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (3 - 0)*2. What is the second derivative of -14*x + 2*x**5 + j*x - 6*x wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219880706 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 51*u**2 - 27*u + 35. What is y(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 545\/484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2095*l - 724. Let z(f) = 6288*f - 2178. Let k(u) = 16*r(u) - 5*z(u). Differentiate k(t) with respect to t.\nAnswer: 2080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/9 (c) -2.2 (d) 3\/8 (e) 3 (f) -1.1 (g) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36903579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*q**5 + 9255*q**4 - 1284275*q**3 + 79214485*q**2 - 1837374000*q + 364316480 = 0. What is q?\nAnswer: 1\/5, 88, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 + 2*l + 1. Let y(r) = -2*r**3 + 7*r**2 - 5*r - 2. Let o = 350 - 352. Calculate o*y(n) - 5*m(n).\nAnswer: -n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*b**4 - 6*b**4 - 6*b**4 + (b + 3*b - 2*b)*(-2 + 2*b**3 + 2).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -973\/4 - -246. Let r = q - 17\/4. Put r, 1\/3, -2\/19 in decreasing order.\nAnswer: 1\/3, -2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3677 rounded to one decimal place?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/30)\/((-2)\/(-249)). What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 3816137150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130195337 + 0.197.\nAnswer: 130195337.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-3 - (18 + -17) - -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r - r - 2*r. Let x(s) = -58*s - 186. Let j be x(-5). Let i(q) = -j*q + 309*q - 98*q - 101*q. What is i(g(h))?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -21596.\nAnswer: 3\/10798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*n - 6, -3*s + 1316*n + 8 = -s + 1314*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-5))\/((-1)\/(-5)). Suppose -11*x + 4594 = 4451. Let p = d + x. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 24*b**2 + 110*b - 59. What is c(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0352 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 4:32 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77167856 is divided by 220?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + n**2 + 4*n**2)*(6 - 3 + 1 - n**2).\nAnswer: -n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) - (2 - 384\/27). Suppose -18*g + 36246 = -v*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 87, 107, 129, 153, 179?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 15.05. Let q = 12.95 - 12.9. Let o = q - n. Which is the smallest value? (a) 4 (b) o (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.013 + -0.013. Put -3, 7, u in increasing order.\nAnswer: -3, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9368708 is divided by 683.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452732 by 518.\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f + 13*f - 4*f in the form i*f + k and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**2*k**3*n**2 - 338*a**2*k**3*n + a**2*k**2*n**2 - 7*a**2*n**4 - 53*a*k**3*n**4 wrt n.\nAnswer: -168*a**2*n - 1272*a*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-5) - -4 - -2. Suppose -n*r = y - 55, 0 = 5*y + 4*r - 2*r - 185. Does 11 divide 114\/10 - 14\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p**4 - 8*p**2 - 1\/6*p**3 + 0 + 1\/60*p**5 + 0*p. Let y be h(-2). Solve 2*v - 5*a + 0 - 14 = 0, 4*v + 24 = -y*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-5 - (33 - 100)) - (6 + 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.31\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12568, 12151, 11436, 10423, 9112, 7503?\nAnswer: 5596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 25 = -3*o, -30 = -5*o + 3*v - 3. Let r be o - (1 - (-1 - -6)). Let x = -1 + r. Solve -4*h + 0 = b - 2, 3*b + 2*h - x = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/20 - 447\/12. Which is smaller: -36 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + a**2 - 517 + 520 + a**3 - 78*a**2 + 0*a**3 to the form g + t*a**3 + o*a**2 + y*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20976871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 20. Let n be -5 + (20\/(-4) - -6). Let t be d(n). Solve t = 4*z + 12, -4*z - 8 = 3*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvqn when four letters picked without replacement from {v: 10, q: 2, n: 1, j: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 + l + 78197. Let t be d(0). Let a = t - 38197. Round a to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {m: 3, g: 3, p: 1, c: 3, z: 8}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3 + 1. Suppose 2*b + 16 = -4*i, 4*i - 5 = d*b + 19. Let q be (2\/(-10))\/(b\/25). Is q less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:52 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-25))\/(2\/(-15)). Suppose j*m = 3*v + 2*m - 6, -3 = -m. Let u = -3 + v. Solve -2*h = u + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 - -5)) + (-17 - (5 - 44))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3503 + -1387. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 54*k**2)*(-1 + 1 - 2*k) + k - k - k**3 + (2*k**2 - 3*k**2 + 3*k**2)*(-k + k - k) as x*k**3 + m + u*k**2 + w*k and give x.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -45*c + 8*c - 66 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*l - 81, -3*l + 3*q + 0*q + 39 = 0. Suppose -2*s + 10 = 3*o - 35, -3*s = -4*o - 25. Calculate the greatest common divisor of s and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 18*x - 190 - 86, 0 = -9*b + 10*b - 3*x - 47 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 6352243?\nAnswer: 1905672.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719146436.\nAnswer: 2, 679786609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - t**2 - 5*t**2 + 1 - 6*t**3 as i*t + p + d*t**3 + b*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2778273204.\nAnswer: 2, 3, 7, 33074681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 4*l\/3 + 374\/9.\nAnswer: -2*(l - 11)*(l + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52528181.\nAnswer: 17, 101, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/9)\/(-156 - 463485\/(-2970))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302905207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*c - 8*c**2 - 9*c)*(-1 + 2 + 0)*(-4*c + 31*c - 57*c) in the form s*c + i + x*c**2 + h*c**3 and give h.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13321016?\nAnswer: 2, 439, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n)**(-35)\/((n*n**(-5)*n)\/(n**0\/n*n)) assuming n is positive.\nAnswer: n**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/5409518 and -35\/105676.\nAnswer: 313752044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*l + 102*l - 36. Solve 0 = -q + l - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17 + 101*g - 54*g - 51*g wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1 - (-13)\/11). Suppose t - o = -16. Do -5 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/440 and 9\/22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*m + 1, 0*m + f = 2*m - 4. Find the third derivative of -5*h**m + 5*h**3 - 3*h**2 + 2*h**3 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from uuucamuuuma?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1e?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and 51\/25345?\nAnswer: 405520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 180*l - 243. Give d(-92).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/323 + 28915\/7752. Calculate the common denominator of d and 3\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23111, 23124, 23137, 23150?\nAnswer: 23163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, -1\/5, -10\/17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 47030*n. Let v(x) = -x**2 - 4. What is v(l(t))?\nAnswer: -2211820900*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1288\/70 - 19)*10\/8. Which is the biggest value? (a) -0.141 (b) -0.4 (c) 1\/6 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 526 + -342. Let b = 785 + -473. Let n = b - j. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*h = 3 - 23, 3*w - 25 = -5*h. Suppose 2*s - 3 - 9 = w. Suppose 3*q + 4*y = -q + 8, 0 = q - y - s. Solve q*d + 19 - 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-5)\/(-30)*-3)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 16. Let i be o(-5). Let l = 6 - i. What is the second derivative of -2*y**4 - 4*y + 2*y**4 + l*y - 8*y**4 wrt y?\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -0.2, 260, 86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*b - 8 - 32 = 0, 2*l + b + 36 = 0. Find the common denominator of 193\/l - 2\/(-8) and 25\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3 + 4*l**2 + 0 - 4*l + l. Let z = -3 - -4. Let t(g) = -g + 3 + 1 - 7*g**2 + z + 6*g. Give 5*b(i) + 3*t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*q + 216*q - 178*q = -33*q - 36783 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-42)*(-8)\/(-5). Let c = -46 - -365\/8. Sort x, c, -0.2.\nAnswer: c, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from njnjjjj?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 450 = -35*d + 5*i, d + 88 = 2*i. What is the hundreds digit of (-25936)\/12*(5 - d\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-17))\/(((-92)\/(-161))\/((-2)\/91)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 226.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/9)\/(2885\/(-3462))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*k = 26, 3*k + 4 = 2*o + 5. Let n = 28 - 19. Suppose 0 = 2*u + 3*f - n, 3 = -3*u + 5*f + 26. What is the lowest common multiple of o and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6742 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 f when three letters picked without replacement from ikijfijiffii?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 5:19 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/96 and 4580 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - 2*s + 3. Let u be l(2). Let r(p) = -7*p + 3 - 1 + 0*p - 6. Is r(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - w**2 + w**2 + (0*w - w + 2*w)*(0*w + 0*w - 2*w) - 50 - 34*w**2 + 51 + 96*w**2 to p*w**2 + y*w + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, f: 8, d: 4}. What is prob of sequence fw?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12.66 times -0.016\nAnswer: 0.20256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 47 - -9) + 2 - (-161)\/13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtxcytzyz. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k + 2175. Let r be f(0). Is 2176 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.1 (c) 0.06 (d) -0.09 (e) 67.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -93. Sort -0.4, f, 3, -0.3.\nAnswer: f, -0.4, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-814 - 17*i + 814)*(3 - 3 - i**3).\nAnswer: 17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*q**3 + 657*q**3 + 1175*q**3.\nAnswer: 2250*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**7\/56 - u**6\/5 - 39*u**5\/80 - 3*u**4\/8 + 183*u. What is b in p(b) = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h**3 - 3*h**2 + 7*h**3 + 2 + 7*h - 2*h**2. Let l be q(-6). What is the third biggest value in 0, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 10. Let c be (-2 - 10)*4\/f. Is (-1 - 0) + c\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26497658*f**2*h + f**2 - 65*f*h + 3992*f - 4*h wrt f.\nAnswer: -52995316*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2 - (-44)\/40)*-10. Suppose 5*u + 5*m = 30, -u + w*m - 6 = u. Solve u*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*b - 23*b**2 - 37*b + (1 - 1 + 2*b)*(2*b - 1 + 1).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - -0.61. What is the second biggest value in 0, t, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 7. Let v be x(1). Suppose 0 = -4*k - v*k + 208. Suppose -112 = -2*o + 90. What is the remainder when o is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 28 - (2 - 6 - (-2 - -2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267960 and 2545620?\nAnswer: 5091240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -4)**2 - (5 + sqrt(18)).\nAnswer: -35*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.39 - -2.21. Let v = c + 0.35. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.55 * 1\nAnswer: -40.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/257897 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044568 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*a - 47*a + 1652 + 736 = 628 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 86592505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92641847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 8*t + 30. Solve 2*x + 2*u = -3*u - 29, 4*u + t = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 5:43 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31.944*-2.1\nAnswer: 67.0824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.3. Let r = -1.1 - s. Let n = r - -1. Which is the closest to n? (a) 4 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2012715 or -34216164\/17?\nAnswer: -2012715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(825) - (sqrt(33) + -3*sqrt(33)*-2))\/(2*(sqrt(3) + sqrt(3)*-1) - (-2*sqrt(24))\/sqrt(8)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**29\/z*z*z*z**(-21) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -l + 39, 5*l - 66 = -2*i + 142. Suppose 0 = 7*z + 612 - 1151. Suppose -z = -r + l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005218604 a multiple of 5169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*d + 89*d - 2298. Let j = 371 - d. Which is smaller: -34\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3 (c) -0.4 (d) -3.7 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5281517?\nAnswer: 173, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:05 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0*k**5 + 0 + 0*k**3 + 1\/720*k**6 + 0*k**2 + 2*k - 1\/12*k**4. Let w(y) be the third derivative of i(y). Determine w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (4 + 1 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10323*y - 15028. List the prime factors of j(-4).\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/2 + 185469*w**2\/2 - 2865542145*w\/2 - 31543409337\/2 = 0?\nAnswer: -11, 30917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -117. Suppose -h*p = -26*p. Suppose -11*g + 14*g - 264 = p. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - (-208792)\/16)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980810047 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2642\/26449 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 3, k: 4, p: 4, v: 6, f: 1}. Give prob of sequence fo.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 21\/5 (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 525 + -517. Solve f - 3*o = 19, -5*o = 2*f + 9 + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -2 - (15 - (-17 + 23 + -6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n - 60*n + 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50263709 is divided by 651?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*146\/42997*93?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/26*(-4)\/15. What is the closest to -2\/3 in y, 1, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2eed9 - 8?\nAnswer: 2eed1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 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 the lowest common multiple of 405 and 48?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*t - 9 = -187*t. Solve 25 = 4*j - 5*n + 2*n, t*j = 3*n + 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411146?\nAnswer: 2, 3, 11, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/120 - 7*q**5\/60 + q**4\/4 - 2*q**3\/3 - 4*q**2. What is the units digit of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*c = 606*c - 6120 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 1, w: 1, h: 7, v: 2}. Give prob of picking 3 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -2\/17, -1150957 in increasing order.\nAnswer: -1150957, -2\/17, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-6 + -5 - -3 - (-7 - 1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 2. Suppose -5*z + 4 = -21. Let b be q(z). Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*j**2 + 80*j**2 - 80 - 78*j - 18*j**2 - 21*j**2 - 22*j**2.\nAnswer: 2*(j - 40)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a66 (base 15) in base 13?\nAnswer: 816b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 2, 14, 28, 44, 62, 82?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23141 (base 5) to base 9.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 7243?\nAnswer: -7248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 5*t - 64 = 0. Let q be 2337\/(-11400) - ((-9)\/t + 1). Let c = -6\/77 + -16\/77. Sort c, q, 4 in descending order.\nAnswer: 4, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 8*j**2 - 11*j - 2. Calculate q(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 3, o: 1, l: 7, x: 2}. What is prob of sequence llox?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 425388 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/17)\/n**(2\/39)*(n**1*n)**(-23))**(5\/11))**(-2\/93) assuming n is positive.\nAnswer: n**(306100\/678249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*w - 42*w + 79*w + 69*w.\nAnswer: 304*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 9*r + 8. Suppose 3*i = 4*i - 4. Suppose -4*n + i*t - 9 = -n, n = -2*t - 13. Let f be y(n). Let g(w) = w + 6. Determine g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 2*g - 4, 0 = 5*f + 2*g - 23. Let s = -12 - -28. Factor -4*b**f - 3*b**2 + 4 + 0*b**3 - s*b**4 + 15*b**4 + 4*b.\nAnswer: -(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 + 4. List the prime factors of v\/(1 + 2\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -895, -2978, -7039, -13738, -23735?\nAnswer: -37690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-90) + (-43)\/(-9). Suppose 4*v - 87 = -67. Solve -q + 3 + 0 = j, -u = -v*j - 3*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1728))**2.\nAnswer: 144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from enejffcjneenenonefef.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 301, 4 in descending order.\nAnswer: 301, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 510aa?\nAnswer: 510a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 264\/110*110\/(-4). Let v be ((-25)\/(-20))\/((-4)\/(-16)). Calculate the remainder when 63 is divided by 0 - (c\/15)\/(1\/v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 15850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -9, -1 in increasing order.\nAnswer: -9, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2071*r**3 + 1964*r**3 - 10 + 9*r + 10 - 16*r + 7*r.\nAnswer: -107*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f*u**4 + 922*f*u**3 + 15431*f*u + 4*f - 2*u**4 + 2*u**3 + u**2 - 1 wrt u.\nAnswer: -264*f*u + 5532*f - 48*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 183\/2119187 or -1?\nAnswer: 183\/2119187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3*g**5\/160 - g**4\/32 - 8*g + 48. Let p(y) be the first derivative of n(y). Find x such that p(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(99\/(-15) + 6). Suppose -h + 11 = 5*g, -b = 2*g + 5*h + 8. Solve 0 = g*w - 4*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let c(i) = 127*i - 254. Let f be c(2). Let w(r) be the second derivative of 1\/6*r**3 + 47*r + 0*r**2 + f. Give w(q(j)).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {z: 1, g: 5, h: 11}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 113, 4 in increasing order.\nAnswer: -1, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**2 + 3*t**2 - 4*t**3 + 3*t**3 + 0*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*p - 3*q, -5*p + 5*q - 16 = -46. Suppose a - 4*a - 3 = 0. Sort 2, a, p.\nAnswer: a, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 - -28. Let b = 72 + f. Calculate the remainder when 64 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 37 = 5*s, 4*s + 15 = -5*g - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from mgyghhggyghhcgyt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00425788831 to 6 dps.\nAnswer: -0.004258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -211563, -211556, -211545, -211530?\n\"Answer: 2*f**2 + f - 211566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.58 - -0.58. What is the closest to -6 in -2\/11, l, 0, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -225?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -4, 1259?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(39)\/sqrt(3))*6 - (sqrt(208) - (0 + sqrt(208))))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900762 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -5*(-2*(-1*sqrt(320))**2 - (sqrt(320) + sqrt(320) + -1 + 3)**2)).\nAnswer: 1600*sqrt(5) + 48110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53133 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -0.2\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862*u - 14*o + 10 = -1867*u, 4*u + 2*o + 8 = 7*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208 - 208 - 45*v**2)*(-52 - 94*v + 52).\nAnswer: 4230*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 44698.88258 to the nearest 100.\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - (-17 - -48) - 34 - ((0 - -6) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 6. Suppose -3*m + 5 = -o. Suppose 2*i + 36 = m*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 4*z**2 + 6*z + 8 - 1093*z**3 + 0*z**2 + 2*z**2. Let h be -4 + -3 + 3 - 0. Let d be n(h). Round d to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.4105 meters to kilometers.\nAnswer: 0.0724105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3*-1 - 9. Let c = h + 282. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/17)*(w\/w**18*w)\/w)\/(w**(-2\/3)\/(w\/((w**(-13)*w)\/w))) assuming w is positive.\nAnswer: w**(-137\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/5)\/((-72)\/60)*(-48)\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 12, -2*q - 5 + 0 = k. Suppose -5*d = -4*d + 3. Find the common denominator of 73\/22 and q\/d*141\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*t**2 + 3*i*t*w + 333*i*t - 14*i*w**2 + 804*t**2*w**3 - 2*t*w + 2*t wrt w?\nAnswer: -28*i + 4824*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 14*o = 10*o + 144 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**4 - 222083*p**3 - 5778*p**2 - 68*p wrt p.\nAnswer: 96*p - 1332498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 18 = 0. Let j = 3.29244 + -0.29244. What is the nearest to j in -2, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 39*s**2 - 22*s + 40. Let u be k(-19). Suppose -29 = -p + u. What is the greatest common factor of p and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 17*y + 51. Calculate o(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 - 3*w + 10. Let y be o(2). What is the common denominator of 174\/y + (3 - 153\/45) and 31\/26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143020?\nAnswer: 2, 5, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 0*u**3 + 4*u**3 - 2*u**3)*(u + 1 - 1 + (26 - 26 + 32*u)*(-2 - 3 + 6)) to z*u**4 + c + h*u + g*u**3 + y*u**2 and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(68)*1)\/(-1*(sqrt(400) - sqrt(400)*2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 - 76*a**2 - 154*a + 2. What is i(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22105 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, r: 3, q: 2, p: 1, i: 1}. What is prob of picking 1 j and 1 i?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7 - (5\/35 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d9 + 125?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(23 + (-693)\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*w - 2403, 4*w = 3*w - 5*u + 465. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533087705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 <= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*x = -2*c + 15, -c - 2*x + 17 = 0. Let j = c + 7. Let v = -12 + 18. Solve -4*h = -v + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brgjzgy. Give prob of sequence jb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 9. Suppose -2*n + 15 = k*j + n, n = -2*j + 6. Put -2, -5, j in increasing order.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m + 2*m)*(-5 - 5 - 2).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 19*i**3 - 5*i**2 + 5*i. Let v(p) = 68*p - 1827*p**2 + 840*p**2 + 8*p + 911*p**2 + 285*p**3. What is -76*f(m) + 5*v(m)?\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.913 - -8.913. Which is the closest to 0.1? (a) 5 (b) 4 (c) j (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 553 + -1a87?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -108, -149, -174, -177, -152, -93, 6?\n\"Answer: z**3 - z**2 - 55*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1377) - ((sqrt(1377) + 1)*5 + sqrt(1377))))*-1)**2.\nAnswer: 540*sqrt(17) + 34461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -154613.65 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**2 - 64213*a**3 - 4*a**4 - 6*a**6 + 235 + 64213*a**3 wrt a?\nAnswer: -720*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88016 - -172994. Suppose -g + 4116 = o - 12874, 5*g = 2*o + s. Let v be -4 + (6\/(-3) - g). Round v to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(3 - 3 - 2) - 5 + 0 + 6)*(1 - 4 - 6)*(1 + 171*a - 82*a - 86*a).\nAnswer: 81*a + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54934 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 22*l**7\/21 + 4*l**3 - 12*l + 4. Find the second derivative of u(c) wrt c.\nAnswer: 880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 5. Let m be t(-2). Suppose 0 = 11*n - 2*n. Suppose 7 = -m*g + 2*x - 6*x, -5*x - 5 = n. Let y(p) = 3*p**2 + 2*p + 1. Give y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2635420 divided by -658855\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 7 - (1 - 6). Suppose -5397 = -o*x + 348. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*(0 + sqrt(1125)))*-5)**2.\nAnswer: 22500*sqrt(5) + 1013125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 16476*r + 10246665.\nAnswer: 3*(r + 715)*(r + 4777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 - 16 = 0. Suppose 98 = -7*q + 133. Sort 0, q, z.\nAnswer: z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(12\/10*(-1255)\/1004)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 19. Suppose k - 4 = -n, t*k - 2*k + 2*n = 16. Suppose 0 = k*a - 0*a - 196. Is a a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 204.319 and 329806.\nAnswer: 330010.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**5\/15 + x**4\/6 - x**2\/2 - 2. Let l(r) be the second derivative of u(r). Find the second derivative of l(g) wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**2 + 3*w - 33. Let x(q) = 18*q**2 + 7*q - 77. Let l(s) = -7*d(s) + 3*x(s). Let m(y) = -1 + 1 - 3*y. Determine l(m(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6452 and -18407.\nAnswer: -11955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271766641 to the power of 1\/3, to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 82.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 35. Let u(x) = x - 36. Give -5*b(o) + 4*u(o).\nAnswer: -o + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 12)*9\/(-621)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1617049, -3234125, -4851201, -6468277, -8085353, -9702429?\n\"Answer: -1617076*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 20 + 24. Sort 1, 5, b in ascending order.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -62. Let q(w) = -w**3 + 17*w**2 - 31*w + 33. Let h be q(v). Round h to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 658, 1327, 2026, 2767, 3562, 4423?\n\"Answer: 2*i**3 + 3*i**2 + 646*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y - 3*y. Suppose -y*b + 4*a = -104, 3*a + 10 = a. Suppose b = d + 2*d. Solve 3 = -4*t + d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 2 = -z - 2, 5*l - 8*l = -2*z + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 546222358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*l = -71*l + 1235. Let n = l - -297. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {a: 5, q: 7, x: 1}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -909 - -1431. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91492 and 3084?\nAnswer: 274476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21\/5, -2, 4, 8, -4, 5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.61557 and 0.050681616.\nAnswer: 1.666251616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(1 + sqrt(68)) - sqrt(68)))**2*2 - -1*3*(sqrt(1377) + -1)**2*6.\nAnswer: 11772*sqrt(17) + 267300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((620\/1488)\/(8\/(-36)))\/6?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 742*s**2 - 262921*s\/3 - 1080618.\nAnswer: (s - 2339)*(s + 14)*(s + 99)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -548.\nAnswer: -3\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2113382.35999325 + -2113091.36. Let o = 291 - g. What is o rounded to seven dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*m - 14 = 0, -4*u - 5*m = 158 - 148. What is the fourth biggest value in -3, u, 3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 - 3 = 0. Suppose s*d - 5*x - 29 = 0, 0 = -4*d - 5*x - 8. What is the derivative of d*t**2 + 4 + t**2 - 5 - 2*t**2 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Let j(k) = 2. Suppose 0 = 5*h + 24 + 1. Let v(n) = h*j(n) - 2*b(n). Let m(z) = -16*z**2. What is v(m(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 735*q - 4407. Calculate c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -9*s - 82 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*l**2 + l**3 - 5*l**3 + 2*l**3.\nAnswer: -2*l**3 - 78*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 + -0.8. Suppose 9 = 2*k - f + 3, 0 = -4*f. Suppose z - k = 0, -3*z = -4*u - z - 2. What is the third biggest value in 1\/8, u, -0.6, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/35 - (165075\/175)\/(-31).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y + 2. Let s be c(-7). Let p be s\/6*40\/(-12). Let t be (14\/(-10) + 1)*5. Sort -3, t, p in ascending order.\nAnswer: p, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:55 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**4 - 4*s**3 + 3*s**2 + 63*s + 3. Let x(c) = 6*c**4 + 25*c**3 - 20*c**2 - 378*c - 17. Let o(n) = -34*h(n) - 6*x(n). Factor o(a).\nAnswer: -2*a*(a - 3)*(a + 3)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.4 + -22.6. Let a = 1446.89 - 1433. Let s = x + a. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 35. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 2194, 9, -2\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k - 4. List the prime factors of q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2, 264, 1.1997.\nAnswer: 4\/5, 1.1997, 2, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 4*y - 269*y**3 + y.\nAnswer: -269*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2658\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 44, 61, 76, 89, 100?\n\"Answer: -g**2 + 22*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 164.7 and -621.19.\nAnswer: -456.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 5 (c) 0.4 (d) 14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let h = -13.4 - -13.7. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33383 + -0.1.\nAnswer: 33382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/7*((-3567)\/(-116))\/41\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2624 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 918244 + 918238 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14 and -151\/765330.\nAnswer: 5357310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsszizsizzsizz. What is prob of sequence iisi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 9*f = -18. Let d be 20 - (0 + f - (0 - 3)). Solve -4*o + 4*r - r = d, -4*r = -o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -37. Let h(p) = -m*p**2 + 4*p**2 - 6*p - 4*p**2 - 1 - 2*p**2. Let c(a) = -9*a**2 - 13*a - 2. Give 6*c(u) - 13*h(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -2, 156, 460, 958?\n\"Answer: 8*o**3 + o**2 + o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 512383153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2354269.69985 + -2353604. Let c = 666 - i. Let l = c + -0.3. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 5*v, 5*o + 3*v - 4 + 22 = 0. Let f = 13\/4 + o. Find the common denominator of f and (6\/72)\/((-4 - -2)\/(-34)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 719, -1.\nAnswer: -1, 0.01, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*j**3*x + 102*j**3 + 183*j**2 - 1279*j*x**3 wrt x?\nAnswer: -31*j**3 - 3837*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371659293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, 2, 0, -411, -2, -7 in descending order.\nAnswer: 3, 2, 0, -2, -7, -22, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -258540 divided by 51708\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7226155 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51174 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769*z**3 - 5680*z**3 - 3439*z**3 + 969*z**3.\nAnswer: -6381*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**3 - 11*h - 1. Let p(j) = -44*j**3 + 24*j - 4. What is 6*l(z) + p(z)?\nAnswer: -2*z**3 - 42*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*n = 2, -8*v - 4*n = -6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -232.68?\nAnswer: 93.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4837720 by 2418860.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 2*g. Suppose y - 4 - 6 = 2*d, 12 = -g*d + 2*y. Let q(w) = w**2 - 1. Let i(h) = -h**3 - 6*h**2 + 4. What is d*q(k) - i(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14651343 to the nearest integer?\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -23 + 68 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*m + 32, 37 = 5*b - m + 1. Suppose -9 = 4*k - b*k. Does 18 divide 54\/4*8\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*x - 3700199*p**2 + 50897*p*x - 5*p - x wrt p?\nAnswer: 6*x - 7400398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 40. Suppose 4*v + 172 = -4*n, 0*n - p*n + 4 = 0. Let i = -37 - v. Solve i = -0*f + 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127248541244 + -2169?\nAnswer: 127248539075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/5 (b) -1\/10 (c) 86\/109 (d) 1 (e) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 18. Let t be j(10). Suppose -t = -5*s + s. Let p = 3 + 1. Solve 0 = -2*m + s - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 61337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/8*700\/(-15). What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 49*s**2 + 5*s - 3. Let y(p) = 50*p**2 + 8*p - 4. Let h(l) = 3*o(l) - 2*y(l). Let u(i) = i + 6. Let n be u(-7). List the prime factors of h(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d - 0. Let r(u) = -u**3 + 2*u**2 + u + 2. Let p be r(d). What is the third derivative of 2 - 2 + 8*a**2 - 9*a**p - 2*a**2 wrt a?\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 303225 and 12.\nAnswer: 1212900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3)*(2*f**2 + 0*f**2 + 2*f**2) - f**2 + f**2 + f**2 + (1 - 4 + 4)*(f - f + 2*f**2) - 2*f**2 + 4*f**2 - f**2.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44972 is divided by 4451?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11196 - -38215. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c - 19. Let n(a) = -a**2 - 4*a + 5863. Calculate -2*n(g) - 4*z(g).\nAnswer: -2*g**2 - 11650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -3*l**6\/5 - 3*l**3 - 14*l. Find the second derivative of r(f) wrt f.\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = v + 2, 4*y - v + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-12) - (-422)\/(-24) and ((-41)\/6)\/(((-6)\/8)\/(32\/480)).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqggogiqeqcoqiqio. Give prob of picking 2 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.96 - -7.46. Which is the smallest value? (a) r (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292630.\nAnswer: 2, 5, 13, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765.2 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 - 8*z + 16. Let k be h(3). Solve -3*u - f - 11 = 4*f, -3*f = -u + k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + (-54)\/(-45)*10\/3. Let n be 3\/s - 65\/(-25). Find the first derivative of 6*j**2 - 8 + n - 11 + 2*j**2 wrt j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1137\/8557 - -80\/199. Calculate the common denominator of 43\/20 and a.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37208 > -37208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (14 - (13 - -18) - (-9 - -82))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056584 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 - 34130?\nAnswer: -34352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 74*g**3 + 19*g**2 - 113*g + 69. What is the ten thousands digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -36*q**2 + 34*q + 73. Give k(-2).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2368 by -32.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + z - 2. Let w(j) = -j**2 + j + 1. Let t(i) = -3*n(i) - 6*w(i). Let a be t(-3). Solve 3*l + a*l - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78104, -150538, -222972?\nAnswer: -295406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*v - v + 8, 0 = 3*v + 3. Let k(n) = n + 6. Let q be k(w). Sort -2, 3\/7, q in increasing order.\nAnswer: -2, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 13. What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5293792, 10587615, 15881438?\nAnswer: 21175261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -973, 627, 7349, 21755, 46407, 83867, 136697?\n\"Answer: 427*a**3 - a**2 - 1386*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -251, -433, -555, -593, -523, -321?\n\"Answer: 4*x**3 + 6*x**2 - 228*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -929379, -929393, -929419, -929457, -929507, -929569, -929643?\n\"Answer: -6*x**2 + 4*x - 929377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -52*r. Let d(b) = 57*b**2 + 24*b + 24. Let i be 4\/6*7\/((-70)\/75). Let v(n) = -12*n**2 - 5*n - 5. Let c(w) = i*d(w) - 24*v(w). Determine c(g(p)).\nAnswer: 8112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10132*u - 820655. Determine m(81).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let o(g) = 29*g. Determine f(o(c)).\nAnswer: 1682*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 672645679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 18*t**4 + 12*t**2 + 29*t**2 + 27*t**2 - 20*t**2 - 3*t**5 - 27*t - 42*t**3.\nAnswer: -3*(t - 2)*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-562)\/10)\/((17\/(-5))\/(-17)). Let l = n + 285. What is the third smallest value in -22\/5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2\/3*y**2 + 332\/3*y - 326 = 0.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 3*x - 3*x)*(-1 + 2 + 8)*(2 + 1 - 5*x + 5398*x**2 - 5393*x**2) to d + c*x**3 + z*x + r*x**2 and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2365*i**2 - 21288*i + 27 = 0.\nAnswer: 3\/2365, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x + x)*(-1406*x**3 + 6*x + 2 + 1403*x**3 + 4*x) as p + m*x**2 + j*x**3 + l*x**4 + g*x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3650*r. Let s(v) = -2*v**2 - 448. Determine s(k(h)).\nAnswer: -26645000*h**2 - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 26 = -3*g, -3*p = 2*g + 24. Let z = g - -27. What is the highest common divisor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/((-30)\/68))\/(4\/(-12)). Let v = 29 + l. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 16*q**2 + 2*q + 34. Let y be x(-16). Let h be 2*(0 - ((-35)\/y)\/7). Solve -h*k = -50 + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**4 - y**3 + y**2 - y. Let k(z) = 10*z**4 - 5*z**3 + 5*z**2 - 5*z - 14. Let x(o) = -5*h(o) + k(o). Find the first derivative of x(v) wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69587.79mm to micrometers.\nAnswer: 69587790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-23)\/q)\/q)\/(q*q**(10\/11))*((q*q\/(q*q*q**(3\/4)))\/q)\/(q\/q**26) assuming q is positive.\nAnswer: q**(-117\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9 + -3)*0. Let y be (r - -1)\/(5 + 0). Which is the closest to -0.2? (a) 4\/5 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 7}. Give prob of sequence kbk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a79b + -d2?\nAnswer: a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5876002 millilitres in litres?\nAnswer: 0.0005876002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**3 + 4*v**2 - 9*v - 22. Give b(-4).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1041*v**2 + 26*v**3 + 29*v**3 + 3 + 1225*v**2 - 51*v**3 as s*v + b + g*v**2 + r*v**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298 by -460.\nAnswer: -149\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928674363 divided by -374919.\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 20, 9, -22, -79?\n\"Answer: -b**3 - b**2 + 13*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 64540934*j. Let l(c) = 2*c. Calculate l(p(z)).\nAnswer: 129081868*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2805 and 165880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 187.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(w - w**4 - w + (0*w**3 - 4*w**3 + 6*w**3)*(-7 - 6*w + 7)).\nAnswer: -26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 1:28 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -138, -278, -412, -540?\n\"Answer: 3*p**2 - 149*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2288 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 649, 905, 1077, 1135, 1049?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/((o*o**0*o)\/o)*o*o)**(-27) assuming o is positive.\nAnswer: o**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4965*f - 10319*f - 828*f - 7300*f to the form w + a*f and give a.\nAnswer: -13482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -15.93. Let n = -0.93 + z. Let o be (-6)\/14 + (-22)\/14. Which is the closest to n? (a) o (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1572\/133 - 230\/19. What is the nearest to -2 in 4\/13, -0.5, b, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 5*x**3 + 299676*x**4 + 0*x**3 - 47 - 299677*x**4 as n + s*x**2 + j*x**3 + y*x + c*x**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16*t**3 - 27*t**2 - 345*t + 915. Let a(j) = -6*j**3 - 10*j**2 - 128*j + 343. Give 27*a(r) - 10*k(r).\nAnswer: -2*r**3 - 6*r + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:56 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1167810898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -466 - -470. Let p(x) = -x**3 + 6*x**2 + x - 3. Let n be p(6). Suppose 0 = 4*t + 5*q - 20, 0 = 3*t - 0*t - n*q - 15. Put 0, f, t in descending order.\nAnswer: t, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44718627 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: Is 1100 a factor of 1176158615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.048 to one dp.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 390 = 26*h + 44*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a + 9 - 9)*(0 + 0 + 3*a**2) + (-23 + 18*a + 23)*(-a**2 + 0*a**2 + 2*a**2) in the form f*a + r*a**2 + w + s*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 + 3320*c**4 - 2204480*c**3 + 731887360*c**2 - 121493301760*c + 8067155236864.\nAnswer: -2*(c - 332)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27651, -27591, -27531?\nAnswer: -27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 2*q**3 + 0*q**3 + (-q + q + q)*(-20*q**2 + 26*q**2 + 40*q**2) + 4*q**3 - q**3 + q**3.\nAnswer: 49*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 - 3 = 0. Let i be (32\/6)\/(1\/o). Suppose 64 = 4*b - 4*a, -i - 12 = -b + 4*a. Solve 3*c + 0*c + b = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22343\/1017240 + -1\/6920. What is the common denominator of 115\/84 and o?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101010100101110 (base 2) to base 11\nAnswer: 38003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Let m = 39893\/5070 + 16\/507. Let j = m + -32\/5. Is j bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-13)\/((-39)\/(-132))*1)\/(-2) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + v**3 + 0*v**3 + 84*v**2 - 15 - 48*v**2 - 42*v**2 - 5*v. Calculate f(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.49 + -0.17. Let k = -0.08 - d. What is the third biggest value in k, -0.3, 4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d**2 + 6. What is the hundreds digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 48 = -4*m, 3*m - 2*m - 1 = -2*j. Let q(z) = -z**3 + 11*z**2 - 2*z - 9. List the prime factors of q(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z**2 - 72. Let k(d) = -3*d**2 + 16. Let c(v) = -2*b(v) - 9*k(v). Let y(h) = -2044*h. Determine c(y(n)).\nAnswer: -4177936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3671 greater than -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**8\/6720 + o**7\/1260 + o**4\/4 + 5*o**2 + o + 6. Let a(l) be the third derivative of z(l). Factor a(q).\nAnswer: q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 + 170 + 165*v - 81 as m*v + a and give m.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -5 + 27 + -7 + (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915389?\nAnswer: 3, 7, 30403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {b: 1, i: 2, j: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*i - 16 = 0, 4*q = q + 3*i + 6. Let g(w) = -3*w + 6. Determine g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*r - 14*r + 18*r)*(2 - 6 + 2) + 0 + 0 - 3*r.\nAnswer: 89*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 0*q)*(7*q**2 + 7*q**2 - 8*q**2) + (3*q**2 - 3*q**2 + 2*q**2)*(4*q + 2*q - 4*q) to the form j*q + f*q**3 + t + o*q**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2020638032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.5 (b) 48 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 6)*((0 - 2*j + 0)*(4*j - 3*j + j) + 4 + 2*j**2 - 4) in the form b*j**2 + y*j + c and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5325095 times -1.2\nAnswer: 6390114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 3*f**3 + 3*f**3 + 30 - f**3 - 53.\nAnswer: -f**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17983*l**2*p + 104662883*l**2 - 971*l*p wrt p.\nAnswer: -17983*l**2 - 971*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j - 45. Let p(d) = -3*d + 11. Let o(n) = -4*h(n) - 18*p(n). Let l be o(-2). Solve -l*c - 4 + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 63\/6*160\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a = -79*a + 12. Solve -3*t - 11 = -2*b, 7*b = 2*b + a*t + 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 6*j**5 + 3*j**4\/2 + 943*j + 1024. Differentiate k(n) with respect to n.\nAnswer: 120*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + -8 + (1 - (21 - 8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57696 - 7385183\/128. Calculate the common denominator of -35\/1584 and j.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 257*h + 10*h**2 - 263*h + 63*h**3 - 3330 + 2*h**2 - 13*h**2 wrt h.\nAnswer: 189*h**2 - 2*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 28 = 4*n, 5*w - 6 + 36 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53856 and 157144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -240240+-36912\nAnswer: -277152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**3 + 2*c**2 - c - 2. Suppose -2*k - 4*m = -336, 0 = 2*k + 5*m - 234 - 105. Calculate the remainder when k is divided by q(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-433)\/(-92))\/(7\/(-2660)*-5). Let h = 358 - d. Put 1, -2, 3, h in descending order.\nAnswer: 3, 1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 301 = 229 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57716 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7588.9, -43.\nAnswer: -7588.9, -43, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4420 - 24?\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3820?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 54 = 62 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Let f = 166 - 133. Suppose 0*t + t + 3 = -5*k, k - f = -5*t. Sort 0, t, x.\nAnswer: 0, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/4 - 345*j**4\/2 - 399503*j**3\/2 - 38725446*j**2 - 759372867*j\/4 - 452759787\/2 = 0.\nAnswer: -333, -3, -2, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 + 39*z + 14. Let l be k(10). Let b(s) = 3*s**2 - 9*s - 8. Let m be b(l). Solve m = 2*w + 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21424 (b) -8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211201010 (base 3) in base 8?\nAnswer: -106615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 55 = -12*m + 7*m, 0 = -4*y + 5*m - 8 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23052046007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j - 20. Let k be b(10). Let f be 341\/k - (-1)\/10. Let l = 30 + -34. Is f >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18578327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 1:19 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 322249980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 2.05. Let r = -1 - -1. Let s be 0\/(-1*2 - r). Which is the third biggest value? (a) 1\/9 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 6*c - 2*c. List the prime factors of 1\/2*-3*c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 30*z**2 - 3*z - 5. Let i be d(-4). Suppose 485 = 5*l - 5*y, 0 = -5*l - 0*y + 4*y + i. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 189.6 and -11.\nAnswer: 178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 893 and 1368.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14098936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1516346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47431, 94789, 142147, 189505, 236863, 284221?\nAnswer: 331579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*o**2 + 82*o**2 - 2*o - 52*o**2 in the form d*o + c*o**2 + r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -298*((-10)\/6 + 2)*(-867 - -864). Calculate the greatest common divisor of y and 7003.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -132?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430 + -2?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 2:44 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138203 != 1138203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -3\/8 in decreasing order.\nAnswer: -3\/8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35822 rounded to the nearest 100?\nAnswer: -35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 3*g - 4*g)*(2 + 3 - 2)*(0 + g**3 + 0) to f*g + t*g**3 + p + w*g**2 + h*g**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 + 4*m**5 - m**5)*(2 - 4 + 1)*(-4 + 4 + 1)*(0 + 2 + 0).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60.25 - -42. Let q = s - -18. Let f = 0.35 + q. Is 1\/3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/39159 and -79\/1174770.\nAnswer: 1174770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/245 and -31\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 46 + 4)*(2 + 0 + 0)*(12*d**5 + 11*d**5 - 7*d**5).\nAnswer: 1600*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -2*s - w - 0*w, -3*s = 3*w - 549. Let n = -123 + s. Calculate the remainder when n is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 1}. Give prob of picking 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*w - 6 - 7, 4*w = 2*g + 18. What is the lowest common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9222 divided by 106.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*m**6 - 2261*m**4 - 1978286*m**2 - 3*m.\nAnswer: 11880*m**3 - 54264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 137954401, 275908803, 413863205?\n\"Answer: 137954402*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - c**2 + 4*c - 2. Let t(m) = -13*m**3 + 4*m**2 - 17*m + 9. Suppose -4 + 10 = -3*o. What is o*t(x) - 9*j(x)?\nAnswer: -x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 12. Let v(a) = -13*a + 22. Let p(l) = -4*v(l) + 7*y(l). What is p(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*z = 5, 0 = -k - 2*z - 6 - 3. Let h = 0 - k. Suppose 2*p - p - h*c - 30 = 0, 0 = 4*p - c - 25. Solve -f - p = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154 + 176 = -38*k. What is the units digit of 10\/k + 31428\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199, -196, -183, -154, -103, -24, 89?\n\"Answer: b**3 - b**2 - b - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*22\/6*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 324. Suppose -4*q = -q - w. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuqkuaaoaaak. What is prob of picking 1 q and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2003*y**2 - y**3 + 665*y**2 + 661*y**2 + 652*y**2.\nAnswer: -y**3 - 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 4. Let y be s(6). Suppose t = 5*n + 2, -y*n - 26 = -t - 3*t. Suppose -2*p + 5*w + 2 = -t, 4*w = 2*p - 10. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, 12720, -5\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 4042496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*n + 71*n + 482512 = -7*h, 0 = 3*n - 4*h - 723807. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -44.681, -6, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 27 = -5*u + k, -u - 7 = k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*w. Calculate the common denominator of 59\/(-20) + (-3)\/(-12) and 147\/40 - w\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/15 and -31\/115292151.\nAnswer: 576460755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53133 is divided by 597?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 8277 + 6*v**2 + 8277.\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 861904771 to the power of 1\/2, to the nearest integer?\nAnswer: 29358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 253288121 a multiple of 2594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -1 + (1 - -4). Suppose -4*d - b*z = -2355 + 547, 2260 = 5*d - 4*z. Is d\/4*(-1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 45*y\/2 - 217.\nAnswer: -(y - 31)*(y - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.932. Let p = n - 0.432. What is the nearest to -0.1 in p, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403654443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 1, -5 in ascending order.\nAnswer: -84, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = g + 7*x - 10, -50 = -5*g - 5*x. What is the lowest common multiple of 2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -8. Suppose o*m - 4*r = -0*m + 49, 4*r + 34 = 2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.28111 - -16.71829. Let u = -18 + l. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -10. Suppose 2*o - 2*z + 10 = 0, -2*z - q = -3*o + 4*o. Let w(t) = t**3 + 8*t**2 - 14*t - 8. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-15) - (-168)\/35. Suppose -4*l = -5*h - 110, 3*h + 16 = q*l - 63. What are the prime factors of (-2 - 200\/(-12))*h\/(-4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680 divided by -2920?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.255 (b) 2\/7 (c) -3 (d) 14\/101 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.087372 + 41.913128. Let f = -123 + 81. Let t = f + x. Round t to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 14*n - 11*n. Let k(h) = h**2 + 15*h + 9. Let c be k(n). Find the common denominator of -71\/12 and 2 + (c\/(-24))\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -2*(-6*(-2 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + sqrt(1216)*1 + sqrt(1216))*3))))**2*6).\nAnswer: -746496*sqrt(19) + 255312024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from ryrccfpk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p**2 + 9*p + 7. Let m(h) = 9*h**2 - 4*h - 4. Let c(f) = 4*a(f) + 9*m(f). Let r(g) = 4*g**2 - 7. Give -5*c(y) + 6*r(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4260, 3957, 3448, 2727, 1788, 625, -768?\nAnswer: -2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 198, 322, 498, 744, 1078, 1518, 2082?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 10*r + 12. Let u(h) = 7*h**3 + 6*h - 5. Let y = 48 + -26. Calculate the remainder when u(r) is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 5. Let n(i) be the second derivative of i**3\/6 - i. Let h(d) = -b(d) - 2*n(d). List the prime factors of h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2 - 3*a**2 + 16*a + 5*a**2 wrt a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qcqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 127876480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 2*b - 4*b - b. Let j(d) = -80*d**2 + 16. Let x(c) = 16*c**2 - 3. Let s(l) = 3*j(l) + 16*x(l). Give s(p(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 10 = -2*s. Suppose 3*o - 24 = s*o. Suppose 3*x = -3*d + 348, -4*x + 372 = 3*d - 7*x. Calculate the greatest common divisor of o and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o = 5*u - 88*o + 15, 3*u - o + 13 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 47. Solve -w*u - 17 = -3*g, g - 4*u = 8 + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2314)\/(-65))\/((-4)\/(-10)). Find the common denominator of t\/3*(-6)\/(-20) and 59\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -6*d + 4*d, -2*w - 6 = -2*d. Sort 2, -33, d.\nAnswer: -33, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20199329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + g - 78 = 0, -6*i + 153 = -4*i + 3*g. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (-1 - 0)) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 not equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 61. Suppose 4*u - 4 = 8*k - 4*k, 0 = 2*k - 4*u + 8. What is the tens digit of ((-18)\/a)\/(k\/580)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o - 13. Let d(w) = -3*w - 6. Let x(c) = 5*d(c) - 2*k(c). What is the first derivative of x(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946442139 to the power of 1\/3, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 103*u**5\/5 - 6*u**3 - 4*u + 130. What is the third derivative of o(c) wrt c?\nAnswer: 2472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3973 + 3973. Sort d, 4, 3\/22, 5 in decreasing order.\nAnswer: 5, 4, 3\/22, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnrnnrirr. Give prob of sequence ni.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5776 (base 9) to base 12\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1243 (c) -4\/9 (d) 2\/67 (e) -0.5 (f) 19\/6 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18212 and 464?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 265 = -5*m, 4*z + 0*m = 3*m + 210. Let c = -1497 + 1515. Calculate the remainder when z is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034458 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2299) + 1*sqrt(2299) + 1 + 1))**2.\nAnswer: 2200*sqrt(19) + 230000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30566 and 166634.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.21, 1, 4\/75, 4?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let y(w) = -9 - 12*w**2 + 9. Calculate y(s(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + 0\/(-2). Let k(f) = 4*f**2 - 1. What is the smallest common multiple of k(b) and (1 - -1)*(140 - 138)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 61.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*g - 12, 3*d + 0*d - 17 = 4*g. Let i = 0.06 - -0.04. Which is the second smallest value? (a) g (b) i (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:34 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 132079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - k + 1471 = 6800, 3*k = -3*y + 3978. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -23, -32, -47?\n\"Answer: -3*g**2 + 6*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 360*p = 134*p + 1885 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96\/91 + 10\/13. Sort -1\/5, 0, q in descending order.\nAnswer: 0, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4414 + 86. What is z rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2377*s**2 + 4*s**3 + 168*s + 2*s**4 - 2377*s**2 wrt s.\nAnswer: 24*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25452 divided by -54?\nAnswer: -1414\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 32*y**2 - 383*y - 206. Is d(-43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -68. Suppose -3*j - j = -556. Suppose -d + w - 193 = -5*d, 5*w = 3*d - j. What is the greatest common divisor of d and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982079 less than 982080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116471, 116474, 116479, 116486, 116495?\nAnswer: 116506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -92. Solve z - 4 = m*b, 0 = b - 2*z - 0*z + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:58 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2014 + 11320?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862063 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 10) to base 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*h + 13 = 0, -3*l + 5*h + 14 + 5 = 0. Solve 0 = -4*u + l*a - 6 + 23, 0 = -3*u + 5*a + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(98) + sqrt(98) + sqrt(98)*-2 + 2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 925. Let z(f) be the first derivative of -f**2 + 1012. Calculate s(z(j)).\nAnswer: -2*j - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*m*o + 2*j*m*q + 2*j*m - 9*j*o*q - 7*j*o - 116*m*o*q - 3*m*q + m - 2*o wrt q?\nAnswer: 2*j*m - 9*j*o - 116*m*o - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2739 and 5561.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*f + 7*u - 4*u, 0 = 4*u + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + ((-5)\/(-15))\/(-1). What is the nearest to -2 in a, 0.5, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -w. Let f(u) be the third derivative of u**2 - 1\/24*u**w + 0 + 0*u**3 + 0*u. Let x(l) = -3*l. Calculate f(x(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + 1 + -1. Let k = 1708137 - 1708135. Let c = 0 + -1. Sort k, c, u in descending order.\nAnswer: k, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2.49377200065\nAnswer: 0.50622799935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 15. Suppose -2*x + 1 = z. Suppose 3*m + 4*p - 9 + 1 = 0, 5*m + 2*p = -10. Put x, m, -3 in ascending order.\nAnswer: m, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 2*g - i, 3*i - 31 - 6 = -g. Let z = -28 + g. Let l = 21 - z. Solve r - 1 = -l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/100)\/((-3)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009309 rounded to 6 dps?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:57 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((9\/(-21))\/((-2)\/21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-32)*8\/(-76)*-2. What is the smallest value in -2, b, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*2\/15*129\/43?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h*h**(-1)*h*(h**(2\/3)*h)**45)\/((h**(-5\/4)*h**(2\/9))\/(h*h**(-1)\/h)**(-3\/26)) assuming h is positive.\nAnswer: h**(38443\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2891\/4116 + 8\/(-28). Let o(l) be the second derivative of g*l**4 + 0*l**3 + l + 0*l**2 + 0 + 1\/4*l**5. Factor o(m).\nAnswer: 5*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y - 4. Let g be l(-6). Let s be (-2)\/2 + -3 + g. Let c be 38\/9 - s\/(-9). Put c, 1, -3 in descending order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -0.1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -5, -2\/5, -1, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in centuries?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2762980 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g - 246. Let m be z(-42). Calculate the greatest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -252. Let z be (996\/10)\/((-165)\/550). Let g = 345 + z. Calculate the remainder when s is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 - -0.34. Let g = 1.28 - p. Which is the second biggest value? (a) -5\/3 (b) g (c) -1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.23 + -3.1. Let a = -0.3 - -0.37. Let t = a + r. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*z - 3*z + 29 = 0, 17 = 3*b + z. Let i be 2\/3 + (-22)\/6. Sort -2, b, i.\nAnswer: i, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 2*a**2 - 6*a + 16. Let s(b) = 5*b**3 + 3*b**2 + 6*b - 19. Calculate 5*s(z) + 6*v(z).\nAnswer: z**3 + 3*z**2 - 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2 + (6 - 4 - 1)*(0 + 3 - 2) + 58 + 59 - 50)*(14 - 3*t**4 - 14) to the form s*t**2 + i*t**4 + x + n*t**3 + f*t and give i.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 115. What is the remainder when z is divided by (0 - 1 - -1) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**4\/4 - 37*z**3\/3 - 215*z**2\/2 + 200. Find the second derivative of j(w) wrt w.\nAnswer: 18*w - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/13, 4, -1.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*w + 19, -72*a + 76*a = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*f = -f, -h - 2*f - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227719 - 0.158101232.\nAnswer: 227718.841898768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 458600*w + 1650. Let v(h) = -7518*h - 27. Give 18*f(y) + 1100*v(y).\nAnswer: -15000*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 + 37*g\/4 + 1369\/8.\nAnswer: (g + 37)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, y: 2, p: 6, s: 5, z: 1}. What is prob of picking 2 y and 1 j?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 196599693 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 + 1 - 53*z.\nAnswer: -53*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 + 5 = 0. Suppose m - 29 = -d, d - z*d + 54 = 4*m. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -152434156?\nAnswer: 152434151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -62238*f. Let n(u) = -759*u. What is 2*l(k) - 165*n(k)?\nAnswer: 759*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55004 and 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2\/2 + 4*z - 28. What is the lowest common multiple of 4 and p(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -0.1, -0.3, -76879 in descending order.\nAnswer: 9, -0.1, -0.3, -3, -76879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 + -2 - -19. Suppose 5*m - 2 = -3*q - 16, -q + m - l = 0. What is the tens digit of (q\/(-5))\/((-6)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598503 is divided by 31289?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1189*r + 80. Calculate the remainder when k(0) is divided by (-70)\/4*8\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*q = -19 - 1, 0 = 5*d + 4*q - 31. Let u = 98 - 115. Sort d, -4, u.\nAnswer: u, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -3. Let b(q) = -7 - r + 0*q - 2*q. Let s(k) = -2*k - 2. Let n be s(2). Give b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 + 263 = -3*b. Let s = 57 + -235. Let d = s - b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 smaller than -414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18907 divided by -6?\nAnswer: 18907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -21. Let b = -8 + m. What is the third derivative of 2*v**b + 3*v**2 + 4*v**2 - 5*v**2 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m + 15, 5*a = -2*m + 244. Suppose 4*f - 100 = -3*h + 35, f + 4*h - a = 0. Let p be (12\/20)\/(2\/f). Which is greater: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 773.\nAnswer: 771.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 74, 123, 172, 221?\n\"Answer: 49*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*q + 6, 4*s + 23 = 5*q + 66. Suppose s*z = 6490 - 1849. List the prime factors of z.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 9*j**2 + 9. Let k(p) = -3 - 2*p**3 + p**3 + 7 - 2 + 2*p**2. Calculate 2*a(t) - 9*k(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = -5*f + f, -2*f - 3*o = -17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585609.1 litres to millilitres.\nAnswer: 585609100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-11 - 231\/(-22))\/(34\/740)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -5*g**4\/24 - 127*g**2 - 1. Let k(i) = -168*i. What is k(z(l))?\nAnswer: 840*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-11 + (-3 - -2)). Suppose x + 2*n = v, 0 = n - 8 + 4. Let g = 42 - 22. What is the highest common divisor of x and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7 + 8*w**2 - 13*w - 3*w**3 + 3 + 0. Let q(t) = -t**3 + t**2 - 2*t - 1. Let x(h) = -3*c(h) + 12*q(h). Factor x(s).\nAnswer: -3*s*(s - 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, and 1 z when three letters picked without replacement from {q: 4, g: 2, f: 1, z: 1, l: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9*k + 215 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafysywf. What is prob of picking 2 y, 1 s, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -46248286727.\nAnswer: 46248286727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10856?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 17 = x + 9, i = 4*x + 124. Let v be 18\/x - (-46)\/10. Solve 2*u = 6*u, 0 = -3*m + v*u + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - 286\/(-2412). Let m = 1\/134 - n. Let c = -15\/4 - -4. Sort m, 2\/7, c in decreasing order.\nAnswer: 2\/7, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10880661 greater than or equal to 10880661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 44964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 4. Let g(p) = p - 4. Let z be g(9). Let i be a(z). Differentiate 3 - 2*x**3 + 2 - i wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-21)\/(-23) - 3) + (-34)\/(-391).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149286465.\nAnswer: 3, 5, 193, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.218*0.02.\nAnswer: -0.02436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -2\/5, -0.5, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/3 - 22*i**3\/3 - 104*i**2\/3 - 128*i\/3 = 0.\nAnswer: -16, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -625*d**3\/3 + 201800*d**2 + 679812*d + 571536.\nAnswer: -(d - 972)*(25*d + 42)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2711 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -115 + (-2166 - -2269)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.987762km in micrometers?\nAnswer: 5987762000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -4.9 (d) 0.493 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965244 is divided by 6446?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 6, x: 2, z: 4, e: 3, p: 2}. What is prob of sequence pe?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403914950 to the power of 1\/2, to the nearest integer?\nAnswer: 37469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - k - k)*(-12*k + 18*k - 9*k) + (2*k - 3 + 3)*(-k + 2*k - 2*k) in the form i*k**2 + p*k + d and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -18*f - 90. Suppose 0 = 3*p + 5*l, -4*p - 2*l + 0*l - 14 = 0. Let z be n(p). Solve 3*d + 5*a = -4 - z, -4*d = -5*a - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309948 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 2*x**4 - x**4)*(92 + 206 - 127).\nAnswer: 684*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b = 68*b - 8832. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23408 - -23414. Solve 2*c - 12 = y*c - z, 5*c - z = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 54 - 23 - 31. Let u(f) = 7*f. Let p(z) = 8*z. Let x(s) = 5*p(s) - 6*u(s). What is g(x(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(2 - 14 - 8) - 1 + 1 + 2)*(-20*r + 20*r - 5*r**2).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 - 2*v - 5. Let o be i(4). Suppose o*k = 2*m - 256, -254 = 3*k + m - 5*m. Let h = k + 235. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -123, -186, -249, -312?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725214, 1450420, 2175626, 2900832?\nAnswer: 3626038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3.5, 4, 5 in ascending order.\nAnswer: -10, 3.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -5. Let d be 1\/l - 30\/(-9). Let r(s) = -8*s + 64. Let o be r(8). Solve o*j = d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -33*b**3 + 12966*b**2 + 1176*b + 1071. What is z(393)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243739, -487573, -731403, -975229?\nAnswer: -1219051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - -1.49. Let l = -0.25 + j. Are 0.1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1)\/34)\/1)\/((-31)\/(-124)). Let x = -303 + 287. Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((510\/1428)\/((-8)\/(-56)))\/((-2)\/(-20)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2585142 or -1?\nAnswer: 2585142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -10. Is 5\/f*(1 + -47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/(20\/(-48)). Let g(t) = 7*t**2 + t - 17. Let h(r) = 20*r**2 + 2*r - 51. Let q(c) = d*h(c) - 17*g(c). What are the prime factors of q(-9)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 + 0*g**2 + 4 - 2*g**2. Let b(o) = 10*o**2 + 7. Suppose 12*j - 92 = -8. What is j*y(p) - 4*b(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -6968, 6311?\nAnswer: 6311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4367, 4368, 4369, 4370?\n\"Answer: t + 4366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -18512*n + 18513*n + 13, -70 = 5*z - 23*n for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 - 158. Put 2, 28, m, 3 in decreasing order.\nAnswer: 28, 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*y + 5707 + 3059 = 0, -y = 3*c - 8778. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -4\/7 (c) 4 (d) 2 (e) -0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 276462, 1105858, 2488178, 4423422, 6911590, 9952682?\n\"Answer: 276462*k**2 + 10*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 - 3*l**2 + 11*l + 213 - 11*l**2. Let d be g(-10). Solve -2*m - m = 5*p - 6, -d*p - 6 = -3*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1027*m + 1002*m - 525 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:26 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-50))\/((-8)\/5). Let o be 7 - 4 - 17\/5. What is the closest to u in o, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by (3 - 102\/36)*246.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -504343 or -504355?\nAnswer: -504343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*c**2 - 2 + 0)*(3 - 4 + 22).\nAnswer: 42*c**2 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59.60803 milligrams?\nAnswer: 0.05960803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -99) + 0 + -1. Suppose -3*u + 20 = 2*u. Let g be u + -3 + (-19)\/(-1). What is the greatest common divisor of g and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3472 and 22856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218717*l**2 + 35 - 218724*l**2 + 437426*l**2.\nAnswer: -15*l**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109436952*v**2 - 120975623*v.\nAnswer: -218873904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, o: 3, j: 2, t: 4, g: 2}. Give prob of sequence gjov.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -301*k - 3134. Let b be v(-42). What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71346, 71313, 71282, 71253?\n\"Answer: g**2 - 36*g + 71381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q - 537*q - 4874 + 25646 = 1090*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 4, 1\/2 in descending order.\nAnswer: 4, 1\/2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -44603 + 12571. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1595783536 to the nearest integer?\nAnswer: 39947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 759500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - 3*o**2 + 5*o - 1. Let j(y) = 2*y. Let k be j(2). Let b(x) = -k*x**2 + x**3 - x + 5*x**2 - 2*x**3. Give -5*b(p) - d(p).\nAnswer: p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-8) - 3\/(-12). Let r(v) = -v**2 + v + 3*v**2 + 0*v**2 - 1127 + 2*v**2 + 1126. Determine r(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10854 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 2, u: 1}. Give prob of picking 2 n, 1 u, and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -6 (b) 0.2 (c) -2 (d) 14 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*h - 4, 8 = 4*q - 2*q - 4*h. Suppose -q*g - d - d = -134, -61 = -g + 5*d. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-3773)\/198)*(5 + -1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 88, -2540 = 4*j - 5*g - 1254 - 1086 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-14))**(-4\/17)*(w**(8\/7)\/w)\/w*w*((w*w**3*w)\/w)\/w)**(-23) assuming w is positive.\nAnswer: w**(1058\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f + 31 - 2*f - 2*f - 3*f. Let c be r(7). Is -16 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95514845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/6*(-1020)\/(-425). Solve 2*g - 3*k - 8 = 9, -5*g = c*k + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*v + 1 + 244*v - 1 + (-1 + 0 - 3)*(0*v + 2*v - 4*v))*(3 - 3 - 4).\nAnswer: -1848*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*k - 7325 + 7341, c + 4*k + 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255600 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 7 (c) -2059 (d) 10\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:10 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*3545\/225 - (-4)\/18. Let m = -119 + t. Is 5 a factor of 226\/4 - (-60)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 = 423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Suppose 3*y - 12*y = 18. Which is the nearest to l? (a) 0 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -7\/15*h**5 + 5\/2*h**4 + 0*h + 1\/30*h**6 - 19\/2*h**2 + 1 - 6*h**3. Let g(c) be the second derivative of k(c). Factor g(x).\nAnswer: 4*(x - 3)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*y = -2*m + 65, 3*y = 9. What is the remainder when 81 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528530 is divided by 44044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + 0*z + 0*z)*(11*z**2 - 45*z + 45*z)*(-3 + 1 - 2) to r*z**4 + p*z**3 + w*z + k*z**2 + a and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((((sqrt(160) + (sqrt(160) + sqrt(160)*-1 - sqrt(160)) - sqrt(160)) + sqrt(160))\/sqrt(10))\/sqrt(2) + sqrt(16)\/(-3*sqrt(242) + sqrt(2))) + -3)**2.\nAnswer: 9*sqrt(2)\/8 + 1161\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:22 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548 and 5917852?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9131114778 and -1.49.\nAnswer: 9131114776.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14906, -59671, -134272, -238703, -372958, -537031, -730916, -954607?\n\"Answer: z**3 - 14924*z**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5)*w\/(w**(-5)*w)*(w*w**(1\/3))**(1\/43))\/((w\/(w**5\/w)*w\/(w*w*w**(-1)*w*w))\/((w**(-3)*w)\/(w**6\/w))) assuming w is positive.\nAnswer: w**(1165\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from ddwwpb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*1 + sqrt(6)\/(2*sqrt(2)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/4 (b) -4\/5 (c) 2\/13 (d) 3\/8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 757692701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 8.9?\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from fajcaccfajajbsccfcaj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -453 + 450. Let x be (2\/(-8))\/(2\/(-4)). Let d = 0.13 + -2.13. What is the closest to x in 0, d, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*o + 8*b, -2*o + 169*b - 168*b + 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*a - 210*a + 9882. Put -3, 1, 2, a in descending order.\nAnswer: a, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936 plus -2066927099?\nAnswer: -2066924163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2441 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -53 (b) 1\/1616 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75483877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279588?\nAnswer: 2, 3, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -170, -705, -1632, -2981, -4782, -7065, -9860, -13197?\n\"Answer: -5*k**3 - 166*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -190, -14 in decreasing order.\nAnswer: 102, -14, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42434541 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -4542?\nAnswer: -4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/110 and 59\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 - g - 648*g**3 - 307*g**3 + g**4 - g**4 + g**4 as h*g**2 + c*g**3 + w + m*g**4 + l*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(156) + sqrt(156)*-4)*6)\/(sqrt(12) + sqrt(1728) + sqrt(1728) + (sqrt(1728) + -3*sqrt(1728) + sqrt(1728) - sqrt(1728)) + sqrt(1728))*1*-4)**2.\nAnswer: 82944\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -63*m + 60*m, 3*t = 3*m - 36. Let x be (-17)\/(-100) + (-1)\/4. Which is the fourth biggest value? (a) m (b) x (c) 5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17986 divided by -529?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, i: 2, r: 1, a: 3, z: 5}. What is prob of picking 1 z and 2 i?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3132 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75902 is divided by 6880.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 18. Let g be (-5)\/(-6) - h\/12. What is the nearest to 2\/3 in 1, g, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*u - 170261 = -173447 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2059724.2192 - 87.\nAnswer: 2059637.2192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, j: 2}. Give prob of picking 2 j and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.0118?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 - ((-2)\/1)\/(-1). Let v = 104 + -96. Let g(x) = 6*x - 23. Let a be g(v). Does a = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 93951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 220?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - o - 11 = 0, 5*m - m = 5*o - 40. Let x(z) = -z - 2. Give x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - (-3)\/6. Let a = -139.71 + 1.71. Let z = -143 - a. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*l - 8*g - 1085, -5*g + 1121 = 3*l. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4)*28\/35. What is the remainder when -18*(-1 + y\/(-6)) is divided by (-6)\/(-20) + ((-12194)\/(-140))\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*t + 63 = 67, 0 = 2*f + 5*t - 39. Factor -24\/7 + 54\/7*m + 51\/7*m**f + 9\/7*m**3.\nAnswer: 3*(m + 2)*(m + 4)*(3*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17320 <= 25793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1819*s - 557*s + 118 - 16119*s - 118.\nAnswer: -14857*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34979, 69892, 104735, 139508, 174211, 208844, 243407?\n\"Answer: -35*k**2 + 35018*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, 2\/9, -0.3, 2294.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14) + 24\/42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30374, 1, 2, 7, 3 in ascending order.\nAnswer: -30374, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 (base 7) in base 2?\nAnswer: 111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + 27*a + 3 = -4*l + 48*a + 23, -5*l + 2*a - 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2668)\/(-29)*(-8)\/28*4\/((-80)\/35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.437, -5, -2\/11?\nAnswer: 0.437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -406 + -1?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5550 and 1776.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2, -6, 5, 10083?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 9) in base 11?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 126*f**2 - 1056*f + 216. Let h be t(-53). Suppose -5*a - 8 = z, 4*a - 2 + 15 = -3*z. Sort 0, z, 2, h.\nAnswer: z, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1292 by 2.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n = 119 + 374 + 122 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3159, -6366, -9573, -12780, -15987, -19194?\nAnswer: -22401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 - 2379 = -607*o + 238 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**27)\/v))\/v**13)**(-50) assuming v is positive.\nAnswer: v**1950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20621766 and 4686765.\nAnswer: 103108830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5082)*3)\/(sqrt(6) - -2*(sqrt(6) + (sqrt(18)\/sqrt(3) - sqrt(6))) - sqrt(6)) + (6*-1*sqrt(1792))**2 + 5.\nAnswer: 33*sqrt(7)\/2 + 64517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6154261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 + 3*j - 3. Let a(n) = -6*n**2 - 2*n + 3. Determine 2*a(g) + 3*b(g).\nAnswer: 6*g**2 + 5*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/344 and -85\/64.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k + 1. Let g(t) be the second derivative of 2*t**3 + t**2 + 11*t. Let s be (-868)\/(-112) + (-2)\/(-8)*1. What is s*x(y) - 5*g(y)?\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 + 2*i + 2. Let r be c(-2). Suppose 8*h = 7*h - r. Let k = 35 + h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155995 and 11.\nAnswer: 1715945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11020.31 and 0.2?\nAnswer: 2204.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398271384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {s: 4, i: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1611287*i*z - 908890*i wrt z.\nAnswer: 1611287*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27628?\nAnswer: 2, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-21)\/2 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36 - 1\/(54\/69)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 94. Let p(n) = -8*n**2 + 10*n - 1. Let x(s) = -7*s**2 + 10*s - 2. Let v(q) = 6*p(q) - 7*x(q). Determine v(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**3*p**3 - 60*m**3 + 32*m**2*p**2 - 3*m**2*p + 1001*m*p**4 - 9*m*p**2 - 3*m*p - 648*p**4 wrt p?\nAnswer: 24*m**3 + 24024*m*p - 15552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 13*r - 2*q + 8249, q + 4956 = 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 25*t**2. Let v(l) be the third derivative of -19*l**5\/60 - 279*l**2. Calculate v(d(h)).\nAnswer: -11875*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -25 + (-3 + 0 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17. Let r(q) = -q - 34. Let n(m) = 5*c(m) - 3*r(m). Let b be n(-7). What is the units digit of 15 + (b - 6\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.865*1491.1\nAnswer: -1289.8015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*b + 6*b. Let a be b + (-6)\/5*(-5)\/2. Find the second derivative of 19*q + 177*q**a - 177*q**2 + 10*q**5 wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -8. Suppose -a = -2*u - 4. Solve -u = -o - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v + 10. Let j be u(7). Let y = 15 + j. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -3 + (170 - 1). Let j = -269 - -271. Suppose 4*k - j*y + l = 7*k, -5*k + 276 = 2*y. Calculate the greatest common factor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:31 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -142 - -133 - 122\/(-14). Let q = -39\/70 + 5\/14. What is the nearest to -0.2 in -6\/13, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdiefezdiefdkf. Give prob of sequence ezid.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 156. Let t be g(0). Solve 54*f - t = 80*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1035*b**2 - 593*b**2 - 700*b**2 in the form a*b**2 + u*b + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196\/145 - 13\/29. Let f = 2 + t. Solve 0 - f*h**2 - 1\/5*h = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1462256 and 15104?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, -3, 5, 2162 in ascending order.\nAnswer: -4, -3, -2, 0, 5, 2162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169983 - 169980. Factor 0 + 8\/3*g**2 + 14\/3*g**d - 2\/3*g**5 + 0*g + 4\/3*g**4.\nAnswer: -2*g**2*(g - 4)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1273039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 117 = 2*b - 95, 3*o + 324 = 3*b. Let c(q) = 98 + q**3 - b + 6*q**2 + 0*q**3 - 8*q. Calculate c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 4*w**2 - 1\/3*w**3 - w + 2. List the prime factors of f(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2 - (-9)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 15. Let d be 16\/(-2)*(-4)\/k. Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.3, 2\/5, 3, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 713 + -1604. Let m = 568 + f. What are the prime factors of (4 + 0 - m)\/3?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320914336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -250*b**4 + 675*b**3 - 90*b**2 - 460*b - 120 = 0.\nAnswer: -2\/5, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8588.381 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111099 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6718.5 - 6708. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.4.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/4 - 61*w**3\/4 - 2259*w**2\/2 + 1174*w + 2288 = 0.\nAnswer: -44, -1, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 5*x - 6 - 10 + 4*x - 314*x**2 to the form j*x**2 + c + r*x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 - 6*j - 7. Let y(b) = 1 + 2*b**2 + 2*b + 0*b**2 + 2*b. Let o be (((-7)\/7)\/1)\/(1\/3). Let l be y(o). Give c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7264 + 202248.\nAnswer: 202249.7264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 12. Suppose 3828 = 4*y + x*p, 3*p - 1731 = -2*y + 187. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2)\/sqrt(11))\/(sqrt(3) - 1*sqrt(12))*-1 - (-1*-6*(sqrt(32) + sqrt(2)) + -2*(sqrt(50) - (-1 + sqrt(50))))**2.\nAnswer: -1804 + 122*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u**2 + 3710*u - 3729. What is g(-266)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (21 + -14 + 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 0.5, -3, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -306 in decreasing order.\nAnswer: 7, 5, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 4*f - 4*l, f + 2*l = -2. What is the hundreds digit of f\/(-8) + 19318\/104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 2, z: 1}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9781 + (1 - (1 + 3)). Suppose 8*p + 5*w - 48980 = 3*p, -r = -p + 5*w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -13, 6, 29?\n\"Answer: 2*p**2 + 9*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 56. Give i(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176 and 3060?\nAnswer: 299880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 - 52.65. Let t = -90 - x. Let u = 40 + t. What is the second biggest value in u, -1\/6, 2\/7, -3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 451 - 446.33. Let v = 0.33 + d. What is the third biggest value in -2, -0.6, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + (-52)\/16. Let f be 2 - 12*x\/(-6). Let y = f + 2. Is -2\/7 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.2 + 2.8. Let m = 11 - c. What is the second biggest value in m, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.63 (b) -1\/9 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1124479*d**6 - 1114025*d**2 wrt d.\nAnswer: -134937480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 17. Let x = 0.9 + 3.6. Let l = x + -4. Which is the closest to 1? (a) 0.6 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + 134*o - 134*o + 5*o**2. Let l(w) be the third derivative of w**5\/60 - 12*w**2. Calculate l(q(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 2, w: 1, u: 1, g: 1}. Give prob of sequence gmb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**7\/14 + 3*n**6\/2 + 177*n**5\/20 + 97*n**4\/4 + 36*n**3 + 30*n**2 - 6*n + 17. Suppose c(i) = 0. What is i?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485874 = -20*s + 219729 - 247743. List the prime factors of s.\nAnswer: 3, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8533 + 2.8533. What is the closest to 2 in 3\/32, 1\/4, -0.1, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*a + 55, w + 4*a - 22 = 6. What is the remainder when 197 is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (22 - 9) + -23 + 39?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - 1\/1. Let d(f) = 39*f**2 + 514*f + 86. Let q be d(-13). Sort x, 2, q, 0 in ascending order.\nAnswer: q, x, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 302*y + 2212*y**2 + 283*y - 585*y - 23619*y**2 in the form u*y**2 + z*y + l and give u.\nAnswer: -21407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 1. Let b(x) = -3*x - 1. Let h(q) = 4*b(q) - 5*n(q). Let i(j) be the first derivative of 3 - 3\/2*j**2 + 2*j. Determine -4*h(k) + 3*i(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/30 + -5\/6. Let o be (7395\/119)\/15 + -4. What is the third smallest value in o, 1, -2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:06 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:24 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - j + 7 + 0*j)*(-234 + 234 - 841*j) to the form c + y*j + s*j**2 and give y.\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emn when three letters picked without replacement from amxnmenaneeamaanank?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(4\/8). Let c be (16\/(-80))\/((-1)\/5)*1. Put -1, k, 2, c in decreasing order.\nAnswer: 2, c, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1)\/(6 - 5). Suppose 5*p = -s*p + 55. What is the lowest common multiple of (6\/10)\/((-6*(-10)\/(-300))\/(-1)) and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2\/2 + 42*g = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 minus -1167?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9365467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 93248085.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8037 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + m + 312 = 127, 2*m - 147 = -3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*i + 883*i = -21 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 7*i**2 + 10*i + 7. What is u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150684175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + 5*g**4\/12 + g**3\/6 - 3*g**2\/2 - 4*g. Let m = 3 - -15. What is the least common multiple of m and o(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23043 and 14371151?\nAnswer: 7681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 minus -1881536148?\nAnswer: 1881535970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/52932 and -53\/132.\nAnswer: 52932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3683 - -3682. Are a and 56\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42049 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 21*j - 196 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99662285 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198.0264 - -198. Let g = 2572.6246 + -2573. Let j = r - g. What is j rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/13247400 and 1\/4415800.\nAnswer: 13247400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960 by 6.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t + 11. Let p be o(13). Suppose -5*s + 733 - p = 0. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 5*l. Let k(g) = -g**2 + g. Suppose 2*h + 0*h + x = -3, -5*x - 25 = 0. Give h*i(t) + 5*k(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981151, 1962303, 2943455, 3924607?\nAnswer: 4905759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18696 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 c(j) = 2*j**2 - 8*j + 6. Let x = -3902 + 3897. Let k(q) = -q**2 - q + 1. Determine x*k(h) + c(h).\nAnswer: 7*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47876325 to the nearest integer?\nAnswer: 6919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47771, -61388, -75005?\nAnswer: -88622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + 7*l**5\/60 - l**4\/8 + l**3\/6 - l**2. Let q = 8 + -2. Is p(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(2\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 7) in base 6?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3038708 - 1?\nAnswer: 3038707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37805 is divided by 117?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 258 - 99 = 0. What are the prime factors of g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 2816 = -3*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 7*i - i**2 + 2*i**2 - 140*i**3 + 68*i**3 + 91*i**3.\nAnswer: 19*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: c2a081 (base 16) to base 7\nAnswer: 213262542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1024 + 1021. Let r = -2 - -2. Suppose -5*m - 20 = 2*j, 4*m - 5*j + 17 - 1 = r. Sort y, m, -0.3 in descending order.\nAnswer: -0.3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*8\/((-48)\/117). Find the third derivative of 148*q**6 - 117*q**6 + 90*q**2 - j*q**2 wrt q.\nAnswer: 3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -36\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*n - 7, 4*b - 9*n = -10*n + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/225, 0.25, -20, 3\/20, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3) + -9 + 2 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1522481035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1040 + 1008 + (66 - 1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {v: 4, o: 5, u: 7}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 - 4*d - 2. Suppose -5*x - 183 = -3*q, q - 48 = x + 15. Let y be (-10)\/3*q\/55. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + 2*q - 3*q)*(-4 + 0 + 6) - 2*q - q + 0*q + 5 - 5 + 7*q)*(-14 + 20 - 19).\nAnswer: -104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 12. Find the common denominator of (-1)\/h + 142\/84 and 275\/12 - (-2)\/8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**3 - 2*p**2 - 2*p + 1 - 7*p**4 + 2*p + 13*p**3 to s*p**3 + q + c*p**2 + j*p**4 + d*p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0 + 0)*(2460 - 1236 - 1218 - 383*w**3).\nAnswer: 1149*w**4 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 32*o - 1. Let f(g) = g - 5. Let a be f(6). Is n(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 28. Let s(p) = -p**3 - 3*p**2 + 3*p + 10. What is the remainder when 55 is divided by s(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369 or -1061941?\nAnswer: -1061941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 2*c + 11. Let d(m) = 4*m**2 + 4*m - 8. Let w(g) = 9*g**2 + 9*g - 17. Let q(f) = -14*d(f) + 6*w(f). Let k(v) = 6*p(v) - 7*q(v). Factor k(y).\nAnswer: 2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 6*j - 3. Let n be c(7). Suppose 0 = -n*s + 8 + 8. Solve -2*z + s*z = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.939273l?\nAnswer: 939.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1045637.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.78 + 5.78. What is the biggest value in j, 1\/5, -0.34?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.4 (c) 1\/6 (d) -2\/7 (e) -34 (f) 2 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -460*i**2 - 476*i - 283 - 621*i - 60 - 4*i**3 + 189*i - 109.\nAnswer: -4*(i + 1)**2*(i + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 - 24\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39966 and 10.81?\nAnswer: 432032.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008033004 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/((-35)\/(-525)). What is the highest common factor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1039, -4159, -9359, -16639?\n\"Answer: -1040*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 208 in descending order.\nAnswer: 208, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.14 in 2\/9, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(270)\/sqrt(6))\/sqrt(9)*3 + ((-1 + 2*sqrt(180) + sqrt(180))*-2)**2.\nAnswer: -156*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 37050548*c**3 + 114395283625380*c**2 - 117733681187320663100*c + 235466904793803229000.\nAnswer: 4*(c - 3087545)**3*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4\/3 + 6*f**3 - 13*f**2\/3 - 6*f + 8\/3 = 0. Calculate f.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 5, y: 1, t: 8, k: 5}. What is prob of picking 1 o and 1 t?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915981552.\nAnswer: 2, 3, 31, 449, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 5, a: 5}. Give prob of sequence axx.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -428.18468 to one dp.\nAnswer: -428.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -25\/9 in decreasing order.\nAnswer: -0.4, -2, -25\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 785 and 248280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {g: 5, a: 8, h: 2, o: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11))**(-12\/7)\/(((w*w**(-1\/4))\/w)\/w**(-3)) assuming w is positive.\nAnswer: w**(-943\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 113\/417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 - 32*p**4 + 60*p**3 + 440*p**2 - 1136*p + 672 = 0?\nAnswer: -7, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - t + 65 = 0, 0 = -2*n + 4*t - 8. Let p = -9 - n. Suppose 21 = -2*r - p*o, 4*o + 15 = 2*r - 9. Solve s + s = r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014280 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: What is 204 minutes before 10:34 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and -109\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.421504cm in millimeters?\nAnswer: 74.21504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 84. Suppose 0 = m + 4, -1 = 2*p - s*m - 35. What is the greatest common factor of 77 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/81 in -2, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (11 - 6)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - q - 12*q**3 - 3*q**3 + 18*q**3 - 4*q**2 as m*q + l + n*q**3 + w*q**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from bzzzzbzzz.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + p. Let o be a(-1). Suppose -o*b + 21 = -15. Let w(i) = 689*i + 4876. What is the remainder when w(-7) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260242.\nAnswer: 2, 130121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 848\/28 + 2\/(-7). Suppose -3*d = -m - 51. What is the units digit of (-6)\/21 + d\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*p**4 + 180*p**3 - 104*p**2 - 144*p - 32 = 0. What is p?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*l + 3613 = 3655, -54 = -5*l + 2*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxvxvvxxvv. Give prob of picking 3 x and 1 v.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 20*m**2 + m**2 - 20*m + 43*m.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 286 = -19*c - 6. Solve c*w = 2*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/44 and 21\/2288.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 2495*z + 14*z**3 + 2495*z + (-4*z**2 + 9*z + 7*z**2 - 4*z**2)*(-2*z + 1 - 1).\nAnswer: 16*z**3 - 18*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 + 3*k + 8. Let t = -12099 + 12109. Calculate the smallest common multiple of g(-6) and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -1\/2, 4, 0.411, -58?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217\/129 + -2\/129. Let h = -0.75 + -0.25. Which is the nearest to h? (a) t (b) -0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 153640432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -353 - -357. Suppose -2*h + 18 = -b*l, -h = -0*l - 5*l - 15. Sort l, 10, 2 in descending order.\nAnswer: 10, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -77. Solve -l = -3*c - 2*q, -c - c + 7 = -q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g - 66 = 0. What is the lowest common multiple of g and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40016 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/3 + 568*m**4 + 393772*m**3\/3 + 13087264*m**2\/3 + 34061830*m + 231908600\/3 = 0?\nAnswer: -407, -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1505*9.\nAnswer: -13545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 44*s - 3400. Calculate the remainder when 431 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2235*l - 1506*l + 2746*l.\nAnswer: 3475*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849675050?\nAnswer: 2, 5, 5351, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119 = -147*q - 384 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 33. What is the second derivative of 0*z - z - 8*z**3 + a*z wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189 - -188.5. Let g(n) = -n**3 + 5*n**2 + 5. Let q be g(5). Let d be (-34)\/(-8) - q\/20. Which is the closest to 0.1? (a) d (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22ed1 (base 15) in base 4?\nAnswer: -123023302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 1068 = 7*h + 30*h + 972 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10044 by -6.\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 6. Let q be k(-4). Suppose -q*w + a + 2*a + 52 = 0, -a = 2*w - 60. Let g = w - 16. Calculate the remainder when 22 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.473, -0.1913, -2, -31?\nAnswer: 0.473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 2. Let j be f(4). Let k(w) = 17*w - 2. Let p be k(j). Suppose 3*d + p = 7*d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 71. Let y(k) be the first derivative of 5\/2*k**2 + 4 + i*k + 0*k**3 + 1\/4*k**4. Find the second derivative of y(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 8*m - 5. Put m, 0, 9, 5 in increasing order.\nAnswer: m, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 1, n: 1, s: 1, r: 2, d: 2}. Give prob of sequence dbnb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1. Let n be (2*-3)\/((-12)\/(-8)). Calculate the remainder when 67 is divided by q(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -2.8. Let y = -4 - -2. Let q = 1 - y. Which is the second biggest value? (a) p (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 7*f**2 + f + 10. Suppose 0 = 1357*l - 1364*l - 49. Let b be t(l). Solve b*k + 3 = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -4346661?\nAnswer: 434666.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 233733.\nAnswer: 10\/77911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.0406497\nAnswer: -0.0406497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 324, 503, 700, 921, 1172, 1459, 1788?\nAnswer: 2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40765461887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0*w - w)*(-2*w - w + w) - 3*w + 3*w + w**2 + w**2 + w**2 - 4*w**2 - w + 2191968*w**2 - w - 2188329*w**2 in the form x + o*w + y*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/223808 and 19\/4432?\nAnswer: 61994816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/160 + 23*g**4\/96 - 5*g**3\/2 - 9*g**2 + 34*g. Solve s(y) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 55914*g + 167740\/3.\nAnswer: 2*(g - 83870)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36 and 72.17171651.\nAnswer: 36.17171651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3050 + 52126 = 11*y. Let n = y + -280883\/56. Calculate the common denominator of n and 151\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 144*p**3 - 2199*p**2 - 8874*p + 27744 = 0.\nAnswer: -17, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((1 - -3) + -3). List the prime factors of (d - 309)*(-51)\/68.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1644 = 4*l, 2*l - 3*m = 30 + 788. Suppose -2*b + 220 = 2*a, -5*b + l = 2*a - 153. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:26 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -5.\nAnswer: -22, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6044 (base 11) in base 8?\nAnswer: -17542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a + 0*a - 3*a + 18*a**2 - 17*a**2 in the form y + l*a + p*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:04 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.057 (c) 1\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259 - 558. Let y be d\/39 - ((-8)\/(-6) - 1). Let n(l) = -l**3 - 6*l**2 + 8*l - 16. What is the remainder when n(y) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11261, -45051, -101353, -180155, -281445, -405211, -551441?\n\"Answer: 2*f**3 - 11268*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10908 and -37\/303.\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h. Let g be b(-2). Let m be (-24)\/252 - 2\/g*2. What is the closest to -1 in -3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19169 + 19153. Let p = -0.09 + 0.29. Which is the biggest value? (a) t (b) p (c) -1\/12 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-69)\/(-1) - (-15 - -17). Let v = b - 38. Let z = v - 50. Put z, -2, 5 in decreasing order.\nAnswer: 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5184870 divided by -15\nAnswer: 345658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2519, 5014, 7501, 9980?\nAnswer: 12451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 2185237.\nAnswer: -2185237.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 5, 11, 9, -7, -43, -105?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -120, -212, -278, -282, -188, 40?\n\"Answer: 6*j**3 - 41*j**2 - j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(1584)*-1 + sqrt(1584) + sqrt(1584) + sqrt(1584) + (sqrt(1584) - -1*(-1*sqrt(1584) - sqrt(1584))) + -5 + 1))**2.\nAnswer: -288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let i(z) = 287599165*z**2. What is w(i(r))?\nAnswer: 575198330*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25236*v - 252393. Determine b(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 - -0.203. Let g = q - -0.28. Let j = -0.0476 + g. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/80)\/(18\/4). Let z = -77 + 313\/4. What is the nearest to f in 4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:33 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*k - 13*d*q**3*s + 6*k*q**3*s - k*q**3 - 4*k*q*s + 11*k*q + 2*k + 2*q**3*s - q**2*s wrt q?\nAnswer: -78*d*s + 36*k*s - 6*k + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6637*w + 6635*w = -q + 6, 345*w + 24 = 340*w + 4*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -38*t - 1. Let b be m(-1). Suppose v = -4*n + 50 - 8, v - b = -3*n. Let z = v - 2. Solve 4*l - z = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 75*t**2 + 71*t**2 - 3*t**3 - t**3 as h*t**3 + k + j*t**2 + f*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 57 + 85 = 64 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**4*l)*l*l**(8\/3))**(4\/11)*l\/(l*l**(-1\/4))*l**4\/l*l**4*(l**(-7)\/l)\/l assuming l is positive.\nAnswer: l**(-247\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 20. Let r(b) = 1. Let q(y) = c(y) + 20*r(y). Let t(g) = -2*g**2. Give q(t(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 5, 38.5383?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 + 260. Let h = -1 - -0.8. What is the nearest to h in z, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n**3 + 2*n**2 + 5*n + 101. Let k(r) = -12*r**3 + 2*r**2 + 6*r + 103. Let i(h) = 5*k(h) - 6*x(h). Find the third derivative of i(s) wrt s.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 14*r**2 + r - 17. Let g be z(14). What is the tens digit of g\/21 + 282\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -918*f**2 - 7*f - 97. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15238322, 60953283, 137144882, 243813119?\n\"Answer: 15238319*a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 20, -2*w - 21 = -5*h. Suppose -2*l - 8*t + 1250 = -3*t, w*t = -2*l + 1244. Is l a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074.2 plus 21?\nAnswer: 1095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/2 - 4)*-2. Let k(i) be the second derivative of -2\/3*i**3 - 6*i + 1\/12*i**4 + 0 - 1\/2*i**2. Calculate k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3\/2*g**3 + 3\/2*g + 1\/4*g**2 - 1\/4*g**4 + 0 = 0?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 3*f**3 + 2190*f**2 - 2155*f**2 - f + f**3 + f in the form a*f**4 + s*f**2 + h + k*f**3 + q*f and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqoeqsqsoqeosqqq. Give prob of picking 1 o, 2 s, and 1 q.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6)**(-47) assuming z is positive.\nAnswer: z**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -389 + 805*n + 389 + 4*n + 0*n - 2*n + (2 - 2 - n)*(-1 - 1 + 3) + n + n - 4*n in the form h*n + l and give h.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 2*2\/(-4). Suppose -m + 2700 = -2*q, -5*m + 5*q = x*q - 13507. Suppose 5*d = m + 8298. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*9\/(-12))\/((-5268)\/14048)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -6.97. Let x = 11221 + -11221.029954. Let i = x - a. What is i rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 12:27 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 6*j**2 + 4*j + 18. Let k be g(4). Sort 6, k, -5 in ascending order.\nAnswer: k, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1280\/(-240))\/((-9)\/((-135)\/(-110))).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 - 31*q + 12*q**2 - 14*q**2 + 15*q to z*q + t*q**3 + m*q**4 + s*q**2 + i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1093 and 64?\nAnswer: 69952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 67.\nAnswer: -40\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttfdttftdtvdfftvfd. Give prob of sequence vfvt.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346527604?\nAnswer: 2, 86631901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 9*x - 3. Let i(v) = -5*v**2 + 25*v - 8. What is 4*i(k) - 11*s(k)?\nAnswer: 2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -66. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54390 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/10 + s**3\/3 - 3*s - 55. Let h(b) = b**3 - 3*b. Calculate -2*h(l) - 3*r(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 17*p**2 + 21*p - 17. What is j(16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7835483.\nAnswer: 7835483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 900?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94128818*t + 188257618*t - 94128810*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5 - 13, 7*c - 3*c = -j + 9 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21301*c - 8458. Is p(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501.134843 rounded to 1 dp?\nAnswer: -3501.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127813 is divided by 171.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 3*t**2 + 3*t - 1. Calculate m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 32*h - 55. Calculate s(31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s*s**(1\/3)))**50)**43)**(-1\/66))**(-1\/44) assuming s is positive.\nAnswer: s**(1075\/2178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695548*j*m**2 + 2*j + 10*m**2 + 8162*m - 732 wrt m?\nAnswer: -1391096*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267414 minus 0.2?\nAnswer: 2267413.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -1, 6, -5 in ascending order.\nAnswer: -6, -5, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-21)*(-4 - 27\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) 6 (c) -1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 32. Find the second derivative of i*h**3 + h - 12*h**3 + 2*h - h**4 + 8*h wrt h.\nAnswer: -12*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*a - 37 + 43, -5*a + 10 = 3*k. Let d(b) = b**3 - b**2 + 1. Let h(t) = -t**3 - 3*t**2 + 2. Calculate a*d(o) - h(o).\nAnswer: 3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321.1 - -321.036. What is the nearest to -0.2 in z, -2\/5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4479807.\nAnswer: 3, 131, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20 + -3 + (-186)\/(-60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 82*r**2 - 62*r + 133. Determine m(-40).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 + -203.2\nAnswer: -203.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/3, 5.75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 24*q = -7110. Suppose n + 2*b + 38 = 2*n, -q = -5*n + 2*b. Suppose -2*a + 155 = 3*a. Is n greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -168*o**3 + 4*o**2 + 5*o - 38. Let j(w) = 169*w**3 - 3*w**2 - 4*w + 37. Let u(s) = 4*j(s) + 3*l(s). Find the second derivative of u(y) wrt y.\nAnswer: 1032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.02 - 10.2. Let z = -0.04 + r. Round z to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 346?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1122 + -712. Suppose -11*n + 2*u = -14*n - 26, -4*n - 63 = -3*u. Is 2*n\/(-8) + i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.85 - -12. Let n = -1.55 + f. What is n rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q**3 - 17*q**2 - 11*q. Let t(a) = 7*a**3 + 6*a**2 + 4*a. Give -4*o(i) - 11*t(i).\nAnswer: 3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n + 1. Suppose n*z = 4 + 20. Let a = 13 + -8. Solve z = -a*c + 37 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 16, 1, -26 in ascending order.\nAnswer: -26, -1, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12667.13 rounded to the nearest ten?\nAnswer: 12670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*t. Let q be (t\/(6\/4))\/(-2). Is q != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1044)\/435*(-260)\/24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 4374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -1, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r. Suppose 0 = -3*w - n + 2*n + 8, -n - 2 = -w. Give g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0 - 1 + t**2 - 5*t + 4*t + t**3 + 0*t**2. Let z(l) = -15*l**3 - 10*l**2 + 25*l. Let v(r) = -10*f(r) - z(r). Find y such that v(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*s - 171*s - 79410003 = -3*h, -h = -3*s - 26470003. What is h rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*x, -4*x - 32 = -5*g - 0*x. Let r(a) = -a**3 - 5*a**2 + 4*a - 11. What is the lowest common multiple of r(-6) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 times -3.379?\nAnswer: 287.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2042 - -3430. Let x = 786 + -792. Does 21 divide x\/33 + k\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220295897?\nAnswer: 220295897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5642 + -1?\nAnswer: -5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2043051 to four dps.\nAnswer: -0.2043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*a**3*q*w - 74*a**3*w - 3*a**3 - 2*a**2*q - 73*a*w - 16*q wrt a?\nAnswer: -420*q*w - 444*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 23. Let v be f(0). Calculate the greatest common factor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 5. Let r(x) be the first derivative of -126 - 10*x**2 - 8*x**2 - 9*x**2 + 24*x**2. Give t(r(c)).\nAnswer: 12*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 13 = l, -d + 5*l + 182 - 155 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -1, -1010 in increasing order.\nAnswer: -1010, -84, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3 + 3*p**2\/2 + 1296*p + 2. Let g(v) be the third derivative of -v**4\/24 + 3*v**3\/2 + v**2. Let o be g(7). Give r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j**3 + j + 1. Let n(r) = -r - 4. Let w be (-2 - 0)*6\/4. Let l be n(w). Let z be u(l). Solve h = -g + 3 - 6, 5*g + 4*h = -z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2432\/637 or -3?\nAnswer: -2432\/637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -60. Let d = 0.2 + -0.3. Let p(w) = 2*w + 2. Let m be p(-2). Which is the smallest value? (a) g (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13159.968 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 1746031992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, -u + 2*j = -u + 4*u - 86212. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 852539946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/28 + 4\/((-84)\/(-15)). Let t(m) = 5*m**3 - m**2 - 2*m + 2. What is the remainder when 1\/2*7*2 is divided by t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3529.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 3. Let q(v) = 4*v + 12. Let i(o) = 3*m(o) + q(o). Let h(r) = 4*r**3 - r**2 - r + 1. Let f be h(1). Suppose -z - f = 2. Determine i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**5\/5 + 11997*k**4\/5 + 15555*k**3 + 95679*k**2\/5 + 5979*k = 0. Calculate k.\nAnswer: -1993, -5, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1039795*h**3 - 519885*h**3 - 519901*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:56 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*z**2 - 21*v*z + 297*v - 2963*z**2 - 3 with respect to v.\nAnswer: 2*z**2 - 21*z + 297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -62*a**3\/3 + a - 2. Let i be p(1). Let s = i - -204. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77671.\nAnswer: 11, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204039 and 916?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 13*u - 13. Let o be (-1581 + 1582)\/((1\/16)\/(-1)). What is h(o)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4. Let v be 1 + (-2 - 1)\/z. Does 4 divide 9 + 3*v\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54440134.\nAnswer: 2, 7, 29, 134089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18224 + -1121?\nAnswer: -20345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 1.43. Let p = 1.2 - o. What is the biggest value in p, -3\/8, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1294160 or 1294159?\nAnswer: 1294159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*b + 227*b + 224*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042693238 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 10*r - 6. Let f be d(-13). What is the first derivative of -f*l - 80 + 24 + 250*l wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:37 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 3*d**5 + 2*d + 10*d**5 + (3 - 6 + 2)*(0*d**5 - d**5 - d**5) + 0*d**5 + 4*d**5 - 2*d**5 + 30*d**5 + 31*d**5 + 18*d**5.\nAnswer: 90*d**5 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -59 (b) 3\/2 (c) 1\/6 (d) 10\/3 (e) -2\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4*(3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a**3 - a**2 + a - 1. Let p be y(1). Suppose -p = m - 5*b, 3 = -3*m + 3*b - 0*b. Suppose -n + m*n = 960. What is n rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092580464 rounded to four dps?\nAnswer: 0.0926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -8*h**2 + 0*h + 0 - 1\/24*h**5 + 0*h**3 + 1\/4*h**4 - 1\/360*h**6. Let r(z) be the second derivative of s(z). Determine r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6228 (b) -2 (c) 1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.13, 7, -4\/9, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 - 6*n - 12. Determine v(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 6:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-2)*2*-2*11\/22\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00645 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 2. Let c = 0.05 + 0.35. Let a = u + c. Is a less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -5*j**6\/18 - 2*j**5\/3 + 5*j**4\/6 + 20*j**3\/9 - 5*j**2\/6 - 10*j\/3 + 10. Suppose x(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -5*s**3\/3 + 7*s**2\/2 - 6*s - 31. Let f(l) = -4*l**2 + 6*l - 6. Calculate -7*f(k) + 6*t(k).\nAnswer: -2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = -3*r + o, -3*o = 3*r + 60. Let s(u) = 8*u**2 + 3*u - 6. Let j be s(-3). Let d = j + r. Solve d = -5*h + 2*p, p + p = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113360 (base 11) in base 3?\nAnswer: 100011001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4391 * -52.\nAnswer: -228332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-729)\/21 - (-153)\/(43911\/(-82))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524312, 1048616, 1572920, 2097224, 2621528?\nAnswer: 3145832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120653 < 120653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**5\/11 - 30*j**3\/11 + 24*j\/11 = 0. What is j?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05910018688 rounded to six decimal places?\nAnswer: -0.0591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2090 and 13\/244500.\nAnswer: 51100500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22d48 (base 16) in base 5?\nAnswer: 14031124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(880))\/(sqrt(396) + sqrt(396)*-2))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from ieemmi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 137?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-5 - -3). Let y(g) = -g**m - 3*g**2 + 2 + 2*g - 2*g - g. List the prime factors of y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*s, 3*z - s = 2*s + 513. What is the greatest common divisor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4462157719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 909280*l + 206697529600.\nAnswer: (l - 454640)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**3*j**3 + 1646*g**3*j**2*n**2 + 206*g*j**2*n**2 + 4*g*j**2*n + 23*g*n + 6*j**3*n - 2*n**2 wrt g.\nAnswer: -150*g*j**3 + 9876*g*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (21 - 11 - 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z = -12, 3*z - 5 + 2 = -w. Determine p, given that -4*p**2 - 15*p**w + 11*p**2 + 2*p**2 + 5*p**5 + p**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2064.\nAnswer: -1\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 10 - 53 - 7 - 67)*(-25*x**4 + 10*x**4 - 31*x**4) in the form p*x**3 + d*x + c*x**2 + v + o*x**4 and give o.\nAnswer: 5014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 65\/30 + (-5)\/30. Let n be q*((-295)\/10 + -6). Sort 2, n, 5 in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -19. Suppose 0 = m + 3*m - h + 7, 5*m - 4 = -3*h. Let s = j + m. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12581 + 3995. What is n rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*a - 13849988, -r + 0*a + 2770020 = 5*a. What is r rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -8 - (9 - 6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 367*m**2 - 11*m - 10. Is 64 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6839419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 21 = 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -0.1 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5548653 and -6.1793?\nAnswer: 5548659.1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1878+0.12\nAnswer: -1877.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/2, -2\/58495, -3, -2\/5, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388826, 778070, 1167730, 1557800, 1948274, 2339146, 2730410?\nAnswer: 3122060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9892331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 50182.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -904 + 899. Which is the nearest to -2\/3? (a) y (b) 1 (c) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u - 5*a, 2*u + 4*a + 10 = 4*u. Calculate the highest common divisor of u and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005899057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**7\/14 + 17*u**4\/4 + 463*u**3\/6 + 639*u. What is the second derivative of v(h) wrt h?\nAnswer: 60*h**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0568651m to centimeters.\nAnswer: 5.68651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 + 152. Let r(h) = -18*h**4 - 5*h**2 + 5*h + 210. Let a(y) = 27*y**4 + 8*y**2 - 8*y - 315. Let j(d) = k*a(d) - 8*r(d). Differentiate j(z) wrt z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57612208 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 + r - 1. Let b(h) = 3*h**3 + 6*h**2 + 5*h - 3. What is -b(c) + 5*z(c)?\nAnswer: 2*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 + 1138)\/(-1))\/(6\/12). Let g = -567 - f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ffsfsffffss?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 5*o + 7. Suppose -2*p + 1 = -11. Give w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -198. Let c = 106 + m. Calculate the remainder when 127 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:36 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.448008439 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**7\/21 - 2*w**3 + 13*w**2\/2 - 8*w. Let v(c) be the first derivative of o(c). Differentiate v(q) with respect to q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1155 - -1153. Let v be (18\/(-5))\/(204\/40). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*u - 951*u + 30495 - 5609 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 - 12 = 3*c, -3*c - 280 = -67*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((11\/(-429))\/((-5)\/(-15)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelllueeuule. Give prob of sequence lu.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24885 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -89.87952 and -0.1.\nAnswer: -89.97952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-20)*(-280)\/100.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/13*-325*43\/(-1075).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/64954837 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m + 3. Solve m - 9 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 = 0, 5*w + h = 9372 + 10850. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-22)\/(-18))*(188 + 259812\/(-1386))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -2. Let y be (u\/10)\/(1\/(-5)). Suppose 15 = y*n + 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*j + 987 + 13350 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039936778 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27715, 221735, 748377, 1773961, 3464807, 5987235?\nAnswer: 9507565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4781, 4782, 4783, 4784, 4785?\n\"Answer: h + 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4490 + -4475. Are o and 126 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/35)\/((-4)\/14). Let q be (-17 - -15)\/(p\/(-1)). Let i(z) = z**3 - 3*z + 7 - 1 - 3*z**q - 3. Calculate i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226\/5 < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/360 and 91\/20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -10. Let h be (-72)\/(-12) + (2 - 5) + 1. Suppose -3*n = h*f - 92 - 30, -5*n = 5*f - 195. Calculate the remainder when n is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487635 = -449*j - 1542862 for j.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3+74.03435\nAnswer: 77.03435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1639 > 25100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121846*j**3 + 375855.\nAnswer: -365538*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106604 and 4553.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 5, e: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14))**(32\/3))**(3\/26) assuming p is positive.\nAnswer: p**(-224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -330, -657, -984, -1311?\n\"Answer: -327*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1758 (base 13) to base 12\nAnswer: -1bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (3 + -1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4409*s**2 + 27*s + 77. Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = 2*s, 0 = s + t + 59 - 60 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/6)\/((-10)\/25). Put -1, -3, f, 0 in decreasing order.\nAnswer: f, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40273457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 731.307 + -731. Let x = b - 8.307. Let o = 18 + -18. Does o = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 3*r + 21939933. Let y(d) = -4*d. What is o(y(g))?\nAnswer: -32*g**2 - 12*g + 21939933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120438*j**2 - 60258*j**2 - 60195*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -83*h + 664. What is m(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147772746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0*l**3 + 0 + 1\/6*l**4 + 4*l + 1\/2*l**2. Find the first derivative of p(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5399.2 - -5399. What is the second biggest value in -4, 478, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i**5\/5 + 264*i**4\/5 - 676*i**3\/5 - 6976*i**2\/5 + 24498*i\/5 + 728 = 0. Calculate i.\nAnswer: -5, -1\/7, 4, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12559, 12568, 12577?\n\"Answer: 9*b + 12550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxmzzrzm. What is prob of sequence zm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t - 49*t - 4*i + 2 = 0, 0 = 15*t - 2*i + 36 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 70. Find the common denominator of t\/81*(-48)\/20 and (3\/11)\/((-2)\/6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2192158 + -1236861. Let i = 2056297 - n. What is i rounded to the nearest 10000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 41. Suppose -c + b*i + 3 = 0, c + 0*i = -3*i + 13. Suppose c*l = -3*l + 80. Are -1\/3 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 88, 75, 42, -17, -108?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {a: 1, x: 5, m: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 - 6. Let u = -266 + -409. Let m = u - -676.4. Which is the third biggest value? (a) g (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 5565028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2\/7 - 4878*k\/7 + 516000\/7.\nAnswer: 6*(k - 688)*(k - 125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 671 and -946.\nAnswer: -634766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 67 - 23 + 6*y**2 + 6 - 11*y - 4*y**2 - 24. Determine k(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 296505 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.12?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = 3*a. Let i(v) = 2*v - 2*v + v + 5. Let z be i(4). Solve 2*f = z - a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 - 2*d + 4. Does 24 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 37 = 2*q, 5*k = q - 5 + 36. Let c be 3 + q - (-6)\/9*3. Let f be 28*(0 + 6\/8) + c. Solve 4*z = -0*z, -z = -4*g + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132418629.\nAnswer: 3, 7, 43, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = s + 15*s. Let m(q) be the second derivative of 0 - 10*q - 5\/2*q**2 + 1\/3*q**s. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 35*u**2 - 7*u. Let v(q) = -2*q**3 + 12*q**2 + 2*q. Let k(o) = 6*n(o) + 17*v(o). Factor k(s).\nAnswer: 2*s*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*12\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-13)\/(13\/2)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 1 t when three letters picked without replacement from {e: 4, i: 6, a: 3, t: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 0*g**4 + 3*g**4 + ((-9 + 9 - g)*(1 + 2 - 1) + 0*g - 3*g + 4*g + 0*g + 2*g - 3*g)*(-3*g**3 - 6*g**3 + 5*g**3) - 2 + 2 + 2*g**4.\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ad + 10d?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y = 345348 + 1486452. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6816 and 1278.\nAnswer: 20448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 445, 605, 765, 925, 1085, 1245?\n\"Answer: 160*n + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16646 and 2050.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -20714*k + 14292654. Calculate m(690).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1547*o**6\/40 + 103*o**5\/60 + o**4\/12 + o**3\/2 + 70*o**2 + 21. Find the third derivative of m(n) wrt n.\nAnswer: 27846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 2\/5, 2\/63, 0.3?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -450\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Let i = 3 - z. Suppose 15 = b + i. 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: Let g(w) = -7*w**3 - 3*w**2 - 5*w + 9. Suppose q = -2*q - 15. Let z(c) = -4*c**3 - 3*c + 7 - 1 - 2*c**2 + 1 - 2. Calculate q*z(f) + 3*g(f).\nAnswer: -f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-175))\/(29424\/34328).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 1 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -2*m. Let u = 54 + -54.3. What is the nearest to 0.3 in m, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -10 - 6. Which is the third biggest value? (a) o (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93641911 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 21.9.\nAnswer: 13.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065234459398 - -5.3?\nAnswer: 5.365234459398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 6*z + 9*z - 96 = 0, -5*y + 3*z - 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + i - 550 - 548 = 532 - 2206 + 536, 10*n - i + 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0494 + 4.2394. Let h = -4.2 + c. What is the second smallest value in -5, 1\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103664 + 2103862 = 3*j for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - 2 - (5 + -1). Let h = 59 - k. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 26*a**2. Let n(f) = 19*f. Determine n(h(w)).\nAnswer: 494*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 2*i**2 - 3*i**2 + 4*i**2 - i**2 - i**2 + (-1 - 2*i + 1)*(-2*i + 3 - 3) - 64 - 1055*i**2 - 1079*i**2 + 2083*i**2.\nAnswer: -47*i**2 - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + 14 + -3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/9 - 2542*k**2 + 21812266*k\/3 - 65413922\/9 = 0. What is k?\nAnswer: 1, 5719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 25*g**2 - 21*g - 486. Let a be c(-25). Solve -3*m = 4*u + a, -2*m = -5*m + 2*u - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Suppose -3*m + 2*t = -26, 16 + 25 = 5*m - t. Solve -m = r*d + 4*j, -2*d + d + 2*j = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-75)*-45*(-3)\/(-7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let h(z) be the third derivative of 13*z**5\/60 - z**2. Determine i(h(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 11. Let o be z(-6). Let c be 1\/(-4) + 9\/4. Suppose -2*g - 12 = 4*r, -c*r = -g + r + 19. Solve -2*a - o*p - 4 = 0, 0*a + g*a = 5*p - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -3, 35 in decreasing order.\nAnswer: 35, 12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241395 = 5*p + 5*x, -2*p - 428*x = -429*x - 96564. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 518\nAnswer: -517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2128441244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(7 + 4 + 3)*(-4*a**3 + 5*a**3 + a**3 + 4*a - a**3 - 4*a + (a - a - 2*a**2)*(-a - 4 + 4))*(a**2 - 9 + 9).\nAnswer: -42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10995538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 51. Let y be h(7). What is the second derivative of -37*r**2 - 27*r + 51*r - y*r wrt r?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(2 - 4) + 1434\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 39*x**2 - 9*x - 47. Let r be l(-39). Let m = 389 - r. What are the prime factors of m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -3*y**2 + 2*y - 2. Let f = 31 - 24. Let s(o) = 11*o - 3. Give f*a(r) + 4*s(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15506 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-642)\/16 - 3\/(-24). Let b = 45 + s. Suppose 3*d = 1 - 4, 4*d = b*i - 364. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -34. Which is greater: 1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v**3\/6 - 1021*v**2\/3 - 45103*v\/6 - 2639\/3 = 0 for v.\nAnswer: -91, -29, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 70?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*d - 1463515, 2*r + 2*d - 166297 - 419105 = 0. Suppose r = 5*g + c - 2*c, 0 = -4*c + 12. Let b = 98541 - g. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-799.\nAnswer: 239.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**2 - 1 + 4*s - 13*s**2 + 5*s**2 + (-1 + 1 - 1)*(6 + 2*s**2 - 6).\nAnswer: -18*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 12. Let v(o) be the first derivative of -o**4\/4 - o**3 + 5*o**2\/2 + 5*o - 2. Let c be v(-4). Let j be (c - -14)*2\/6. Calculate u(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0518*-1.2.\nAnswer: 0.06216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.661 * -5.05.\nAnswer: -68.98805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 209\/3. Factor 0*g - x*g**2 - 4\/3*g**3 + 0 - 2\/3*g**4.\nAnswer: -2*g**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*y = -2*x - 13, -3*x + 5*y = -19. Suppose 0 = 3*f + f - x. Factor -8*q + 5*q - 2*q**2 - 3 - 3*q - q**f.\nAnswer: -3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/((-2)\/84*-3). Let d(a) = -7*a**3 + 4*a**2 - 3*a. Let c(m) = 22*m**3 - 11*m**2 + 10*m. Let j(z) = p*d(z) - 2*c(z). Factor j(s).\nAnswer: s*(s - 1)*(5*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 111*f = 4152577. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 6*p - 64 = -19*z, 3*p = -z + 29. Which is the fourth smallest value? (a) z (b) 0.08 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 63. Let r = -11 + f. Let l(d) = d**2 - 4*d + 6. Let q be l(5). Calculate the highest common factor of q and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 94.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -288 and -10814757.\nAnswer: -10815045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -207665*j. Let o(l) = 87*l**2. What is o(p(m))?\nAnswer: 3751853443575*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72))**2 - sqrt(2))*4 - sqrt(2) - -3*sqrt(72)) + 0 + sqrt(200)*-2 + 1.\nAnswer: -7*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o\/(o**(1\/2)*o)*o)*(o**0*o)**(1\/5))\/((o**(1\/2))**(-35)*o**(-1)*o**4) assuming o is positive.\nAnswer: o**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 388370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.081.\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 143*h - 4. List the prime factors of g(-14).\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90 + (-9)\/(-27)*3. Solve p*g - 84*g - 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7397, 7085, 6771, 6455, 6137, 5817?\n\"Answer: -n**2 - 309*n + 7707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -418 - 306374?\nAnswer: -306803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47076b56 + -1?\nAnswer: -47076b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13 + 209*n**2 - n**3 - 22*n - 86*n**2 - 99*n**2. Let s be c(23). Solve -2*w - s = 4*o - 0, -4*w = -o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(17) - sqrt(34)\/sqrt(2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.38 + -4.68. What is the closest to 4 in 0, -0.14, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40305 - 40303. Solve 160*z - 2*j - 14 = 162*z, b*z + 5*j = -26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (227 - 211)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/12 + 119*o**2 + 154*o - 55. Let i(t) be the first derivative of l(t). What is the derivative of i(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, 1 u, and 1 g when four letters picked without replacement from {g: 3, b: 5, u: 2, q: 6, f: 1}?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*b - 151, 42 + 97 = 5*y - b. Suppose 6*m - 50 = m. What is the remainder when y is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:04 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 - 6588*v**2 + 5459.\nAnswer: 4*v**3 - 13176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114.5 - -151. Let a = z - 36. Let b = -2 - -1. What is the nearest to b in 5, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18990018*v**2 + 1160875*v?\nAnswer: 37980036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 455+3.803158\nAnswer: 458.803158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 3*q**4 + 0*q**4 + (-q + 2*q**2 - 2*q**2 + q**2)*(q**2 + q**2 + q**2).\nAnswer: 4*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*r - 3*d - d, -4*r = -5*d + 17. Let o = 2 + -6. Let t be r\/o - 1\/(-2). Is 0 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -582.3516 - -561.37. Let i = u + 21. Round i to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 3*r - 2. Let s(d) = 11*d**2 - 10*d - 7. Determine -7*o(x) + 2*s(x).\nAnswer: -6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3 + (-1 + 1 - 6)*(0 + 3 + 5))*(11*w**5 + w**5 + 3*w**5).\nAnswer: -690*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/43, -211, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -165387+120661324\nAnswer: 120495937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4 - 68*x + x**3 + 0*x**3 - 3*x**2 + 54*x. What is the tens digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 19*l - 168. What is n(-22)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-2\/15)*(h*h**1)**(1\/12))\/(h**(4\/9)*h*h**6)**(-1\/4) assuming h is positive.\nAnswer: h**(389\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + c**2)*(c**2 - 2 - 68*c + 37*c + 29*c) to q*c**4 + o + y*c**2 + u*c**3 + l*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.483 - -1.483. Let q be (1 - 9\/5)*5. Let f = 0 - 0.1. Which is the nearest to f? (a) 4 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let q(a) = 480183*a**2. Give q(f(z)).\nAnswer: 1920732*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (6 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2058899, 2058897, 2058895, 2058893?\n\"Answer: -2*w + 2058901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 26 - -26 - (2 + -2 + -11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 74*t**2 + 1128*t - 253. What is y(-87)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 - 18\/(-4))*(-36)\/(-27) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*(-24)\/(-27)*-2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32014444 (base 6) to base 14\nAnswer: 1a4ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*i = -2*u + 75, 2*i + 375 = -5*u. Which is smaller: u or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.57, 1\/4, -0.1, 2, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(48) - sqrt(12)))\/(sqrt(100)*-4) - (sqrt(576)\/sqrt(3) + 2 + sqrt(147)).\nAnswer: -151*sqrt(3)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -82b?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/3 - 1\/3. Let g be ((-20)\/8)\/((-1)\/a). Suppose 0 = -3*q + f + 8, -g*q + 0*q = 5*f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:41 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1)\/sqrt(10) + (-4*(sqrt(17) + 0))**2.\nAnswer: -sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -15. Let s be -4 + 3 + 0 + k. Factor 4*w**2 - w - 3*w**2 + 0*w + 0*w**s.\nAnswer: w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7745\/25323 or 0?\nAnswer: 7745\/25323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r - 4 = 0. Suppose x + 3*t - 10 = 0, x = -r*x + 2*t - 3. Which is smaller: x or 10\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210570 by 54.\nAnswer: 35095\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143\/16 + -1601\/112. Find the common denominator of ((-10)\/((-220)\/1089)*1)\/5 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3137398, -3137399, -3137400, -3137401, -3137402?\nAnswer: -3137403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 12 - 53. What is the fourth smallest value in -2\/15, -1\/26, o, -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-45) - 785\/9. Let a = -81 - n. Suppose -2*z + a = -7*z + 4*p, 2*z - 12 = -2*p. Put -17, 5, z, -5 in increasing order.\nAnswer: -17, -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o. Let w = 18 + -5. Let g(z) = -17*z. Let n(t) = w*s(t) + 6*g(t). Let v(x) = 28*x - 17*x - 16*x. Determine n(v(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3682366?\nAnswer: 2, 31, 59393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*k = -12, k - 6 = -0 - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 + 403. Let x = -112 - -114. Which is bigger: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 29*c**3\/4 + 143*c**2\/4 - 5*c\/2 = 0.\nAnswer: -5, 0, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 + -26. Let y = x - 1629\/8. Let i = 2 + -1.8. What is the third biggest value in -2\/7, y, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 3.0317\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/12 + j**3\/6 - 16*j**2 - 34*j + 13. What is s(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -18*j - 2*d - 8, 5*d + 25 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2544255 (base 6) in base 15?\nAnswer: -2aed2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 71. Suppose -3*s + b = -33. Let n be 634\/14 + (-4)\/14. Calculate the highest common divisor of n and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:45 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 94*i + 2. Let x(v) = -2*v + 2. Give -u(k) + x(k).\nAnswer: -2*k**2 + 92*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 82*b. Let i be a(1). Suppose -4*o = -8, 3*k = 6*k - o - i. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611255747?\nAnswer: 761, 803227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + p + 320 = -3*p, -4*p - 397 = -5*y. Calculate the remainder when y is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 1 + 10314488*v**3 - 10314473*v**3 - 4.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**12)**34 assuming b is positive.\nAnswer: b**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 114425.0675 rounded to the nearest 100?\nAnswer: 114400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 2*o + 3. Let h be g(-3). Suppose h = y - 12. Let r = 13 + y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 120, 299, 592, 1035, 1664?\nAnswer: 2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -4 + -6 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82608.68 kilograms in grams?\nAnswer: 82608680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {e: 1, b: 1, n: 1, k: 9, h: 2, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Suppose 0 = r + 2, -4*r = 4*m - 11 - u. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 8 - 3. Let g = -4344 - -4346. Put s, -5, g in increasing order.\nAnswer: -5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-24) + 1128\/18 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11819.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -560*q - 5386. Calculate o(-9).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z - 4. Let n be q(6). Let l(o) be the third derivative of o**4\/12 - 4*o**3\/3 + o**2. What is the units digit of l(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6815 - 13808. Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 241205 = 3*s, 3*s + 5*j + 80375 = 2*s. What is s rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x + 4*j - 64, 5*x = j - 61. Let k be (-1)\/4 + (-27)\/x. Solve -k*t - 4 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -34, -81, -154, -259, -402, -589, -826?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*v + 4*v - 54, 4*b + 3*v = -183. Let t be 0 - ((b - 1) + 3). What is the remainder when ((-1 - t) + 0)*-1 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.642024 centuries in millennia?\nAnswer: 0.6642024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-3\/7)*k*(k\/k**(-3\/4))\/k*k**(-3)*k*k*k\/k**(7\/5)*k assuming k is positive.\nAnswer: k**(389\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 25, -2*g + 3*a = -a - 24. Suppose -13 = -4*v - 3*t, 0 = -3*v - 3*t + t + 10. Suppose 0 = v*o - 0*o - 8. Solve o = g*b + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**3 - 4*r**2 - 4*r - 1. Let s(q) = -6*q**3 - 3*q**2 - 3*q - 2. Let v(k) = -3*j(k) + 4*s(k). Find the first derivative of v(g) wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 59. Which is the third biggest value? (a) 0 (b) 1\/4 (c) -0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -23. Suppose 9 = w*i - 91. What is the remainder when (-2512)\/(-34) + (-4)\/(-34) is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8 - 4 + 2*n - 7 + 2*n. Let d be (-2)\/91 - 436892\/(-86996). Determine o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -345, -507, -665, -819, -969, -1115?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12433.\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 59. Let c be n(0). Let y be (-14)\/4*-14 - (-7)\/1. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + h - 1, -3*j - 13 + 37 = -4*h. Let z(a) be the first derivative of -5 - a**4 + 3*a**2 - j*a**2 + 2. Find the second derivative of z(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -1 - (-25 + 31 + -13) - 10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.3 (b) 0.073014 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4345)\/(-237))\/(40\/(-24)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 - 11*j**5\/60 + j**4\/24 - 13*j**3\/6 - 69*j**2. Give f(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1150\/47 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5662*h**3 - 604*h**2 + 1 + 2*h + 606*h**2 - 3 + 5663*h**3. Suppose t + 2*t = 99. Let f(a) = 6*a**3 + 11*a**2 + 11*a - 11. Give t*v(x) - 6*f(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -33, 29?\n\"Answer: 62*i - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -10 in decreasing order.\nAnswer: 1, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130594*n + 9*n**2 - 51*n**2 - 130598*n - 1 to the form j*n**2 + m + y*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387783, 387785, 387787?\nAnswer: 387789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/65)\/u)\/((u\/((u\/((u**(-2\/3)\/u)\/u))\/u))\/u))**21 assuming u is positive.\nAnswer: u**(2233\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5734792*x**2 + 6157360 wrt x?\nAnswer: -11469584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 1. Let s be f(16). Let j(l) = 5*l - 7. What is the remainder when 2611\/s - (-2 + 32\/14) is divided by j(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let h(g) = 11*g - 1. Let j be h(k). Let n = j + -21. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -13*j + 17. Let d(p) = -3*p + 4. Let q(h) = -9*d(h) + 2*s(h). Let b be q(2). Solve b*u + 2*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 439 - 498 = 13*n, 25*y = n + 4*n - 265 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-p + 0*p - p)*(22729*p + 943422 - 943422)*(-1 + 3 - 4).\nAnswer: -272748*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a8 (base 16) to base 6.\nAnswer: -34040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/((-249)\/(-13363))*27\/9.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-98)*-7*1\/3. Sort -8, 2, v, -3 in increasing order.\nAnswer: -8, -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = -5*d + 5*y, 5*y = 5*d + 10. Suppose 3*h + 0*h - 9 = d. Solve 4*n = -2*t - 22, 6 = 2*t - h*t - n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/99 + (-8107)\/(-3). Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 3*a + 2. Suppose 7*t + 3*y - 7 = 8*t, 5*y = 10. Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605 - 800 - 795 - 20*z.\nAnswer: -20*z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**6)**14)**(-43\/4))**5 assuming g is positive.\nAnswer: g**(7525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3958162 and 5382.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let q(t) be the first derivative of 684*t**2 + 642. What is q(y(r))?\nAnswer: -2736*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*t**3 + 735*t**3 - 652*t**3.\nAnswer: -69*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 4*b + 124974*b**2 - 3 - 124955*b**2 in the form f*b**2 + u + d*b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3 - 7*d**2 + 9*d + 63 = 0.\nAnswer: -7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 484*j**2 - j. Let p(u) = 15113*u. Give d(p(k)).\nAnswer: 110546940196*k**2 - 15113*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77*n**3 - 2631 wrt n?\nAnswer: 231*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -3, 1, 3, -2848 in ascending order.\nAnswer: -2848, -7, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89 + -82 - (-3 - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**3 - 25*n - 36*n**3 - 5*n + n**3 in the form u*n + w + z*n**3 + y*n**2 and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 18095.\nAnswer: -904.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33277*b = 33314*b. Factor b - 20\/3*w**2 - 2*w.\nAnswer: -2*w*(10*w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -0.6 (c) -55 (d) 0.2 (e) 0.3 (f) 40\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 3\/79, -9, -5, 2\/7?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - 2*r)*(-3*r**2 + 2*r**2 + 4*r**2) + 1449*r**3 - 1305*r**3 + 1365*r**3 + 1524*r**3.\nAnswer: 3027*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 11. Let u(a) = -5*a - 22. Calculate -5*s(l) - 3*u(l).\nAnswer: 5*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1778 or 72933\/41?\nAnswer: 72933\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -103\/2 (b) 0.1 (c) -0.2 (d) 3 (e) -0.01 (f) 4\/5 (g) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i + 1. Let r = -16 + 13. Is y(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14000 and 66276000.\nAnswer: 66276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 7\/2*b**2 + 3*b - 1\/3*b**3 + 2. Determine m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1874*1\/10 + (-6)\/15. Let f be w\/(-255) - (-1)\/3. Is -2.5 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Let m be ((-2)\/3)\/((-2)\/15). Let z(o) = -1. Let u(p) = 7*p - 4. Let k(g) = u(g) - 5*z(g). Give m*w(j) + 2*k(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 1. Let l be c(2). Let g = 111 + -102. Suppose 0 = g*q - 5*q - 72. Solve -q = 3*k + 3*u, k - 3*u - 20 = l*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-10)*k)\/k)\/(k\/(k\/k**0)))**16*(k**(-2\/3)*k)\/k*k*((k\/k**(-4))\/k)\/k*k**(-1\/3)\/k*k*k\/(k\/(k**6\/k)) assuming k is positive.\nAnswer: k**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b*b**(-1\/11))\/(b\/(b\/(b*b\/(b*((b\/b**(-2)*b)\/b)\/b)))*b\/b**(2\/5)*b*b) assuming b is positive.\nAnswer: b**(-588\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.03 < 35.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -1634, -2207, -2804, -3431?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - x**4 + 0)*(-40 - 30 - 7)*(2 + 5 - 6) as j + i*x**2 + c*x**3 + a*x + z*x**4 and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -317\/140 - -51\/20. Which is the nearest to 3? (a) 4\/3 (b) 2\/17 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l\/(l*l*l**2))))*l*l*l*l**4*(l**(1\/3)\/l)**(-36) assuming l is positive.\nAnswer: l**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {d: 1, b: 1, t: 4, u: 4, m: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-122)\/(-10)) + (-10)\/(-50). Let o = c + 15. Suppose l + f = -f + 10, 0 = 5*l + 4*f - 44. Solve l = -4*k - o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 83 + 5 + 3*1. Let u = m - 66. Suppose z - 2 = -w, 19 = -3*w + 7. What is the highest common divisor of z and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let g = 5243 + -5246. Let m be (-10)\/x*(-10)\/(-15)*g. Solve u = m*h - 13, 4*h + u = -2*u + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*m - 277. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3284 = 341*x - 40*x - 629 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b - 45*b - 30 = 0. Solve 4*w - 36 = -4*h, w = b*w - 5*h - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1116, 2232, 3356, 4494, 5652, 6836, 8052, 9306?\nAnswer: 10604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 24*b + 100. What is the remainder when m(7) is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.4, -6\/11, 8\/7, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127.64 + 128.14. What is the third smallest value in a, -4, -6\/5, -2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -155660?\nAnswer: 1\/38915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 84*a**2 + 678*a + 93. What is h(-75)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 12. Suppose 3*i + 5 - 24 = -5*r, 4*r + y*i = 14. Solve -u = 4*b + 15, r*b + 2*b = 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 23*z**5 + 4*z**4 - z. Let u be (-12)\/(-1)*(-1)\/(-3). Let g(v) = v**4 + v. Let s(m) = u*g(m) - a(m). Find the second derivative of s(i) wrt i.\nAnswer: -460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3081, 5407, 6971, 7767, 7789?\nAnswer: 7031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*j - 8 + 150, 0 = -4*i + j - 178. Let l = -10 - i. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 35. Let g be 13\/5 - 10\/(-25). Let r = g + o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13445 = 5*q - 4*x, 4*q - 5*x - 10767 = -4*x. 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 thousands digit of 40614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2*c + 2. Let b be u(0). Suppose -s + 2*s - b = 0. Factor 0 + 2 - 1 - n**3 + 4*n**s + 1 - 5*n.\nAnswer: -(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 24. Let z be (-4 - k) + 3 + 1. Suppose 4*r - 1 = -3*u - 17, 2*r + 5*u = -8. Which is the second biggest value? (a) -5 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/1*6\/(-7). What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2004 >= 0.015659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-790)\/6*2\/(-174). Let l = -114\/29 - s. Calculate the common denominator of l and ((-21)\/36)\/((-10)\/(-135)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:48 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21801, -2\/3, -1, 0.2, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c**4 + 0*c)*(8 - 3 - 10)*(4*c - 4*c - 2*c).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3602199 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.006 (b) 2\/9 (c) -2\/7 (d) -1943\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -4, -2, 1\/2, -1284, 2\/15?\nAnswer: -1284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6000272 and 0.3.\nAnswer: 1800081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:10 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -22*g - 69. Let a be u(1). What is the smallest value in -2, -3\/4, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -74*f**2 - 4*f. Let i(g) = -147*g**2 - 7*g. Give 6*i(c) - 10*q(c).\nAnswer: -142*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x. Let a(f) = f + 1. Give -3*a(o) - n(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 6) to base 8.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:36 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-95)\/(-10) + 2\/4 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182 (base 10) to base 5.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -23*v - 13. Let r be u(-3). Suppose -r = -4*t - x, -t + 0*x = -x - 19. Let a(s) = t*s - 13*s - 12*s. Let g(c) = 2*c**2. Determine a(g(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 2. Let g be 6\/(-4) + 3\/(-6). Let w = g + 4. What is the tens digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyzhshhssyhz. What is prob of sequence ss?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a1b (base 13) in base 6?\nAnswer: 515004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/20 - 16\/(-10). What is the tens digit of 43*(0 - (v + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 66279*z + 928494.\nAnswer: -3*(z - 14)*(z + 22107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/6 - j**2\/2 + 4*j. Let r be q(1). Let c(y) = r*y - 2 + 2*y + 2. Calculate c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 3*c - 2657 = 0, 3*p = -3*c + 1989. Suppose 4*x + p = 2800. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, 39, 2\/11, -3, -0.65, 2?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 2 + 2 + (-m + m - m)*(0 - m + 0) + (-132*m + 146*m + 873*m)*(2*m - m - 2*m + 3)*(-2 - 2 + 3) in the form d*m**2 + h + z*m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327403192 by 346.\nAnswer: -946252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 1. Let k be b(-4). Let z be k\/(-1)*(1 - 0). Let d = 5559 - 5562. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + m - 85 = 0, 0 = 3*q - m + 36 + 27. Let s(y) = 10*y + 219. Let a be s(-22). Is (a - q)*(-70)\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(55\/((-8525)\/30))*9\/(-6)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 344 = 20*t + 225, -6*t = -3*q - 33 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302*f**2\/9 + 5440*f\/9 + 8.\nAnswer: 2*(f + 18)*(151*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -798 or -5576\/7?\nAnswer: -5576\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 5. Let x(g) = g. Let q be x(-3). Determine r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z + 0*z**3 - 10*z**2 - 1\/30*z**4 - 1\/150*z**5 + 0. Suppose g(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n - 77. Let u be c(-5). Suppose u*j = -4*g + 15585, 21355 - 579 = 4*j + 4*g. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Suppose -x*o + 5 = o. Solve -3*g + o + 11 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 220.757064 and 34048.6.\nAnswer: 34269.357064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnfhhfcfrfhhfffhq. Give prob of sequence hc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.339 - -4.401. Let y = 0.26 + s. Sort -1, -9, y.\nAnswer: -9, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 6*l + 4. Let c be h(-2). Suppose c = -4*q + 273 + 327. Let w = q + -79. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/705 and (-31)\/15*(-17)\/(-1496)*55.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 2*f**4 + 5*f**4 + (0 + 0 + 1)*(-2*f**3 + 2*f**3 - f**4) - 11*f**4 + 8*f**2 - 8*f**2 - 6*f**3 - 4*f**4 - 10*f**3 - 8072*f**2 + 8075*f**2.\nAnswer: -14*f**4 - 16*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58613921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 6*x - 4. Let k be g(-4). Suppose 0 = -5*r + v + 2*v + 70, k = -r - 3*v. What is the highest common factor of 121 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25596 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -10. Let m(b) = b**2 + 8*b + 7. Let p be m(k). Suppose p*r = -2*r + 106. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7b43 (base 12) to base 8\nAnswer: -32643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3 + 13601*j**2 + 38638160*j - 53721854912 = 0.\nAnswer: -7304, 1007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-2*sqrt(77)*-1)\/(-1*sqrt(7)*6) + 1.\nAnswer: -sqrt(11)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -451*c**6\/3 + 9*c**2 - 29*c - 972. What is the second derivative of g(m) wrt m?\nAnswer: -18040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -61 (b) 0.1 (c) 1 (d) -1\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76\/6 + 2\/(-3). Suppose -12 = -a + 2*o, -2*a = 2*a + o - 30. Let i = s - a. Solve 0 = -y - y - i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 2. Let c be k(-18). Let b = c + -261\/5. Sort -3\/7, b, 0.3 in decreasing order.\nAnswer: 0.3, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16630 or 16639?\nAnswer: 16630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/42 + (-30)\/(-105)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 + 2*n + 2. Let x = 4 - -2. Suppose -2*p - 5 = -3*o + x, 5*p + 5*o = 10. Let b be r(p). Solve -5*f = -b - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 339776325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 76000. What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 246585, 246586, 246587?\n\"Answer: h + 246584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v + 3*w = -15, -2*v + 3*w + 15 = 0. Suppose v = 6*j - 4*j + 36. What is the smallest common multiple of 27 and (j - -16)*3\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 61. Let j = r - -76. Suppose -i + 4*q + 40 + 17 = 0, -i + j = 2*q. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/20)\/(-2*(-3)\/(-96)*-15)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 134 + 102 = -5*c, 5*y = 5*c - 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaklakxkakxk. What is prob of sequence xa?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f - 1 + 378*f**4 - 407*f**4 + 1 wrt f.\nAnswer: -348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*q + 20 + 66. Sort q, -3, -4, 6 in ascending order.\nAnswer: -4, -3, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3 - 4167*z**2 + 86454*z - 369360 = 0.\nAnswer: 6, 15, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8667 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7))**(-37)\/(w*w\/((w**(2\/7)\/w)\/w))**(2\/9))**(-44) assuming w is positive.\nAnswer: w**(-56320\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 171\/(-21) - -9 - 32\/546*12. Let j = 0.1 + -0.2. Which is the closest to j? (a) 0.6 (b) k (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229500 by -1530.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 22 = -5*d, -d = x - 494 + 499 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13363 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 - 271*o**2 + 1744 with respect to o.\nAnswer: -4*o**3 - 542*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*(-12)\/78. Let c = -1.63 - 0.17. Let g = -2 - c. What is the smallest value in d, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278380.\nAnswer: 2, 5, 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279602 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 153*h - 598. What is i(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let i be p(-11). Let t(h) = h + 1. Let u(d) = 3*d + 12. Let k(z) = i*t(z) - u(z). Let f(w) = -2*w. Calculate f(k(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4 + 5*v - 353 wrt v.\nAnswer: -8*v**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 114133*o**2. Let u(x) = -73*x**2. Calculate m(u(g)).\nAnswer: 608214757*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-19)*f\/(f\/f**(-6\/7))*((f\/(f*f**(-29))*f)\/f*f)\/f*f**(1\/9)\/f assuming f is positive.\nAnswer: f**(520\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 2\/623?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/24)\/17 - 38\/80. Is x <= 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**3 + 3*v**2 + 5*v + 3. Let z(d) = 3*d**3 - d**2 - 2*d - 1. Determine -2*i(y) - 5*z(y).\nAnswer: -3*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-2)\/((-6)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52 and 2.8.\nAnswer: -1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*w + 5*x, -4*x = 2*w - 1 - 11. Solve 5*s = -4*d - 21, 3*d = -s - w*s - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 2 = 10*u. Solve -5*k - 38 = 5*x + u, -3*x = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j*j**(-12\/5))*j**9*j assuming j is positive.\nAnswer: j**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(208))\/((sqrt(4) + sqrt(36) + sqrt(4))*-4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-14 - -7) + -44?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, 3, -1 in descending order.\nAnswer: 3, 2, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 18*h**2 - 1. Let l be x(9). Which is the fourth smallest value? (a) l (b) 3 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.052, -0.3, -1\/111 in decreasing order.\nAnswer: 0.052, -1\/111, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Let c(v) = -4*v - 5. Suppose -6 = 5*f - 16. Suppose 24 = g + 5*x, 2*x - 24 = -4*g + 6*x. What is f*c(m) + g*n(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a*a\/(a*a**(2\/7)*a))*a)\/a*a*a**(2\/3))\/((a*(a\/(a*(a\/(a\/(a*a*a**7)))\/a))\/a*a)\/(a*a*(((a\/a**(-2\/15))\/a)\/a)\/a)))**(2\/51) assuming a is positive.\nAnswer: a**(706\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 4385.\nAnswer: -6577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437083, -1437181, -1437271, -1437347, -1437403, -1437433?\nAnswer: -1437431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -46. Let c = -6 + 12. Suppose -2*z - 6 = -4*b + 8*b, 5*b = -4*z - c. Sort -1, z, h in descending order.\nAnswer: z, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 929, 3561, 7941, 14075, 21969, 31629?\n\"Answer: u**3 + 868*u**2 + 21*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*g - 36, -3*g = -0*g + 12. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3713889.854 rounded to the nearest 1000?\nAnswer: -3714000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 28344.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 - 8*s - 5. Let m be h(-7). Suppose 0 = 4*c - m*v - 114, c - v = -2*c + 87. Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x - 8*x + 2 - x**2 - 3. Let c be r(1). Suppose c = -i - 2*g + 16, 5*i - 59 = -2*g - 11. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 19. Suppose -3 = -k*x + 3*x. Suppose -137 = -x*q + 25. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 30. Let n = 224 - 233. Calculate the remainder when (m - 1) + 36\/n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29748407261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11072328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 4 = 3*m. Let k be m + (-6)\/3 + 8. Is (k\/1)\/((-9)\/(-18)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 355*w**3 + 13 - 506*w**3 + 3.\nAnswer: -861*w**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 + 3 + -7 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -29?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:04 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/49 and -81\/1106.\nAnswer: 7742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57c00d - -3?\nAnswer: 57c012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 15, 1\/4, 4, -2.64, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and ((-658)\/141)\/(7\/(-18))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9779 - 9768) + 52 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -466 (b) -40 (c) 2\/7 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/9308 and -73\/51194.\nAnswer: 102388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) - (3 + sqrt(432))*-4))**2 + sqrt(432).\nAnswer: 1740*sqrt(3) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2\/(-2))*-1. Let w be 13 - (-2 - -3)\/i. Suppose 2*f - 20 = -w. Solve 5 = -2*n - f*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1757*t**2 + 229*t + 6. Let g(s) = 1756*s**2 - 231*s - 5. Let z(l) = 6*g(l) + 5*h(l). Find the second derivative of z(w) wrt w.\nAnswer: 3502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155377019 + -1.7?\nAnswer: -155377020.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 419*b**6\/5 - b**4 - 32*b**2 + 2474*b. Find the third derivative of d(k) wrt k.\nAnswer: 60336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1. Let b(u) be the first derivative of u**2\/2 - u - 2555. Let z be (1\/(-2))\/(2\/4). Let p be -1 - (0 + -1 - z). Give p*q(i) + 2*b(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3 less than 1693.23295?\nAnswer: 1708.53295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1379 and 1773.\nAnswer: 12411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2591 - -2592.171. What is k rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173977, 347776, 521575?\nAnswer: 695374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84.7 - -85. Which is the smallest value? (a) -0.3 (b) 3 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50d2 - 3?\nAnswer: -50d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2911\nAnswer: 873.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 12*k + 16, -s - k = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14269771 is divided by 7134875?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w)\/w*w**(-1\/2)*w**(-1)*w*w**(1\/7)*(w\/(w**(-1\/4)\/w))\/(w\/w**(-1\/5))*w**(-4\/7)*w*w*w\/(w**5*w) assuming w is positive.\nAnswer: w**(17\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -29*a**3 - 2*a**2 + a + 1. Let f be y(-1). Let o be 9\/f + 1832\/3. Suppose -3*h + o = -4*k, 3*h + 4*k = 499 + 96. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 4)*(-2*y**2 - 2*y + 2*y**2 - y**2) to n*y**2 + d*y + v and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17689 is divided by 17402?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 18. Let j be h(-12). Let i be (2 + 423\/j)\/(2\/(-4)). Find the common denominator of 29\/14 and 0 + i\/50 + 0 + 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -13*h - 84. Suppose -2*b + h*b - v - 33 = 0, -b - 3 = -5*v. Calculate the smallest common multiple of 2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005985 rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**17))**(-40) assuming u is positive.\nAnswer: u**(-760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 3.9?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/140)\/(-3*1\/(-15)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 24 = -4*p + 20, 22*p - 26*p + 4 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41527 is divided by 865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.07 + 9. Let r = t - -0.37. Let u = r - 0.2. What is the smallest value in 1, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 - 14*k - 3. Let h be z(-2). Let a be (h + 12\/(-9))*-36. Calculate the highest common factor of 360 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsttttttsstjst. What is prob of sequence st?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 33. Calculate n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*c - 19 = 0, 5*c = t - 0*c - 27. Suppose t*q - 13 + 5 = 0. Solve 2*a + q*x + 0 + 2 = 0, 7 = 5*a + 4*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 32 - 12. Suppose -2*g = u + 1. Put -0.2, 2, g in descending order.\nAnswer: 2, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/(u\/(u*u**9)))**(-3\/5)\/((u\/(u\/u**(-1))*u)**(-39)*u**2\/u*u**(-1\/7)) assuming u is positive.\nAnswer: u**(-51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21898368 and 6960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*y = -7 - 20, -4*x + 4*y = -28. Let b = x + 2. Let g(j) = -285*j**2 + 583*j - 7. Let r be g(2). Solve -i + 4*a + r = -0*a, 2*a + 14 = -b*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 - -0.34. Let j = -7224 - -7220.973. Let r = 0.027 + j. What is the nearest to 0.1 in r, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -64*x**3 + 202*x**2 - 8*x + 13. Give q(3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-3))\/(-3 + 121\/33). Is 11 a factor of (3 + w)*(1 + -188)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3710 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -5. Let o = a - 30. What is the remainder when 95 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6970452 <= -6970452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155343 - -1206?\nAnswer: 156552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + 7 - (3 + 1). Suppose -15*i - 24 = -m*i. Solve -2*c - c = -i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -4613, -15659, -37229, -72845?\nAnswer: -126029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 62, 5, 7, 1, 2 in ascending order.\nAnswer: 1, 2, 5, 7, 11, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yuyyeueyeey?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 556401374 - 3?\nAnswer: 556401371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2737020 and 2?\nAnswer: 2737020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87448417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*k + 5798 + 546 = 0 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + -1*(sqrt(88) + (sqrt(88) - 2*sqrt(88))))*5)\/((sqrt(5760)*-1)\/((sqrt(125)\/sqrt(5))\/sqrt(5))).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 473 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:13 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {q: 5, i: 1, z: 1, f: 3, u: 6, k: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + sqrt(396))*6 + -1 - (sqrt(396)*2 + 0 - 4*(-1 + sqrt(396))**2))*2.\nAnswer: -18684 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f + 20*f + 33*f - 18*f.\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3 = 2*j, -5*j + 43*l - 41*l = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -7.\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 129506\nAnswer: -1554072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 3160?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -39) + 6 + (-10 - 0) + -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -4409.\nAnswer: 18\/4409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0*g + 4\/3 - 1\/3*g**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.096 and 114.\nAnswer: 10.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12125751 divided by 33.\nAnswer: 367447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/((-20)\/25). Which is the second smallest value? (a) f (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194, 719, 1580, 2771, 4286, 6119, 8264?\n\"Answer: -t**3 + 174*t**2 + 10*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-244356)\/(-698160)*(-40)\/(-777)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*v - 2*t + 1, 4*t = -3*v + 20. Suppose -4*h = -3*f + 7, 6*h - h - 5 = f. Let j = f + v. Which is the biggest value? (a) 1 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 165. Let u be 10\/(-35) - y\/7. Does 2 divide (-1 - (u - -3))*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2 - 2)*(4*b**2 - b - b**2 - b**2).\nAnswer: 4*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**4\/4 + 4*f**3\/3 - 2*f**2 + 6*f + 8. Let d be w(-5). What is the smallest value in -5, 3, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(325)*2 + -2 + -2 + (3 + -2*sqrt(325))*1)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1102?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:10 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3, 3*z + 7 = -4*a - 2. Let h be -3 - (a - 3\/(-1)). Does 10 divide (-2)\/3*h - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - d - 27, -10*z - 141 = -11*z + 3*d - 28*d for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*l + 831 = -695 - 2614 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 70. Let h be s(24). Suppose 5*r = -3*x + 142, r + h*x - 15 = 12. Is r smaller than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:39 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6660 - -6677. Let v(s) be the second derivative of 0 + 0*s**2 - 9\/20*s**5 - 1\/2*s**4 - r*s + 0*s**3. Find the third derivative of v(j) wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 1401?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*s - s - 108, o = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**2\/8 + 249*z\/4 + 855\/8.\nAnswer: -3*(z - 57)*(3*z + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m**3 - 399 + 399)*(3 + 0 - 1)*(0*m - 3*m + 6*m)*(-13*m + 36*m - 72*m).\nAnswer: 4410*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61653157 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594247.\nAnswer: 193, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 489, 489, 491, 495, 501, 509?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/6, -1\/4, -0.3, 0.2 in descending order.\nAnswer: 0.2, -1\/4, -0.3, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/70 - 4\/(-5). What is the closest to 6 in 0.5, 0, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j - 8. Let s be j*8\/4*1. Do -3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 4, q: 4}. What is prob of picking 1 q and 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:43 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:48 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.0604ug in kilograms?\nAnswer: 0.0000006750604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3391012, 6782018, 10173024?\n\"Answer: 3391006*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(612)*2 + -5 - (-3 + 2 + sqrt(612) + sqrt(612)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 2\/3, -7\/4, 5.\nAnswer: -7\/4, -2\/5, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 5 - 5)*(-2 - 14 - 1 + (2 + 4 + 1)*(1 + 2 + 1)) - 5*o - 5*o + 12*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 872437.4 centuries?\nAnswer: 87243.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26704365 is divided by 3499.\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -6, 5, -4.\nAnswer: -6, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -2*i**5\/75 + 17*i**4\/90 - 4*i**3\/9 + 4*i**2\/15 - 3*i. Factor d(y).\nAnswer: -2*(y - 2)**2*(4*y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*n**3 - 259*n**3 - 274*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448020.\nAnswer: 2, 3, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3714 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + (-3)\/9*0. Let f = x + -39. Let o be (3\/2)\/((-6)\/f). What is the closest to 0 in 1\/8, 0.3, o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17963 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966528 and 1920.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/78*u**4 + 0 + 2*u**2 + 9\/13*u**3 - 148*u. Factor w(y).\nAnswer: 2*(y + 1)*(y + 26)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5 - 736692*l**4 + 67841597688*l**3 - 406952345968*l**2 - 6512204052480*l - 15195527827200 = 0.\nAnswer: -4, 14, 184170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154560856.\nAnswer: 2, 73, 264659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/6 + 55*c**3\/6 + 57*c**2 + 48*c = 0.\nAnswer: -48, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2698.45123 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 462244 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45318 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/16 + (-9)\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6677.\nAnswer: 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*k**3 - 52*k**4 - 90*k**3)*(-4 + 1 + 1) as f*k + y*k**4 + r + u*k**2 + i*k**3 and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86099769 to 3 decimal places.\nAnswer: 0.861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7117 = 2*k, 0 = 3*k + 3*d - 5451 - 5232. Is k a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Suppose 2*f + 4*n + 232 = -2*f, 4*f + 257 = n. Let r = -63 - f. Solve z = i - r*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-16)*4\/6. Let q be (24\/(-8))\/(-7 + 3 - 193). Is q bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:10 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (522\/1740)\/(21\/3990).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108984?\nAnswer: 2, 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2260, -4498, -6742, -8992, -11248?\nAnswer: -13510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2815 = 9*j - 43*j + 3645. Calculate the greatest common divisor of j and 2774.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12 + 10 - 18 + 8 + 3*c - 17. Let n(o) = o - 2. Calculate -7*n(s) + 3*r(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1537)\/212 + ((-68)\/(-80) - 9\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u**2 + 2*u - 1. Let r be t(1). Suppose v - r = -4*v. Suppose 0 = v*h + 7 - 27. Solve -h*y = -2*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 7*g - 8. Let a be n(6). Let o(d) = -15*d. Let c be o(a). Calculate the greatest common divisor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1242, -0.04, -2, 105 in increasing order.\nAnswer: -1242, -2, -0.5, -0.04, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 431170341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009 + 7043 + 22*r**2 + 1016 + 1007 - 6*r**2 - 10075.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(2\/47)\/o)\/o))**(-12\/13)\/(o**8*o*o\/o**(1\/13)) assuming o is positive.\nAnswer: o**(-7167\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38920.7 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/11)\/f)**11\/(f\/(f\/(f**0\/f)))**10 assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 14. Let c be z(-10). Let v(f) = f**3 + 33*f**2 + 61*f - 2. Let u be v(-2). Let a = 17 - 10. Solve a*m - c*m + 3 = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 55. Which is smaller: 132 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6697 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 - j**3 - 196 - 7*j**2.\nAnswer: -j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.28? (a) -0.5 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397.026 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1602.2 and 0.2.\nAnswer: 1602.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -108. What is the second biggest value in -5, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-996*y**2 - 830*y**2 + 1533*y**2)*(y - 2 + 5 + y) in the form j*y + t + n*y**3 + m*y**2 and give m.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*y + 69*y - 4 + 71*y + 67*y.\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129117267?\nAnswer: 3, 4782121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8832 and 15358848.\nAnswer: 15358848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 14. Let l(i) = i - 1. Let d(g) = 22*l(g) - 2*u(g). Let p be d(-1). Sort p, 1, -6 in descending order.\nAnswer: 1, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 2. Let h(w) = -w**3 - 4*w**2 - 3*w. Let z = 0 + -3. Let q be h(z). What is the units digit of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14998, 3, 5 in decreasing order.\nAnswer: 14998, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:31 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 4*z**2 + 1 + z**3 + 0 + 0*z**3 - 6*z**2 in the form v*z**2 + d*z + j + r*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-2) - 13\/(-26). Let c be f\/(9\/(-7)) + 2\/3. Factor 3*s + 2*s + c*s + 0*s + 4*s**2.\nAnswer: 4*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 502, 1339, 3042, 5917, 10270, 16407?\nAnswer: 24634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1)*4 - sqrt(1331) - 6*(sqrt(704) + sqrt(704) + 1)**2.\nAnswer: -16898 - 159*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let h(c) = w - 1 + 4*c. Let l(y) = 4*y + 3. Let t(j) = -7*j - 5. Let q(m) = -5*l(m) - 3*t(m). Calculate q(h(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 726, 1081, 1436?\nAnswer: 1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156\/(-18) + 3\/(-9). Let p(g) = g**3 + 7*g**2 - 16*g + 25. Let n be p(y). Solve n*i - 5 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 32 = -3*a. Suppose -25 - 3 = -14*k. Suppose 4*i - 3*x = -5*x + 176, -k*i + 88 = -x. Calculate the remainder when i is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -11 + -8 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 30*k**2 + 232*k + 940. Determine h(-21).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -812, -815, -820, -827, -836, -847, -860?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389, -2718, -4047, -5376?\nAnswer: -6705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:39 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 371383200 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1596 divided by -749.\nAnswer: 228\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2869 and 8468231?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 + 222. Let r be t - 9 - (-4 + 1)*-1. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3047*u + 6100*u - 3053*u. Let l(r) = -1116*r. Calculate l(f(v)).\nAnswer: 1116*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204373?\nAnswer: 13, 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*w - 5*u + 3*u, -5*w = u + 98. Find the common denominator of w\/6*(-69)\/12 and ((-18)\/24)\/(3\/(-47)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2581*p**2 + 242869 - 242869 to z + k*p + u*p**2 and give u.\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 7665?\nAnswer: -765a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(156)*2 + -1*sqrt(156)*-2)\/(sqrt(60)\/(4*sqrt(245))).\nAnswer: 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2966 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3849 divided by -43\nAnswer: 3849\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 395 + 5\/(5\/1)*1. Calculate the highest common divisor of 88 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhphhphh. Give prob of sequence php.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3 + 90*z**2 + 386*z + 294 = 0?\nAnswer: -3, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5 - -70aa?\nAnswer: 71a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 - 2 - (-3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:56 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5562 - -5682. What is the remainder when y is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1244318.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 56*g + 186. Is g + 3299 + 4\/(-14)*-7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3936053\/3 - -1312031. Factor -16*s - 2\/3*s**3 - y - 6*s**2.\nAnswer: -2*(s + 2)**2*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*x + 22, 5495*x - 5492*x = -9. Solve -28*w = -24 - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 807.\nAnswer: -19\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:43 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 1384, 2245, 3106, 3967?\nAnswer: 4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571 (base 8) to base 11.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/80 + 8*w. Let s(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 3*a + 9, -2*a - 10 = 0. Let k = 485\/3 + -170. What is the common denominator of ((-4)\/(-30))\/(l\/(-140)) and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1321642667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 11153?\nAnswer: -11154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4030 is divided by 1326?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*m, 0*m + 4*m = -3*a + 124. Suppose 0 = q - 0*q - 6. Calculate the highest common divisor of q and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242\/17*h + 244\/17 - 2\/17*h**2 = 0. What is h?\nAnswer: -1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1)*2.\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/203433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1503?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = 20*g + 18*g. What are the prime factors of 705 - ((-60)\/g - 4\/(-28))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14328272.8 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -21.685.\nAnswer: -24.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**39\/(b\/b**(-6))**(-22) assuming b is positive.\nAnswer: b**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:44 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 12*q - 8 = 0, -p - 27 = 4*q - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.6 (c) 0.7 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n - 55*n = -2198*n + 84397 - 25469 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/6 - 10078*w. Let g(c) = 110*c. Give g(l(o)).\nAnswer: 220*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170439 (base 11) in base 4?\nAnswer: 1000132000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 150. What is u(-22)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Let l = 164 + -110. Let n = l + -51. Which is the nearest to n? (a) 0.4 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. What is the highest common divisor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -2\/11, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193555817305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -548*t**6\/5 - 1244*t**3\/3 - 2095*t. Find the second derivative of a(u) wrt u.\nAnswer: -39456*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/665 and -93\/1862.\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from fhfffefffhhhfehf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1173574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-1)\/(-16)*76. Let c = -0.8 - -0.3. Put y, -2, c in increasing order.\nAnswer: -2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 19?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -787*g**2. Let b(v) = -3674*v**2 + 2 - 2 + 0 + 3676*v**2. Give u(b(s)).\nAnswer: -3148*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + u**3 + 2*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1900) + 4 - (1 + (sqrt(1900) - (0 + sqrt(1900))))) + -4 + -1*sqrt(1900) + 1*sqrt(1900)*-1)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 18450 to the nearest 100.\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 - 7*k + 7. Let f be d(-7). Suppose 154 + f = -10*m. Calculate the remainder when 34 is divided by 2*1*(m\/(-4))\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -537*p**3 - 2695*p**2 + 12838*p + 240 = 0.\nAnswer: -8, -10\/537, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 265789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from {k: 8, p: 2, g: 4, l: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 + 6*f**3 - 7*f**2 + 12*f + 44. Let x be a(17). What is the greatest common divisor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 + -115. Let j = w + -124. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.99. Let s = -2\/549 - 181\/549. Let z = 136\/5 + -27. Sort n, s, z in decreasing order.\nAnswer: z, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171937613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34159 + 0.6.\nAnswer: 34159.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 342\/27. Let j = i + 15. Suppose 4*l = -k + 44 + 81, -3*l + 95 = j*k. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -40. Let c(b) = -b**2 - 4*b + 1. Let p be c(v). Let i(q) = -14*q**3 - q**2 + 2*q - 1. Determine i(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + (-65)\/(-2). Let y = x - 37. Which is bigger: 2\/9 or y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -859, -875, -907, -961?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose -2*b = -0*b + u*a + 51, -4*b = 3*a + 117. Let s = 43 + b. Solve -4*i + 2 - s = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.248 - -0.048. Let z = l - -3.6. Sort z, 0.5, -4 in descending order.\nAnswer: 0.5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 - 3)*(-25*u**2 - 20*u**3 + 25*u**2)*(0*u - u + 0*u) in the form q + a*u**4 + p*u**2 + r*u**3 + v*u and give a.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5824)\/(-637) + (0 - 9))\/(1632\/(-105) + 16).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 13 = -l, -4*l + 13*l = 16*p - 10*p - 75 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*d - 112, -48*d - 2*l + 3*l + 187 = -41*d + 6*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140080*p**2 - 6*p + 15322 wrt p?\nAnswer: -280160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:37 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -4, -5.4916, 4.\nAnswer: -5.4916, -4, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22345 + 22343. Which is the fourth smallest value? (a) 4\/15 (b) 4\/3 (c) 5\/9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -188352567.6?\nAnswer: -188352567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 + 1 = 0. Let b = -5 - -8. Solve -9*x + 9*x - b*x**3 - 3*x**d = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2319*a - 1835 with respect to a.\nAnswer: -2319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc + a43?\nAnswer: b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 52*g - 1. Let w = -5 + 4. Let j be s(w). Is j\/((-1)\/1*1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11.89. Let x = r + 0.09. Let w = 0.15 + 4.85. What is the closest to 2 in w, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 71184321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.82. Let d = -0.02 + h. Which is the nearest to d? (a) 0.5 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196448591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 39, 103, 193, 309, 451, 619?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -31887 + 6761. Let s = b - 648. List the prime factors of s.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0.2, -11 in ascending order.\nAnswer: -11, 0.2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i + 12. Let r be g(9). Suppose 41 + 3 = w - 2*m, -r = -4*w + 4*m. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -354, -1351, -2996, -5289, -8230?\n\"Answer: -324*x**2 - 25*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 10 + 0)*(2 - 2 + 2 + 3 - 1 - 1 + 4 - 3 + 0 + (-3 + 1 + 3)*(4 - 3 + 0) + 4 - 5 + 2 + 4 + 0 - 2)*(n + 0*n + n) to f + z*n and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0*j + 2*j**2 + 0*j**3 - 1\/6*j**4 + 0. Let h(q) = -291 - 10*q + 291 + 17*q - 6*q. What is z(h(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**1*b)**(-1\/15)\/(b**(1\/3)\/b)**(-11))**(-35))**(23\/3) assuming b is positive.\nAnswer: b**(18032\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7075*m*p - 83260732*m - 550*p wrt p?\nAnswer: 7075*m - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o + 5*x, -5*o + 61 = -2*x - x. Let j be (8 + -9)*(-8)\/4. Suppose -j*d = -7 - o. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3742479254?\nAnswer: 2, 1871239627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 322.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*d - 3*d - 62 = 0, -116 = -3*t - d. Calculate the remainder when 387 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860954 is divided by 943?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p + 2 + 2*p)*(15*p - 30*p - 29*p) in the form c + w*p + m*p**2 and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 150.\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46811 is divided by 240.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 39 - 2*s**2 + 3*s**2 - 42 - 3*s. Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let c = -8 + 13. Let f = 235.413 - 0.413. Let t = -232 + f. Sort t, -7, 1, c in descending order.\nAnswer: c, t, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 3. Let y(q) = -3. Let t(h) = -88 + 46 + 40. Let g(z) = -4*t(z) + 3*y(z). Let r(f) = 3*f + 1. Let m be r(-1). Give m*x(s) - 5*g(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/27, -2\/13, -34?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 - 47*a - 1091. Is b(-23) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20372 at least as big as 20362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 61*x**6\/30 + 77*x**2\/2 - 44*x. Let q(i) = 62*i**4 + 78. Let d(o) = -4*n(o) + 5*q(o). Differentiate d(u) with respect to u.\nAnswer: 264*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcip when four letters picked without replacement from qqpikciiqqq.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 12, 167, 2 in decreasing order.\nAnswer: 167, 12, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2.98, -0.22, 5?\nAnswer: -2.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 410 - 410. Suppose -3*i = 2*r - r - 404, m = i - 4*r - 139. Does 45 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10039 is divided by 3346.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - 130?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123, -254, -375, -480, -563, -618?\n\"Answer: s**3 - s**2 - 135*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136159584.\nAnswer: 2, 3, 11, 128939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244416 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*r + 87, -2*r = -4*o - 182 + 12. Is 25815\/21 + 12\/o 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 2808648523?\nAnswer: 17, 9718507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + 1 + sqrt(448)) + (sqrt(7) - (2 + sqrt(343))) + -6*sqrt(112))**2.\nAnswer: 576*sqrt(7) + 2524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.5. Let v = 0.06 - 0.46. What is the smallest value in -2, v, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 + 276. Let i = k - 71. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12607231 - 471?\nAnswer: -12607722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 419 in 456, -5, -0.2, -2?\nAnswer: 456","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33485 or 33484?\nAnswer: 33484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217 + (-4 - -1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**8\/3360 - h**7\/420 + h**5\/15 - 5*h**4\/12 + 6*h. Let d(n) be the third derivative of c(n). Factor d(p).\nAnswer: -2*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 38*w**2 + 656*w - 3173. What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983401 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2. Let b(l) = 6*l**2. Calculate b(m(a)).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3, 52, 4\/9, -0.01, -3, -4.8, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 66736 = 684*t + 870*t for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021496388 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 39*r - 2. Let f be i(6). Suppose 4*w + 0*w - 2*h + f = 0, 4*w + 232 = h. Let p = 109 + w. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 21*h**2 - 32*h - 21. Calculate p(18).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 147.43, -5, 3, 10 in descending order.\nAnswer: 147.43, 10, 3, -5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 152.588. Let g = q + -0.012. Let l = g + 5.5. What is the third smallest value in l, 4, -2\/3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27456)\/38896*85\/610.\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 0, -11, 3.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*w - 45. Suppose -7*l - 326 = -w*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471233618 minus -13685.3?\nAnswer: -471219932.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127781373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (138\/(-115))\/(1\/(-15)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041.256 rounded to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 59*x + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -523 - -5214. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 284?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -207915 - 110\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3803 divided by 2.\nAnswer: 3803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - -1 - -1 - (-3 - 42 - -52)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 27. Suppose -h = 5*f - 58. Let u = f - -18. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (6252\/(-22) + 0). Let q = h - 285. Let u = -15 - -15. What is the second smallest value in q, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1623204 by -12297.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 267 = -6*s + 9*k, -87 = -5*s - 5*k - 457 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 22*s - 59. What is o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 19 + (-5 - 0) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242)\/(sqrt(55)\/sqrt(5)))\/(sqrt(11) + (sqrt(11) - sqrt(11)*1*6) + sqrt(11)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100624934 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.06, -0.01, -1.2 in decreasing order.\nAnswer: 0.06, -0.01, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + -0.2. What is the second smallest value in c, 0.05, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:17 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m - 1. Let p(b) = -3*b**2 + 21*b - 2. Determine -5*d(g) + p(g).\nAnswer: 2*g**2 + 26*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332 - 327. Suppose -3*r + 2121 = 3*h, -t*r + 3*h + 1876 = -1667. List the prime factors of r.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.1, -2\/23, 6, -9971?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(3\/5)*z*z)))\/(z*z*z**(4\/7)\/z*z*z))**(-40) assuming z is positive.\nAnswer: z**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Let b(w) be the third derivative of -11*w**5\/60 - w**4\/12 + 2*w**2 + 121. Determine b(x(c)).\nAnswer: -11*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3666)\/(-2115))\/(2\/(-7 - (-1 - 1)))*-6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -3, 0.14, -0.5, -0.2 in descending order.\nAnswer: 3\/7, 0.14, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/9, -3, 7350, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.468 - 0.168. Let b = 0.45 - 0.05. Let r = 0.3 - b. What is the second smallest value in l, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 2 - 6 + 0 + 0 in the form v + j*t and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -8) - (2 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txx. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -323031 (base 4) in base 12?\nAnswer: -2239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 - 7*k - 10. Determine v(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5080.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1086943861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 870 = 36*y - 5*t, -t = 5*y - 4428. What is the remainder when y is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-10)\/15*825\/(-50) and 46\/8 + (-2)\/(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -506\/5 - -102. Suppose -10 = -4*d - 6. Is d at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**(-6))**(8\/7) assuming y is positive.\nAnswer: y**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 17*a + 4647. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -55. Let f(l) = -l**3 + 9*l**2 - 8*l + 7. Let w be f(8). Let u(g) = 1 + w*g - 2*g - g. Give u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-40)*33\/(-44).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 16, 2 in decreasing order.\nAnswer: 22, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-4) + 0 + (-6)\/12. Let n be 4\/1*h*(-7)\/84. What is the second biggest value in n, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(125) - sqrt(125)*-6) + sqrt(125))**2*-6 - (1*sqrt(125) + 4)) + 1 + 5.\nAnswer: -47996 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -2339.873.\nAnswer: -2340.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 - -323.3. Put -2, -0.11, r, 2 in descending order.\nAnswer: 2, r, -0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a6959 (base 16) in base 6?\nAnswer: -443540321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*f**3 - 15*f**3 + 0*f**4 + 66*f**2 - f**4 + 3*f**4 wrt f.\nAnswer: 48*f + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 4*u + 7\/6*u**3 + 1\/12*u**4 + 3*u**2 + 0. What is the remainder when 41 is divided by i(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5572161748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 0.5, -12, 2\/15, 5\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 356*h**2 - 87360*h - 8697600.\nAnswer: 4*(h - 151)*(h + 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -25*y**2 + 0 - 23\/30*y**5 - 41\/24*y**4 + 0*y + 0*y**3. What is the second derivative of s(z) wrt z?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdvv when four letters picked without replacement from {v: 6, w: 6, d: 7}?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14331?\nAnswer: 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2075, -2900, -2511, -302, 4333, 12000, 23305?\n\"Answer: 101*q**3 + q**2 - 1535*q - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/24 - f**3\/2 - 2*f**2 - 17*f. Let m(k) = k. Calculate m(u(i)).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715 + 1681 + (-4 - (-117 - 5))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818 = 300*u + 481 + 834 + 1767 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*-2)\/sqrt(10) - sqrt(52)) + sqrt(52))\/sqrt(4)*-5.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 + 4*k**2 - 9*k**2 - 5*k**2 to the form w*k**2 + x + v*k and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:51 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 16. Let z = 15 - o. Suppose -g = 5*d - 24, 0 = 2*g - z*g - 2*d + 24. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -97 (b) -9 (c) 1\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-27) + (-38)\/(-9). Sort 1, -1, u, 3.\nAnswer: -1, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**7\/105 + 127*m**5\/30 + 86*m**3 - 22*m**2. Find the first derivative of f(x) wrt x.\nAnswer: 8*x**3 + 508*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00704659 rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449720897.\nAnswer: 449720897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 19 = 5*d, 0 = -d - 4*v + 9*v - 1. Solve -p + 3*m = -7, -7*p + 3*m + 3 = -d*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5, 2\/5, -4, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a = -271*a - 623*a - 5383 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8923 times 0.5\nAnswer: -4461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4*t - m**3*t + m**3 - 26*m**2*t - 14*m*t wrt m?\nAnswer: 24*m*t - 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:00 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -631 - 551.\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14455 (base 6) in base 14?\nAnswer: -bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y + 684 = 63*y - 191*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 88?\nAnswer: 13\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q**3 - 413*q**2 - 2*q - 88. What is t(-59)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-12))\/(140\/120)*7\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - 1. Let o(d) be the first derivative of -3*d**2\/2 + 7*d + 1. Let v(f) be the first derivative of 2*f**2 - 10*f + 195366. Give p*o(r) - 5*v(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 553? (a) 5 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -14. Suppose 8 = 4*h + 2*x, -x + 10 = 5*h - 3*x. Which is the nearest to h? (a) -1\/6 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 8}. Give prob of sequence xx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {h: 2, a: 1, e: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*i - 130 = 0, -4*i = -k + 22 + 24. Suppose -10*u = -4*s - 13*u + 29, -5*s - 3*u = -k. Solve -s*q + 1 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - -2)*-1 - (-3 - -1). Let c be ((-3)\/(-5))\/((-42)\/392). Are t and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1546, -6194, -13940, -24784, -38726, -55766?\n\"Answer: -1549*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3580 + 5762. List the prime factors of r.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289907048 and 80?\nAnswer: 2899070480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -6*j**4 + 18118*j**3 + 60486*j**2 - 78558*j - 120920 = 0.\nAnswer: -4, -1, 5\/3, 3023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108340*i**2 - 1191704*i + 396 = 0. What is i?\nAnswer: -11, 9\/27085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-11)*n*n\/n**4)\/((n**(-1\/30)\/n)\/((n*n\/(n**(-9\/5)*n)*n*n)\/n)) assuming n is positive.\nAnswer: n**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*k + 2*r, r = -4*r - 5. Let l = 1214 + -1211. Suppose -d + 2*t = l*d - 2, -5*t + 34 = k*d. Solve -3 = 2*x + d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + ((-4531)\/(-345) - (-4)\/(-30)). Suppose 21699 = o*z - 6*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -27*v - 459. Let w be d(-17). Solve w = 10*q + 40 - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 1. Let g be c(1). Let a(u) = u - 1. Let q(i) = i - 2. Let h(d) = g*q(d) - 2*a(d). Let n(w) = w. Give h(n(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwakahz. What is prob of picking 1 f, 1 a, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2, -7 in increasing order.\nAnswer: -61, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002 - 6.7977645.\nAnswer: -6.7957645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 83 = -77. Suppose -s + 43 = c. Determine a, given that -16*a**2 + 4*a**s - 11*a**2 + a**3 + 7*a**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*l**2 + 2*l + 0*l**3 - 74 - 2*l**3 + 135*l**2 - l**3 in the form k + w*l + j*l**3 + s*l**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1456)\/(-2184)*12\/(-14)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5*c - 1611 = -5*j, -3*j + 963 = 3*c. Which is smaller: j or 325?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 10*c**2 - 11*c - 1. Determine a(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67867 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 52*i**2 - 187*i - 87. Let s be b(48). What is the highest common divisor of 234 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -388956 and -55?\nAnswer: 21392580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82394*u**3*v + 116*u**3 + 2*u*v + 2*u - v + 69 wrt v?\nAnswer: -82394*u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -217560, -435091, -652624, -870159, -1087696, -1305235, -1522776?\n\"Answer: -r**2 - 217528*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7 - 19 + 1 + 1657*g**2 - 1659*g**2 + 1.\nAnswer: -2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1321 divide 3017164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 4}. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 77. Let a(p) = p - 2. Let s(h) = 4*a(h) - v(h). Let g be s(16). Solve -9*b + g = -8*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 21\/(-3) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6738 and 666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 12 + 3. Sort 2, -4, y, -1.\nAnswer: -4, y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.762273m?\nAnswer: 1762.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (12 - 7) - -4) + -20 + 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 16. Suppose -7 = s - q. Let n be 2\/5 + 24\/(-10). Is n >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 1 - 1 + (-2 + k + 2)*(-1 + 3 + 1) + (14*k - 12 + 12)*(-3 + 1 - 2) to h*k + q and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*q**2 - 166 wrt q?\nAnswer: 152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 5*a**8\/336 - a**4\/2 + 9*a**2 - 29. Let i(v) be the second derivative of j(v). What is the second derivative of i(q) wrt q?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 793613277 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 103*c - 2. Let m be h(1). Let q be 1\/(2 - m\/51). Let r = -16 + q. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4501 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*i - 965, 0 = -0*i + 5*i - 15. Let k = 1499 + w. What are the prime factors of k?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2190986 - -2191033.000176. Let b = 47 - f. Round b to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272988915.\nAnswer: 5, 11, 1213, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-7553.\nAnswer: -30212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-4 + (18 - 6) + (-3 - -5))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12865224, -12865231, -12865238?\nAnswer: -12865245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687773.4 months in decades?\nAnswer: 5731.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 6:46 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -5\/24*h**4 + 1\/10*h**5 - 52*h**2 - 1\/120*h**6 + 0 + 0*h + 1\/2*h**3. Give w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 190619 and 8014933808.\nAnswer: 8015124427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111211201010 (base 3) to base 11\nAnswer: -176757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471563 is divided by 724?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1062*u**4 - 23*u**2 + 2*u - 2031533.\nAnswer: -4248*u**3 - 46*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75609540 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54808674.954 + -2894?\nAnswer: 54805780.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**3 - 63*j**2\/2 - 66*j - 425. Solve w(i) = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -684?\nAnswer: 71136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 277590 (base 10) to base 9\nAnswer: 462703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818 divided by -3?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -973*d**3 - 53 + d**2 + 2*d + 50 - 4*d - 954*d**3 + 1961*d**3 to the form g*d**2 + u*d + t + v*d**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53.1 - -53.3. Sort 1\/2, g, 0.648 in descending order.\nAnswer: 0.648, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47570199 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + n)*(4 + 0*n**2 + 2*n + 0 - 3*n**2).\nAnswer: -3*n**3 + 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 2. Let r = q - -1. Find c, given that 4*c**4 + c**2 + 4*c**3 - 6*c**3 - r*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 262*g**5\/5 - 102*g + 42. What is the derivative of i(k) wrt k?\nAnswer: 1048*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 4. Let f = -2 - -4. Suppose -4*d + 57 = -5*n, f*d = -n - 0 + 11. What is the smallest common multiple of d and c(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800088 and 6307?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 153 = 3*n, -5*n + 5 = x - 46. Let i = -30 + x. Let w(s) = -s**2 - 14*s - 2. Calculate the remainder when i is divided by w(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190595*m - 10336 = -190291*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588690 (base 11) in base 8?\nAnswer: 3437740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (594\/(-1089)*605\/(-44))\/((-6)\/16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 4*u + 25, 2*d + 5*u + 11 = 0. Let s be ((-3)\/d)\/((-1)\/(-14)). Let b be (-4)\/(-14) + 20\/s. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.75 - 1.35. Which is the biggest value? (a) u (b) -3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 125*v - 43846. Determine q(-156).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce - 0?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752)*2)\/sqrt(3))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 6 - (2 - -22 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((5 - 15) + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27910683 and 105440358?\nAnswer: 948963222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006882 to five dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 16*r**2 + 16*r + 35. Let c be u(-17). Suppose -1 = -c*v + 51*v. Let t = 5.09 - 5. What is the second smallest value in v, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 6*a**2 - 4*a - 22. List the prime factors of j(-7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(9)\/sqrt(3)*-1)**2 + 4.\nAnswer: 10*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 3*d + 10. Suppose 0 = 26*q - 29*q + 6. Let v be (q + 1)*20\/12. Let i be k(v). Solve -g + 17 + i = 4*n, 0 = -5*n + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-36)*(-1 - 2) + -2 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -5*g. What is the first derivative of -7 + 3 - a + g*a wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1179, -1854, -2543, -3252, -3987, -4754?\nAnswer: -5559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/90 and -65\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tssststttssssstsss. Give prob of sequence sss.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 280432 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 11665582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/2 - (-6 + (0 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 153432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 141. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -0.2, -2\/3 in descending order.\nAnswer: 5, 4, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = -4*v + 15, -v - 4*j + 8 = 0. Suppose 5*d = -f - 1, f - 4*d + 8 = v*f. Suppose -5*h + 153 = -f*w, -h - w + 2*w = -30. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 3 - 2*t**3 + t**3 in the form y*t**2 + c*t + p + a*t**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + 2*q. Let d(s) = 27*s. What is k(d(t))?\nAnswer: -2916*t**2 + 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3906\/5859)\/(3\/684*-2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(72) + 1 - sqrt(72)) - (-1 + sqrt(72) + 1)) + 3)**2.\nAnswer: -96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 405 - 11743\/29. Let u(v) = v**2 + 19*v. Let b be u(-19). Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111121332220 (base 4) in base 11?\nAnswer: -3192a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 + (-21)\/(-6). Suppose -69 = -2*c - c + t*g, -3*g = 4*c - 57. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 6*a. Let w be f(-6). Suppose w = 2*r - 0*r - 3096. Suppose 0 = -5*g - r - 452. Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**5\/40 - 5*b**3\/3 - 1. Let f(c) be the third derivative of s(c). Let n(h) = h - 22 + 22. What is f(n(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**0)\/l)**26*(l\/(l**4*l*l*l))\/(l*l**(2\/7)*l))**(-5\/19) assuming l is positive.\nAnswer: l**(290\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 - a + 4. Let i be o(0). Suppose u = 4*g - 0*u - 14, i = 2*u. Find the first derivative of -20 + 11 - 11 - g*q**3 - q**3 wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1103, 1670, 2237?\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + n)*(2 - 2 - n) - 1923*n**2 - 12040 + 12040.\nAnswer: -1924*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*y + 29 = 2*g, 0 = 5*g + y - 265. Is 53 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = 32*u - 58 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 15*i + 24 = 0. Suppose i*l + 9605 = 8*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g - 2. Let a be m(-1). Suppose 2*f - a*q + 2 = 0, -f + 0*f + 5*q = 6. Solve -5*u = -f*h + 4 - 2, -5*h - 5*u = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:25 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209293.\nAnswer: 7, 29, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -8 (c) 49\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-1) + (-2)\/(-1). Let g be (i - -12) + 0\/(-1). Let r = -2 - -7. Put r, 4, g in descending order.\nAnswer: r, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 12*i + 26 + 38*i**2 - 3*i + 0*i**2 - 36*i**2. What is m(9)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2359 = 7*a. Suppose 0 = 9*p + 112 - a. Calculate the remainder when 74 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.15 times -2.39?\nAnswer: -62.4985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -3\/7 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 11259*c**5\/10 - c**4\/3 - 5*c**3\/3 + 3*c**2 - 11. Let k be m(-3). Round k to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -244\/39 in -0.7, -2\/7, -2\/13, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y**2 + 193*y - 108*y - 87*y to the form c + t*y**2 + r*y and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-160)\/(-400) - 2\/(-10)*8. Let u(t) be the second derivative of t**5\/20 - t**4\/4 + t**3\/2 - t**2\/2 + 2*t. Determine u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.25, 3\/5, 2\/9, -1\/11?\nAnswer: -4.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 - 77*i + 36. Determine g(11).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 13*q + 21 = 0. Suppose 3*b + 3*t - 63 = 0, 4*t - t = q*b - 45. Calculate the smallest common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4\/5*n - 1\/5*n**4 + 4\/5*n**3 - 1 + 6\/5*n**2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:48 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213233211 (base 5) to base 14.\nAnswer: -19b554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - i)*(-2*i**3 + i**3 + 2*i**3) + 6*i**4 - 9*i + 9*i + 8*i**4 + 8*i - 8*i + (3*i**3 + 3*i**3 + 0*i**3)*(0 - 2*i + 0).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131 to five decimal places.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 + 3*l\/4.\nAnswer: 3*l*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1358354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1670, 1678, 1686, 1694, 1702, 1710?\n\"Answer: 8*c + 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2924 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 1. Let g be 60\/60 - (1 - -1). Determine k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 2173392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3791170*w**2 + 12304*w + 12304. Let g(m) = 3081*m**2 - 10*m - 10. What is -6152*g(i) - 5*j(i)?\nAnswer: 1538*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 15*h - h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Let y = d - -7. Suppose 0 = g - y - 10. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-113*p - 125*p - 614*p)*(-2 + 4 - 1).\nAnswer: -2556*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -4*k - 30 - 23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.566392 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(v + 0 + 0)*(-4 + 5 - 3)*(-3 + 5 + 0)*(-73 + 103 + 75).\nAnswer: -840*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 15. Let c be (9 + 3\/(-1))\/((-21)\/14). Is j(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 20. Let v be h(11). Which is the closest to -2? (a) -2\/5 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/4 (b) -5\/12874 (c) 0.4 (d) 20\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 3, m: 1, l: 2, n: 6}. What is prob of sequence ulmu?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - -3 - (-5 + 4 + -1). Let b be (-9 + 3)\/(-1 - g). Solve 0 = p - 0 - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4) - 4424\/1680?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgs when three letters picked without replacement from gsgrys?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*o + 125 = 0, -o + 155 = -5*w - 6*o. Calculate the common denominator of 291\/(-540) - w\/80 and 111\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y*y**(2\/9) assuming y is positive.\nAnswer: y**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3 - 6, -3*d + 4*s + 735 = 0. Suppose -23235 = -246*v + d*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 35. Let n be f*(0 - -1)*(-2)\/(-4). Suppose n*x + 5*t + 0*t = 535, 4*x = -2*t + 550. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*w**2\/4 + 1009083*w\/4 + 504585\/2.\nAnswer: -3*(w + 1)*(29*w - 336390)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1045*o**3 - 348*o**3 - 2*o - 354*o**3 - 337*o**3.\nAnswer: 6*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 + 92*l + 12. Let h(c) = -15*c**2 - 171*c - 24. Let w(b) = 6*h(b) + 11*s(b). Determine m, given that w(m) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/6*1). Let o be 559\/26 + 3\/(-2). What is the units digit of (o\/(-8))\/(s - 15\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*-1 - (-16848)\/1170. Is -81 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -5 + 3 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - k = -19, 27 - 66 = 3*c + 3*k. Let l be (6\/15)\/(c\/5). Let s = -25 - -49\/2. What is the closest to -0.3 in l, s, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11921 and 77.\nAnswer: 131131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4, s: 1, y: 6, u: 5}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1478 + 1487. Let o be 1\/(-1) + (-29)\/(-2). Factor -o*z**2 - 3\/2 + m*z.\nAnswer: -3*(3*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 7:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16*i - i**3 + 4 + 8*i**2 - 14*i - 9*i. Calculate l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-5 - -10)) + (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47400080 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 l(y) = 117*y + 14. Let b = 1870 - 1876. Let r(t) = -39*t - 5. Calculate b*l(f) - 17*r(f).\nAnswer: -39*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/7)*i*i*i*i)\/i**(-2\/25))\/((i**(10\/11)*i*i)\/((i\/i**17*i*i)\/i)) assuming i is positive.\nAnswer: i**(-25246\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 7784*r + 3120 + 272056088*r**4 - 272056094*r**4 + 176*r**3 + 966*r**3 + 5420*r**2 = 0. Calculate r.\nAnswer: -2, -2\/3, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 50 - 24*w + 7*w - 43. List the prime factors of j(-10).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 25 = 0, -22 = 2*c + 2*v - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 5292 = 10*m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/93472704 and 31\/324.\nAnswer: 93472704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2. Let w(c) = 15*c - 50. Give 75*d(a) + 3*w(a).\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - r + 661 = 0, 5*r - 189 = -4*z + 3*z. Let d = -153 + z. Factor -4 - 14*a - 5\/2*a**3 - d*a**2.\nAnswer: -(a + 2)**2*(5*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, 0.6, -3.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3981 divide 170526739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**3\/6 + a**2\/2 + 8*a. Let z be o(-14). Solve -3*c + 0*c = -z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a07 (base 16) in base 6?\nAnswer: 400343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 19*u + 2 - 10*u)*(0 + 3 - 1)*(21 + 13 - 3).\nAnswer: -2046*u + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*a**3 + 5*a + a - 2*a - 4*a - 807*a**3.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 21 + 50)*(0 + 2*k + 0)*(0*k**2 + 2*k**3 + 0*k**2).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 939 - 944 = 5*n, 2 = -2*n - 5*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 24*f**3 - 59 - 29 - 6*f**3 + 5*f**3 + 89 - 4*f as s*f + t*f**3 + h + o*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1801.83 and -2.\nAnswer: 3603.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10521*k**2 + 845*k**3 + 10521*k**2.\nAnswer: 845*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and -67\/19828?\nAnswer: 237936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**3 + 229*v + 4 - 221*v - 4 wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v + 18. Let b = 193 + -229. List the prime factors of k(b).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 8*t - 12*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*b + 5, 3*b - 3*x + 2*x + 3 = 0. Suppose -d + 9 = -2*d - 2*l, 5*l = -2*d - 23. Put 3, b, d in descending order.\nAnswer: 3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.654 centuries to millennia.\nAnswer: 93.9654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 7*m - 19*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -221, -57, 2, 15, 4 in descending order.\nAnswer: 15, 4, 2, -1, -57, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y. Let u(s) = y - 5 + 0*s - s. Give u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/3)\/(-2) - (-2 - -1). Let w(t) = -c*t**2 + 10 + 5*t**2 - 2*t**2 + 5*t - 14. Suppose 8*a + 25 = -23. Calculate w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**4*a*a*a**(2\/13)*a*(a**(-1\/4)*a)\/a*a\/(a\/a**(-5\/4))*(((a\/(a**(1\/4)\/a))\/a)\/a)**(-24\/7)*(a**0*a)\/a**(-2) assuming a is positive.\nAnswer: a**(1913\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33 - (-1)\/(-1) - 15\/5. Suppose 33*z = f*z - 12. Which is the fourth smallest value? (a) -1 (b) z (c) -5 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 24*y**2 - 20. Let k(z) = -z**2 + 1. Let f(c) = 80*k(c) + 4*m(c). Let t(n) = n. What is t(f(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhthttpttthwhttw. What is prob of sequence hphw?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 2:38 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) 2 (d) 29 (e) -3 (f) 795 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2693981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59580 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.47 * -6.\nAnswer: 26.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028 a factor of 550168735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/c**(2\/123)*(c\/((c*c**(-1\/72))\/c*c*c))**46 assuming c is positive.\nAnswer: c**(-44837\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -10. Suppose -6*a = -2*a - g. Let o = 122 - a. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37408 times 0.5?\nAnswer: 18704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)*k)\/k*k)\/(k*k*k**(-3\/7)\/k)*(k\/k**(-1\/4))**(20\/9))**(11\/3) assuming k is positive.\nAnswer: k**(1529\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 9*l**2 + 17*l + 24. Calculate n(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-16 - -6) + 8 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 11, t: 2}. What is prob of sequence httw?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214 + -2239262?\nAnswer: -2234048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.1, 1\/6, 33, 0.02, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -156, -305, -454, -603?\n\"Answer: -149*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1768 + 1793. Solve -3*k + 4*z = 23, -21*k + 16*k + 4*z = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -m + 5, -2*m - 3*u = -7*u - 18. Suppose -c = -7 - m. What is the smallest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*t + 14 = 62, -4*t = u - 12. Suppose -2*d = -a + 591, u*a - d = 8*a + 2371. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 + 264. Find the common denominator of (90\/1645)\/(x\/28) and -149\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 8397*y + 58843. Give o(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -12516.\nAnswer: 13767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 66 - 171. Is (43\/(-3))\/((-1)\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-8911)*-722*14\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -t + 7515, -451 = t + 5*a - 7978. Is 57 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (17 + -11 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1324 + 1324)\/(1\/(6\/(-4))*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (12 - 13) - -13) + 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/6*(868\/(-147))\/31.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -3.5. Let d = -2\/93 - -64\/93. Which is the closest to 2? (a) g (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.1. Let l = f + 0.2. Let j be 0\/((-2)\/(0 - 1)). What is the closest to 1\/3 in 1, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l - 6*l**3 + 2 + 2*l**3 + 7*l**3 + l**4 - 2*l**2 to the form z*l**3 + r*l**2 + h + m*l**4 + k*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k**2 + k - 3. Let t = 22 + -24. What is the hundreds digit of i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.014 (b) 5 (c) 56749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -411*w + 1579. Let o be a(-5). Which is smaller: o or 3636?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-5*v**3 + 5*v**3 - 3*v**3) + 4 - 5*v**3 - 4.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 + 253. Let v = o + -578. Solve -7 = 2*q + d - v*d, d + 4 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, z: 2, x: 10}. What is prob of picking 2 q and 2 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 77. Let f = n - 16. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7347930 and 2790?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85261 and 674.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, q: 1, y: 5, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 7.8\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose -v*r - 11682 = -4*r. Suppose -3*l - 2*l - 2*s + r = 0, -2332 = -2*l - 3*s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-442)\/(-65))\/((-2)\/(-145)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l**(-11))**(4\/9) assuming l is positive.\nAnswer: l**(-164\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2*r**2 - 2301. Let n(f) = -48*f + 27. Let x(g) = -g - 1. Let q(h) = 2*n(h) + 54*x(h). Calculate q(j(k)).\nAnswer: 600*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, 0, 17, -0.1, 0.047, 1\/35, 0.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d878 - e?\nAnswer: 1d869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**2\/4 - 1963815*o\/4 + 21600755\/2 = 0.\nAnswer: 22, 392741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g. Let m be (-3)\/15 + (-14)\/(-20). Which is bigger: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1\/6 (b) 443451 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-6)\/(-4) + 1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.6846 + -0.0046. Let k = v - 11.1. What is k rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269.985 + -269. Let o = w - -0.015. Is 0.4 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-30))\/((-2)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/14)\/z**(2\/79) assuming z is positive.\nAnswer: z**(51\/1106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 7*p**2 - 6*p + 2. What are the prime factors of c(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 10901098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 - (70 - 0)\/7. Solve -25 = y*a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-2)\/5)*-1. Let b(t) = t**2 - 3*t - 5. Let p be b(g). Suppose 4*s = -s - p. Round s to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 13*r - 14.\nAnswer: (r - 1)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*o - 124 = 0, -4*p + 0*p = 4*o - 168. What is the greatest common divisor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6756 - 0.0544. Let v = g + 0.23. Let t = v - -7.5. What is the biggest value in t, -7, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, -3\/5, 2\/13, -1\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27512.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -371. Suppose 4*w + 66 = b. Let r = w - 37. Solve -r*k + 4*i = -3*k + 3, 5*k - i = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1086\/(-9))\/(25\/(-75)). Suppose q - 182 = z, -4*z = -4*q + 2*q + t. What is the remainder when q is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 - 2*k**5 + 10*k**5 + (-2 + 3 + 3)*(3 + k**5 - 3) + 3*k**5 + 10*k**5 - 4*k**5 + (-2*k**2 + 3*k**2 - 2*k**2)*(2 - 2*k**3 - 2).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 4*q - 4. Let x(v) = 2*v**2 - 7*v - 7. Let k(w) = -7*u(w) + 4*x(w). Let z(b) = 15*b. Give k(z(o)).\nAnswer: 225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -7*s + 2*s + 2, 2*s - 8 = -4*x. Solve -3*g**x + 5*g**2 - 3*g**2 - 4*g + g + 4*g**2 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5779*o**3 + 32*o + 5782*o**3 - 31*o - o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i - 7*i + 0*i + 11*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 5 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -437*l**2 + 993 - 53 - 732*l**2 + 72 with respect to l.\nAnswer: -2338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -92*k - 6. Suppose 0 = -5*u - 3*f + 1, 0 = -0*u + 2*u + 4*f - 6. What is the tens digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.461 + 1412.\nAnswer: 1402.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -75. Let u be -26*(-4)\/(-168) - w\/9. What is the nearest to 1 in -2, u, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:39 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3036 divided by 6\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*v = 970 + 845 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let z(q) = -475373*q. Calculate x(z(u)).\nAnswer: -225979489129*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -191, 107, 0 in descending order.\nAnswer: 107, 15, 0, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than 0.387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163.7 + -143. Let h = 20.69999834 - s. Round h to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*y**2 - 46*y + 76247 wrt y.\nAnswer: 88*y - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*13\/26?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1395 or -23724\/17?\nAnswer: -1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334989 is divided by 82857.\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -2, 3402194 in ascending order.\nAnswer: -8, -4, -2, 3402194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 9, -4*q - 22 = 2*b - 4*b. Suppose 0 = -5*w + 12*w - 21. Suppose 2*n + 3*k = -0 - 3, -5*n + 3*k = -w. Put n, -2, b in descending order.\nAnswer: b, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85651651?\nAnswer: 85651651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -4*q**5\/5 + 5*q**3 - 6. What is the third derivative of v(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*-14 + 141. What is the highest common factor of l and 1554?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 3*d**2 + 0*d**2)*(3*d - 3*d + 2*d**2) + 595*d**3 + 513*d**3 - 6 - 1112*d**3 + 3*d**2 + 4*d**4.\nAnswer: 2*d**4 - 4*d**3 + 3*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 102*w - 7*w + 1536 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50966\/4497*6\/(-8)*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16388, -16389, -16390, -16391, -16392, -16393?\nAnswer: -16394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 5*s + 11 = 0, 3*s - 1 = 5*d. What is the closest to -0.2 in -3, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:31 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29328 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let f(a) = 5*a - a**2 - n*a - 3*a. Let j(i) = 2*i**2. Give j(f(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(30\/4) - 0. Which is the smallest value? (a) 6 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + 40*l**3 + 2*l**3.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 9, 5, 64, 0, -0.3, 20\/59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 198, -5 in decreasing order.\nAnswer: 198, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -542 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y**2 + (5*y**2 + 4*y**2 - 5*y**2)*(-2 - 1 + 1) + y**2 - y**2 - 3*y**2)*(2*y - y + 3*y).\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Suppose 0 = 2*r - 2, q = -3*q - 5*r + 5. Sort -4, q, k in descending order.\nAnswer: k, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 - 2*v**3 + 907477*v**2 - v + 11047090?\nAnswer: 12*v**2 - 12*v + 1814954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002561789 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -62657 times 3.4?\nAnswer: -213033.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 51714 = 32105*b - 31663*b for b.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270318 (base 10) in base 2?\nAnswer: 100110110001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 2632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/68 and 5\/46?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 19 + 8 + 5 - 4*s - 1 - 1.\nAnswer: -4*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*d**2 + 3*d**2 + 2*d**2 + 2*d**2 to the form s*d + b + q*d**2 and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/25? (a) 0.5 (b) 2\/13 (c) -45\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) - 8\/10. Let r = l - -1. Suppose 3*k + 2*o - 3 - 12 = r, -15 = -3*k - 3*o. What is the highest common divisor of 55 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158044 divided by -597\nAnswer: 158044\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35577214 is divided by 533.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h + 5. Let n be g(8). Let x be (-2)\/(-5) - n\/5. Let r = x - 12. Solve r*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12718803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161.9? (a) -72 (b) -1 (c) -0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 86751*u**2 + 20*u**3 - 4*u**4 + 86754*u**2 in the form i + b*u + g*u**4 + q*u**3 + d*u**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/f**(-2\/3)*(f**(-2\/3)\/f)\/f*(f\/f**(6\/13))\/f assuming f is positive.\nAnswer: f**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/105)\/2*(-117)\/150. Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -5*i + 5*n + 30, -3*i = -2*n + 38 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round 247.222 to 1 decimal place.\nAnswer: 247.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1985, -3969, -5953, -7937?\n\"Answer: -1984*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**4 + 1\/5*y**5 + 0*y**2 - 2\/3*y**3 + 0 + 2*y. What is the second derivative of n(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*t**3 - 468*t - 1.\nAnswer: 1224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(3*sqrt(5)) + 5.\nAnswer: sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6837 = -4*g - 2551, 0 = -2*g - 4*h - 4688. Let x = 9447\/4 + g. What is the common denominator of x and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 25*w**2 + 2*w - 57. Give z(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -218, 9, 3, 0 in descending order.\nAnswer: 9, 3, 0, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1016875 - 9?\nAnswer: -1016884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*k = 15, -4*a - 5*k + k + 12 = 0. Let b = -216632727\/2204 - -393161\/4. Let i = -21\/29 - b. Is i equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 1, q: 1, p: 1, w: 9, m: 1}. What is prob of sequence jmpi?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 962967 divided by -3\nAnswer: -320989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 11*y - 473. Find the common denominator of 6\/(-3) + 465\/54 and y\/(-24) - 86\/(-152).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:05 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 2:06 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 + 11*t**2 - 38*t - 13. Let s be b(-7). Let m = -8860\/7 - s. Let p be ((-1)\/(-2))\/(2\/(-12)). Put m, 1, p in descending order.\nAnswer: 1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - y. Let m be y\/((-6)\/(-9)) - -1. What is the second derivative of -3*v + 4 + m*v - 4 - 3*v**4 wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4744*c - 107681. Calculate i(23).\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11824\/4377 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -121 + 97. Calculate the remainder when 93 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -o - h, -4*h - 250 = -4*o - 2*h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.085677.\nAnswer: -0.214323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34717, -69438, -104159, -138880, -173601, -208322?\nAnswer: -243043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h*h\/((h\/((h\/h**1)\/h))\/h)*h)\/h))**(12\/13))**(-21)*(h\/h**0)**(4\/19)*h**2\/h**(1\/2) assuming h is positive.\nAnswer: h**(-18307\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5140 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5 + 165*y**4 - 318*y**3 - 6*y**2 + 321*y - 159 = 0.\nAnswer: -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*p + p - 9*p)*(-24 + 26*p**3 + 24) - p**4 + p**4 - p**4 in the form u + y*p**2 + v*p**4 + b*p**3 + h*p and give v.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/25))**(3\/8)\/(r\/r**(1\/9))**(-2\/113))**1 assuming r is positive.\nAnswer: r**(73373\/203400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 67 - 316 + 71 - 108 = 0 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.999996455 + 32. What is x rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26357 and -1561?\nAnswer: -41143277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, 5, 4, 3 in descending order.\nAnswer: 23, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(47 - 47 - 21*l) as x + j*l and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3388\/(-1089)*2016\/784?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -5 - (2 - 2). Suppose 2*j + o = -2*j. Let u = 0.06 + -4.06. Which is the closest to -0.2? (a) j (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(126)\/sqrt(7))\/sqrt(9).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03563 take away 125968.02?\nAnswer: -125967.98437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 3931952.6.\nAnswer: -4325147.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -6*s + 84. Let k(o) = o**3 - 22*o**2 + 23*o - 26. What is k(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 l when four letters picked without replacement from cccaalcclcaal.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/9 - 158*q**3\/3 + 4657*q**2 + 375408*q + 5645376.\nAnswer: (q - 264)**2*(q + 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14. Solve w = 4*i, -5*q - 5*i = -3*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {z: 4, o: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16522\/447 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90332 = -345*c + 70667 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 1. Let o(r) = -2*r**3 + 8*r + 2. Suppose -232 = 10*w - 212. Determine w*j(g) + o(g).\nAnswer: -2*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11212 - 4?\nAnswer: -11216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17643488 by -42824.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6316471937 and 3?\nAnswer: 6316471934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 9*i**5\/20 - 31*i**4\/4 + 36*i**3 - 66*i**2 - 284*i - 4. Factor u(n).\nAnswer: 3*(n - 2)*(n - 1)*(3*n - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m. Suppose y - 13 + 2 = m. Calculate the smallest common multiple of y and (-14)\/70*(-10)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*i - 66 = -0*o, 0 = -3*o + 2*i + 32. List the prime factors of 2346\/10 + o\/35.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3379775*36\nAnswer: -121671900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, -20, -2\/7, 3, -38, -3 in descending order.\nAnswer: 3, -2\/7, -3, -11\/2, -20, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - -1.5. Let o = n + -3.108. What is o rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24628, -24629, -24628, -24625, -24620, -24613, -24604?\nAnswer: -24593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 33. Let s = -126 + 287. Calculate the greatest common divisor of s and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 57*d + 172 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151797046, 151797042, 151797038, 151797034, 151797030?\nAnswer: 151797026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*d - 1307*d + 3*f = -235, 6*d - 4*d - f = 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96608, -187911, -279214, -370517, -461820?\n\"Answer: -91303*h - 5305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 - (-6051)\/1 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429810, 1428468, 1427126, 1425784?\nAnswer: 1424442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335159?\nAnswer: 11, 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u - 6. Let i be h(5). Let z be i\/3 + (-41812)\/(-12). Let v = -2231 + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsxn when four letters picked without replacement from {x: 1, y: 6, s: 2, n: 10, c: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*k**5 + 10*k**2 - 286*k?\nAnswer: 260*k**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3963 + 3963 + 564*h**3 + (h**2 - h + h)*(-3 + 3 + 2*h) + 2*h**2 - 2*h**2 + h**3.\nAnswer: 567*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 59*x - 63*x + 9*x - x.\nAnswer: -95*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -1660, -6, 5 in ascending order.\nAnswer: -1660, -18, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -18, -37, 5, -2, 2 in descending order.\nAnswer: 44, 5, 2, -2, -18, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 11*f**2 + 7*f + 32. Let l be v(10). What are the prime factors of (1 - -106*l) + (-11)\/11?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o - o**3 - 1\/3*o**4 + 5\/3*o**2 + 1\/3*o**5 + 0.\nAnswer: o*(o - 1)**3*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 12) + (0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 9. Let w be (-4*2 - 0)\/(-2). Let a be f(w). Let z(p) = -p**2 - 7*p - 7. What is the units digit of z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90\/(-12))\/(1\/2). Let w = f + 14. Let s be 72\/4*w\/(-2). Let p(c) = -c**2 + 11*c - 9. Give p(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2479 or 0?\nAnswer: -2\/2479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*(u*u**1)\/u)\/u*u*(u*u**(-2\/5))\/u*u*(u\/(u\/((u*(u**(2\/15)*u)\/u)\/u)))\/(u\/(u*(u**(-2)*u)\/u))*((u**(1\/3)\/u)\/u**(2\/13))**(-46) assuming u is positive.\nAnswer: u**(2566\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9337 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341398 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 4. Let p be c(-4). Suppose 2*x = -2*a - 8, -4*a = -3*x + p*x + 13. Sort a, 5, 0.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:24 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28873 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/279174 and 19\/6.\nAnswer: 279174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 23*u - 3. Let h(x) = -3*x + 9. Let y be h(6). Let d(v) = -v**3 - 10*v**2 - 7*v + 5. Let o be d(y). Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6393492 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-148)\/(-2)*1 + -2 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - n + 4. Let u(w) = -9*w**2 - 7*w + 5. Let y(a) = -4*a**2 - 3*a + 2. Let h(g) = 3*u(g) - 7*y(g). Calculate -d(k) + 6*h(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 1978377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 970354.9 centuries?\nAnswer: 97035.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 7*x**2 - 3*x - 2. Let o be k(6). Let r = o + -10. Suppose -r*y = -y. Let f(d) = d**3 + d**2 + d + 7. Give f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/15 - 106*j**4\/15 + 572*j**3\/5 - 5396*j**2\/15 - 48374*j\/15 - 13718\/5 = 0?\nAnswer: -3, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 + 2568*y**3 + 15516*y**2 + 23312*y + 10368 = 0 for y.\nAnswer: -4, -1, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f + 0*f + 651996 = 0, -4*m = -2*f - 2607996. Round m to the nearest 10000.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56564 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 2, c: 4, z: 3, o: 2, y: 3}. What is prob of sequence hyc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r - 71997. Let l be 4\/((-16)\/12) + r. What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*v + 120 = 5*t, -5*t = -2*v - 115. Let d be 1 + 690\/t + (-4)\/(-10). Let n(j) = j - d - 13*j**2 + 30 + 16*j**2. Determine n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1)\/(3\/2). Let k be (9\/3 + -4)*-3. Find t, given that 2\/7 - 2\/7*t**k - 6\/7*t + 6\/7*t**f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -1 (c) 67 (d) -1\/8 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2\/2*-1. Let m = 1 + 1. Suppose 9 = 4*z - r, -z = 2*r + m*r + 19. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibikbibkbk. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 + 122. Let s = 44685521 - 44685518.9999997. Let z = s + h. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:26 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-297)\/90)*((-144)\/(-10))\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - (-3)\/(-15)*-1. Let b(n) be the third derivative of 0*n - 1\/33*n**3 + 0 - 3*n**2 + 1\/330*n**5 + k*n**4. Factor b(p).\nAnswer: 2*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 221 = -1565. Let v = x + 195. Which is the second smallest value? (a) 1\/4 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -33. Let w be (-1 + -1)*-4*(-8)\/64. Sort z, 2, w in increasing order.\nAnswer: w, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (174 - 174 + 11*k)*(11 - 2*k**2 - 5*k - 13 + k + (-5 + 2 - 2)*(-3*k**2 + k**2 + 3*k**2)) to the form q*k + x*k**2 + b*k**3 + d and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 142*m + 41. Let w be f(28). Let u = -3.5 - -3. Which is the smallest value? (a) 3\/4 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -64, 2, 227, -3 in increasing order.\nAnswer: -64, -3, 2, 4, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 16) to base 11\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 6*a + 6. Let y be i(-3). Let t be 4\/((-4)\/y) + 0. Factor s**t + s**3 - 2*s + 5*s - 8*s**3 + 3*s**5.\nAnswer: 3*s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82861\/6 - 13865. Let m = 54 + i. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11267513 divided by 4\nAnswer: -11267513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(((n*n\/n**(-3\/5)*n)\/n)\/n)*n\/n**10*n**(1\/6))**(-1\/74) assuming n is positive.\nAnswer: n**(223\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207543 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 10*q + 5*a, 40*q - 41*q + 3*a = 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86\/45 - 9\/5. Which is the second smallest value? (a) 4 (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -4*l + 47 + 1\/2*l**2. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t**2 + 12. Let l be y(4). Let b = 195 - -128. Let r = l + b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16*-4*-7. Let g be (k - -7) + 2 + 1. Suppose 2*j = g*j - 16. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.756782 decades in months?\nAnswer: 90.81384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 24382\/5?\nAnswer: 24382\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 2*n**2 + 0*n - 3 - n**2 + 3 + (-n + 3*n - 4*n)*(-2*n + n + 0*n) + (11 - 4*n - 12 + 3*n)*(-6*n + n + 4*n) - 3 + 3 + 2*n**2.\nAnswer: 6*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(1860\/440))\/((-7)\/126*3)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(76)*-2 - -1*sqrt(76)\/(sqrt(36)*3))**2.\nAnswer: 2448739\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:09 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1828 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428744 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 - z**4 + 8*z**3 + 29*z**2\/2 - 11*z. Let f(n) be the first derivative of a(n). Let f(r) = 0. Calculate r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 + 10 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -416719 + 1?\nAnswer: -416718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:19 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 28*f**2 - f + 23. Let l be j(28). Let x(o) = o. Let v(s) = 2*s**3 + 12*s. Calculate l*x(h) + v(h).\nAnswer: 2*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/160)\/1*8\/(-10)*5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7710 + 3*u**2 - 213*u - 7710 to the form v*u + z + c*u**2 and give v.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + (-24 - 24) + 193?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 5*k - 1. Let q be f(4). Let t = q + 23. Suppose i + t + 1 = 3*x, x - 9 = -i. Solve -x*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001102 (base 3) in base 5?\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 2. Let j be 8\/3 + (-1)\/(-3). Let k be x(j). Let b be (0 + k)*15\/12. Let o(z) = -7*z + 6. Let m(i) = -8*i + 7. What is b*m(a) - 6*o(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 31023222?\nAnswer: 31023212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001757 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1839*d**2*g*v**2 + 297*d**2*v**2 + 161*d*g*v**2 + 521*d*v**2 + 2 wrt g?\nAnswer: -1839*d**2*v**2 + 161*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 - 103. Let g(f) = 89*f. What is g(u(z))?\nAnswer: 89*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + 12 - 113\/6 and 31\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 11*d**2 + 19*d + 28. Let n be l(-9). What is the nearest to 1\/4 in 2\/5, 0.5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(125)*1 - sqrt(125))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12299 and 732669?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1055 - -126?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -88*k**2 - 3076*k\/5 + 28\/5 = 0.\nAnswer: -7, 1\/110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8733 (b) 1\/3 (c) -33\/31 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12982 - -15655. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) 6 (c) -0.3 (d) 0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 163*d + 366 = -705 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3511 or 3521?\nAnswer: 3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590052?\nAnswer: 2, 31, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 37*l + 39. List the prime factors of w(25).\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2427 + 2774. Put -5, i, 1 in decreasing order.\nAnswer: i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d. Let y(f) = f**2 + 24*f. Calculate y(k(w)).\nAnswer: 81*w**2 - 216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, 51, -5 in descending order.\nAnswer: 51, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -17, 2881 in increasing order.\nAnswer: -17, 101, 2881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from kfllc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(42\/(-4))\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/143 and -149\/51540.\nAnswer: 7370220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 3 (b) -0.5 (c) -1\/5 (d) 2003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/63)\/((-12)\/(-108))*(-12)\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -a + 6*a. Let w be (77\/55)\/((-2)\/(-10)). Let d(j) = -9*j**2 + 7*j. Let i(f) = -8*f**2 + 6*f. Determine a*d(k) + w*i(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20920564 divided by 14?\nAnswer: -1494326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 47, 24, 1, -22, -45?\n\"Answer: -23*h + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -6061d?\nAnswer: -60620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-4\/5)*b))\/b)\/b*(b\/(b\/(b*b**(-2))))\/b)\/(b**14*b*b\/b**13) assuming b is positive.\nAnswer: b**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 2*u - 14, -27*u - 2*g = -32*u - 49 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 - 2*y**3 - 4 - 2*y**3 - 5*y**2 to b + c*y**2 + r*y**3 + s*y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1434 - 1426.6. Which is the smallest value? (a) -3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*l + 3*l. What is the second derivative of -l*d + 21*d**5 + 19*d**5 + 5*d wrt d?\nAnswer: 800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.547 * 0.1\nAnswer: -0.5547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.35 + 0.35. Let r = 16 + a. What is the closest to 1\/2 in r, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.7827 times -0.872\nAnswer: 6.7865144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 130. List the prime factors of 210 + (-19 + 13)\/(h\/2).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 54*l**3 - 11*l**2 + 7*l - 19. Is z(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 - -70. Sort 28, 1\/2, a in decreasing order.\nAnswer: 28, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0, -40.32, -5, -10\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*((-2)\/3)\/((240\/10)\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 3*v - 7 - 3*v**2 - 54*v + 6*v + 22*v as u*v**2 + q + r*v and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(468)*3 - sqrt(468)))\/sqrt(9))\/(5*(sqrt(576) + 1*sqrt(576))).\nAnswer: -sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/20 + 5*f**4\/6 - 3*f**3\/2 + 11*f**2\/2 + 565*f. Calculate a(-10).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - aa8?\nAnswer: -abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3306, -12865, -28788, -51075?\n\"Answer: -3182*b**2 - 13*b - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5096)\/448*(-79)\/((-17143)\/(-186))\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1449534\/3749 + -13046\/163. Solve d*l**2 - 3698\/23*l**3 + 16\/23 + 680\/23*l = 0.\nAnswer: -2\/43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/183 and -6\/3332735?\nAnswer: 9998205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 391 divided by 23\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (138\/(-18))\/(-9 - (-6066)\/675). What is the highest common divisor of 125 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559950 and 31425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26146 (base 7) to base 10.\nAnswer: -6943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-1)\/((-10)\/(-18)). Suppose 3*h - 4 + 16 = 0. Let g be h - -7 - (-27)\/(-7). Put 4, g, k in increasing order.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q + 7*q - 5*q)*(-4 + 3 + 4)*(1 - 1 + 1) in the form s + p*q and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 828*a - 783*a - 176 + 3641 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j + j**2 + 1\/4*j**3 + 0.\nAnswer: j*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/12 - 287\/(-4) is divided by 9\/(-6)*((-188)\/12 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(-5)*d)\/d)*d*d**2)**(-6\/7)\/((d**(-2\/17)\/d)\/(d*d**1))**45 assuming d is positive.\nAnswer: d**(15879\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88731, -88845, -89035, -89301, -89643, -90061, -90555?\n\"Answer: -38*r**2 - 88693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4150131\nAnswer: -4\/4150131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.1162 meters to micrometers.\nAnswer: 730116200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1478 and 1478?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394 - 567. Let w = a + 265. Let i = 6286 - 6254. Calculate the remainder when w is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35542 and 1.4.\nAnswer: -49758.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 808, -825, -2460, -4097?\n\"Answer: -y**2 - 1630*y + 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r - 384. Let d be a(50). Solve -h - 4*c - d - 1 = 0, 0 = 3*c + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2*w - 2 + 2)*(w - w - w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299223 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 7 - 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3767021.\nAnswer: 3767021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-609)\/420*-28 - 40.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018498861 to 7 decimal places.\nAnswer: -0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5\/2, 0.6, 4\/5, 1\/10?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/5 (b) -4 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.9976 - -22. What is k rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaba when four letters picked without replacement from {u: 4, b: 5, a: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 3792. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*r*y + f**2*y**2 - 817*f*r*y**2 - f*y**2 - 27*y**2 - 4*y wrt r.\nAnswer: -2*f**2*y - 817*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 84)*3*8\/96.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14874662.\nAnswer: 2, 11, 53, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = 3*k - 5*x, -k = -x. What is the second derivative of -2*d**3 + 43*d**k + 7*d - 6*d - 25*d wrt d?\nAnswer: 246*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 - w - 4. Let x be j(-6). Let h = 2 - x. Let p = 11 + h. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 12*v + 98 = 0. Suppose v*p - 3188 = 452. What is the highest common divisor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/2 of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3486 and 0.3.\nAnswer: -3485.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*a - 66591, 2*j - 2*a - 106643 + 40067 = 0. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2080 - 13736 = 4*m, -3*s + 17429 = 5*m. List the prime factors of s.\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 + -5.7. Which is the smallest value? (a) w (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658411767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**2 + 13012292*o - 6506148.\nAnswer: 4*(o + 1626537)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:25 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979276 is divided by 195855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2062 - 1397. Is (b + 2 - -2) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 6. Suppose 11*i = f*i + 210. Suppose -18*s + 16*s = -i. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 0*v. Suppose -4*o + 17 + 7 = 0. Let p be (4\/(-4))\/(2\/o). Sort 2, p, v in decreasing order.\nAnswer: v, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15066 by 3.\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.647702342 to 3 decimal places.\nAnswer: 1.648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:32 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -226 - -190?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 142, 312, 550, 856, 1230, 1672?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9153 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y = 144*y + 2*d - 20, -2*y = -d - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564012 divided by 4.\nAnswer: 141003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45430, -90897, -136446, -182119, -227958?\n\"Answer: -7*c**3 + c**2 - 45421*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/410 and -65\/42312.\nAnswer: 211560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13519222 to the power of 1\/2, to the nearest integer?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/40)\/(72\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 53664.2.\nAnswer: 21465.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 177337501783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.758583 years to centuries.\nAnswer: 0.01758583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/4 (b) -11.31 (c) -2\/9 (d) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p - 54. Let v be m(-16). Suppose -6 = v*j - 60*j. Suppose -41 = -n + j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9312*y + 176514 + 4271 = -7409*y for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l - 13\/105*l**7 + 0*l**5 + 0*l**3 + 0 + 52*l**2 + 11\/24*l**4 + 1\/60*l**6. Find the second derivative of k(v) wrt v.\nAnswer: -312*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x + 37. Give t(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17059 divided by 78.\nAnswer: 17059\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-280532.\nAnswer: -1683192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**5 - 438677*c**4 - 1161174*c**2 + 7 wrt c?\nAnswer: -600*c**2 - 10528248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) -2 (c) -3 (d) 51 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*t = -23, -8 = -t - 3*t. Let u be -224 - x - (-1 + 0). List the prime factors of (u\/(-8))\/(2\/4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77*(1\/3)\/((-443)\/1329)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 671, -2, 86\/437?\nAnswer: 671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*k + 10, 1042*k - 1048*k = -5*g + 23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) 0.73 (d) -59879\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118852932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 5 (c) -0.2 (d) -826 (e) 1\/4 (f) 0.49 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 987.804 decades?\nAnswer: 98.7804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217492106 to the nearest integer?\nAnswer: 14748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:15 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 5*n + 0*n + (2*n - 3*n + 0*n)*(-6 - 4 + 18) + (3 + 0 - 4)*(2*n + 3*n - 3*n) as x + j*n and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91640, 183235, 274822, 366395, 457948, 549475, 640970?\n\"Answer: -q**3 + 2*q**2 + 91596*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*f - 24, f = -t - f + 11. Suppose -5*k + 2*k = -t. Let m = 0.1 + -0.5. Which is the third smallest value? (a) m (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 2, m: 1, s: 1, a: 2}. What is prob of sequence mav?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19747, -19622, -19495, -19366, -19235?\nAnswer: -19102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1195668.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 7*c**6\/6 - 23*c**5\/4 - 95*c**4\/4 - 85*c**3\/6 + 25*c**2 + 6*c + 3. Factor d(t).\nAnswer: 5*(t - 5)*(t + 1)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6870)\/(-210) + -31)*(-2)\/((-2)\/7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let s be 5*(0 + 6\/10). Let i(a) = 7*a - s*a - 10 + a**2 - 3*a. What is i(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085*-1.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*r = -0*h + 29, 0 = -4*r + 20. Suppose -w - w + h = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k - 40*k = 1047. Let l = 365 - k. Solve l = 9*z - 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**2 + u**2)*(-4 + 5 - 3) + (-364983 + 229*u + 364983)*(-3*u**2 + 5*u**2 - u**2).\nAnswer: 227*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k + k. Let z(y) = 4 - 13 - y**2 - 4 + 2*y + 10*y. What is the least common multiple of k and z(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492950.3 decades in years?\nAnswer: 4929503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 608 = 5*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 + 7*v + 5. Suppose 0 = -4*t - t + 15. Suppose 0 = -t*r - 3*q + 30, 0 = -0*q + 4*q - 20. Suppose r*j + 6 = -14. Give s(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2068?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 201*z + 3208. Give b(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r - 20, -d + 4*r = -22. Suppose 0 = -3*x + t + 64, -d*t = -2*x + 3*t + 47. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-11) - (-4)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 122001000?\nAnswer: -121222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6625686*i + 309*i**2 - 6625686*i.\nAnswer: 309*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = 14866 - 14580 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from qaaow?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/9)\/5*(-15)\/(-55)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672 + 674. Suppose -3*f - 1 = -3*a + 26, -5*a + f = -45. Solve o = -b*o + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 995 + -566. Let b = -208 + u. Suppose 4*l - b - 31 = 0. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37206428.\nAnswer: 2, 7, 127, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*k = -187*k. What is the third biggest value in -1\/5, -1.92, k?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -677*q**2 - 2*q - 1. Let p be o(-1). Let m = -452 - p. Suppose m = 4*d + 20. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) -8 (d) 90 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 652226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22.0881 times 25\nAnswer: 552.2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278807 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10207\/35010 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 6. Let b be m(-4). Let n = 37 - 4. Suppose b*v + n = 5*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b - 5*b - 1 + 2*b. Let q = -6 - -5. Let f be s(q). Solve 5*w = f*z - 1, 3*w = 5*z - w - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*s**2 + 60*s + 410682 wrt s?\nAnswer: -332*s + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 + 165*v**2 - 500*v + 400. Let t(q) = -3*q**3 + 110*q**2 - 334*q + 266. Let c(d) = -7*j(d) + 10*t(d). Solve c(o) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 99. Let r = -0.63 + 0.03. Which is the nearest to 1? (a) r (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a26 (base 11) to base 9.\nAnswer: -13578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 860*h + 859*h - h**3 - 209*h**2 to w*h**3 + y*h + l*h**2 + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*j**3 - 135*j**3 - 2*j + 2*j**2 + 1835*j**3.\nAnswer: 1864*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrjrrwrrccrcrcr. Give prob of picking 2 c and 1 r.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:27 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1) - 24\/(-13). Let c be (-33 + 20)*5\/((-260)\/8). Sort 3, c, -0.2, s in ascending order.\nAnswer: -0.2, s, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 35*q - 41. Calculate the least common multiple of w(-10) and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7296 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1883812425, 1883812429, 1883812435, 1883812443, 1883812453?\n\"Answer: x**2 + x + 1883812423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:30 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928640 a multiple of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 8, y: 4, g: 1}. Give prob of sequence gy.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 7*u + 0*u**2 - 11\/6*u**3 + 0. Let n(i) be the second derivative of i**4\/12 - i. Determine n(s(r)).\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*h**2*k*s + 131*h**2*k + h**2 - 28*h*k*s - 67*h - k*s + 3*k - 2*s wrt s.\nAnswer: -163*h**2*k - 28*h*k - k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(75) - (2 + sqrt(75))**2) + (-1*sqrt(243))\/sqrt(9).\nAnswer: -158 - 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 7*v + 4. Suppose -7*m + 3*m = 20, -5*t + 2*m = -50. Let f be i(t). Let n = 3 - f. Solve 4*y = 2*z - 6, -2*y = z + n + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(1 + -3) - -2. Let l(h) be the third derivative of -1\/240*h**j + 0 + 1\/480*h**6 + 2*h**2 + 0*h + 0*h**3 + 0*h**4. Factor l(o).\nAnswer: o**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264 + 270 - (-8 - (-1 + 0))) + 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.959 + 98. Let c = -158.941 + 159. Let o = d + c. What is the biggest value in 3, 1, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212168413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132088 is divided by 11005.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(500) + sqrt(500)*-2 + (sqrt(500) - (0 + sqrt(500) + sqrt(500)))*-6)*2 + 3 + -3)*5)**2.\nAnswer: 10000*sqrt(5) + 1250100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 707600 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.82175 - -0.12765. Let n = m - -0.69. Round n to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*j = 9, -4*q - j + 18 = -0. Suppose 3*b + 2*a - 6 = 0, -11 + 1 = -q*b + a. Suppose g - 60 = -b*g. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/165)\/((-4)\/(-354)) and -13\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11205432977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l - 568. Let n be t(21). Solve 0 = 5*m - n, -2*p - 5*m + 11 = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s + 87. Solve -22 = -3*h + 5*q, 0*q = h + 5*q + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121540162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/117 + (4\/(-6))\/(15\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + (-8)\/16. Suppose y = -g - 3 - 2. Sort 0, 5, g.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-261)\/(-54) - (-2)\/12. Let n(p) be the first derivative of -8*p**3 - 4 + 5*p**4 - 2*p - 6\/5*p**b + 6*p**2. Factor n(y).\nAnswer: -2*(y - 1)**3*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 155 = 16*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 26*t - 53. Let d be u(-28). Suppose 322 = d*r - 104. Which is smaller: r or 143?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 13*k**2 - 16*k - 53. Let i be c(-12). What is the nearest to 0.33 in i, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 230*a**2\/9 + 304*a\/3.\nAnswer: 2*a*(115*a + 456)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/4 (b) 68 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*l - l. Suppose 5*w - 15 = -l*h, 5*w - 17 = -h - 2*h. Let b be -1 - (-2 - (h - 0)). Solve 4 = -2*p - b*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**6 - l**5 + l - 1. Let a(v) = -16*v**6 - 6*v**5 - 51*v**2 + 6*v - 6. Let c(b) = a(b) - 6*f(b). Find the third derivative of c(d) wrt d.\nAnswer: -2640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*42\/4. Let o = j + 17. What is the tens digit of (-5 + o)*(-6)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321 + -320. Which is the nearest to d? (a) -4 (b) -7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 2*b - 3. Let u be o(3). Let m = -3 - u. Let t = 18 - m. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - r + 0*r**2 - r**3 - 2*r**2. Let f be h(-4). Suppose 0 = -4*k - 3*u + 1027, 0 = -f*k + 3*u + 844 + 201. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 + 7*f - 2. What is w(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 16*r - 15*r, -5*w = 5*r + 35. Let g(m) = m + 1. Let c(b) = -2*b + 7*b + 8 + 2*b. Let y(a) = c(a) - 4*g(a). Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50777.622 minutes in weeks?\nAnswer: 5.0374625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a + 25. Let y = -3 - a. Suppose -3*l = y*l - 165. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12788 = -4*h, -4*n + 0*h = h + 12778. What is the remainder when 4\/(-26) - n\/65 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14216*r*u**3 - 21908*r + 2*u**2 with respect to u.\nAnswer: -42648*r*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k)**(10\/3)\/(k**(-2\/11)\/k**(2\/13)) assuming k is positive.\nAnswer: k**(-1382\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - -5*(sqrt(2299) - (sqrt(2299) - (sqrt(2299) + 1)))) + sqrt(2299) + sqrt(2299) + sqrt(2299)*-3*-1 + -4)*2)**2.\nAnswer: 968*sqrt(19) + 1112720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2676920 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49367377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34fe4 + 5?\nAnswer: 34fe9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1012 + 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and 2253267.\nAnswer: 2253267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/21*60)\/((-8)\/(-4396)). Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -149*r**2 - 5*r + 5. Let f(p) = 149*p**2 + 3*p - 5. Give 2*a(q) + 3*f(q).\nAnswer: 149*q**2 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (2 + 1))*7\/(-14). Is t != 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/24 and 83\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*y**4 + y**3 - 6*y**2 + 9*y wrt y?\nAnswer: 6144*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 21, -2\/141, 14, -7?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 9. Let o be 0 + (-20)\/(-6) + n. Let u = 12 + -17. Which is the nearest to o? (a) -4 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62455 is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3366775, -6733552, -10100329, -13467106, -16833883, -20200660?\nAnswer: -23567437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 421947179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-18)*(2 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 432 - 7. Suppose x - 2310 = -5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 52*n + 61. Let u(a) = 53*a + 60. Let h = -165 - -162. Let y(p) = h*f(p) + 2*u(p). Differentiate y(j) with respect to j.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95523581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*x + 18, -2*p - 58 = x - 50. Calculate the greatest common divisor of 10 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*v = v - 205465, -3*v = 2*h + 82156. Round h to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 13*q - 396. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208830 to the nearest 1000.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6247*v + 3 - 17 + 1573*v + 8)*(-2*v**2 + 4*v**2 + 0*v**2).\nAnswer: -9348*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 5*b + 374. Put 3\/4, -2, 2\/15, b in ascending order.\nAnswer: -2, 2\/15, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2132 and 56914.\nAnswer: 4666948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/20 + s**4\/6 - 20*s**3\/3 - s**2\/2 + 12*s + 3. What are the prime factors of g(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/6*(-380)\/100.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282591 divided by 154?\nAnswer: 282591\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12476, -12280, -11948, -11474, -10852, -10076?\nAnswer: -9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 6:36 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -37, -152, -375, -742, -1289, -2052, -3067?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-84))\/((-6)\/8*(-122)\/183).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -6)\/(2 - 4). Suppose -p - 2*f + 13 = s, -12 = -3*f - 0*f. Let d = 9 - p. Solve 2*l + 15 = -3*i - 5, 4*l + d = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 13. Suppose -4*a + 3 = -5. Let g be (-1 + 1 - a)*(1 - 2). Solve -3*i - 1 = g*u + w, 3*u - 3*i + 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 5 + 11 - 2*v - 8.\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/5 + 9*m**3\/5 + 18*m**2\/5 - 24*m\/5.\nAnswer: -3*m*(m - 4)*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 177.36 * -2747.9\nAnswer: -487367.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15122.77676 rounded to 1 decimal place?\nAnswer: 15122.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -136*-12.4\nAnswer: 1686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7558 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/48 - i**5\/15 + 5*i**4\/12 + 7*i. Let h(y) be the third derivative of g(y). Find the first derivative of h(q) wrt q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.567 + -1.567. Let z be 3\/84 + (-6)\/21. Which is the second smallest value? (a) u (b) 2 (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13530 divided by -2706\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-35)*-5 + (-3264)\/(-448)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:36 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*z - 6437 - 2477 = 314 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1.3, 479.1485?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5121*p + 1279*p + 1282*p + 1282*p + 1280*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = 2*w, -4*w + 2*w - 2*j - 4 = 0. Let l be (-4)\/w - (4 - 96\/18). Solve 0 = 2*v - l - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 10*a + 1. Give i(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -153.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6 = -g, 9*g + 4*q + 9 = 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (61\/(-15) - 3\/9). Which is the fourth smallest value? (a) 20 (b) -2\/11 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 31*q - 289. Determine u(-16).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6700\/(-640))\/(-67)*(-4)\/(-5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 34*f + 240. What is v(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1680)\/(-800)*-5)\/((-1)\/(-4)*2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188851\/6 - 31475. Let b(n) be the third derivative of 0*n**3 - 1\/60*n**5 - a*n**4 + 0*n + 0 + 9*n**2. What is j in b(j) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 = -9*i - 615 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 3*t. Factor t*r**2 - 2*r - r + 2*r - r**3.\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -17 - 7. Let i be (-4)\/1*((-6)\/(-3) - v). Let m(a) = 2*a + 11. Let w be m(i). Calculate the highest common divisor of w and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Suppose k = 4*m - 4*d - 268, -m + 85 = 3*d + 2*d. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-12)\/(v**1)**(-47))**(-13\/3) assuming v is positive.\nAnswer: v**(-923\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 7*m - 4. Suppose 3*z + 32 = 4*t, 2*t = -4*z - 8 + 24. Let x be l(t). Is (-1 - 0)\/(x\/(-148)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.019 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + l - 1. Let x(j) = 12*j**2 + 6*j + 1. Let i be x(-1). What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 166*o + 6545. What is the lowest common multiple of 6030 and j(-14)?\nAnswer: 42210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Let o(r) = -4508348*r. Determine o(a(s)).\nAnswer: 9016696*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*(w**0\/w)\/w*w**(1\/2)*w*w**(-2)*w)\/((w**(-7\/4)\/(w\/(w*(w**(2\/9)\/w)\/w*w)))\/(w*w**(2\/5))**(-2\/81)) assuming w is positive.\nAnswer: w**(4849\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/728 and 9\/425560?\nAnswer: 38725960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 177601138, 355202271, 532803402, 710404531, 888005658?\n\"Answer: -u**2 + 177601136*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45323 >= 45322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 479 = f + 3*y, -4*y = 4. Let q = f - -403. Calculate the smallest common multiple of 74 and q.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26528 + -19571. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q - 4*q + 4*q as b + h*q and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-45)\/(-55) + (-6)\/(-33) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/368*-72*1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -12c3?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1398 + -1396. Which is the fourth biggest value? (a) 3\/7 (b) m (c) -43 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -58. Suppose -36 = -2*x - 5*z - y, 0 = 2*x + 2*z - 16. Solve 4*i - 16 = -4*t, x*i + 2 = 5*i - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g + 5*g)*(0*g - 3*g + 4*g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyrrgrvyogg. Give prob of sequence yy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 222211 (base 3) to base 14\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + z)*(2*z + 2*z**3 - 2*z) - 3*z**4 + 2*z**4 + 0*z**4 + 3*z**4 + 8*z**4 - 3*z**4 + (4*z**3 - 6*z**3 + z**3)*(-2*z + 2 - 2) - z**4 + 2*z**4 + z**4.\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1887 + -1?\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -13, -5, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (27\/(-4))\/(3\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + 2.09. Let b = t + -1.6. What is the third biggest value in -2, b, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpbkqqckkak. What is prob of sequence bc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -9. Let s = g + -5. Let f be -1 + 3\/s - 5. Which is smaller: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35784.97 - -35936. Round y to zero decimal places.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/121 + 2\/11. Suppose -5*x + t = -19. Is 20\/25*50\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6100*v - 5682*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1180 = -4*o, 295 = o - 4*x + 5*x. Let t = o - 159. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 9. Is 934*(6\/g + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/10 + h**5\/20 - h**2. Find the third derivative of u(g) wrt g.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54423116 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 5. Suppose -2*a - 22 = 2*g - 4*a, 4*g - 5*a + 42 = 0. Let q = g - -7. Let w(x) = -5*x - 4*x - 6 + 3*x. Determine q*w(t) + 7*k(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 5*l + 8. Let g = -95 + 92. Let r be n(g). Suppose k - 197 = 4*x, -5*k + 212 + 751 = r*x. List the prime factors of k.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 12:53 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 3, g: 1, t: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(32))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104b (base 14) in base 6?\nAnswer: 21003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 27*w**3 + 10817. Let a(m) be the first derivative of m**3\/3 - 2. Calculate r(a(n)).\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let v(f) be the third derivative of f**5\/4 + 2*f**2 + 39*f. Let q be v(o). What is the greatest common factor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262588 at least 6262589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -107. Let u be (-7)\/8 + d\/(-12). Which is the closest to u? (a) 0.07 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 11*m**2 + 9*m + 8. Let q be n(-7). Let z = q + 206. Solve -d - d - z*l = -18, -4*d + 5*l = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 20 (c) 0.2 (d) -279 (e) -0.4 (f) -106\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1 + 60. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*y**2 - 35*y**2 - 35*y**2)*(-3 + 1 + 5).\nAnswer: -141*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 3.4. Let s = 5 - o. Let y = s - 7. Which is the third biggest value? (a) -5 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195117109.\nAnswer: 11, 17, 251, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*b + 18081 = -301*b. What is the remainder when 579 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 266*l**3 - 2241*l**2 + 2242*l - 2. Calculate o(1).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 3, e: 4, v: 6, b: 1, a: 3}. Give prob of picking 4 e.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17*z**2 + 6*z - 5. Let u be k(5). Suppose -7*o - 15 = -2*o. Let i be (30*-12)\/(o\/u). What is i rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 3*h + 5. Suppose 4*u = 9 - 29, -3*u - 17 = -2*m. Suppose -4*g = -19 - m. Suppose 0 = 2*k + k - g*j, -k + 3*j = -4. Calculate o(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/4011 and 36\/77?\nAnswer: 44121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 3. Let y be m(3). Let o be (-2)\/(-1 + y) - 0. Solve o*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 9*b - 3*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2112222 (base 3) to base 8\nAnswer: -3506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1)*5)**2 + sqrt(396) + (-3*(sqrt(704) + 1))**2.\nAnswer: -150*sqrt(11) + 16270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 14*k + 1. Suppose -4*s - 14 = -5*s. Let q be l(s). Let o be 2\/q*(-7)\/28*2. Is 3 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -229ba48 - 3b?\nAnswer: -229ba87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1*5*(-149043)\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301423 (base 5) to base 9.\nAnswer: -14161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-55)\/(-75) - (-4)\/3. What is the nearest to -0.1 in -1\/4, m, -4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {r: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let j = -38 + 27. Let m(c) = 2*c**2 + 34*c + 3. Let x(i) = 5*i**2 + 74*i + 7. Let y(t) = -7*m(t) + 3*x(t). Give j*n(z) + 2*y(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1293?\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 (base 6) in base 15?\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 308413?\nAnswer: -10486042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372574.\nAnswer: 2, 107, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 555, 1450, 2761, 4488?\nAnswer: 6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13161155.\nAnswer: 5, 7, 53719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.4 and 35.0831 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 42\/(-12))\/(2\/36). What is the first derivative of -c - 4 - 22 - 18*t**4 wrt t?\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935 - 9716*x - 935.\nAnswer: -9716*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - 5*(sqrt(1088) - (sqrt(1088)*-1 - sqrt(1088))) - sqrt(1088)) + (sqrt(1088) + 0 + sqrt(1088))*5 + -1*sqrt(1088)*1 + 0)**2 + 2.\nAnswer: 39170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*h = 3*u - 6, -10 = -5*h - 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 7*v**4 + 2*v**4 + (0*v**2 + 0*v**2 - 2*v**3)*(2*v - 1 + 1) + 4*v**4 - 3*v**4 + 0*v**4 + 9*v**3 - 9*v**3 - 2*v**4 + 2*v**2 - 2 + 2 - 2*v**4.\nAnswer: -9*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11098, 11113, 11126, 11137?\n\"Answer: -b**2 + 18*b + 11081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**31*w\/(((w*w\/(w**(-19\/2)\/w*w)*w)\/w)\/w*w))\/(((w**(-31)\/w)\/w)\/((w**4\/w)\/w)) assuming w is positive.\nAnswer: w**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 - 7*x - 4. Let p be k(-5). List the prime factors of -4 - (-4 + p + -180).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - o**4 + 0*o**4)*(-2 + 0 - 1)*(2*o + o + 0*o).\nAnswer: -27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**3\/6 + 7*m**2\/2 + 3*m. Let j be d(6). Suppose 0 = -2*n - 3 + 11. What is the highest common divisor of j and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -648?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -10 + 9 + (3 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348905*w + 348918*w + 348900*w - 1046749*w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j**4 + 2482*j**3 - 7407*j**3 + 2473*j**3 + 2*j - 2*j**2 + 6 + 2469*j**3 to y*j**2 + b*j + a*j**3 + o + r*j**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 6*r**3 + 27\/4*r**2 + 3\/5*r**5 + 1\/20*r**6 + 0 + 6*r + 11\/4*r**4. Determine t so that p(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (4 + (-2 - -4)). Let l be 185\/(-25) - (-6)\/h. Is (2\/(-3))\/(l\/1068) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -1629, -2442, -3255, -4068, -4881?\nAnswer: -5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 63*i**2 + 38. Let p(f) = -31*f**2 - 19. Let d(s) = -2*b(s) - 5*p(s). Find the first derivative of d(u) wrt u.\nAnswer: 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 14*x - 14. Give k(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 72*x + 60. What is h(-37)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700\/6 + 4\/(-6) is divided by (-7*(-88)\/(-154))\/(1\/((-12)\/2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -13*d**3 - 39246*d**2 + 1192129*d - 91470 = 0.\nAnswer: -3049, 1\/13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 + 86*g + 7. Let h be r(-5). Solve -4*k + 4 = -4*v, -4*k + 4 - h = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g - 6. Let q(z) = -9*z - 4. Let i(u) = -4*o(u) + 6*q(u). Let t(v) be the second derivative of 0 + 4*v + 1\/6*v**3 + 0*v**2. Determine t(i(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 9 + 4)*(-4*w**3 - 2*w**3 + 4*w**3 + (-3 + 3 + 2*w**2)*(2 - 2 - w)).\nAnswer: -148*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22414555 (base 6) in base 2?\nAnswer: -10100111101001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76405885 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = -2*c + 6*m - 2*m - 14, 15*c - 67 = 5*m - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 6*j**2 - 2. Let t(u) be the first derivative of u**4\/4 + u**2\/2 - u + 1. Let r(h) = 3*t(h) - v(h). Give r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 8*s - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**4 - 57 + 57 + (-7 + 20 + 5)*(7*y**4 - 4*y**4 + 2*y**4) to r*y**3 + f*y**4 + a + d*y**2 + m*y and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*k = 0, -11*x + 8*x = 4*k - 21. Suppose 0 = -4*n + x*m + 9326, -m - 3392 = -4*n + 5938. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45584 and 32?\nAnswer: 91168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/(-2)*4\/(-6). Suppose -j = -g + 5*g + 8, -s = 2*j + 3*g. Suppose 0*d - d = -4. Put d, j, 3 in decreasing order.\nAnswer: d, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*p - 71*h**4 + 4*p + 55 wrt h.\nAnswer: -8*h**3*p - 284*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 463 + 400 = -1389. Solve -g = 31*q + 115 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 - 226.2. What is the nearest to 0 in -5, -1\/4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46450 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 2. Let f be c(6). Let q = f + -12. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16422 + -16442.325. Round i to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4*y - 3)*(1 - 1 + 2*y + ((2 - 2 - 2*y)*(-1 - 1 + 0) - 24*y + 9*y - 27*y)*(-1 - 2 + 4)) as x*y + i*y**2 + n and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 19*z - 156. Let a be m(8). Let b(x) = x**2 + x + 0*x**2 - 4 + 0*x**2. List the prime factors of b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 0.3 (d) 4\/3 (e) -0.5 (f) -8729\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(242))**2 + (-1 + sqrt(242))*1)*-6.\nAnswer: -1470 - 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/48*4\/(-10)*66*(-126)\/(-27027)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + -1 + -2)*-1 + -1)*4.\nAnswer: -8*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5\/4 + 15*r**4\/2 - 277*r**3\/4 + 195*r**2 - 169*r = 0.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -37*n**2 - 592*n + 2. Let z(t) = -t**2. Calculate v(z(s)).\nAnswer: -37*s**4 + 592*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 divided by -8.\nAnswer: 473\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000468876 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4067896?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -302*k**2 + 152*k**2 + 149*k**2. Let o(u) = -5*u**2. Calculate o(p(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3520\/(-121) + 17\/(289\/510)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1233402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*3)\/(2*sqrt(10)*5).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 2*n**4\/15 - 178*n**3\/5 - 268*n**2\/5 + n + 4. Suppose x(w) = 0. Calculate w.\nAnswer: -1\/2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 8*v**3\/3 + 27*v**2\/2 + 34*v. Find the first derivative of j(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181558 and -1.\nAnswer: -181558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3776248 is divided by 318?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2148494815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -846 + 930. Solve -q*c - 30 = -4*z - 79*c, 0 = -4*z - c + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y. Suppose 2 + 8 = 5*g. Suppose n = -g*f, 7*f - 2*n - 9 = 2*f. Let p = f + 3. Let i(o) = -5*o. Calculate p*i(r) + 3*w(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 22*c. Let u(a) = 2*a. Let i be 29\/(-2) + (-12)\/8. Let y = -14 - i. Determine y*h(m) + 22*u(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 80 = 9*f. Let y = f - -41\/2. Factor 1\/2*z**4 + 3\/2*z**3 + 3\/2*z**2 + y*z + 0.\nAnswer: z*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027435 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -40. Let v = -54 - j. What is the greatest common factor of v and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*h + 24. Suppose 10 - 40 = -h*f. Suppose 5*i - 4*i - 12 = -5*c, -5*i + 16 = 3*c. Calculate the remainder when f is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 6. Let j(i) = 11*i + 13. Suppose 2 = q - 11. Let t(w) = q*m(w) + 6*j(w). Let k(n) = -3*n. Give k(t(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + 6 + -10 - 3 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose 2*t + r*l - 735 = -3*t, -5*t + 739 = 3*l. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 13) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/12 - 3\/18. Let u be 357\/170*(0 - 8\/s). Is -5 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 280149*w**3 - 2*w**2 + 221*w + 3090?\nAnswer: -120*w**2 - 1680894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + 3 + 0 + -1. Let o = 5 - g. Let k(b) = -4*b - 7. What is the units digit of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-2)*(-4)\/(-6). What is the second smallest value in 0.2, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5836 and -0.3.\nAnswer: 1750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/2903 + 14521\/8709. What is the closest to -1\/3 in 3, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose p*i - 4 = 16. What is the lowest common multiple of i and (7 - (-16)\/(-4)) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(1428\/2100)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23845?\nAnswer: 5, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 909*x - 26367. Calculate s(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**12)\/n**18*((n\/(n*n\/(n\/(n\/(n\/n**(-7))*n))))\/n)**(-1\/12) assuming n is positive.\nAnswer: n**(-353\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/60 + 5*l**4\/12 + l**3\/2 + 5*l**2. Let q be z(-9). Let t be 48\/(-2)*4\/q. Solve t = 3*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-67)\/(-25) - 132\/(-1100). Solve 1\/5*i**2 - t + i = 0 for i.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012775668 to four dps.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5105299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*d = -332*d + 681720. What are the prime factors of d?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - z**2 + 3. Give n(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Suppose 0 = -v + d - 0. Solve 0 = -4*m - 3 - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/3 - 3)\/(5\/(-195)). Suppose -3*f = 4*p - a, 2*p - p + 348 = 2*f. Let k = f - 1227\/7. Sort k, -6, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/30)\/(5\/(-2)))\/((-1)\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -125\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 2*v + 1. Let a be u(-3). Let n = 280 - 5308\/19. Let l = n - 137\/247. What is the third smallest value in 2\/7, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 17. Let q be l(7). Let v be 1\/(4\/(-8 + q)). Let k(g) be the second derivative of -g**4\/12 - g**2\/2 - 18*g. Calculate k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 - 250. Which is the third biggest value? (a) 0.3 (b) -5 (c) f (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 50659776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663379079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - 4*q**5 - 6*q**5 + 38*q**2 - 38*q**2 + 3*q**5 + (4 - 4 + q)*(2*q**4 + 0*q**4 + q**4).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/24 - 3\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485524370.\nAnswer: 2, 5, 89, 545533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*j - 1512, j - 1883 = -2*y - 3*y. Let g = y - 168. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 27 - 33. Suppose 2*g + 16 = 4*x - v, -g - 5 = 0. Suppose h = x*h - h. Solve p + 2*p - 6 = h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147729, -295691, -443653?\nAnswer: -591615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319282, -638391, -957158, -1275415, -1592994, -1909727, -2225446, -2539983?\nAnswer: -2853170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655018 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 49877.5.\nAnswer: 4987.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292823 is divided by 498?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {f: 1, m: 4, a: 3, g: 1, s: 5, y: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/6 - (-2)\/(-6). Suppose 3*m - t - 61 = 0. Suppose 5*w - 2*c = -4*c + m, 4*w + 5*c = 15. Solve 0 = -3*q - 7 - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127671252.\nAnswer: 2, 3, 23, 462577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92043 and 621?\nAnswer: 2116989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -3, 0.2, -2, 2\/3, 0.4213?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 + 4450*m**2 + 260185*m - 264640 = 0.\nAnswer: -827, -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vufv when four letters picked without replacement from vufvu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -101, -13, -3 in decreasing order.\nAnswer: 2, -2, -3, -13, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + g. Let k be ((-1)\/(-2) + -1)*-10. Let s = k + -7. Let b = 3 + s. Give h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 1066, 1591, 2136, 2707, 3310?\nAnswer: 3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(44) + sqrt(11) + -5 - sqrt(99)*6) + sqrt(55)\/(2*sqrt(5)) + 0)**2.\nAnswer: 29*sqrt(11) + 9255\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -141252*l + 16. Let w be h(8). What is w rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*63\/168*28\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6904 + 698. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvn when three letters picked without replacement from {b: 4, n: 1, x: 2, m: 1, v: 1, c: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 3*q + 7*q - q + 102. Let p be x(-21). Sort 3, 2, p, -1 in ascending order.\nAnswer: p, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1. Let c(z) = z**3 - z**2 + z - 2. Let l(b) = c(b) + j(b). Let t(h) = -6*h**3 + 5*h**2 - 4*h + 6. What is 5*l(u) + t(u)?\nAnswer: -u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = 2*o, u + 35 = 4*u - 4*o. Suppose -u*t = 4*i - 45, 9*t - 4*t = 25. Suppose -i = -q + 10. What is the remainder when 57 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*2)\/sqrt(3))\/(sqrt(200) + sqrt(8)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:47 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let j(k) = -2*k**2 + k**2 + 5*k**2 - 6*k**2. Determine j(h(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200131021 - 20?\nAnswer: 200131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Suppose g*q + 53 - 7 = 0. Let d = -6 - q. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -8, 2\/3, -1\/2, -10804?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-30) + ((-996)\/(-45))\/1. Let c = q + -20. Solve 0 = -y + c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/225 - q**4\/36 - 2*q**3\/45 + 26*q**2. Factor d(x).\nAnswer: -2*(x + 2)*(2*x + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 85, 5, 2, -1 in decreasing order.\nAnswer: 85, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 45*t + 45. Let k be s(-1). Suppose k*m = 22*m - 34034. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.5 and 74.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*v - 6 = 0, -m - 4*v + 3 = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2 + 12*a + 1072. Give h(14).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/27)\/((-130)\/6045) - 7.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1347*k**6 - 1745*k**2 + 2 wrt k.\nAnswer: 161640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -29. Suppose 5*f - 4*q = -2, 4*f + 5*q + 2 = -a. Sort f, -4, 3.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1226, 2472, 3714, 4952?\n\"Answer: -2*i**2 + 1252*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 19*d**6\/120 - 5*d**3\/2 - 3*d**2\/2 - 7*d. Let w(p) be the first derivative of t(p). Differentiate w(f) wrt f.\nAnswer: 57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*f + 114 = 145*f. Suppose 20 = b + 2*q, -3*b + f = 4*q - 7. Suppose -5*j + 26 + 109 = 0. Calculate the lowest common multiple of j and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 602*c**4 - 1201*c**4 - 45*c**6 + 599*c**4 + 19*c**2 wrt c.\nAnswer: -5400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - 102. Suppose 90 = 2*b - 4*v, 0*b + 4*b + 3*v - m = 0. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -549 (base 12) to base 10.\nAnswer: -777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 50*h**2 + 11*h + 10. Let l be u(-1). Let a = l + -40. Suppose 0 = -2*i + 4*i - 18. What is the smallest common multiple of i and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-172 + 2)*(3 - (13 + -5)). Let p = v + -1803. Let u = 1384 + p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/4811, -0.5, 3, -2\/7?\nAnswer: -2\/4811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n - 3. Let u(o) = o**3 + o**2 + o + 1. Let d be u(-2). Let g(w) = 3*w + 1. Let l(j) = -3*j + 7. Let c(b) = -2*g(b) + l(b). Give d*h(m) - 3*c(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 326?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1490, 1982, 2474, 2966, 3458?\nAnswer: 3950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300878332?\nAnswer: 2, 75219583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(80)\/sqrt(392))\/(sqrt(245) + sqrt(245) + sqrt(245)*-3) + 0)**2.\nAnswer: 72\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -44. What is the smallest value in c, 5\/2, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:05 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - -40) + -116 + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -3998\nAnswer: -147\/3998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1062 + -509. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*y**2\/3 + 8883*y - 6060.\nAnswer: (y + 1212)*(22*y - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5335 or 6118?\nAnswer: 6118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 + f**2 - 2*f - 2. Let o be t(3). Let j = o - -75. Put j, 1, 6 in increasing order.\nAnswer: j, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351735 divided by 1059?\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 21112?\nAnswer: -21055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*c**2 - 364*c**2 + 727*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10611, -0.48, -0.088, -2\/5?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33894822 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 4.994?\nAnswer: -8.4898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*w + w**2 - 6302 + 6311 + 0*w**2)*(2*w**2 + 0*w**2 - 8*w**2) to t*w**4 + h*w**3 + p*w**2 + a + n*w and give h.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - t - 7 = -23*z, 3*z + 4*t - 17 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {h: 1, x: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131 and 1138259?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 4*f**2 + 387277*f - 387280*f - 4 + 1 as w*f + i + g*f**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 344\/(-32))*(-60)\/35?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 548332 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/25)\/7 - (-8)\/(-10). What is the biggest value in u, 2\/5, -2\/17, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - 11\/(-2). Let c(z) be the first derivative of -z**3\/3 + 5*z**2\/2 - 3*z + 1. Let w be c(3). Solve -b*m - 20 = w*p, 2*p + 3*p + m + 26 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:19 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 4. Let s(b) = -b**2 - 2*b + 3. Let a be s(1). Let f be o(a). Find w such that -6*w**2 - 8*w**3 + f*w**3 + 2*w**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*d - 135 = -728*d + 362*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d - 8. Let p be i(6). Let s(o) = o - 2. Let q be s(2). Suppose l = 5 - q. Solve 2*c - 15 = l*x, c + p*x + x = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j**3 + 81*j**3 + 60*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69107 or 29?\nAnswer: 69107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -61079 times -13?\nAnswer: 794027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p - 53*p + 77 = 0. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 3*m**2 - m + 3. Let p(r) = 7*r**3 + 5*r**2 - 3*r + 5. Calculate -3*p(k) + 5*v(k).\nAnswer: -k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 25278.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 103, 175, 291, 451?\n\"Answer: 22*o**2 + 6*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1900)*1 + -4 - sqrt(1900)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -43 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -102. Suppose 0 = f*a - o - 11, 0 = -2*a + o + 7. Solve -l = 2*t - 8, -a*l = -3*l - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - g + 42 = -6*g, -2*g = 4*d - 124. Calculate the highest common divisor of d and 576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 15*x + 9. Let f be u(5). Let i(w) = -10 + 2*w**2 + 0 + f + 6. Let l(b) = -2*b**2 - 6. Let s = -18 + 13. Give s*l(o) - 6*i(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33662645011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.06 to one dp.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1992?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5441 divided by 145851.\nAnswer: -5441\/145851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/7, -3432, 5.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11676411.9999928 - -11676408. Let x = 4 + k. Round x to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 + 649*w**2\/2 + 3822*w.\nAnswer: w*(w + 12)*(w + 637)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(1 + v - 1) + (-18 + 62 + 11)*(142 + 431 - 157)*(1 + v - v + 2*v) as y*v + q and give y.\nAnswer: 45762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/5))**(-14\/5)\/(w\/w**(-1\/2))**(-10\/3))**9 assuming w is positive.\nAnswer: w**(1629\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -485*n - 38414. Give t(-77).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/108 and 125\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11664 + -11663. What is the closest to w in -0.1, 1\/97, 5, -1\/3?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294982585 + 0.3?\nAnswer: 294982585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13532*a + 3572434. Determine n(-264).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2814)\/14*9\/27 + 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/11 (c) -0.2 (d) -38 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (88 - (-69 - -81)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**(-3\/2))\/(v**(-4)*v*v**(-2\/19))*v\/(v*v*v\/(v*v**(-2))*v)*v**(-3)*v*(v*v**0)\/v**(-4\/7) assuming v is positive.\nAnswer: v**(-1549\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 944990, 945035, 945110, 945215, 945350, 945515?\n\"Answer: 15*m**2 + 944975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 370446576 + 16553400. Suppose 3*v - 51599999 = -4*o + 4*v, -5*o + n = -4*v. Round o to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 816\/(-60))\/((-12)\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5450407\/400 - -13626. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100111010011 - -110100?\nAnswer: 1000101000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 104 = 2*a + 34, -2*j + 70 = 2*a. Suppose -3*x - 9 + a = -2*y, y + 18 = 2*x. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1216 divide 861731970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose p = -h + 2. Find i, given that 7 + h*i**3 - 7 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610290095 to the power of 1\/2, to the nearest integer?\nAnswer: 24704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175.7 - 174. Let z = i - 1.70000199. What is z rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-32))\/(2*21\/(-560))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 37*x + 269. Determine f(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33\/2, -99010\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -884.68462 to zero decimal places.\nAnswer: -885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/120 + 11*s**5\/60 + 2*s**4\/3 + 19*s**3\/6 + 28*s**2 + 13. Give h(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -53. Let q = v - 3. Suppose -3*x = -2*a - 18, -4*a = -5*a + q*x + 1. Which is bigger: a or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - (-2)\/(-1)*-3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193619?\nAnswer: 193619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 + (1 - 4))) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*y + 114*y = 1. Suppose 5*h - 8 + 3 = 0, v = -h + y. Let c(b) = b**3 + b**2 - 3. What is c(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t + 4*t - 6*t - 9*t**2 - 187 + 183. Calculate v(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-14)*1\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*q = 12. Let s = q + -1. Let k(r) = 12*r. What is the units digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t + 66*t + 184 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 6. Let a(x) = -5*x + 2. Let r = 65 - 63. Let d(n) = -2 - 5*n + 1 - r + 4. Let g(c) = 6*a(c) - 7*d(c). What is 6*g(p) - 5*v(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 2*b**3 + 144 - 13*b - 145 - b**2 in the form a*b**3 + j*b + i*b**2 + v and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = 4*n, 3*n = -2*n - 2*q + 21. Which is the nearest to 3? (a) 2 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4883 + 2343?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 62\/7 of a week?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 93\/(-62) - (11\/2 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/((-2178)\/44)*1\/(2\/63). Let w(g) = g**3 - g**2 - 2*g + 1. Let d be w(-2). Let t be d*(-4 + 1 - -2). What is the highest common factor of l and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0. Suppose 2*m - 2*d = 2, -14*d = -15*d - 3. Which is the closest to r? (a) -4 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1720 - 1717. Let k(z) be the second derivative of 0*z**5 + 0 - 2*z + 0*z**2 - 1\/2*z**6 + 3\/4*z**4 + 0*z**w. What is the third derivative of k(t) wrt t?\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51546 is divided by 12521?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 878*t + 2. Let p(u) = -127780*u + 63888*u + 63890*u. Determine p(n(k)).\nAnswer: -1756*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/4 + 17*p**3\/3 - 23*p**2\/2 - 26*p - 1. Let j = -526 - -511. Is b(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.58? (a) -1\/2 (b) -37 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/14 - 17\/42. Does 0.05 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 20*c - 2. Let v(n) = n**2 + 19*n - 3. Let o = 0 - -5. Let j(f) = o*g(f) - 6*v(f). Let s be j(-14). Solve 0*p - s = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*f. Suppose -i - f*c + c = 4, -5*i = -5*c - 30. Solve -2*t - i = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 3 + 3*f - 3 + 4*f**2 to s + o*f**2 + l*f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 49*y - 561. Determine b(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -19\/8*l**4 - 361\/4*l**3 + 16*l**2 + l + 0 - 1\/40*l**5. Determine d, given that r(d) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(88))\/sqrt(8) - (sqrt(22) + sqrt(88)\/sqrt(4)*2)\/sqrt(2).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10617 + -488?\nAnswer: -10aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from ebeeeccekciimce?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, 153864, -0.3?\nAnswer: 153864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11))**(1\/2)\/(((i*i**(21\/4))\/i)\/(i*i\/i**(-12\/5))) assuming i is positive.\nAnswer: i**(-167\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 29, 0.5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-91))\/((-9)\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*a = 32, 3*a + 1 = c - 3. What is the remainder when 63 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 107 in increasing order.\nAnswer: -20, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*((sqrt(252) + -4 + sqrt(252)*-2 + sqrt(252) - ((-2 + sqrt(252) - sqrt(252)) + -3))*-6)**2.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*f + 6, -2*z = -5*f - 6 - 1. Let a(r) = 1211*r**3 - r**2 - 6*r + 6. Let p be a(z). Does 25 divide 4\/(-6) - (5 - p\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*1.42\nAnswer: -41.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3. Suppose -10*r = -9*r - 1. Let i be d(r). Let m be 19\/(-114) - i\/(-6). Do m and 14\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/8 - ((-102)\/24)\/(-17). Factor -c**2 + 24*c + 9 + x*c**2 + 36 - 4*c**2.\nAnswer: 3*(c + 3)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -10, 15, 72, 173, 330?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 9*l**2 + l + 5. Let n be w(7). Let x be ((-44)\/n)\/((-2)\/(-420)). List the prime factors of (-10)\/(4\/x*3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962*m - 494*m - 508*m - 4 - 3.\nAnswer: -40*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 951396 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3098 - 3098. Solve j = p - 4*v + 4, 0 = -2*p - 2*v + 4 + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 1)\/(-1) + (-398)\/(-199)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 - (-5)\/(-4 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/40)\/(4\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 19*c - 20. Determine g(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**2 + 7*t + 7. Let g(j) = 52*j**2 + 6*j + 1. Let f(l) = 72*l**2 + 8*l + 1. Let o(z) = -5*f(z) + 7*g(z). Determine -7*o(q) + 2*v(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 13 (c) -0.02 (d) -0.04 (e) 2 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/20 - 55*v**4\/4 - 321*v**3\/2 + 2*v**2 - 90*v + 6. Factor b(r).\nAnswer: -3*(r + 3)*(r + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117151526 to the power of 1\/2, to the nearest integer?\nAnswer: 10824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 12 = 69*y - 670. Solve -y + 10 = 2*h + 5*j, -j - 16 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -218*y - 5. Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 322?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -37. Which is the nearest to -0.1? (a) 7 (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.084165002 to 5 dps.\nAnswer: 0.08417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 3*b**3 + (4*b**2 - 2*b + 2*b)*(0*b + 2*b - 4*b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 427, -4\/7, 12, -6\/5, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -195 + 92 + 130 - (-2 - 16).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 13) to base 15.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-34)\/(p\/(p*(p*p\/p**1)\/p))**13)\/((p*p**(1\/4))**(-3\/10)*p*p**(-1)*p*p*p*((p*p**(2\/7))\/p)\/p) assuming p is positive.\nAnswer: p**(-2011\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -324291 * -4\nAnswer: 1297164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 not equal to 728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 14*l - 92. Let x = -8 + l. Suppose 16*j = x*j + 104. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 56*a - 89*a - 30*a - 75*a - 5*a.\nAnswer: -229*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.047 and 2.666733.\nAnswer: -17.380267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 383398305 divided by 5113?\nAnswer: 74985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/31556 and -89\/121422.\nAnswer: 5585412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 13*r - 256. Let w be (-3)\/(-2)*4\/3. What is the third derivative of 3*o**4 + 12*o**r + 25*o**w - o**2 - 4*o**2 wrt o?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**(1\/15)\/(g**0\/g*g**(1\/13)*g) assuming g is positive.\nAnswer: g**(-28\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - 4\/14. Suppose -r + 113 - 112 = 0. Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = 105. Let m be 6\/j - (-6)\/(-21). Suppose 2*a - 8 = -m*a. Solve h - 5*h + 11 = -5*q, -15 = -a*h + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -641.\nAnswer: 16\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a - 1. Let s(j) = 10*j - 3. Let r be (9\/4 - 2) + (675\/(-60) - -8). Determine r*s(n) + 7*h(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3472 - -5\nAnswer: -3467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638309 is divided by 29014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220 (base 3) to base 13.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-526)\/8. Suppose 2*d - p - 30 = 0. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 15. Let n be o + 4\/6*-21. Let k = n - -63. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 4:01 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:38 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32994.\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**2 + 2*y**4 + 2 + 11*y**2 - 3*y**4)*(-3 + 2 - 16).\nAnswer: 17*y**4 + 17*y**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297129 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00110559055 rounded to seven decimal places?\nAnswer: -0.0011056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllvllllvvl. Give prob of picking 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 276. Determine b(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -88. Let r = 59 + l. What is the biggest value in 2, -2\/13, 1, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 + 51*k**2 + 62*k**2.\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*10\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.036? (a) -0.5 (b) -35 (c) 1.07 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 8*y - 2. Let z(s) = 4*s**2 - 16*s + 4. Let q(m) = -2*w(m) - z(m). Let d(i) = -1421*i. Give q(d(n)).\nAnswer: -4038482*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893 - -8029\/9. Let l = -1.35 - -0.35. Which is the biggest value? (a) -2 (b) 0 (c) l (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 13. Let b(y) = y + 1. Give -5*b(f) - c(f).\nAnswer: 3*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 3*h + 8. Let p be g(-4). Suppose -q - 4*v = -21, q - 3*v - p = -15. Suppose -2*o + q = 13. Solve 4*z = 3*x - 1 + 8, -o*x = 4*z - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-24) + 3)\/(3036\/4048)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 77*t + 344. Calculate r(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Let g(t) = -t. Let a(x) = 5*x - 3. Determine d*g(n) + a(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 169 - 34. Let f = n + -51. Find the common denominator of 97\/16 and ((-58)\/(-10))\/(f\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27833, -55659, -83485?\n\"Answer: -27826*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162253618.\nAnswer: 2, 81126809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5556*v + 1155638. Give g(-208).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 + 1274*j - 3407*j**3 + 0 - 8 + 1026*j**3 wrt j.\nAnswer: -14286*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4361690360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5365\/518 - (24\/(-21) - -2).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 11\/24*y**4 + 0 + 0*y**2 + y**3 + 1\/120*y**5 - y. Let u(n) be the second derivative of b(n). Determine u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-1287)\/(-22)) - 668\/52\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqq. Give prob of picking 1 q and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*b + 23, 4*w = -4*b - 0 + 4. Let z be 4\/32*4*(30 - (11 + -19)). Sort 4, b, z in ascending order.\nAnswer: b, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1049 - -2332\/122733. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7070*j = -7085*j + 195. Let k(q) be the first derivative of -6*q - j + 3\/2*q**2 + q**3. Suppose k(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1 = -11, -2*c - 7 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 + 46254*k**4 + 9657795*k**3 + 482862780*k**2 - 2621060208*k + 2128493376 = 0.\nAnswer: -15207, -108, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 - -b?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 184 = -12*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 5507761.\nAnswer: -24\/5507761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -40 (b) -42 (c) 0 (d) -5 (e) 0.6 (f) 3 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -24, -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/25 or 300753?\nAnswer: 300753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 709445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.486449 - -0.53327. Let u = f + -28.060421. Let y = u + 28. What is y rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/13 in 0, -120\/7, 2, -119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 195075823, 195075828, 195075833, 195075838, 195075843?\n\"Answer: 5*m + 195075818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:20 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-10)*-20*3. What is the units digit of ((-2)\/(-5))\/((-3)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/(-273) + 2\/5 + (-24348)\/(-105). Are 229 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 17 - 6*m + 20 - 8*m. Determine l(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 7*w**2 - 7*w**2 + (-w**3 - 3*w**3 + 7*w**3)*(-3*w + 3*w - 2*w).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/23, 53226 in descending order.\nAnswer: 53226, 4\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -75 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c041b - 21?\nAnswer: -c043c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**1\/r*r**(-3\/4)\/((r*(r\/(r**(2\/9)\/r*r))\/r)\/r) assuming r is positive.\nAnswer: r**(-55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10800 = -294*n + 1686 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/(1\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/21)\/(2\/(-42)). Let a be 2\/5 + d\/65. Let l = 345 - 1726\/5. Put a, l, 5 in descending order.\nAnswer: 5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Let a = r - 1. Suppose -10*h = 4*h - 28. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.5 - 23. What is the closest to 0 in -0.2, o, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*x, 4*c = 3*x + 53 - 93 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161\/15 - 1\/((-20)\/(-8)) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56041.7 days in seconds?\nAnswer: 4842002880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/128 and -125\/408.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**4 - 3*q**3 - 9*q**2 - 15*q - 14. Let d(j) = -2*j**4 + 2*j**3 + 5*j**2 + 7*j + 6. Let u = -367 - -360. Let z(y) = u*d(y) - 3*l(y). Factor z(b).\nAnswer: -b*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/(2\/115). Let v(t) = -2*t + 5. Let i be v(-5). What is the third derivative of -m*b**6 + 0*b**5 + i*b**2 + 0*b**5 + 7*b**2 wrt b?\nAnswer: -2760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 - 11)) + -7 - (8 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222771.700034 - 222772. Let d = u + 0.3. What is d rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -519\/10648 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 404244 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 27 = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(26) - (sqrt(78)*2)\/sqrt(3) - (sqrt(78)*2)\/sqrt(3))\/(-2*sqrt(3200)) + -3 + 1)**2.\nAnswer: -21*sqrt(13)\/40 + 313717\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 + 4958*h + 35*h**3 - 4958*h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 11 - 9 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = q + 659459, -4*y + 678227 = 5*q + 150683. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.59. Let j(l) = -22*l**2 - 460*l + 40. Let p be j(-21). What is the nearest to p in a, -0.3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 6*n**2 + 2*n + 14. Calculate the remainder when d(6) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70933927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344035 and 15355.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 24008.23kg?\nAnswer: 24.00823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 27*m**2 - 50*m**2 + 25*m**2 - 41 to x*m**2 + b + r*m and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1153345360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 1.9, -3 in increasing order.\nAnswer: -9, -3, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1579849373+586\nAnswer: -1579848787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0.388 (c) 964\/7 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 185*y**2 - y + 1. Let z be u(1). Let b(w) = 21*w**2 - 189*w - 571. Let m be b(-3). Is z smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2600950\/210)\/5 + 4\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/14 + (-6)\/(-21). Let n be (-8 - (-222)\/18)*6. Solve -n = i*u + 2*v, 8 = 4*u + 2*v + 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 3*g**4 - 4*g**3 + (0 - 2*g + 0)*(-4 - g**2 - 6 + 18025*g**3 - 18075*g**3).\nAnswer: 97*g**4 + 2*g**3 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72))\/sqrt(9))\/(sqrt(4) - (sqrt(1152) + sqrt(32))\/sqrt(8) - sqrt(4)) - ((2 + -1 + sqrt(98) + sqrt(98))**2*-6 + 5).\nAnswer: 1177*sqrt(2)\/7 + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 16609454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 818 times 0.4\nAnswer: 327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 10*h - 99. Let y(g) = g**2 - 15*g - 47. Let j be y(h). Suppose 0 = -5*p - j - 16. Which is the third smallest value? (a) 1 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from ccccccybcccfcyxyyc?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/68, -3, 4\/5, 2\/17, 3 in increasing order.\nAnswer: -3, 5\/68, 2\/17, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((1 - -13) + 0 + 13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/77788 and 17\/151?\nAnswer: 11745988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010222 + 11232223?\nAnswer: 12303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 325 + 135 = 0. Suppose 5*i - z = -g + 17, -g + 144 = i. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.014 - 4.476. What is c rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 - 508*h\/3 + 336.\nAnswer: 2*(h - 252)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 42 - 28 = 0. Let h be 8 + (-3)\/(3\/d - -3). Let 3 - 30*o**3 - h*o**2 + 53*o**3 + o**5 - 2*o - 25*o**3 + 3*o + 3*o**4 = 0. What is o?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*h = j - 6, 3*j + 2*h = -1. Let b(x) = 9*x - 1. What are the prime factors of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -162. Suppose g = 2*g + 2*x - 87, g - k = -5*x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/12*-4 - 194. Let a be (m\/(-49) - 3)\/(6\/7). Determine c so that a - 2\/3*c**2 - 2\/3*c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2123*l**4 - 4*l**3 + l + 19227 wrt l.\nAnswer: 8492*l**3 - 12*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13419, -13418, -13417, -13416, -13415?\nAnswer: -13414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53622 and 15888.\nAnswer: 428976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20516772.\nAnswer: 2, 3, 509, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2850639830, 2850639829, 2850639828, 2850639827?\nAnswer: 2850639826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5691*g - 4 - 2286*g - 3620*g.\nAnswer: -215*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p + 14. Let t(d) = -4*d - 7. Let x(k) = 3*i(k) + 5*t(k). Let o be x(-6). Which is the nearest to o? (a) -3 (b) -0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 8}. Give prob of sequence fiff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/294 and (-19)\/(-6) - (-9 - -8)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from dddddddwddddddddddd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - 30 - -71 - (2 + 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 2*g - 3. Let t be j(-6). Let z = t - -74. Suppose 5*c = -4*v + z, -5*c + 6 + 9 = 0. Calculate the least common multiple of v and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21948 (base 16) to base 11\nAnswer: 94380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -829, -1242, -1655, -2068?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1960 and 2834536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/9)\/(6\/9))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759465 divided by 5?\nAnswer: -351893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**7 + 4*u**3\/3 + 1. Find the third derivative of t(k) wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1858117407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3565 times 0.5?\nAnswer: 0.17825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33155*d + 125 - d**2 + 8*d**2 + 33145*d wrt d?\nAnswer: 14*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*z - 6*f + 3*f + 50, -461 = -2*z - 117*f + 721 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94156569447\/1185032 - 635639\/8. Let w = 8147537\/32736509 - x. Let j = w - -20003\/2210. Find the common denominator of -93\/14 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 28 = -13*l. What is the highest common divisor of 196 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1167684\nAnswer: -2335368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1329, -5, -3, 22, -4.\nAnswer: -5, -4, -3, -2, -1, 22, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3 + (-39)\/(-12) + 78\/8 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83072\/(-59))\/22*(-3*(-1)\/3)\/(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4*14) - (-27)\/108.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 798 + 794 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/180 + v**5\/9 - 17*v**4\/36 - 28*v**3\/9 - v**2 + v + 2311. Suppose i(o) = 0. Calculate o.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 104 = 76 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*x - 298 = 0, 2*v = 4*v - 5*x - 195. What is the greatest common divisor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*b + 235*b - 565*b + (3*b - b - 5*b)*(1 - 3 + 4) + 0*b + b + 0*b.\nAnswer: -161*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = -27. Let y = p - -268. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -697 - -692. What is the smallest value in a, 4, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/286038 and 77\/6054471?\nAnswer: 36326826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 3*b**2 + b**2 - 2 + 104*b - 100*b to the form h*b + t*b**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/4 - (-4)\/8. Let c(b) = 5*b**3 - b**2 - 2*b + 2. Let d be c(1). Suppose 0 = -2*g - 2*o - 4, -4*g - d*o = g + a. Let k(l) = 3*l - 1. Give k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155616 and 5?\nAnswer: 778080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.4. Let t = -4.093894 + 0.093894. Which is the second smallest value? (a) t (b) -1.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:44 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 282185*h**2\/2 - 141093*h.\nAnswer: h*(h - 282186)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*h - 215*h - 8 = 0. Suppose -2*k + c - h*c + 405 = 0, c = -5. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60303 divided by 20101\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 263?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.1. Let l be (8\/(-120))\/((-29)\/(-6)). Let b = 157\/870 + l. What is the nearest to v in -5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7525 = 3*v + 2*v. Suppose 0 = -a - 4*a + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*g - 41, -463 = 8*j - 11*j + 97*g for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 551747759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277 + 1260 = -5*a - 2*h, 4*h = 2*a - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 o when three letters picked without replacement from ssssscscsoossss.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s = 63*s - 8*s - 19*s - 4104 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68286054 and 796.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 116499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, f: 2, r: 3, n: 3, q: 9}. Give prob of sequence kr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 + 251.6. Let q = -2 - 2. Put 5, f, q in increasing order.\nAnswer: q, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1\/60*x**5 - 1\/6*x**3 + 0 + 1\/8*x**4 + 0*x + 5*x**2. Let l be o(-3). Let g(u) = 11*u - 1. Determine g(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 5:56 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22612 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00475514473 rounded to seven dps?\nAnswer: -0.0047551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4467115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 277822717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 1. Suppose 4*q - q = y. Suppose q*w - 7 - 5 = 0. Solve 3*l = -5*a + w*a - 14, 4*a - 5*l - 16 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344 less than -84979\/246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 7 - 3)*(-u**2 - u**3 + u**2) + 2 - 2*u**3 - 2 as p*u**3 + c*u + n*u**2 + t and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*3)\/(sqrt(396)*2).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84798359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3753*g**3 + 10*g**2 + 7*g - 34. Let u(d) = 5003*d**3 + 13*d**2 + 9*d - 44. Calculate -9*n(i) + 7*u(i).\nAnswer: 1244*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - h - 21 = -i, 3*i - 5*h - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.8 = -74731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x + x)*(3 - 3 - 1) + (-2*x + 2*x - 2*x)*(-13 - 20 + 13) + 8 - 8 + x + (0 + 1 - 3)*(0*x + 2*x - 5*x) in the form h + d*x and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 360?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173363292 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + -3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 32*d + 249. Calculate j(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/20*o**5 + 0*o - o**2 + 0*o**3 - 1\/40*o**6 + 1\/4*o**4 + 0. Factor t(m).\nAnswer: -3*m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -34. Let y = c + 11.00000052. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/20 - q**4\/3 - q**3\/6 + 3*q**2 - 3*q. What is the tens digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*z - 1555 - 230549 = -5464*z for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 12*l**2 - 6*l - 11. Let m = 30 - 19. List the prime factors of s(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 14840804?\nAnswer: -39\/14840804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/4)\/(3\/6). Let n(d) = d**2 - 9*d + 2. Let b be n(w). Suppose -2*f - b*f = -372. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6378493 and 9.\nAnswer: 57406437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 45*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2089180*p**3 + 4*p**2 + 5*p - 1983898?\nAnswer: 12535080*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*3 + 8. Let r = -0.048486 - 2.951514. What is the nearest to 0 in t, -1\/9, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82.8 - 73. Let g = 8.8 - s. What is the fourth biggest value in -0.3, 0.3, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k - 60 = 0. Let i = 18 + k. Let o = i + 25. What is the smallest value in o, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of ((-1314)\/(-21))\/(35\/490)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((-1 + sqrt(245) + sqrt(245))*-4*-6 + -2)**2.\nAnswer: -17472*sqrt(5) + 565155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - 10*u + 12. Let l(d) = 5*d**2 + 9*d - 12. Give 7*l(f) + 6*v(f).\nAnswer: 5*f**2 + 3*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6485618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 28*j - 174. Suppose -7*l = -3*l - 36. Let q be d(l). Which is the nearest to 1? (a) 2\/19 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 12 + 3*g**2 - 12)*(-35*g**3 - 29*g**3 - g**3).\nAnswer: -195*g**5 - 325*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3\/36*0. Let t(j) be the first derivative of j**2\/2 + j - 23. Give t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 8 + 2. Suppose 0 = 4*j + 8 - 24. Put j, -1, p in ascending order.\nAnswer: -1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**4 - 238*x**3 + 2*x**2 wrt x.\nAnswer: -24*x - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(-2\/3)\/p))\/p*p)\/p)**32*p*(p\/(p\/p**(-3)))\/p*p**(4\/7))\/(p*p\/p**(-4)*p*p*p**(2\/11)\/p*p**(-1)*p\/p**(1\/2)) assuming p is positive.\nAnswer: p**(5647\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105160 + -352?\nAnswer: -105522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3, -6165, -14, 7 in descending order.\nAnswer: 7, 5, -2, -3, -14, -6165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/11 (b) 1 (c) 1\/3 (d) -134 (e) 0.2 (f) -1\/5 (g) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*o + 17, 0*q + 4*o = 5*q - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81, -79, -77?\n\"Answer: 2*d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - 11 - (442 - 431)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -31*n - 5. Let v(t) = -10*t**2 - n*t**2 + 10*t**2 + t**2 + 0*t**2. Let s(u) = 25*u**2. What is v(s(x))?\nAnswer: -2500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 32. Suppose -2*u - 3*r - 34 = -6*r, 4*r - 7 = u. What is the remainder when 83 is divided by v(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*t + 10*t + 3 = 0, 4*p + 1 - 14 = 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:44 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + m. Let f be k(0). Let b(v) = -2*v - 2*v + f*v. Let d(i) = i**2. Give b(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78154032 to the power of 1\/2, to the nearest integer?\nAnswer: 8840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 2182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 5*w - 4. Let l = -6 + 10. Let i be o(l). Suppose i - 2\/7*a**3 + 0*a + 0*a**2 = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-17))**(-3\/35))**5 assuming i is positive.\nAnswer: i**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280*i + 199*i + 1124*i + 991*i + 53910 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3964.735 - 1300.683. Let y = -2673 + b. Let h = y + 9. Round h to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -439.197732?\nAnswer: 450.197732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - -115. Let k be -4 + (-2 - -4) - (-7)\/d. Is -72\/7 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*m - 12, -2*m + 4 = 3*a - 4*m. Determine i so that 34*i**3 - 64*i**4 + 120*i**3 - 156*i**2 - 16 + 88*i + 10*i**5 - 16*i**a = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*l + 411*l - 84*l as q + m*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - 5*h + 0*h)*(-h**2 + 6*h**2 - 3*h**2) - 3*h**3 + 4*h**3 + 0*h**3 + (0 + 2 - 4)*(-3*h**3 + 5*h**3 - 4*h**3))*(h**2 - h**2 + h**2).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 287248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1535*j + 843 + 533*j + 1019*j - 845 + 2*j**2 to p*j**2 + z + u*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 999089 and 6461?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5771*x + 23. Let t be y(-13). Round t to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.18 - -7.08. What is the second smallest value in -273, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21359*b**4 - 49*b**3 + 1123*b**2 - 17654 wrt b?\nAnswer: -512616*b - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126 + 281117?\nAnswer: 280991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20197*m + m**2 - 20197*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 240*x - 1679. Let c be v(7). Let o = -1552 + 259182\/167. Do c and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 - -5.7. Put h, 4\/7, 0.5 in decreasing order.\nAnswer: 4\/7, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 274*j**2 + 2*j**3 - j**3.\nAnswer: 3*j**3 - 274*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*l + 2 = -0*l, 0 = 2*p - 4*l. Solve 0 - p = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205937 + 55?\nAnswer: 205990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*l**6 + 8*l**3 - 4*l**2 - 4.\nAnswer: -1440*l**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 435.\nAnswer: 0.3, 2, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a + 3*y, a - 1769*y - 12 = -1771*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169283*h**4 + 96*h**3 - 223*h**2 + 398622*h?\nAnswer: -4062792*h + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*f**3 - 644*f**3 + 128*f**3 - 3*f.\nAnswer: -2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-7))\/((-29865)\/45612)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -459, -468, -479, -492, -507?\n\"Answer: -t**2 - 6*t - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from gbsggbggbtgbsgbts.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-210))\/(1\/(-3)). Put 1\/11, l, 1\/2 in decreasing order.\nAnswer: 1\/2, l, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 + -6080?\nAnswer: -6028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004818 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0831670011 to three dps.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3103.01, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 u when four letters picked without replacement from upupununpppp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 702 = -3*l, 2*l + m - 10 - 469 = 0. Which is smaller: l or 473\/2?\nAnswer: 473\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 737257 + -15\nAnswer: 737242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/(-7)*2\/(-6). Suppose u*d - 12 = v, 4*v - 8*v = 0. Solve d*c + 0*c - 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*q + 19113 = 876*q for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:21 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 + 4*d + 3. Let p be n(-3). Suppose p*t - 12 = 7*t. Suppose 7*x - 30 = t*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/651 and 64\/33.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*p + 956 = h, -3*p = -9. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m = 173*m + 6996 + 2710 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.21767 (b) 3 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = -39*w + 333. Are -44 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -981729, 4.\nAnswer: -981729, -49, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349.69 + -0.69. Let l = 348.99 - r. Are -16 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19911146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 10*n. Let i be t(-10). Sort 1, 2, i in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1304, -5317, -23252, -58159, -115696, -201521?\nAnswer: -321292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 524 + 1220 = -1936. Which is bigger: -370 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4 + 0 + 1. Let u be ((-31)\/(-3))\/((-2)\/k). Round u to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13870*n - 2*u = -13865*n - 97, 3*u + 54 = 2*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2483 - -4776\/235885. Let z = -0.3 + 0.2. Is y >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:25 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, -5, -1 in increasing order.\nAnswer: -15, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/2940)\/((-28)\/10437).\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**2 - y**2)*(-12*y + 2*y - 5*y**2 + 8*y**2).\nAnswer: 6*y**5 - 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.727169t?\nAnswer: 727169000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 13230?\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 7. Let k be j(-4). Suppose -2*o - 1 = v, -5*v = -2*o + 4*o - 19. Suppose -v = -5*g + 15. Solve -r + k = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**3\/3 - 29*x**2 - 11*x - 6. Let f(m) = -2*m**2. Determine y(f(w)).\nAnswer: -4*w**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*z + 57 = 0, 3*d - 4*z = 4*d - 24. Let t be ((-16)\/d)\/(4\/(-10)). Suppose -2*o - t*o = -24. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 17936*n + 80425024.\nAnswer: (n + 8968)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**2. Let b(g) be the first derivative of -g**3\/3 - 6. What is t(b(n))?\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 15. Suppose 4*d - 5*z = -33, -3*d + s*z - 16 = 10. Suppose -23 = 2*j - 5*f, f = -2*j - f + 12. Which is the closest to j? (a) 1 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i**3 - 232*i**2 - 231*i + 2. Give b(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184561 or 184577?\nAnswer: 184561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 + 5*t + 1. Let r be o(1). Which is the second biggest value? (a) -2\/9 (b) 10 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asisblio. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6 + 5*n - 6*n + n**2 - 5*n. Let v be (13 + -10)\/(3\/10) - 4. Calculate f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1206\/470959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*2 + sqrt(152))\/((sqrt(8)*-3 + sqrt(8) - sqrt(8))*2).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130414825 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (-7)\/42 + 74\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 272 = 3*n, -26*d = -21*d + 4*n - 749. Calculate the smallest common multiple of d and 1073.\nAnswer: 5365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:44 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 17, m: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185415 or 185411?\nAnswer: 185415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29777281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - x**4)*(5 - 10 + 29) + (-33*x**3 + 659*x**2 - 659*x**2)*(2*x - 4 + 4).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907579.\nAnswer: 17, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*h = 3*u - 713*h - 152, 5*u - 4*h = -304 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 100130013?\nAnswer: -100130121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 29*x**2 - 19*x - 5.\nAnswer: -(x - 5)*(x - 1)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((-2*(sqrt(931) + 2) - sqrt(931)) + sqrt(931) - 1*(sqrt(931) + -2))*-4*-6 + 2)**2.\nAnswer: 181440*sqrt(19) + 19313316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0535 - 0.105. Let o = q + -44.7215. What is o rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:06 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 1, l: 5, v: 4, a: 1, o: 5}. What is prob of sequence vvlm?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 33*x - 63. What is b(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 6*f + 2 - 19*f - 3. Let d be c(5). Let h be d\/(-22) - 6\/33. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973599 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5. Let i = 5 + s. Let r(k) = -57*k - 3641. Let o be r(-64). Solve -i*x = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -556.9 + 559.9. What is the fourth smallest value in a, -0.5, 9, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03942 + -0.23942. What is the third smallest value in 2\/11, -180\/23, 5, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.899 - 0.101. Let h = 78278542.999913 + -78278489. Let f = h + s. What is f rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-1)\/10). Suppose 0 = 25*t + 44 + 31. Sort t, s, -4.\nAnswer: s, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) + 133\/28. Let l be -3 - g\/(4\/(-3)). Let c(q) = -56 + 28 + 23 + 14*q + 7*q - 22*q. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/12) - 2. Suppose -f*k + 0*t = -4*t - 2, -2*t + 3 = -5*k. Let z(b) be the second derivative of -3*b**5\/10 + b**3\/6 - b. Determine z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5 (c) 1 (d) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 5*m + 11*m - m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**4\/5 - 928*z**3\/5 + 264*z**2\/5.\nAnswer: 2*z**2*(z - 66)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15961 is divided by 1592?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188437910 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4377 - -4376. What is the third biggest value in -0.1, -5, -58, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-30)*(-147)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(950) - (sqrt(38) + sqrt(304)\/sqrt(128) - sqrt(38)))\/(-1*sqrt(6)\/sqrt(3) + sqrt(72)).\nAnswer: -41*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -28, 11\/2, 0.\nAnswer: -28, 0, 11\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h + 138. What are the prime factors of v(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10377 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 0*h**4 - 2*h**4)*(6*h - 8*h - 7*h) + 12*h**5 - 2*h**5 + 2*h**5.\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2111460 and 3159.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-3) + -3 - -5. Let n be (-1)\/4 + 1512\/32. Suppose -4*l + 5*x = -9 - 46, 2*x = -3*l + n. What is the highest common factor of l and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/12 + d**3\/6 - 36*d**2 - 1. Let b(w) = -5*w**2 - 1. Determine -5*b(u) - 6*c(u).\nAnswer: -5*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = t + 3, -18*c + 16*c = -4*t - 14. Let w(f) = f**2 - f. Let h(b) = -6*b**2 + 3*b + 7. What is c*h(u) - 4*w(u)?\nAnswer: 2*u**2 + u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21346 or -469641\/22?\nAnswer: -469641\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*v + 19, 4*h + 2*v - 10 = 2*h. Let d be ((-25)\/(-2))\/((-1)\/(-2)). Suppose h*a - 121 + d = 3*w, 48 = a + 4*w. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 4097.\nAnswer: 43\/4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -1 - (-1 - (-4 + 2 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16644\/(-81)*2\/458. Let n = y + -32\/229. Let u = 37252\/3 - 12396. Find the common denominator of u and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 645, 651, 657, 663?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 1\/2. Suppose h = -5*n + 13 + 7, -34 = -2*g - 4*n. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*f - 1374 + 750. Let y(c) be the first derivative of -c**3\/3 - 3*c**2 + 7*c + 2. Let d be y(-7). Put f, d, -2 in ascending order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-24)\/(14 - 26)). Is r less than -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16*q = -21*q + 13, 2*q = 0. Suppose 14 = -o - 5*n + 2, -n = 5. Calculate the highest common factor of i and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22648237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4812527*q**3 - 5037101*q**2.\nAnswer: -28875162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 85616 (base 10) to base 11\nAnswer: 59363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g**3 - 4*g**2 + 19*g - 203. Let d(n) = -3*n**3 - n**2 + 3. Let u(a) = 6*d(a) + t(a). Give u(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 36603.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 5*b + 3. Let c(h) = -h**2 + 2 + 0 - 3 + 4*h - 1. Let y = -1 - -4. Let v(f) = y*c(f) + 2*j(f). What is v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 - 56 = -5*i + 114*z + 567, 6*z - 16 = -i + 8*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {g: 1, n: 1, r: 1, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5060, -4706, -4352, -3998?\n\"Answer: 354*x - 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4118.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (33 + (-6066)\/126).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/24*3*(-3)\/(-9)*-6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 7 - 16 - 2*x + 1 - 3*x - 1 + (-1 + 6 - 3)*(0*x + x + 0*x).\nAnswer: -3*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 474 divided by -747\nAnswer: -158\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 2*c**2 + 7*c**2 + c**2 - c**2 - c**2 + (-3 + 4 + 1)*(c**2 - 2*c**2 + 0*c**2).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134392474, 268784945, 403177416, 537569887, 671962358?\nAnswer: 806354829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**6\/3 + 13*d**5\/5 + 17*d**4 + 4*d**3\/3 - d**2\/2 + 64*d + 5398. Find the third derivative of i(m) wrt m.\nAnswer: -120*m**2 + 312*m + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20267 - -20262. What is the second smallest value in -0.3, -2, -5\/2, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -626\/1615 + -4\/323. Which is the nearest to 2? (a) -0.2 (b) r (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:32 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Let g(n) = 2*n - 1. Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/309, -40, 11\/2, -93 in descending order.\nAnswer: 11\/2, 2\/309, -0.2, -40, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 53 (b) -592\/11 (c) 9 (d) -2\/23 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*n**3*x + 24994*a**3*n**3 + 1715*a**3 - 24*a*n*x - n**2 wrt n.\nAnswer: -12*a**3*x + 149964*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:26 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*s + 39*p**2 - 104*p*s - 9*p + 113*s - 199 wrt s?\nAnswer: -p**2 - 104*p + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/8 - 29433*q\/4 + 999855\/8 = 0 for q.\nAnswer: 17, 19605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let m(f) = 9*f. Let x(j) = -4*m(j) - 7*s(j). Let z(a) be the third derivative of a**5\/10 + a**2. Give x(z(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 x when four letters picked without replacement from ssxssx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 j when four letters picked without replacement from {c: 7, j: 3, t: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0244 - -5.0244. Let j be 40\/238 - (-18)\/(-63). Which is the second biggest value? (a) -0.2 (b) 0.5 (c) j (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23199182 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21105134 is divided by 1906.\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 290300 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-1\/6)*u)))\/(u**0\/u)*(u*u*(u\/(((u*u**(1\/2))\/u)\/u)*u)\/u)**33)**(-6\/7) assuming u is positive.\nAnswer: u**(-710\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3194 * -82\nAnswer: -261908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 114 = -3*h + 5*o, 5*o = -5*h + 190. Suppose -5*u = -2*k - h, 3*u + k + 15 = 5*u. What is the units digit of 10\/8 + (-2)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1224414?\nAnswer: -1224405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -0.2, 1, 0.4, -7\/5, 1277?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2793 - -2714) + 30 + -1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 990*x**2 + 72508 - 72508 as z*x + q + u*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 441029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Suppose 5*k - j - 6 = -5*j, o = -3*j. Let c(t) = t**2 - 3*t + 2. Let g be c(k). Solve 2*l - 2 + 4 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231568 by 82.\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.632*0.01.\nAnswer: -0.53632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-173)\/(-9) + 4 + (-190)\/45. What is the greatest common divisor of a and 703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/7937 - 944479\/190488. What is the common denominator of (17\/(-170))\/(2*(-2)\/246) and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122464 and -4.82.\nAnswer: 590276.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -84*h**3 + 2*h**2 - h. Give f(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15564900?\nAnswer: 2, 3, 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5\/(o*o**(-5)*o*o))\/(o**0)**(-39))**(-14\/11) assuming o is positive.\nAnswer: o**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12363, -24715, -36967, -49119, -61171?\nAnswer: -73123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1563153, -3126304, -4689455, -6252606, -7815757, -9378908?\nAnswer: -10942059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 4*w)*((-6*w + 3*w + 2*w)*(3 + 0 + 0) - 2*w + 7*w - 4*w + (-w - w + 0*w)*(3 - 6 + 4) + 0*w + 0*w - 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 22*p - 86. Determine d(26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/833 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.210062 rounded to two decimal places?\nAnswer: -14.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {a: 3, y: 1, o: 5, t: 4, r: 1, d: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 34188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**2\/2 - 24*t. Let a(l) = 2 - 3 + 0*l**2 - 5*l**2. Let x(u) = -a(u) + 5*k(u). Differentiate x(p) with respect to p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 40. Let a(u) = -3*u - 14. Let z(m) = 11*a(m) - 4*l(m). Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/240 - 49*h**5\/30 + 385*h**4\/48 + 97*h**3\/2 - 1454*h**2 - 2. Factor q(d).\nAnswer: (d - 194)*(d - 3)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, -4, 5, 1\/2, -39599 in increasing order.\nAnswer: -39599, -4, -3, 1\/2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**2 + 2262. Let a(o) = 63*o**2 - 13*o. What is w(a(v))?\nAnswer: -126*v**2 + 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 47 + 31. Suppose 4*m + 13 = 69. What is the remainder when q is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 - u**2 + 9*u + 602*u**3 - 603*u**3 - 2. What is k(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*j - 17, 2*x + 2*x = 5*j - 53. Let g = 8 - x. Let k = 9 + 11. Calculate the highest common factor of g and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3245 divided by -6\nAnswer: 3245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 1\/2, -3, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*c - 8 = -2*c, -5*r + 5*c = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 8779640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 462?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.2, -2\/17, 27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52.5? (a) 4 (b) 11 (c) -3 (d) -4 (e) -2\/5 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:20 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 245 = 4*w, -5*r + w - 4*w = -360. Let o = r - 73. Suppose 0*m + 5*m - n - 2068 = 0, 2*m - o*n - 832 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*a**3 + 6*a - 26 wrt a?\nAnswer: 1164*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uumu when four letters picked without replacement from upuumuuzupzzppz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69885407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/((-8)\/72)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/8 - 16495*a\/8 + 74187\/4.\nAnswer: (a - 16486)*(a - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8688406?\nAnswer: 2, 173, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/13 - 813\/26. Let k = 88759\/8790 + 2\/879. Calculate the common denominator of d and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 7)\/(-2 + 4). Let k(x) = -8*x - 1. Let w be k(-1). Let g = 23 - w. Calculate the greatest common divisor of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-244)\/20*(-12 + 7). Solve 2*v + 55 = r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*h = -7*w + 12, -3*w + 524*h + 72 = -6*w + 542*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 4*j - 5. Let s(b) = -16*b**2 + 19*b + 26. Suppose -2*w + 2*l - 8 = 0, -14 = -2*w + 5*w - 4*l. Let z(y) = w*s(y) - 11*c(y). Give z(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 + -232. Put k, 0.5, -71 in ascending order.\nAnswer: -71, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*q + 138, 279*p - 274*p = 4*q + 318. What is the remainder when 291 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*d)\/(d\/d**(-8)*d))**(-19) assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 441\nAnswer: -25\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f - 1. Let c be y(0). Let w = 3.159051 + -0.159051. Let q be (-6)\/8 + (-1)\/4. What is the nearest to q in w, c, -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 43*p**2 + 40*p**2 - 82*p**2 - 9*p + 15. Suppose 4 + 32 = 3*b. Let u be l(b). Sort 1, 10, u, -4 in ascending order.\nAnswer: -4, 1, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s - 491 = -15*s + 1309 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39702*r + 12096*r + 44922*r + 9875*r - 8512*r.\nAnswer: 98083*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -193*n - 13900. Give j(-72).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-12) - 111\/9. Let r(j) = -2*j - 10. Let t be r(y). Let d be 202\/t - (-9)\/(-21). Is 14 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g + 3. Let q(s) = -4*s**2 + 9*s - 13. Suppose -2*i + 2*d = 22, 0 = 3*i - 8*i + 3*d - 51. Let c(h) = i*o(h) - 2*q(h). What is c(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 256*o - 18. Calculate g(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/(-22) + (32\/(-11))\/(-8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-37)\/((-10730)\/(-87)) - 15\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148.63 - 208.674. Let y = 1049 - 1109. Let j = i - y. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = u + 7, -5 = z + 2*u + 2. Let q = 0.36 - 0.721. Let s = q + 0.561. What is the third biggest value in -0.5, 0.05, s, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5210 + 1942*y - 10375 + 5165.\nAnswer: 1942*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4853239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012986879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -665738 (base 11) in base 7?\nAnswer: -12011215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlzzllllgrl. What is prob of sequence rz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 11) in base 2?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3445 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5 + 2*q + 0*q**3 - 5*q + q**2 + q**3 - 6*q**2. Determine x(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*sqrt(104) + sqrt(104)))\/(sqrt(392)*-1))**2 - (3 + (sqrt(1053) - (sqrt(1053) + 0))**2 - -4*(1 + sqrt(1053))**2).\nAnswer: -206718\/49 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 0.9, 29, 0.5, 403 in ascending order.\nAnswer: -0.3, 0.2, 0.5, 0.9, 29, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 13*k**2 + 49*k - 331. Let h be l(6). Do 2\/14587 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.5, -1.98, -51\/7, -3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -3\/5, -0.4, 1, -0.1 in descending order.\nAnswer: 1, 1\/8, -0.1, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*o - 43. What is the remainder when 2\/(-4 - 89\/(-22)) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014104634 to 5 dps.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 r when four letters picked without replacement from {p: 2, t: 2, r: 5}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6248355 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108373 and 1455511?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(143)\/(sqrt(11) - sqrt(176)) - (1 + 6*(sqrt(13) + (sqrt(13) - sqrt(117)))))**2.\nAnswer: -34*sqrt(13)\/3 + 3766\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 15*r**2 - 17*r + 19. Let y = -312 - -328. Let a be j(y). Let c(f) = 2*f**2 - 2*f - 3*f + 2*f - 3. Calculate c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m = s + 23*m - 43, 4*s - 146 = -m. Suppose 3*d = k + s, -7*k + 4*k = -4*d + 56. Solve 0 = 5*y - 4*n - d, 3*y + 4*n + 18 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 13*j**3\/3 - 3*j**2\/2 + 12*j. Suppose 0 = 3*g - 2 - 34. Calculate the remainder when y(1) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 639*b + 45379. Determine y(-71).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**4 - 4*q**3 + 4*q**2 + 12*q + 4. Let t(h) = h**4 - h**3 + h**2 + h + 1. Let a(g) = -s(g) + 4*t(g). Find the second derivative of a(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-8) + 3\/(-12). Put -2, -1, 0, -5, p in descending order.\nAnswer: p, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 1. Let n(d) = 3*d**2 + 3*d + 1. Let r(u) = 4*h(u) + n(u). Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220492635?\nAnswer: 3, 5, 11, 17, 78607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 41*u + 94. Calculate the remainder when 257 is divided by m(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -41) + (-9 - 0) + (-1 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 4. Suppose 4*n = 3*q + 10, -4*q + 3 = n - 5*q. Let l(x) = 6*x**2 - n - 9 + 7*x + 11*x**2 - 16*x**2. What is l(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5563, -5576, -5589, -5602?\nAnswer: -5615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 927760 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1854, -1862, -1892, -1950, -2042?\n\"Answer: -d**3 - 5*d**2 + 14*d - 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9383, 37810, 85189, 151520, 236803, 341038?\n\"Answer: 9476*p**2 - p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:50 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25646 is divided by 25554.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 70\/(-15). Let x = -6 + l. Let q be x + (2 + -66)\/(-2). Solve -3*c - 5*w - 19 = -4*w, 3*c + q = -4*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Suppose 0 = 4*m + x - 5. Suppose -m = -u + 23. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.10579 + -0.53589. What is j rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35730 by -3970.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -155*u - 3. Let w(r) = 233*r + 5. Determine -8*h(q) - 5*w(q).\nAnswer: 75*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 25, -2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 9 = 3*b - 3*v, -4 = -3*b + 4*v. Suppose -3*x = -x - b. Put -3, x, 0 in ascending order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*k = -10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16d - -d?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d + 0*d)*(6 + 2 + 7)*(-1 - 5 + 5).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58351 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: Collect the terms in -2*d + 2*d + 51 - 43 + 3*d.\nAnswer: 3*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 + -5266?\nAnswer: -5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -270\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1422.9 - -1423. Which is the nearest to x? (a) 0.3 (b) -4 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-3 + -3) - -7) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*y + 2*y**3 + 2 + 2*y**4 + 113*y - 13 as p*y + b*y**3 + z + j*y**2 + r*y**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -8. Let i = -1 + b. Solve 0 = -4*f + 5*p + i, 5*f - 4 = 2*p + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-8 + 3)) + (3 - 0). Suppose 0 = 7*f - d*f. Let u = f - -37. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -438*m**7\/7 - m**6\/6 + 2335*m**3\/3 - 3341. What is the third derivative of o(l) wrt l?\nAnswer: -52560*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -549\/4 + 136. Let j = 7.7 + -8. Let k = 4\/241 - -691\/1928. Which is the second biggest value? (a) z (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102113 and 129962.\nAnswer: 1429582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + 21\/(-6). Let i = -8089 - -8088. What is the smallest value in i, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -120, -137, -47?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/2 + 10*i**3 + 47*i**2 - 298*i + 483\/2 = 0. What is i?\nAnswer: -7, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701 - 1509*m + 3033*m - 1523*m.\nAnswer: m + 701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000346625 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 3*y**5\/20 - y**3\/6 + y**2\/2 - 5*y. Let q be d(2). Let i = 70 - q. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 - 4 = 0. Suppose 0 = -4*z + 4*v + 140, 108 = g*z + z - 2*v. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36 (b) 1 (c) 0 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2287672, -2287680, -2287692, -2287708?\nAnswer: -2287728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240996019 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = -0. Suppose -4*k - j = -3*y + y, -3*y + 21 = -3*k. Solve 4*z = 2*z + y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (0 - 12) + 33 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17 = r, -5*r + 11 = 4*j - 20. Let k = -26.4 - -29.4. Put k, 12, -6\/5, j in ascending order.\nAnswer: -6\/5, k, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 14 + 162*r**2 - 24*r**2 - 7*r. What is the units digit of k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -14. Let w(t) = -t**2 + 8*t + 4. Let f(i) = -2*i**2 + 8*i + 3. Let n(h) = k*w(h) + 4*f(h). What is the second derivative of n(l) wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4394*r**2 + 43956*r + 3. Calculate b(-10).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(432) + 3 - sqrt(432))**2*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 0*i**2 + 0*i**2 + (-2 + 2*i + 2)*(4*i + 2*i - 5*i) + (-5*i - 6*i + 2*i)*(-41*i - 12*i + 71*i).\nAnswer: -159*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -109 + 27 - (-11 - (15 - 3)) - (2 + 1)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1188 and (11 + -3 + 1)\/(35\/70)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000792057 rounded to 6 dps?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*i = -26, 0 = u + i + 4*i + 13. Let v(l) = -l**2 - 9*l - 4. Let r be v(u). Suppose -4*j - 4*x + 56 = 0, 2*j + r*x = -j + 46. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, t: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.3. Let c = y + 0.2. Let l = -0.37 + 2.37. Sort c, l, -2.\nAnswer: -2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325257 by 6.\nAnswer: 108419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1105*x**5 - 9*x**4 + x**2 + 1515*x + 7.\nAnswer: -66300*x**2 - 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/18)*u*u\/(u*((u*u**(-6))\/u)\/u))**(-14) assuming u is positive.\nAnswer: u**(-1127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 3082*v + 1552*v + 1578*v.\nAnswer: 48*v + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -119*v**3. Let i(j) = -7*j**3. Determine 105*i(t) - 6*x(t).\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2217457, 4434900, 6652343, 8869786, 11087229?\n\"Answer: 2217443*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o**2 + 0*o - 2 + 9681\/4*o**4 - 5\/3*o**3. Let d be s(5). What is d rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2 - 18)\/((-28)\/(-28)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnhn when four letters picked without replacement from nuuuuhcn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 7929*g - 15854.\nAnswer: -(g + 2)*(g + 7927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 4*o. Let r be j(-3). Suppose 0*h - 26 = h + 4*k, 2*k - 36 = r*h. What is the remainder when 11 is divided by (h\/3)\/(22\/(-33))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.069 - -7.199. Let h = -42 - t. What is h rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71345 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3123940685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 5*x + 1 + 0 + (-2*x + 4*x + 0*x)*(-1 + 0 + 3) + 3*x + 0*x - 2*x)*(11 + 69 + 14)*(0 - 2 - 3)*(3*x**3 + 2*x**3 - 2*x**3) - 5*x**3 + x**4 + 5*x**3.\nAnswer: -8459*x**4 - 1410*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1672*f**2 + 2166*f?\nAnswer: 3344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4504*p - 69737 + 63920 = -203993 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4) + (-10)\/(-35) + (-1719)\/(-84). Let y(n) be the first derivative of 2\/13*n**2 - x + 2\/39*n**3 + 0*n. Factor y(s).\nAnswer: 2*s*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose y + 3*a - 7 = 0, 0*y - 5*a + v = y. Let l = y + -6. Is l equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 462224180.6 to the nearest 100000.\nAnswer: 462200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 14530334?\nAnswer: 14530316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4 + 4 - 6*q. Let l(m) be the third derivative of -m**6\/72 + 7*m**3\/6 - 25*m**2 + 2. Let f(w) be the first derivative of l(w). Calculate d(f(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -y - 4*x, -6 = y + 6*x - 5*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 14*u + 7*u + 10*u + (-3 + 2 + 2)*(u - 3*u + 0*u))*(-1 + 1 + 1).\nAnswer: u + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 + -8 + -19 - -31?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21817 - 76*d + 21817 to the form i*d + g and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 7, 9, 45, 3, -1.\nAnswer: -33, -1, 3, 7, 9, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q + 6. Let g(j) be the first derivative of -j**2\/2 + 14. Let c(h) = 120*g(h) - 5*n(h). Find the first derivative of c(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -13*h + 24. Solve 6 = -5*b + h*i + 23, 0 = 4*i + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -331*d + 196. Let p(g) = -1158*g + 687. Let s(r) = 5*p(r) - 18*w(r). Differentiate s(h) with respect to h.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y + 6. Let h(n) = -19*n - 13. What is 13*d(c) + 6*h(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273357, 273770, 274183, 274596, 275009?\nAnswer: 275422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/7 - 269362*d\/7 - 12897120 = 0 for d.\nAnswer: -134345, -336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 426510750 to the power of 1\/2, to the nearest integer?\nAnswer: 20652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1453414705.62 and -2.\nAnswer: -1453414707.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2319*n**2 + 330*n**2 - 1127*n**2.\nAnswer: -3116*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*f - 180 = -1290*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2))\/(b**(3\/5)*b)*(((b*b**(-1\/17))\/b)\/b)\/b**(3\/7) assuming b is positive.\nAnswer: b**(-2432\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(5\/9))*a)\/a)**(-3\/16)\/((a*a\/(a*a**26*a*a)*a)\/(a**(-37)*a)) assuming a is positive.\nAnswer: a**(-485\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 1184.\nAnswer: 1184.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3 - 0. Let o(x) = x**3 - x + 1. Let c be o(f). Let k(l) = 12*l**3 + l - 1. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 2*i + 2. Let f(h) = -4*h - 1 + 5*h - 4*h**2 + 3*h**2 - h**3. Calculate 2*f(w) + p(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509526 is divided by 468?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/2, -10, -3, -8, -90\/41.\nAnswer: -10, -8, -3, -90\/41, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:28 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 2)*(0 + 5 - 1)*(947*b**2 - 947*b**2 + 118*b**3).\nAnswer: 3776*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*r - 2, 5*x - 8*r = -13*r + 30. Suppose d + 2*t - 11 = -x*t, 4*d - 29 = -t. Calculate the remainder when 26 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 210181*t = 210185*t - 4, -4*u = t - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + ((sqrt(612)*3*1)**2 - sqrt(612)).\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-6591.618.\nAnswer: 39549.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1417589*f**2*h - 8*f**2 - f - 35769 wrt h.\nAnswer: 1417589*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3497 + 18931*t**4 - 7685*t**4 + 1750 + 18879*t**4 + 1747)*(2 - 2 - 1).\nAnswer: -30125*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3) + -4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.059 + -0.032. Let h = 3.027 - q. Which is the smallest value? (a) 0.3 (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - -1. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31837966781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5939\/3 - 2001. Which is greater: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) - (-1*sqrt(19) - sqrt(19))*-4) + 4 + ((sqrt(19) - (sqrt(19) + sqrt(95)\/sqrt(5))) + 3 - (sqrt(152)*-2)\/sqrt(8)))**2.\nAnswer: -476*sqrt(19) + 22013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.045 - -521.955. Let r = w + -517.54. Let a = r - -1.24. What is a rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at least -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7373, -26, 2, -1 in increasing order.\nAnswer: -7373, -26, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f + 17*f - 27*f + 4*f**3 to the form s*f**3 + c*f**2 + l + o*f and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 2*h**6\/15 + 13*h**5\/20 + 11*h**4\/12 + h**3\/3 + 2*h. Factor r(d).\nAnswer: d*(d + 1)*(d + 2)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 54. Let l be 5\/4*(115\/(-5) + n). Let t = -5 - l. Solve -5*j + 5*h = -0*j + 15, -5*h - t = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302040 - -2?\nAnswer: -302033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let a(v) = -12*v - 24. Let h(q) = -a(q) + 24*b(q). Let g(k) = 60*k. Calculate -5*g(x) + 24*h(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4110 = -174*r + 206*r - 1262 for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-10))\/(9\/60). Let q = o - 6. Solve 2*t - 5*a + 15 = 0, 0 = 3*t - q*t + 2*a - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13177, 13156, 13135, 13114, 13093, 13072?\nAnswer: 13051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-3)**2 + (-2 + (-3 + sqrt(3))**2 - sqrt(3)) - ((sqrt(3) + (sqrt(12)\/sqrt(4))**2)*-3 - (-1 + (sqrt(300))**2 + sqrt(3) - sqrt(3))).\nAnswer: -4*sqrt(3) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 42 = -2*z. Let t = -7 + z. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1010, -1889, -2690, -3383, -3938, -4325?\nAnswer: -4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 - -129. Let u(d) = -72*d**3 + d**2 - 3*d - 3. What are the prime factors of u(s)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-3))\/(2\/28). Let f = -5 + z. Calculate the remainder when 16 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2 + 0*r**3 - 1\/4*r**4 + r + 0*r**2. Let n(f) be the first derivative of g(f). Let h(p) = -p. Give n(h(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20111 (base 3) to base 15\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)\/m)\/(((m*m**(2\/13))\/m*m)\/m))\/((m*m**6*m)\/(m\/(m**(-1\/7)\/m))))\/((m*m**(1\/4))**48*(m*m*m**(2\/5)*m)**(-37\/2)) assuming m is positive.\nAnswer: m**(-1643\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-10)*(-20)\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*b + 5*c, -4*b - 3*c - c = 12 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*h + 1691 = -299*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-2*j**3 + 3*j**3 + 2*j**3 + (-2*j + 5*j - 5*j)*(-73*j + 73*j + 15*j**2)).\nAnswer: 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600958.\nAnswer: 2, 487, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10))**(-2\/11)\/((i**5*i)\/i)**8)**33 assuming i is positive.\nAnswer: i**(-1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -1763, -2647, -3517, -4367, -5191, -5983?\nAnswer: -6737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14400557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 23. Let x be k(-4). Suppose -2162 = -x*u - 611. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 88, 158, 248, 358?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 64691?\nAnswer: 452837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 766750 (base 11) in base 14?\nAnswer: 23c151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 54*g + 4*g**3 + g**3 - 37 + 73 as a*g**2 + o + y*g**3 + f*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 x when four letters picked without replacement from xxllolxxxrl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 813976.4034 to the nearest one thousand.\nAnswer: 814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/22? (a) 0.3 (b) 2\/51 (c) 4 (d) -0.1 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 3\/5, -44?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (-16 - -18) + 0 + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 695709 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: (-21)\/(-49)*(-14)\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-1*(-97)\/(-485))\/(-1). Which is the fourth biggest value? (a) 0 (b) -15 (c) z (d) 3\/2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148363629 divided by 49454543.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -659*f*o + 27*o - 14 wrt f?\nAnswer: -659*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*l**5*q - 107*l**3*q + 2*l**2*q**2 + 125*l*q**2 - 29*l*q wrt l?\nAnswer: -700*l**3*q - 642*l*q + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3880 + -3926?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34023014 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 30. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {e: 1, v: 1, p: 1, i: 2, y: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185355?\nAnswer: 3, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17019311, -34038602, -51057893, -68077184?\n\"Answer: -17019291*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*o = -652, -10*k + 4*o + 1653 = -5*k. Calculate the highest common divisor of 94 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -4 - sqrt(468)) + (sqrt(13) + sqrt(13) + (-3*sqrt(208) - sqrt(13)))**2.\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 27. Let d be t(9). Solve a = -3*a + 2*o - 4, d = 5*a - 2*o + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11532, 11446, 11352, 11250?\nAnswer: 11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*s - 21 - 6, 0 = -4*s - 3*c + 3. Let q be (-14)\/(-21)*21\/2. Find the third derivative of 0*m**s + 3*m**2 + 3*m**3 - q*m**2 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 4*x - 1. Suppose -3*q + 2*d - 9 + 28 = 0, 7 = 3*q + 4*d. Let a(n) = -5*n**2 + 5*n + n**3 - 6 - n - 2*n. Let b be a(q). Determine l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -32\/3*k**2 - 49 + 10\/9*k**3 + 1\/6*k**4 + 24*k. Determine x so that f(x) = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) -3\/7 (c) -2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 14844?\nAnswer: -14842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82610a (base 13) to base 3.\nAnswer: 12201111020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h + 2. What is the tens digit of r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 315 + 22021?\nAnswer: 22336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143938.\nAnswer: 2, 571969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 112*j**2 + 4170*j - 161. What is v(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 9*c - 1897. Let j = -82 + c. Suppose 4*w - j = 219. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 31, 79, 177, 343, 595?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 504210, 1008422, 1512634, 2016846, 2521058?\n\"Answer: 504212*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 21, 1, 5, 1\/4, 3\/5, 1289?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/5*((-1724)\/(-3017))\/(5\/175)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17) + -2 + -2.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 2 (c) 4 (d) -533\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*g - 8, 0 = 4*m + 4*g - 120. What is the least common multiple of 3 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 460b38 - -40?\nAnswer: 460b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 19938090 to the nearest 10000.\nAnswer: 19940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195.3 + 177.3. Which is the biggest value? (a) k (b) 0.05 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(288)*-1)**2 - sqrt(288))) - (sqrt(288) + 1 + -2 - -2*(2*sqrt(288) - sqrt(288) - sqrt(288))).\nAnswer: -854 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1473 - 1493) + 992\/50.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -19926144 divided by 36\nAnswer: -553504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*j**3 - 8*f**2*j + 684*f**2 + 4*j**2 with respect to j.\nAnswer: -6*f**2*j**2 - 8*f**2 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 1140*l**2 + 477000*l - 39150000.\nAnswer: -2*(l - 150)**2*(l + 870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175\/27 - 166\/27. Suppose 0 + 7\/6*f**4 + 11\/6*f**2 - n*f - 8\/3*f**3 = 0. Calculate f.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/65 + 4\/13. Suppose 2*w = 4*b + 8, 2*b - 3*w + 12 = -0*b. Let s*p**3 - 1\/5*p**2 + b*p + 0 - 1\/5*p**4 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(2\/7)))\/i*i*(i*i**(-1\/2))\/i*((i\/i**(1\/9))\/i)\/(i*i*i\/(i\/(i**(-1\/6)*i))) assuming i is positive.\nAnswer: i**(-235\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 616985.9 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/4 + 850731*d**3\/4 - 6806025*d**2\/4 + 4253925*d\/4 + 21268875\/2 = 0. Calculate d.\nAnswer: -283585, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1278 - -1278.3. Let w = 0.05 + -0.35. Let r = 0.7 - w. Which is the biggest value? (a) g (b) r (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -555, -17, 38 in decreasing order.\nAnswer: 38, -3, -17, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34\/7? (a) 1\/24 (b) -0.3 (c) 30 (d) -4 (e) -0.03 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21074 is divided by 3012?\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.3 + -6.4. Let z = -2 - h. Let f = 3 - 3.5. Is z not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 6*z**2 + 2*z - 19*z.\nAnswer: -3*z**2 - 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) - (sqrt(13) + 1)*6)*-6)**2.\nAnswer: 54000*sqrt(13) + 324900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924*p**2 - 145 - 137 + 562 - 140 - 730*p**2 - 140.\nAnswer: 194*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + (-3106)\/(-78). Let x = 39 - q. Let c = -32 - -289\/9. Sort x, c, 0 in increasing order.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -676 - -1004. Let h = -267 + i. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 1451, -2, 1, -1, -4 in decreasing order.\nAnswer: 1451, 21, 1, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 165\/(-12). Let q be (-223)\/9 + d\/(-63). Is 3 - q*(-1)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 + 47*l**2 - 39*l - 80576?\nAnswer: 8*l**3 + 94*l - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1500172, 1499830, 1499262, 1498468?\nAnswer: 1497448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2332 (base 4) to base 8\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/20 and -99\/188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7312 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 26*k - 9. Let l(j) = -j**2 - 9*j - 3. Let f(s) = 11*l(s) - 4*p(s). Let d(r) = -5*r**2 + 9*r + 5. What is 4*d(x) - 7*f(x)?\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93213?\nAnswer: 3, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3190, 13098, 29724, 53068, 83130?\nAnswer: 119910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - (79 - (30 - -33)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 2*p + 45. Let v be 12\/(-54) + 2\/9. Let a be b(v). Solve -4*z = 4*m, -3*z + 5*m - a = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2578*c - 1372*c = 1385*c + 3222 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 21*q**2 - 20 + 20.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/3 - 1477*l - 3. Let k(d) = -635*d**2. Determine k(n(r)).\nAnswer: -2540*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299) + 2)**2 + sqrt(19) - ((sqrt(133) + -2*sqrt(133) + sqrt(133) + sqrt(133) - sqrt(133))\/sqrt(7) + 5).\nAnswer: 45*sqrt(19) + 2301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*x + 6, 0 = k + 5*x - 9*x + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81334 by -40667.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.9 and 0.011009.\nAnswer: -8.888991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/24 - 15*j**3\/4 - 47*j**2\/2 - 1492*j. Factor g(b).\nAnswer: (b - 47)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rylegnrnrgnlnnnrng. What is prob of picking 1 e and 1 r?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -1)*1\/(-6). Let v = -2487 + 2487.1. Which is the nearest to -2\/15? (a) -4 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + (-6 + 1 - -8). Suppose 0*s + 2*s = i, -u*i = 5*s. Solve 0 = 3*g - i - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.39 + -3.41. Let q = v + 9.9. What is the closest to q in -2\/15, 0, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330751*l**3 - 2*l**2 + 320*l - 661.\nAnswer: 1984506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150120 rounded to the nearest one thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1528\/168)\/(-191)*-9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)**1 assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 325736.3?\nAnswer: -48860.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68 and 11286.\nAnswer: 11354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/((-9)\/(-3))*(-147)\/12. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35130.\nAnswer: 2, 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.7 + -39. What is the closest to -0.1 in -5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349222897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 4*z**2 - z**2 + z**2 - 8*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z**2 - 1)*(2 - 2 - 2*z) + (-155430*z + 2*z**2 + 324 + 155430*z)*(-z + 1 - 1 + 2).\nAnswer: -6*z**3 + 4*z**2 - 324*z + 648","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48549.69 * -122.\nAnswer: 5923062.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 588024479 a multiple of 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 6. Let a be r(5). Suppose 0 = 4*l - 5*h + 25, a*l + 0*h = -h - 19. Put 5, l, 2 in increasing order.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010000110100111111101 (base 2) to base 6\nAnswer: -402355553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in 1\/2, 2\/5, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 37186\nAnswer: 185930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2)*-2*1\/2. Suppose -5*z = d - 55, -2*d - 2*d - 20 = t. Suppose -z*f = -11*f - 165. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191\/28 - 53\/7. Let z = 3.3 - 3. Let v be (-40)\/(-99) - (-6)\/(-27). Which is the third smallest value? (a) f (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291dc (base 14) to base 4.\nAnswer: 120320132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-2))\/(235\/1410)*2\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 158.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8191, -5, -42 in decreasing order.\nAnswer: 8191, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66671, 133328, 199985, 266642?\nAnswer: 333299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*y - 2 + 4*y**3 - 10*y**3 + 122*y)*(-2 - 2 + 3).\nAnswer: 6*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 4971*h - 4981*h + 9952*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42630\/1305*((-27)\/21)\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 561 + c69e?\nAnswer: cc10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 70. Calculate the remainder when 110 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(1 + -2))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32992679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.8657 + 0.0343. Let y = -57 + p. Let o = 4 + y. What is the closest to o in -3, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 844 divided by -9\nAnswer: -844\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - -3) + 1)*2\/(-4). Let p be (a + 0)\/(-3 - 4\/(-2)). Suppose p*r - 30 = -2*r. Solve -4 = 2*q - 4*v, 5*q - r*v + v = -5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 4*g + 12. Determine b(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 11. Let x be (6\/i)\/(1\/2). Solve 8 = 4*j + 3*k, 0*k - 3*k = -x*j + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.94595 meters to millimeters.\nAnswer: 93945.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*u - 72 = 0, -409*l + 122 = -400*l - 5*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-49) - (-779)\/(-1155). Let w = -1\/33 + j. What is the smallest value in -5, w, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642 (base 11) to base 6.\nAnswer: -3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (438\/(-12) + 9)*-36. What is the greatest common divisor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 + 195. Suppose 5*g - k = -0*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {u: 1, p: 3, x: 2, i: 4, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 901 = -61*l - 816 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004310347732 to six decimal places.\nAnswer: 0.000431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 + 10*s**3 + 21*s**2 - 8*s**3 - 20*s**3.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 g, and 1 a when four letters picked without replacement from {r: 4, g: 4, a: 9, b: 3}?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002493929 to six dps.\nAnswer: -0.002494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -37, -171, -433, -865, -1509, -2407, -3601?\nAnswer: -5133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 3*h**2 + 7*h - 3. Let x(i) = 7*i**2 + 18*i - 3*i**3 + 7 + i**3 - 14*i - 16*i - i. Give 7*w(t) + 3*x(t).\nAnswer: t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/2 - 0*(-3)\/(-9). What is the second biggest value in d, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277.7 - -277.3. What is the nearest to 2\/7 in -1\/3, 4\/29, z?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 22 + -22 + 43 - 30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 860, 855, 846, 833?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 263 - 2882 - s - 1518 + 0*s + 2*s in the form y*s + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**2*m**2 - k**2*m - 23889013*k**2 + 2*k*m**2 + 1538243*k*m - 11*m**2 wrt k?\nAnswer: 8*m**2 - 2*m - 47778026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 101 (b) -2\/5 (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 - 44110*d**3 + 113400785*d**2 - 71088469980*d + 12986562889620 = 0. Calculate d.\nAnswer: 402, 4009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-22) - (-4)\/22. Solve b + 15 = u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:05 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740231301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*q - 13, -220*x - q - 23 = -215*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 9*z + 9. Let i be f(8). Let p be i\/(-3) + 6\/18. Suppose -3*j = -p*j. Solve k - 1 = 3*u, -5*k - u - 18 - 9 = j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -118?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2 - 240*u - 1)*(0 + 5 - 4) as g + n*u and give n.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 869 + -872. What is the second smallest value in -18.2, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848*l = 1851*l - 2409. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4721 - 2501. What is t rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2359 and -479?\nAnswer: 1129961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47879 = -154*z - 84*z - 174*z - 9151 for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (26*-10 - 4). Let v = c + -272. Sort -18, v, 5 in decreasing order.\nAnswer: 5, v, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 18 - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 times 0.31?\nAnswer: -0.2263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -41*r**3\/6 - r. Let x(f) = -33*f**2 + 16*f**2 + 18*f**2. Give x(w(q)).\nAnswer: 1681*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 38*f + 44. Suppose i = -6 + 26. Let d be o(i). Solve 4*t + 18 - d = -2*v, -4*t = -3*v - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 122 + (3 + -1)*-1. Let s be (9\/12)\/((-5)\/v). Let q = -12 - s. Solve -4*j + q = y + 15, 4*j = 2*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + 0*c**2 - c**2 + 11*c**2. Let p be u(1). Solve 2*v + p = -4*z - 9, v + z = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(((z\/z**(2\/9)*z)\/z)\/z))*z**(-9))**35*(z**(-6)\/z**(-4))\/(z**(1\/2)*z*z**(-2)) assuming z is positive.\nAnswer: z**(-5207\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 2 - 2)*(9*d + 2*d + 9*d) as f + r*d + q*d**2 and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.808319 micrometers to nanometers.\nAnswer: 6808.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/7, -29 in decreasing order.\nAnswer: 1\/7, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14240 divided by 178.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*d**3\/3 - 40*d**2\/3 + 35*d.\nAnswer: -5*d*(d - 1)*(13*d + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(31\/2)*g\/(g\/g**10))**8 assuming g is positive.\nAnswer: g**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f + 26*f**4 - 5*f**2 + 9*f - 3*f**6 + 4*f + 3*f**4 wrt f.\nAnswer: -360*f**3 + 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*k**2 + 16*k - 12 - 16\/3*k**3 - 4\/3*k**4.\nAnswer: -4*(k - 1)**2*(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7627960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447 greater than 7447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, 3\/2455, 0, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 27, 55, 95?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -13, -17, -19, -19, -17, -13?\n\"Answer: w**2 - 9*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = 2*n, -2*n - 2*n = 2*a + 22. Let s = a - -45. Suppose 5*b + 4*v = 241, 3*v + s = b - 16. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 <= 25\/10732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11825918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -50 - b + 24 + 26. Let y(i) = i. Let f(n) = -13*n. Let o(a) = -f(a) + 6*y(a). Give q(o(t)).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8039076 to the nearest integer?\nAnswer: 2835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*k + 60 = -121*k + 4*r, 3*k + 3*r = 15. Let c = 8 + -6. Sort k, c, -7 in descending order.\nAnswer: c, -7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r + 11*r + 6611 - 6611.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18)*t*t**10*(t**1\/t)**6)**(-7\/3) assuming t is positive.\nAnswer: t**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 5*i**2 - 4. Let a(p) = 2*p**3 + 4*p**2 - 3. Suppose 0 = 10*h + 36*h - 414. Let t be -8 - -3 - (h + -11). Give t*q(c) + 4*a(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1323 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Let m = -15301 + 15299. Let r be (-3)\/6 + 9\/10. Put m, a, r in increasing order.\nAnswer: m, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*(-4)\/32 + (-8)\/4*5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.59021ug in kilograms?\nAnswer: 0.00000006259021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -43*x + 0 + 3 - 6. Let p be a(6). Is 13 a factor of (p\/6)\/3*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:25 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 202.04.\nAnswer: -60.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 126, 238, 404, 630, 922, 1286, 1728?\nAnswer: 2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1337 and 6.\nAnswer: 0.8022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 447, -4, 7 in descending order.\nAnswer: 447, 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -0.04. Let k = 0 - 1.4. Let c = k + i. Round c to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.82741 litres?\nAnswer: 68827.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1504\/9, 8\/5, 97\/2 in ascending order.\nAnswer: -1504\/9, 0.3, 8\/5, 97\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {l: 1, s: 9, e: 3, u: 1, a: 1, y: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 14*z**3 + 28*z**2 + 16*z = 0. Calculate z.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630834345 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.4, -10.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -40.9. Let i = d + -3.8. Which is the closest to 2\/3? (a) 3 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7535.15 + -7535. Let l(f) = 5*f**2 + 9*f. Let t(v) = 9*v**2 + 17*v + 1. Let g(w) = 11*l(w) - 6*t(w). Let h be g(5). Put m, h, 3\/7 in descending order.\nAnswer: h, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573299371?\nAnswer: 4079, 140549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -3*o**4 - 15*o**3 - 12*o**2 + 9*o - 11. Solve c(y) = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2176 and 93\/698.\nAnswer: 759424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:23 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 13 = -5*l, -2*v + 3*l - 2*l - 8 = 0. Let b be (36\/(-16))\/(v\/8). Suppose 20*m = 1207 - 1127. Solve -c + b*c = -u + 3, 5*c - 12 = -m*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19548.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/(39\/8). Sort 2, u, 1\/8.\nAnswer: u, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2656282 >= -2656549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 36 - (1 - 5) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93, -1966, -5351, -10062, -16099, -23462?\n\"Answer: -663*d**2 - 70*d + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 - 23155*z**2 - 35429675*z - 17937747165 = 0?\nAnswer: -1833, -1399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 912873307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/(x**(-1\/4)*x))\/(x**7*x**(-2)\/x)*x\/((x*x*x\/(x*x\/(x\/x**5)*x))\/x*x)*x**(-2\/5)*x*(x\/(x*(x*x**(-2\/7))\/x*x*x))**(-1\/4) assuming x is positive.\nAnswer: x**(1159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)*k)**44)**38 assuming k is positive.\nAnswer: k**(-16720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-1)\/(-2))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb + 5?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Calculate the common denominator of -26\/7 and t - -5 - 12\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7439177 rounded to 2 decimal places?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -5*o. Suppose -h - 2*h + 5*x + 19 = 0, -2*h - 5*x + 46 = o. Calculate the remainder when 35 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/90*5*(-6)\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -70*h**3 - 70*h**2 - 55*h + 55. Let f(w) = 5*w**3 + 5*w**2 + 4*w - 4. Determine 55*f(m) + 4*q(m).\nAnswer: -5*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2 + 6 - 80*f - 13 + 22. What is the hundreds digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 - -264. Let z(k) be the first derivative of 20 + 0*k + v*k**5 - 7\/6*k**6 + 0*k**2 + 0*k**4 + 25\/3*k**3. What is the third derivative of z(s) wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 100*n**3 + 93*n**2 - 39*n - 16. Let t(i) = 26*i**3 + 23*i**2 - 10*i - 4. Calculate 6*h(a) - 23*t(a).\nAnswer: 2*a**3 + 29*a**2 - 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 36*t + 8805. What is y(-244)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/27 and 79\/127623.\nAnswer: 1148607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186*i**4 - 66*i**3 + 8*i + 3034996 wrt i?\nAnswer: 744*i**3 - 198*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24238, 48477, 72716, 96955, 121194?\nAnswer: 145433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 - 3*u**2\/2 - 2*u - 1. Suppose 5*j + 12 = 9*j. What is c(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -16*d**3 - 25*d**2 - 58*d - 16. Let o be t(-2). Calculate the greatest common factor of 492 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 6*n + 15 - 4*n + 17.\nAnswer: -n + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422.5421 rounded to 1 decimal place?\nAnswer: -2422.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 14) + -3 + -64 - -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd85 - 17?\nAnswer: -cd9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6849995 divided by -1\nAnswer: 6849995","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 11 + 32)*(-r - 3*r + 2*r) + 82*r + 11*r + 48*r.\nAnswer: 83*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/12 + 3*o - 4. Let p(j) be the first derivative of t(j). Let q(m) = -2*m**2 + 5 + 0*m**2 - 5. Give q(p(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149205 and 352408.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/6 (b) -5\/29 (c) 0 (d) -0.2 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 68. Let k = 99 + i. What is the remainder when k is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -74, -109, -146?\n\"Answer: -u**2 - 30*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2208186.921 * -5.\nAnswer: 11040934.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306*n + 14 - 299*n + 601*n)*(-4*n + n + 2*n).\nAnswer: 4*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -813*r**4 + 373*r**4 - 13501*r**2 - 508*r**4 wrt r?\nAnswer: -22752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2 + 2*o - 2. Let a be q(2). Let w be (-6)\/9 - 94\/a. Calculate the remainder when 7 is divided by 6\/(-15) + 51\/w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-2*sqrt(270)*6)\/(-1*sqrt(36)\/sqrt(4)))\/(-5*(5*(sqrt(10) + sqrt(30)\/sqrt(3)) + (sqrt(160)*3 - sqrt(10)))))**2.\nAnswer: 16*sqrt(3)\/35 + 4948\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.690070767 + 23?\nAnswer: 172.690070767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - j = -8, 0*h + 2*h = -5*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -0*l + 273. Suppose 3*a = 2*n + 4 + l, -4*n - 73 = -5*a. Suppose -5 = 4*v - a. Calculate the greatest common divisor of v and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131606 is divided by 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/p*p*p*p**(3\/8)*p)\/(p**0*p)**(9\/2))**37 assuming p is positive.\nAnswer: p**(-407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 2508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfs when three letters picked without replacement from giggggggzsifsqgigsf?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/33? (a) -2\/5 (b) -2\/3 (c) 1\/4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*f + 4970086 = 4963882 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14065 and 8245.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 - 2*z + 4 - z**2 + 1. Let y be p(-3). Let s(a) = a**2 + 13*a + 27. Let b be s(-11). Put -3, y, b in descending order.\nAnswer: b, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1139*t**3 + 16*t**2 + 21*t + 4. Calculate v(-1).\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = g - 3*y + 3, 3*g - y - 162 = 0. Let i be 10\/g - (-39)\/(-33). Is -4 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100110001000101 - -11100011?\nAnswer: 1011100110100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 281131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-28)\/(-8))\/1 - 0)*10. Suppose -j + a = 6*j. What are the prime factors of -3 - (1 + -13*j)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 567864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-3) - (-33 - -27))\/((-24)\/18). Let y be (3\/(-2))\/((-726)\/(-88)). Which is the closest to -0.4? (a) -2\/23 (b) q (c) -4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 770\/513 + -32\/27. Suppose h - h = 6*h. Find the common denominator of i and (-2025)\/120 + h + 5.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -73. Calculate the remainder when 18 is divided by z\/(-8) + 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54162 divided by 5?\nAnswer: -54162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385902 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280712 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 + 1550*z + 6120 = 0.\nAnswer: -306, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -543 - -552. Suppose -16*s - f*s + 1350 = 0. Calculate the lowest common multiple of 9 + (1 - 0 - 1) and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -576*n + 1692. Calculate t(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 10. Let w be g(5). Put 17, w, -3 in descending order.\nAnswer: 17, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 4*i - 17*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-10) - 60138\/(-15)) + 1. Suppose -16*f + 6*f = -q. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 12*a + 69 = 2*t - 22*t, 4*t - 5 = 2*a + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23368?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*r + 23*r + 32*r - 4*r + 424 + 2390*r**2 - 399 wrt r?\nAnswer: 4780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u + 17. Let h be g(5). Let p(s) = -7*s**3 - 8*s**2 + 6*s + 6. Let q(t) = 15*t**3 + 17*t**2 - 13*t - 13. Calculate h*p(x) - 6*q(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -16, -5, 8, 23?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -16. Let p(l) = 4*l**2 - 3*l + 3. Let z be p(2). Suppose z = o*s + 5. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*v - 32, 150*l - 42 = -5*v + 146*l for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, l: 3}. What is prob of sequence clll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 626677 - 4?\nAnswer: 626673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*f - 140 + 5505*f + 1136*f - 225*f + 4717*f with respect to f.\nAnswer: 11063","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1020\/495*(-210)\/112 and 25\/2154.\nAnswer: 23694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951748545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 11*s - 147. Let c be r(7). Solve 14*a - c + 119 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 143217*v**2\/2 + 2578149*v\/2 + 11602035\/2.\nAnswer: -(v - 143235)*(v + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.223 * -7\nAnswer: -1.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1870, 3755, 5640, 7525?\nAnswer: 9410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27935529.\nAnswer: 3, 19, 490097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-380))\/(6\/40). Let v = k - 91\/171. What is the closest to -5 in -6, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(99) - (sqrt(99) - 2*sqrt(99)*-3)) + 3)**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215\/3 - 71. Let w(k) = 3*k + 10*k**2 - 2*k**3 - 15*k**2 + 0*k. Let d be w(-3). Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86 and 204.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at most -278\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 33 + 8*x + 6*x - x**2 + 0*x**2. Let t be k(16). Is (1602\/(-27))\/(((-4)\/30)\/t) 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 97406408?\nAnswer: 2, 11, 1106891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 0.011, -74, -3, 346, -1?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*m**2*o**2*w + 3077*m**2*o*w**3 - 99*m*o**2*w**2 + 804*m*o*w**3 - 1 wrt m.\nAnswer: -36*o**2*w + 6154*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15870*f**2 - 24099*f wrt f?\nAnswer: -31740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*p + 56 - 56.\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17751335 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.6 - 23.1. Sort -5\/3, 0, c, 17.\nAnswer: -5\/3, c, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(75) + -2 - (-1 + sqrt(3)*-1 - sqrt(3))) - (-3*sqrt(5184))\/((2*sqrt(96))\/sqrt(8)).\nAnswer: 4 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173581402.\nAnswer: 2, 86790701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -42, -22, 16, 78, 170?\n\"Answer: u**3 + u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeqeeeeewewqee. What is prob of sequence eew?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4845 - 0.5045. Let z = -8.12 + 8. Let n = z - w. What is the nearest to 0.1 in 1, -13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-50)\/360 + (-3)\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 3, j: 2}. Give prob of picking 1 j, 1 h, and 2 w.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1360132\/11 or -123647?\nAnswer: -123647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -279402, -279401, -279400, -279399, -279398, -279397?\n\"Answer: y - 279403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.45 + 2.45. Let v = 2 - 2.2. Which is the closest to -0.1? (a) -9 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 46*f**2 + 10*f + 12. Let s be p(-1). Put s, 6, -4, -5 in increasing order.\nAnswer: -5, -4, 6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -11*g**7\/105 + 6*g**3 + 47*g**2. What is the derivative of m(x) wrt x?\nAnswer: -88*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.8615 meters in centimeters?\nAnswer: 20686.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/18)\/(13\/117))\/(30\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-10))\/(2\/5). Let q = -0.9 - -0.9. Which is the closest to q? (a) y (b) -0.3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-176) + (-1)\/(-11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48cf + a?\nAnswer: -48c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4) + (0 - -2). Let v = -25.978 - -26.4. Let x = -0.022 + v. Which is the nearest to 0.2? (a) x (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6118603 milliseconds in minutes?\nAnswer: 0.000043531005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1540 and 9\/140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let n be g(4). Suppose l = j - 5*j + 47, 5*l + 77 = n*j. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -36, 145, 400?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 19*z + 13. Give d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q)**(-34)\/(((q\/(q**(-1\/3)*q))\/q)\/(q**(2\/3)*q)) assuming q is positive.\nAnswer: q**(517\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 6*c - 15 = 8*c - 3*c, -i = -4*c - 17*c + 58 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*n - 944 = -226*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i + 692. Calculate the remainder when b(32) is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334513 (base 7) to base 16.\nAnswer: e773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 27, 100, 203, 336?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -920232\nAnswer: -7361856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 529, 498, 447, 370, 261, 114, -77, -318?\n\"Answer: -x**3 - 4*x**2 - 12*x + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, p: 8, w: 1}. What is prob of picking 1 n and 1 w?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378 + -355 + 2 + -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -9*a. Suppose -5*r = -b + 22, -r + 4*r + 15 = a. Let t = 5 + b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7097, -14243, -21389, -28535, -35681, -42827?\n\"Answer: -7146*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -1215, -4160, -9895, -19350, -33455, -53140, -79335?\n\"Answer: -155*q**3 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13652226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m + 4. Suppose 0 = -l - 3, u + 242 = m*u + 5*l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 135.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)\/(u\/(u\/((u**13\/u*u*u)\/u))*u))**(-5\/8))**(-4))**(7\/10) assuming u is positive.\nAnswer: u**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 25 - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 627 + -580. Suppose 1406 = 3*j + 2*o, 0 = -4*j + 7*j - 5*o - 1420. What is the highest common divisor of j and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7616376 to 2 decimal places.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 7*v**2 - 9*v - 10. Let h = -58 - -50. Give p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**2 + 2*s**2 - 2*s)*(-23 - 42 + 48).\nAnswer: 17*s**2 + 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k. Suppose k = 2*y - 2*h - 22, 3*y - y - 19 = 3*h. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/120 - g**5\/12 - 6*g**3 - 104*g**2. What is the first derivative of s(p) wrt p?\nAnswer: 3*p**2 - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/103614 and 93\/118874?\nAnswer: 879786474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003342167 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 279, 274, 269, 264, 259, 254?\n\"Answer: -5*c + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45203*5.\nAnswer: 226015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -465548 - -861658. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210101 - 1?\nAnswer: 22210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-765)*5\/(-14)*12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11076 or 11075?\nAnswer: 11075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/(-10) - -4 - -6. Let v = 7 - 3. Suppose g*b = v*b. Solve 5*s - 6 - 14 = b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = 2*q, 4*q - 4*m + 4 = -3*m. Solve -3*r - 4*i + q*i = -17, -5*r - 4*i + 23 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((y**2\/y)\/y)\/y*y)\/y*y*y\/((y**(1\/2)\/y*y)\/y))\/(y**(-6\/5)*y\/y**5*y))**(-24) assuming y is positive.\nAnswer: y**(-804\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**3 + 2*l**3 - l**3 - 2*l + 2*l + (5*l**2 + 0*l**2 - 3*l**2)*(-2 - l + 2) + 3*l**3 + l**3 - 5*l**3 - 3*l**3 - 4*l**3 + 4*l**3)*(3 - 3 - 2).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - z. Let b be f(-1). Let x be 1\/(-12) + 3172\/624. Solve 3*h = x*w - 35, 11 = -w + h - b*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35244034 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppwppfwpppppppppppp. What is prob of sequence ww?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 12*f + f**2)*(8 + 3*f**2 - 20 + 11 - 22*f) + f**4 - 3*f**4 + 6*f**4.\nAnswer: 7*f**4 - 22*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -0*k + 108. Suppose k = 3*l - 0. Factor -13*b**4 + b**4 + 13*b**l + 3*b - 4*b.\nAnswer: -b*(b - 1)*(3*b - 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9951)\/62*2\/(-3). Let o = -750\/7 + p. Which is smaller: o or 0.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from pyyyp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w - 5. Let c be l(9). Let r = -22 + c. Determine x so that 4*x + r - x**2 - 3 - 1 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -64.\nAnswer: 83\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*m - 9793 - 11957 = 1612 + 5538 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/468278 and 8\/23.\nAnswer: 10770394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01505788 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 1238 - 2312 = 24*t. Which is greater: t or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 1.42 and -695.\nAnswer: -986.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/(16\/(4\/(-1))))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 13) to base 7\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 4, 61, 3 in ascending order.\nAnswer: 1, 3, 4, 8, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87864 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14281*j*k**3*s**2 - j*k**3*s + 48*j*k**2*s - 426*j*k - 3*j*s - 48*k**3*s**2 + 2*k*s wrt s?\nAnswer: -28562*j*k**3 - 96*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/209976 and 3\/5512.\nAnswer: 11128728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/2 - 13591*b\/2 - 252118 = 0.\nAnswer: -37, 13628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 12*l**2 - 11*l + 2. Let d be n(10). Suppose 2*x - 2*c = 54, 3*c - 26 = 2*x - 84. What is the highest common divisor of x and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318096 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/35)\/(320\/(-64))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282145521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let f be v(5). Suppose -159 - 141 = -f*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4462985, -8926014, -13389041, -17852066?\nAnswer: -22315089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 0.9, -2\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let v(n) = 2*n - 1. Let a be v(s). Are 2\/11 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -4*l. Sort -7, l, 2 in ascending order.\nAnswer: -7, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618818 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 32 = -104. Let w = 603 + -1753. Let p = -1102 - w. What is the remainder when p is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1738)\/237*5*(-4758)\/1430?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 5) to base 15.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25))**(-1\/21) assuming o is positive.\nAnswer: o**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6244 - -6248. What is the remainder when 1507 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-605078)\/(-36660))\/(-157) - (-1)\/26?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1075355159 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -2\/5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 28*w - 97. Let f be b(-21). Let l = 64 - f. Put l, 3\/2, -1 in increasing order.\nAnswer: -1, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 871, 869, 865, 859, 851, 841, 829?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. Suppose -o*k = -4 - 2. Find the third derivative of r**2 + r**3 + 2*r**3 + 8*r**2 - k*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 45. Let x be a + 4\/1 - 20\/14. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 55?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 684*y - 664*y + 140 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8101634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76859128201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02423 + 0.37577. Let x = -0.2 + 0.3. Which is the nearest to -7\/6? (a) 0.3 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + -4 + -5 + (-1 + 2 - (153 + -160))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 6 + 6*m**2 - 16*m**2 + 5*m**2 + 4*m**2 - 3*m. Let v = -16 + 10. Determine n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072409 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 2:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1488125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/1026 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 185*m**2 + 354*m - 3716. Determine p(-187).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377bb4 (base 15) to base 8.\nAnswer: 12110721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose 10 = 3*r - q. Sort 1, -1, r in descending order.\nAnswer: r, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -312.2.\nAnswer: 56.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**5\/60 + r**4\/2 - 8*r**3\/3 + 2*r**2 - 5*r. Let q be 14\/(-7) + (15 - (-4)\/(-4)). Calculate d(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -532125 and -11?\nAnswer: 5853375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1521 - 2295. Let s = 1475\/2 + h. Find the common denominator of s and -49\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*-1 + (-2 - -2). Let l(b) = 18*b**2 + 18*b - 28. Let j be l(2). Let d = j - m. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -128. Which is the third smallest value? (a) -3 (b) -0.4 (c) h (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-35)\/((t*t*t*t**(1\/5))\/t))**(-1\/20) assuming t is positive.\nAnswer: t**(93\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 93, 33, -73, -237, -471, -787, -1197?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-4 + -13 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 - 7*o - 1. Let t be n(5). Let g(c) = c**2 + 13*c + 23. Let p be g(t). Let x = -612 + 617. Solve 5 = -x*k, -3*k + p = 2*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37125 divided by 5\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 + 2*c - 15. Let k(h) = 4*h**2 - h + 7. What is 13*k(t) + 6*p(t)?\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 83 + 29 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*j = 138002 - 130358 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = 2*z, 6*z = 10*z - 4*u - 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -2*x + 0 + 0*x**3 - 81*x**2 - 73\/60*x**5 + 43\/24*x**4. Find the second derivative of q(u) wrt u.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/120 - y**5\/15 - y**3\/3 + 5*y**2. Let f be 2 - (1 + 5\/1). Give t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (6 - -1 - -38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 813 - 813 - 61*o**3 + 9*o**3 + (-o**3 - 3*o**3 + 3*o**3)*(-3 + 2 - 1) - o**3 + 0*o**3 + 0*o**3.\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 4, q: 1, f: 3}. What is prob of sequence hhq?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 35*x - 284. Let w be r(18). Solve -w*p = -28*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and 0.036?\nAnswer: 2.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 1.09897030518?\nAnswer: 2.09897030518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*c = -21, 4*s + 12*c = 8*c - 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000070234 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 4*y)*(-2*y**2 - y**2 + 2*y**2) + (2*y - y - 5*y)*(-y**2 + 0*y**2 + 3*y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/4)\/(3\/(-30)). Let z = t - -2. Let j = -3.04 - -0.04. Which is the second biggest value? (a) -1\/4 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -21. Let p = 4 + z. Suppose -p = -n + 4*n. Let a(h) = -4*h**3 + 7*h**2 + 9*h + 11. Let r(w) = 2*w**3 - 3*w**2 - 4*w - 5. Calculate n*r(t) - 3*a(t).\nAnswer: -2*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10001202010101 (base 3) to base 2\nAnswer: -110001101101000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 9327376*z - 18654736 = 0.\nAnswer: -2331842, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 112 = -28. Calculate the remainder when 121\/(-3 + 133\/38) is divided by i.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + m - m + (0 + 0 - 2)*(-5*m + 5*m + 3*m) + 0 + 0 - m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*p**4 - 24*p**3 + 43*p**2 + 61*p - 6568335?\nAnswer: 20*p**3 - 72*p**2 + 86*p + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/3 - 11*i**2\/2 - 7*i + 3. Let k be g(-10). Do 4 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1311 + 1.3771. Let m = q + -0.246. Which is the nearest to -1? (a) m (b) 18\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-3) + 1*3. Let v be -2 - i\/(-1) - -1. Sort 2, v, 3 in descending order.\nAnswer: 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 25 = -u, -6*x = -7*x - 5. Solve 0 = u*t + 9*t - 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -4*r, 3*d + 5*r = 2*r + 3. Let p be (-6)\/(-6) - d\/(-1). Solve 2*u = 3*h + 1 + 5, 5*h + 20 = p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:08 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, 4, 0.373?\nAnswer: 0.373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-10))\/(-2*3\/((-180)\/12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16187630 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 204. Let o(f) = -2*f. Give o(l(v)).\nAnswer: -4*v - 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - 10) + -6)\/((-28)\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41301324 - 434?\nAnswer: -41302313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 4, -5, 1\/11, -1\/13, -171?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -395 - 4*n + 395 as y*n + i and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3759663395 - 3759663395 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*x**2 + 21*x**2 + 2*x**3 + (3 - 3 + 2*x)*(-6*x**2 + 2*x**2 - 8*x**2).\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -126\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0 - 8*g**2 - 1\/12*g**4 + 0*g + 1\/10*g**5 + 1\/6*g**3. Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*x - 2 = 0, 114*x = -5*o + 110*x - 62 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 10*m + 24 + 4*m - 13.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -41. Which is the nearest to 7? (a) k (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 2*h**3 - 3*h**2 - 4*h**3 + 2*h**3 to s*h**2 + x*h + c + a*h**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 1. Let w(a) = a**2 - 2*a - 3. Let j be w(4). Solve y - j*y = -i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*r - 3 = -9, -25 = -5*t + 5*r. Suppose 2*s = -t*h + 140, -14 = -h - s + 20. Suppose 0 = 2*z - h - 20. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*i**3*k**4 - 166*i**3*k - 574*i**2*k**5 - 320*i**2*k**2 wrt k.\nAnswer: 1296*i**3*k - 34440*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7+-227\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 3*p + 199, -275 = 5*z - 5*p. Let n be (-10)\/2 - (16 + -87 + 12). Let b = z + n. What is the nearest to 0 in b, -4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*j - j = -31, 3*p = 5*j + 96. Suppose 3*s + 85 = 2*o, 4*s + 2*o + 129 - 25 = 0. Let g = p + s. Calculate the smallest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14851, 59408, 133677, 237664, 371375, 534816, 727993?\nAnswer: 950912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrgrrrrrrrrrrrrrrr. What is prob of picking 2 g and 2 r?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*i + 174*i - 24 = 0. Solve -4*h + 4 = -n - 0, 4*h + n = i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 152*j + 1444.\nAnswer: 4*(j - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-30)\/(-5)))\/((-12)\/(-180))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d**2 - 2*d**2 + 44*d**3 - 65*d**3)*(-2*d + 5*d - 2*d) to the form f*d**2 + q*d**4 + s + v*d + u*d**3 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - b87a?\nAnswer: -b876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-18) - (-4)\/(-18). Let u = -2 - -2. Let c = u - -2. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 27 = -30*r. Suppose -129 = -2*p + r*u - 6*u, 3*p + 3*u = 195. Calculate the smallest common multiple of 24 and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(704)*2 - sqrt(704)))**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n - 21*n - 16*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.741023 rounded to the nearest 10?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-12) + 4075\/(-150). Which is bigger: -169\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*20360\/(-509)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 743385 by -49559.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172992695?\nAnswer: 5, 34598539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6818.263l in millilitres?\nAnswer: 6818263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10)*i)\/(i**(5\/3)*i) assuming i is positive.\nAnswer: i**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117.5 - -112.5. Let q = -15.8 - -16. What is the closest to q in 3, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5988\/19 + 315. Is d <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/15 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 d when three letters picked without replacement from {e: 1, j: 1, d: 3, a: 3, q: 3, k: 2}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssbsfbfbsbbbsbsb. What is prob of sequence bf?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25593 or -25602?\nAnswer: -25593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 4*m + 4 - 1.\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 27*b - 12. Let z be q(-18). Let n = 1237 + z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 7567*q**4\/24 + 1987*q**3\/3 - 41*q**2 - 21. What is the first derivative of n(k) wrt k?\nAnswer: 7567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1. Let l(w) = 1. Let z(g) = l(g) + 2*s(g). Let n(m) = -m**2 - 3. Let j(a) = -2*n(a) + 6*z(a). Let t(u) = -14*u. Give j(t(y)).\nAnswer: 392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1149, 0.4, 1\/132?\nAnswer: 1149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(45) + (sqrt(5) - (-2 + (sqrt(5) - (0 + sqrt(5))) + sqrt(5) - sqrt(5))))**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -26*v - 193. Is m(-12) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -31. Suppose 22*g - 18 = v*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:46 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 36. Let j = 17 + -13. What is the closest to z in -4, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(495))\/sqrt(5) + 4)**2 + -1.\nAnswer: -48*sqrt(11) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 0 - 0. Suppose 5*i - 10 = l, 25754 - 6022 = 4*x + 4*i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a5b7 - 33?\nAnswer: -11a62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:20 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/422 + 835\/1266. What is the closest to i in -3, 4\/7, 0.6, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.612 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.135.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 15*m**3 + 11*m**3 + m**3 - 45*m**3 + 40*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19) + -4 + sqrt(931)*4 + sqrt(19))*-6)**2.\nAnswer: -10800*sqrt(19) + 616500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5799190, -5799195, -5799200?\n\"Answer: -5*l - 5799185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2322\/(-90) - -15) + 13. Let j = 377\/6 - 63. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15806 divided by -5?\nAnswer: 15806\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3205 - -16022\/5. What is the nearest to 1 in o, 0.3, -0.47?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*i = 6474 + 3074 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -356042 (c) -4 (d) -0.2 (e) 1 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1297\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223341150*x**3 + 124224841*x wrt x?\nAnswer: 1340046900*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1974*a**3*h - 15*a**3 + 2*a**2 wrt h.\nAnswer: 1974*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 65\/15 - (34 - 43). What is the third biggest value in 5, 5\/6, k, -3, 290?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 184\/6 - (-2)\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3))*-4 + 0.\nAnswer: -8 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122222210223 - 20?\nAnswer: 122222210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596, -625, -572, -467, -340, -221, -140, -127?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 819521995*t**3*x**3 + 2*t**3*x - 5*t**3 - 5*t**2*x**2 + 231*t*x - 4981*x wrt x?\nAnswer: 4917131970*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 70.1. Let x = o + 3. Let z = 55\/84 + 2\/21. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071000 rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5 - -4) + 5)\/18. Which is the closest to -0.2? (a) -16 (b) m (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10773*f + 1408356 = -10735*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9084 is divided by 247.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12508\/(-34) + 46\/(-391). Let q = s - -379. Solve -2*i + 36 = -q*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1055 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(4\/60*(-2)\/6). Let k = p - 134. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188592 is divided by 9719?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/36*-36*(-1)\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*u - 9. Let y be (12\/(-8))\/(u\/(-4)). Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153) + -1)**2 + 2.\nAnswer: -30*sqrt(17) + 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjjjjnjnjnnjfjjn. Give prob of picking 2 j.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4616.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350 - -694. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17445316 and 3059?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 7. What is v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 229.34553?\nAnswer: 229.34553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-39 + (-10 - 18 - -161))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 141 and 0.2.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24443*k**3 - 5*k**2 + k + 3. Let y = 8 - 5. Let u be v(y). Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4865428456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289.502 centuries in months?\nAnswer: 8747402.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1523905\/24080688 + -13\/70002. Calculate the common denominator of f and 37\/6.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-227*t + 4 + 1 + 225*t)*(-2*t + t - t)*(-t + 0 + 0) to the form v*t + h + f*t**3 + y*t**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3093, -3034, -2975, -2916?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234857 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r. Let v(x) be the first derivative of -8*x**2 + 191. What is v(w(n))?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 51. Let m be l(12). Suppose -4*n + 4 = 0, 4*v - 426 + 39 = -m*n. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4677 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 0.2, -4\/1135, 2\/20699?\nAnswer: -4\/1135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, u: 6, w: 4, k: 4}. What is prob of picking 2 u, 1 k, and 1 p?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*13*42\/4. Let l = -39 - m. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*2*((0 + sqrt(2736))**2 + 2).\nAnswer: 98568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*s**2 - 2*g**3*s - 46*g**2*s**2 + 42*g**2*s + 15*g*s**2 - 16*g*s + 5*s**2 + 13*s + 2 wrt s?\nAnswer: 2*g**3 - 92*g**2 + 30*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32834825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3146\/29 (b) 23.2 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*q - 15, 4*i + 0*q = 5*q + 65. Suppose s - i = -4*s. Suppose 4*f = -3*a + 235, -s*a - 78 = -3*a - f. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-79 - -56 - -33 - (-1 - 4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -52*(10\/4 - 3). Suppose 0*k - 6 = 3*j - 3*k, -4*k = 5*j - g. Suppose j*m - 8 = -2*r, m = 3*r + 3*m - 15. Solve 0 = 4*w - 1 - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((124\/(-16) - -8)*-2). Solve -s*c = -4*i - 12, -13 = 5*i + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1314 - 300?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h + 1. Let s be z(3). Suppose -s*o + 50 + 154 = 0. Calculate the highest common divisor of o and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5929262s in milliseconds?\nAnswer: 592.9262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114513 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2706102.\nAnswer: 541220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 518 = -5*k + 9*k, -3*q - 122 = -k. Calculate the remainder when k is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 189\/(-36) - (4 + -6 + 1) and -57\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60087 is divided by 2089?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 408677815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2850 and 107\/17358?\nAnswer: 8245050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {k: 6, r: 2, l: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1\/20*b**5 - 9*b - 5\/6*b**3 - 3\/2*b**2 + 0 - 5\/12*b**4. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 6*c - 48 = 20*n, -32*c + 68 = -5*n - 30*c for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-47)\/(u**5\/u*u*u*(u**(-1\/3)\/u)\/u) assuming u is positive.\nAnswer: u**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/(m*m\/m**(-12)))**(-6)\/((m*m**(-1)*m)**(-11\/4)\/(m**(2\/11)*m*m**5)) assuming m is positive.\nAnswer: m**(3561\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3135, -23147, -76927, -181359, -353327, -609715, -967407?\n\"Answer: -2814*z**3 - 314*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2021\/6 in -9, 2\/7, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:15 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*v - 5*d = 84*v - 13472, -2*v + 13532 = -5*d. List the prime factors of v.\nAnswer: 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631973286.\nAnswer: 2, 3, 7, 238841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 36128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 940*u**2 + 1170 + 6960*u**2 - 16*u - 1372 + 6045*u**2 - 386*u**2 wrt u.\nAnswer: 27118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:31 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(55) + sqrt(55)*3)\/sqrt(11)*-1.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412488?\nAnswer: 2, 7, 11, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 70 = -6*p. Suppose -p*o + 17*o - 15 = 0. Solve -2*l + g - 6 = 4*g, -15 = o*l - 2*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129395995 divided by -25879199\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 3*z**2 - z + 4. Let g be w(-3). Let m(y) = 109*y**2 + 7*y + 10. Let u be m(g). Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-24))\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171048982?\nAnswer: 2, 13, 19, 181, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 2*i - 2. Let x(y) = -y**2 + 8*y - 8. Let v be x(6). Suppose 33 = v*b - 115. What is the remainder when b is divided by t(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5641849 from 0.07.\nAnswer: 5641849.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let y(w) = 514*w**2. Determine n(y(f)).\nAnswer: 514*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 0.8 (c) 44655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28812978 to the power of 1\/2, to the nearest integer?\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 43*u**3 + 11*u**2 + 22*u - 10. Determine p(-2).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11186.58487 to the nearest integer.\nAnswer: 11187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4749*y - 1. Let z(i) = -357*i. Give z(r(x)).\nAnswer: -1695393*x + 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 571655, 1143303, 1714951, 2286599?\n\"Answer: 571648*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t - 4 = 4*m, 0 = t + 5*m - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.20195 to 2 decimal places.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:22 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6174859719 + 6174918507.559997. Let i = -58782.56 + c. Let a = -6 + i. Round a to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115604\/52 + (-4)\/26. Suppose -4*f + r = -4*r - s, 0 = f - 5*r - 552. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 127*k**2 - 60*k - 199. Calculate r(63).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 870 and 132936.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7679279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1 (c) 425331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -433. Suppose 0 = 2*p + 4*b + 78, -4*p + 5*b + 24 = t. Let i = 81 + p. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26467241 divided by 5.\nAnswer: -26467241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -17*g + 15*g. Suppose -2*i + 4*i - h - 14 = 0, -3*h + g = i. Calculate the highest common factor of 64 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y + 31. Let c(n) = -2*n**3 - n**2 + 3*n + 1. Let x be c(-2). Let b be l(x). Let r = b + 72. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16043011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1897, 3734, 5513, 7240, 8921?\n\"Answer: l**3 - 35*l**2 + 1935*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j)*(3*j - j + 0*j) + 5 - 5 + 2*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.3, 0.1, 4028, -0.5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -6.6 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -0.48. Suppose 0 = -17*m - 1101 + 1050. Which is the smallest value? (a) -1 (b) m (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17456, -17480, -17564, -17738, -18032, -18476?\n\"Answer: -5*u**3 + 11*u - 17462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 9, m: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20707 or 4653?\nAnswer: 20707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-15\/7))*z\/(z**(-1\/16)*z) assuming z is positive.\nAnswer: z**(-233\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m - 3. Let n(p) = 2*p**3 + 6*p - 4. Let a(y) = -4*h(y) + 3*n(y). Let w(d) = -d. Give -a(v) + 6*w(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 14260\/3977?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 - (2 + -2 - -1). Suppose -17*x + f*x - 8 = 0. Suppose -x*t - 3*b + 111 = 0, 5*b + 0*b - 145 = -5*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -34*n - 98. Let m be t(-3). Let j be (-3)\/((-18)\/(-112)*m\/(-159)). What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/30 and -95\/3138.\nAnswer: 15690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*a + 19, -1 - 23 = -3*a - 4*z. Solve a*r + 5 - 3 = 2*u, -3*u - r = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67794, 135481, 203076, 270585, 338014, 405369, 472656, 539881?\n\"Answer: h**3 - 52*h**2 + 67836*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/2, -6\/13, -19079 in decreasing order.\nAnswer: 3\/2, 0.5, -6\/13, -19079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1238985 and 83061.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1058*q*z**3 + 1143*z**3 wrt q.\nAnswer: -1058*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and 158.\nAnswer: 156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**2*u**3 - 573924*a**2*u + 18*a**2 + 1657965*u**3 wrt u.\nAnswer: 36*a**2*u + 9947790*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-3\/5)*n)*n*n**5)**1 assuming n is positive.\nAnswer: n**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**4\/24 - m**3 - m**2\/2 - 3*m. Let r(t) be the first derivative of a(t). Let l(o) = -o + 1. Calculate -4*l(b) - r(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311204 and 9188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 56*b - 1560 = 17*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 + 7 = d, 0 = -4*d - u + 6. Suppose 6 = 3*m + d*x, 2*m = 6*m - 3*x - 25. Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 465*u**3 + 3477*u - 2628. Differentiate d(t) with respect to t.\nAnswer: 2790*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 0)*(-7*q**3 - 1 + 4*q**3 + 2).\nAnswer: -21*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 n, and 1 w when four letters picked without replacement from {w: 5, h: 6, n: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 1, r: 4, s: 2, f: 2}. Give prob of picking 1 s, 1 f, and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*h**4 + 236 wrt h.\nAnswer: -1340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*k = 409*k - 79417200. Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141*k**2 + 140*k - 1.\nAnswer: (k + 1)*(141*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1827, -221 in increasing order.\nAnswer: -221, 34, 1827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38649067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -32025*t**4\/2 - t**3 + 9*t**2\/2 + t. Let j be n(-7). Let s = 6315299 + j. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.47 - -20.53. Let m = n - 16. Let f be (-1)\/(1\/5 - 0). Sort f, -1, m.\nAnswer: f, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001095837259 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 1632\/128)*(-32)\/340.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:03 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -0.39 (c) 4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 19 = -39. Let o be 6*f\/8 - -8. What is the greatest common factor of 35 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43139576, -86279146, -129418716?\nAnswer: -172558286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3 + 31*l**3 + 22*l**2 + 3*l**3 + l**2 wrt l.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 14*a - 10*a - 48*a + 2*a**2.\nAnswer: 2*a**2 - 72*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -2*w, -2*w + 16 = -w + 2*a. Solve -2*l - 14 = 3*r, -r + l - 4*l = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33417842 to the power of 1\/2, to the nearest integer?\nAnswer: 5781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 33 = 22. Calculate the common denominator of 85\/8 and (2\/p)\/((-2)\/(-16)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 324 - 323.633. What is s rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(-384)\/(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:14 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g**2 + 4*g + 19. Let o(l) = 14*l**2 + 3*l + 19. Let i(m) = -4*o(m) + 3*t(m). Differentiate i(c) with respect to c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.262, 7, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 535, 1156, 2025, 3142, 4507?\nAnswer: 6120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -3249.\nAnswer: 53\/3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 1, i: 2, z: 1, a: 2}. Give prob of sequence ixz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 22*k**2 + 71*k + 8. Let g be m(4). Solve -9*b + 24 = -q - g*b, -q + 3*b - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64108158*z**3 + 2*z**2 + 2863*z - 24797?\nAnswer: -384648948*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4562*a - 33124 = 2014*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57548 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2006\/(-59))\/((-2)\/32). Suppose 430 = 3*m - o - 365, y = 2*m + 4*o. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 5)*(-2 - 1 + 2) - 1 - 2 + 2)*(-6*z**4 + 2*z**4 + 2*z**4).\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 8. Suppose -5*u = -j + 131. Let l = u + 44. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*9*2\/162. Which is the nearest to -0.2? (a) x (b) 1\/4 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 u, and 1 s when four letters picked without replacement from usuusvgsjujujjvs?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527544, 527580, 527616, 527652?\nAnswer: 527688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44328 + -44328.0000023049. What is v rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 295*b**2 + 182*b - 1475297 wrt b?\nAnswer: 590*b + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*n - 5*j + 22, 5*n - 78 = -j. Let l = 76 - n. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.06, -5, 1, 421?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 71. Let m be (-3)\/(2376\/(-2110)) - 3. Let l = 5\/44 + m. What is the closest to 1 in l, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s - 144. Let b = 23 - s. What is the remainder when b is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.844 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75)\/((-2)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7062 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*f**3*j + 141353*f**3 + 81*f*j + 2*f with respect to j.\nAnswer: 52*f**3 + 81*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2489347.00072 + -2489462. Let l = w + 115. Round l to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62334 and -122.6?\nAnswer: 62211.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/10 + 5*m**4\/6 + 22*m**3\/3 + 7*m**2 - 8*m. What is the smallest common multiple of y(-2) and 92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/15 - (-4)\/(-10). Let f(b) be the third derivative of b**4\/24 + b**3\/2 + 2*b**2. Calculate f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -3241*w**5\/5 - 3*w**2 - 100*w - 5870. Find the second derivative of a(z) wrt z.\nAnswer: -38892*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -2676.2\nAnswer: -53.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/19, -0.8, -2\/3, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 263 + 175 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-4))\/((-11)\/88). Let w be ((-16)\/40)\/(o\/10). Solve w*j + 10 + 0 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2151 + 2393. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + 4*(sqrt(84) - -3*sqrt(84)) + sqrt(84) - 2*sqrt(84)*2)\/(sqrt(36)\/sqrt(3)*-1*2*-2).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*o - 314*o - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1\/3, 1\/3, -22?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4263395 divided by 15065\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 57 + 5 - (-42 + 34) - (-1 + 4).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*u - 197*u**3 - 1 - 3 - 181*u**3 - 122*u.\nAnswer: -378*u**3 - u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**5\/40 - x**4\/48 + x**2 + 81*x - 66. Let r(g) be the second derivative of y(g). Factor r(o).\nAnswer: o*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 503, 761, 1023, 1289?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307716 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 - ((-44 - 1) + 36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -1, 1056, 4 in increasing order.\nAnswer: -11, -1, 4, 5, 1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 379 + -228. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17307, -65892, -146867, -260232, -405987, -584132?\nAnswer: -794667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + 0.17. Is n smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11780 and 53320?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 4, r: 1, s: 2}. Give prob of picking 2 s, 1 q, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b17 + 1?\nAnswer: -b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3138 - -11045. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877056?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c72b + -55?\nAnswer: c6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -2, -9, -4, 24 in ascending order.\nAnswer: -18, -9, -4, -2, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/2189?\nAnswer: -6\/2189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 6*k + 79. What is the remainder when k is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 27809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 14. Determine l(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1367, 0.06, 0.3, 4 in ascending order.\nAnswer: -1367, -4, 0.06, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 25 + 15 + -49 - (11 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 k when four letters picked without replacement from {k: 3, s: 2, e: 15}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 2*z - 119 = 11*n, -3*z + 34 = n. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 45 = 2*k. Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108906 rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 65. Suppose 4*n - 12 = -l + 3*l, -w*n = -3*l - 24. What is the nearest to -0.1 in -0.2, l, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 22. Suppose 10*t - 161 = 519. Let p be (102\/t)\/((-6)\/(-128)). What is the greatest common factor of p and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631869 divided by 7.\nAnswer: 90267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 864.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:14 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/15)\/((-15)\/9). Sort -5, 2, s, -3.\nAnswer: -5, -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:00 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + k + k + 48 - 2*k**4 - 46 to the form d*k + u + g*k**2 + c*k**4 + h*k**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, -5, -36, -57, -68, -69, -60?\n\"Answer: 5*i**2 - 56*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*y**2 - 27\/2*y**3 - 3*y**5 + 0 - 3\/2*y - 21\/2*y**4.\nAnswer: -3*y*(y + 1)**3*(2*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421503250 (base 6) to base 4\nAnswer: 130012000032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 0.5 (c) 2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -44*j - 9. Suppose -d = 4*g - 14, 2*d - 2*g + 3*g + 7 = 0. Let r(l) = -87*l - 17. Let h(q) = d*r(q) + 13*w(q). Differentiate h(y) with respect to y.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-6))\/(-6)*(-5)\/(-20)*100.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1601 - -1600. Sort 1\/8, x, -9, 4\/5 in ascending order.\nAnswer: -9, x, 1\/8, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 351035989, 351035988, 351035987, 351035986, 351035985?\n\"Answer: -n + 351035990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**1))**(-16)\/(m**(2\/5))**(-35))**(-14))**30 assuming m is positive.\nAnswer: m**(-12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10\/(-20))\/(1\/(-37)*12\/7848)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1822, -817, -3456?\n\"Answer: -2639*z + 4461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*w + 319*w - g + 49 = 0, -5*w + g = -63. Which is the closest to -0.1? (a) 2 (b) 3 (c) 29\/5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11583 - 208391\/18. Let f = 7749\/1780 - -132\/445. Find the common denominator of w and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/4*2. What is the closest to 1 in 3, g, 987, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*h**2 + 1685 - 3342 + 1658.\nAnswer: -94*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -13 in decreasing order.\nAnswer: 4, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 7:11 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 24*v**2 - 119*v + 1. Let t be x(17). Let i = -8\/181 + 915\/24797. Are i and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/j*j\/(j*j\/(j**(-2\/29)\/j))*j**16*j*j**(2\/11))**(4\/9) assuming j is positive.\nAnswer: j**(-2504\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17972 is divided by 982.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 16 = 8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2372928 by -102.\nAnswer: 23264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144354 or 2\/9?\nAnswer: 144354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-78)\/28 - -3) + 4\/14. Let q(n) be the second derivative of c*n**2 + 1\/10*n**5 - 1\/3*n**3 + 3*n + 0 - 1\/30*n**6 + 0*n**4. Factor q(d).\nAnswer: -(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1422, 4045, 7862, 12873, 19078?\n\"Answer: 597*n**2 + 832*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166543 (base 11) to base 16.\nAnswer: 3edff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/((-45)\/96)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -79. Suppose -4*f - 5*l + 204 = -v, -l = -f + 69. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlllhlllll. What is prob of picking 1 l and 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1, l: 6, x: 4}. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyejjyyxe. Give prob of picking 2 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001013730 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 407 - 407 - 95*b**2. Let q(g) = -g**2. Give k(q(t)).\nAnswer: -95*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/16)\/3)\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/2 - 277*t**3\/2 + 243*t**2\/2 + 9045*t\/2 + 8694 = 0.\nAnswer: -3, 7, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/90 and -107\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y - 48*y - 680 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 15, d: 5}. What is prob of sequence dd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*3\/6*10. Let a be 3\/(-6) - s\/(-2). Suppose 2*w + 2*r - 5*r - a = 0, 4*w - r = 29. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9235?\nAnswer: 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24100037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -154. What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}