diff --git "a/data/dm_maths/full_data/1367_11255.jsonl" "b/data/dm_maths/full_data/1367_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1367_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (11*m**2 + 18*m**2 - 33*m**2 + 4*m**2 + 1366*m**4)*(-6*m + 4*m + 0*m).\nAnswer: -2732*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11001110?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.32 - -0.72. Sort -0.2, o, -1, -2.\nAnswer: -2, -1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Let z = 1 + m. Let x = -5.574 - -1.574. Are z and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -4*m, -2*p = -3*m - 4 - 0. Suppose 0 = -c - u + 1, -c + 2*u - 3 + 13 = m. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 28*g - 61*g + 24. Solve 0 = 3*c - 5*q + 2, -g*c - 8 - 8 = 2*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51305435 (base 6) to base 10\nAnswer: 1470911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1297*p + 1871*p - 859*p + 220*p in the form o*p + x and give o.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770\/(-190) - 54\/(-5643)*11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5099 divide 1973583247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 16*c**2 - 11*c. Let q(b) = 3*b**2 - 2*b. What is -2*d(w) + 11*q(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 21. Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 26 - 19, 2*z = 5*p - 619. What is the remainder when 1196 is divided by p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1596 and 2508?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*d**2 - 40*d**2 + 94*d**2 - 12 + 34 - 22.\nAnswer: -670*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1956153, -1956156, -1956159, -1956162, -1956165, -1956168?\n\"Answer: -3*h - 1956150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454317.2um in kilometers?\nAnswer: 0.0004543172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j + 9 - 15 - 3*j + 0*j. Let l be (4\/3)\/(1\/(-3)). Is o(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/30*(-1)\/(6\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 48, 2 in decreasing order.\nAnswer: 48, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let r(q) = q - 1. Let h be r(-8). Let w(f) = 6*f - 9. Let t(u) = 3*u - 4. Let y(i) = h*t(i) + 4*w(i). Calculate k(y(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72431171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 (base 11) in base 14?\nAnswer: cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (828\/(-15))\/(-4) + (-13)\/(-65). Is q smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3860e0 (base 16) to base 7\nAnswer: -43256026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 + 5*l**2\/2 - 18*l. Give i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 21*d**3 - 4*d**2 + 4. Let k(q) = -21*q**3 + 3*q**2 - 3. Calculate 4*k(f) + 3*s(f).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-60) - 17\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = 4*i. Suppose -3*o + c + i = -0*o, 3*c = 4*o - 17. Suppose -4*g - 22 = -2*y, 0 = o*y - 0*y + 3*g - 43. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 26*s - 49. Let z be h(24). Let x = -1.4 - 4.1. Let q = -1.5 + x. Which is greater: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1098, -765, -308, 273, 978, 1807?\n\"Answer: 62*j**2 + 147*j - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f - 15*f**2 + 0*f**4 + 1\/60*f**5 + 0 + 0*f**3. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b + 37*b - 12*b - 18*b - 5*b - 18*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from llleozoeooelleeeloe?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 0 - 2414\/204 and -17\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*(-32)\/(2048\/(-448))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -227\/5?\nAnswer: -227\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**3 + 2 - 3*g + 11 - 16 - 5*g**2. Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12691\/(-148))\/(2\/8). Let f(t) = 32*t**2 - t + 2. Let q be f(-4). Let u = o + q. Calculate the highest common factor of 70 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 1720533 + 3259784 = -416932. List the prime factors of y.\nAnswer: 11, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492 - 364574\/741. Let j = -3 + 3. Is j at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*b - 140*b + 261*b - 94*b - 197*b.\nAnswer: -277*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-2)*-6*4\/(-24). Suppose 14*q = o*q - 202. List the prime factors of q.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169250381003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -2, -3199, -3, -0.08, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 98615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61684793*h**4 - 3*h**2 - 95782051 wrt h.\nAnswer: 246739172*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 + a. Let w(p) = -2*p**3 + 3*p**2 + 12*p + 2. Determine -3*r(h) + w(h).\nAnswer: h**3 + 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002897 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -534, -484, -434?\n\"Answer: 50*l - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -322*x**3 + 4*x**2 + 183*x - 12. Let p(a) = a**3 + a**2 + 5*a - 2. Let b(j) = d(j) - 6*p(j). Find the third derivative of b(y) wrt y.\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h + 4*y + 24, -y = -4. Let k = h + 15. Solve w - 5*w = 4*g - 12, -k*w + 3*g = 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (57 + (20 - 24))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1785 = -9*z + 4*z. Suppose -3*l + 23 = 4*b, -3*b = 3*l + 4 - 25. Suppose 0 = -b*k - 5*f + z - 28, 5 = -5*f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -210302, -420602, -630902, -841202, -1051502?\n\"Answer: -210300*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 12) to base 14\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 + 2)*(-2)\/(-60)*6. Suppose 0 = 6*g - 13 - l. Solve g*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -5*y, 2*g + 13*y - 3828 + 8822 - 4454 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/(54\/(-9)). What is the nearest to -1 in w, -5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 1. Let w = 0.6 - y. Let k = 19\/30 - 2\/15. Sort -1\/3, k, w.\nAnswer: w, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1512 - -0.15119201. What is n rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 286.2165, 0, 1 in ascending order.\nAnswer: 0, 1, 286.2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45\/82 - -2\/41. Let c(f) = f**2 - 4*f + 4. Let r be c(3). Let p be r + -1*2 + 5. What is the third biggest value in p, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112, -106, -96, -82, -64, -42, -16?\n\"Answer: 2*s**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*z**4 - 347*z**3 + 2 - 253*z**4 + z - 65*z**3 + 3*z**2 to f*z**3 + d*z**2 + x + w*z + p*z**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**2. Let l be f(-1). Let o be (-35)\/l - 2\/4. Suppose -2*x = -9 - o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345450 to the nearest one thousand.\nAnswer: -345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -3\/19 (c) 2 (d) -0.4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -329\/570 + 39\/95. Sort -1\/20, -7, d in descending order.\nAnswer: -1\/20, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**3 - 10*y**2 + 5*y + 8. Let w be d(6). Suppose w = 17*v - 15*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 0*z - 5*z)*(0 + 0 + 2*z**2) - 4*z**3 + 6*z**3 - z**3 - 3*z**3 + 13*z**3 - 30*z**3 + (-1 + 3 + 0)*(0*z**3 + z**3 + 0*z**3).\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Suppose -q + 0 = -2. Suppose q*b = 3*l + 16, 0 + 4 = -2*l. Determine h(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.068 in -22, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlxzrzyclcrzll. Give prob of sequence rzcz.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 9 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (216 - 222)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3629 and 84950.\nAnswer: 88579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46230 divided by 9246.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:21 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let n = 63 - 125\/2. Let i(j) be the second derivative of 0 + 3*j + 0*j**3 - n*j**4 + 0*j**2. What is o(i(d))?\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -56. Let b be (-2)\/6 - (-1)\/3. Sort b, 0.5, p in descending order.\nAnswer: 0.5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 - 1785358*z**2\/11 - 398440576544*z\/11 - 1195305661464\/11.\nAnswer: -2*(z + 3)*(z + 446338)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*d + 2*d - 89 = 0, -t - 3*d = -90. Suppose 5*w - 115 = -b, 2*w = 3*b - 2*b + 39. Calculate the remainder when t is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*o + 36 + 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**3\/3 + 3*w**2 - 3*w + 56. Let i(z) = 2*z**2 + 5*z - 2. Give 4*i(o) - 3*v(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.06, -11118?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 986*m**2 - 7*m + 3. Let t be a(5). Let h be -1803*(92\/t)\/(-2). Let x = 2\/373 - h. Calculate the common denominator of x and 28\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.075 (b) -0.1 (c) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 749864871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78699 + 23924455\/304. Let i = b + -1\/19. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -70.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 25*m**2 - 1604*m + 61618. Give x(33).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 26*m**2. Let p(j) = -363*j + 156. Let c(n) = -4*n + 26. Let a(r) = 6*c(r) - p(r). What is a(y(o))?\nAnswer: 8814*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-4)*(-7 + 9). Suppose b = t - 20. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3350, 3373, 3396, 3419?\n\"Answer: 23*g + 3327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/140 and 27\/2720620.\nAnswer: 2720620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69*(-16)\/8464*(-3)\/(36\/(-10))*2.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/10 (b) -0.08 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.684727 to 1 decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.59 + 134.91. Let j = l + -139. What is the nearest to 0.05 in 0, 4, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -305730, -1223133, -2752214, -4892973, -7645410, -11009525, -14985318?\n\"Answer: -305839*b**2 + 114*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242504 divided by -4?\nAnswer: 310626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 - -24143. What are the prime factors of v?\nAnswer: 3, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -200064968, -400129937, -600194906, -800259875?\n\"Answer: -200064969*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or -204?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/((-4)\/(-8)). Suppose 0 = -5*u - s - s - 7, -k*u - 5*s = -5. List the prime factors of (-4 - u) + 23 + -1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3760 and 1363.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -589995 by 13111.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -1\/420*n**6 + 1\/84*n**4 + 6*n**2 + 0 + 0*n**3 + 0*n**5 + 0*n. Find s, given that b(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from jcuussjpjjjsd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 935, 1394, 1855, 2318, 2783, 3250?\nAnswer: 3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k. Let u(t) = 64*t**2. What is u(f(c))?\nAnswer: 5184*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.18228195 rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 1\/4 (c) 2\/9 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/40)\/(3090\/(-192) + 16). Solve x*c + 140 = 200 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 10*s**2 + 19*s - 8. Let v be b(8). What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7691749 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -5789 (c) -1\/5 (d) -17\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from yekakkn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 - 26*b**2 - 8*b**2)*(-4*b**2 + 4*b**2 - b**2).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 25370\/(-4248) + (-22)\/(-18) + -1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 14, 22, 30, 38?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose 4*a + 2*v - 174 = 0, -104 - 24 = -3*a + v. Suppose -a + 7 = -r*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9 + (-44)\/(-6). What is the least common multiple of (-2)\/(2 + (-11)\/5) and 1\/4 - (-78)\/y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2864*k + 2674*k - 6650 = 0 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*x + 45, 0 = 2*z + 5*x - 3*x. Let l be ((-4)\/5)\/(2\/z). Let q = 3 - 0. Is q at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1440 (b) 0.1 (c) -1 (d) -3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56086144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(288) + 0 + sqrt(288) + -1 + sqrt(90)\/sqrt(5) + -4 + sqrt(128))**2*-4.\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and 20838.\nAnswer: 20878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1300402, 2600767, 3901084, 5201341, 6501526, 7801627, 9101632?\nAnswer: 10401529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 13*r = -4. What are the prime factors of r\/(-20) + 1 + (-8028)\/(-10)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 139608756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*a**2 - 202*a**2 + 22*a**4)*(4 - 2*a - 4).\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49028 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19216?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2612, 2623, 2646, 2687, 2752, 2847, 2978?\n\"Answer: p**3 + 4*p + 2607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3859 - -2964. What is the second biggest value in -2\/7, 0.4, l, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601155 - 3103640*q**3 + 3103635*q**3 + 601155.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v. Suppose -b = -4*b + 2*t + 53, 54 = 3*b - 3*t. Let d(y) = 3*y + 15*y - b*y. What is d(w(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164766? (a) 8 (b) 1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2. Let p(r) = 11*r**2 + 6*r - 6. Let k(q) = 4*q**2 + q - 1. Let n(v) = 6*k(v) - p(v). Determine x(n(z)).\nAnswer: -338*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-2) + (-2)\/4. Let t(i) = 2*i**2 - 22*i + 58. Let r(h) = 2*h - 5. Let p(f) = -10*r(f) - t(f). Let w be p(n). Round w to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 411*v + 3. Let r(h) = -103*h - 1. What is -4*f(i) - 15*r(i)?\nAnswer: -99*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1440233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8 + 1241371.\nAnswer: 1241373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3893, 4\/3, 1\/5, 5 in descending order.\nAnswer: 3893, 5, 4\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*(-126)\/(-36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25855*d - 226200 = -25867*d. List the prime factors of d.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2279 in -9, 0.3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000100348954 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14*w**2 + 160*w - 665. Let c be f(4). Solve -216*v + c*v + 17 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 7\/(147\/(-182)). Let g(n) = -5*n**2 + v*n - 6*n**2 - 8*n**2 + 20*n**2 + 12. Calculate g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 109 = -251. Calculate the highest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-110 + 61 - -49)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7705 and 441195?\nAnswer: 10147485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 plus -1254?\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -1230.\nAnswer: -1229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -1, 1, -5.\nAnswer: -10, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 53*l - 55. Let d be k(1). Sort 3, d, -209, 2 in decreasing order.\nAnswer: 3, 2, d, -209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-5))\/(3\/(-30)). Let k = -16 - c. What is the first derivative of 8 + 8 + p**3 - 6 + k*p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 + 3*f + 1. Suppose 4*t - 1 = 367. Let p be t\/(-22) - 2\/(-11). Let b be a(p). Solve 0*v + v + 1 = -s, -b*v + 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 - f - 1. Let v be o(-1). Suppose 0 = 55*a - 9*a. Solve -v*l - 1 + 5 = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.736277ns in hours?\nAnswer: 0.0000000000038156325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 99. Let a(p) = -17*p + 10. What is the remainder when u is divided by a(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 7 = 0. Suppose -k - 2*s = 4*k - 17, 2*s = -3*k + y. What is the greatest common divisor of 35 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -4*h, -j - 4*h - 44 = -46. Solve 3*k - a = -5, -3*k - j*a - 12 = -13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d - 2*d)*(1 - 3 - 1).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1118 = -18*j - 344. What is the remainder when j is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -193, 1\/3, -2, 1\/2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4842 divided by 8?\nAnswer: -2421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/76342?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -3 (c) 0.5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 113*n**2. Let k(s) = -2*s. Give k(m(r)).\nAnswer: -226*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.823 - 48.1. Let r = 0.2 + s. What is r rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252090 and 100836.\nAnswer: 504180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -33183491, 1 in ascending order.\nAnswer: -33183491, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**8\/420 + v**7\/140 - v**5\/60 + v**3\/2 - v**2. Let m(n) be the first derivative of q(n). Factor m(j).\nAnswer: 2*j*(j + 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -82, -0.6, 3, -0.4, 2\/43, -0.138, -5?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 2) - (-1 - (-2 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, s: 5, f: 3, m: 1, h: 2}. Give prob of picking 1 s, 2 g, and 1 h.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -84. Suppose -3*p = -0*p - l. Calculate the remainder when 45 is divided by (-1 + 10\/p)*(-78)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7624178 divided by 11?\nAnswer: 7624178\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*j + 4, -j = -3*j - o. Let x be 1*(j + 0 + 2). Calculate the greatest common factor of x and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7 + 11 - 5. Let g(y) = -y**2 - 7. Let z(s) = -4*g(s) + 28*v(s). Let p(x) = -5*x**2 - 2*x**2 + 6*x**2. What is z(p(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4516*l + 31020 + 73700 = -5571*l - 470239 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnrroyg. What is prob of picking 1 y and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2. Let j(f) = 1026155*f. What is s(j(d))?\nAnswer: 1052994084025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*i**2*x - 3102*h*i**2 + 4*i**2 + 501*x wrt h.\nAnswer: -i**2*x - 3102*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 57 = -6*p + 5*h, h - 4 = -p. Solve -p*g + 158 = 81 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t + 5*p + 2, -3*p - 21 = -3*t. Suppose -6*v - 32 = -t*v. Let c = v - -18. Solve -c*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/7 + 16*a\/7 - 18\/7 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 3*w + 3. Let j be d(-3). Suppose 4*a = -z - 65 + 75, -82 = -4*z + 5*a. What is the highest common factor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 58*c**3 + 11*c**2 + c. Suppose 0 = 3*q - 2*y - 77, -2*q + 0*y + 53 = -y. Let g = 21 - q. Let u be i(g). What is u rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 7*i - 1. Let q(k) = -10*k**3 + 5*k**2 - k - 1. Let c be q(1). Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 64 = -4*d. Let t = 1 + d. Suppose 5*h - t = -2. Solve -h*i - 1 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.109 or -1?\nAnswer: -2.109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1300 and 7930.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164615*k + 164611*k - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -3976?\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1628889 or -1?\nAnswer: -4\/1628889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-512)\/(-192))\/((-20)\/112*(308\/(-165))\/(-14)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - w = 44, -3*w = 3*d + w + 40. Let q(c) = -20*c**3 + c + 1. Let f be q(-1). Let v be -3 + f\/d*-2. Solve 0 = v*r - 5*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17055 - -23225. Calculate the remainder when h is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1)\/1 + (2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 48. Let o = 22 - l. Let y = o - 41.0000157. What is y rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a + 97. Let z(w) = -7*w - 64. Let n(g) = -5*y(g) - 8*z(g). Let p(s) = 7. Calculate -2*n(k) + 9*p(k).\nAnswer: -2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 3*j**5\/20 - j**4\/3 + j**3\/2 - j**2 - 4*j. What is the units digit of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.3 - 21.8. What is the closest to -0.31 in 0.5, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -252.\nAnswer: -1\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4 = 5*t, 409*t - 819*t = -5*a - 417*t + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 47 + 8 = 0. Suppose -8*m = -p*m - 7*m. Is m at least as big as 9\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-20)\/(-300)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664 and 558092?\nAnswer: 1116184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 1:01 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 - 7*b + 7*b - 83*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 - 8 = 0. Let d(b) = -b + 12. Let m be d(u). Suppose m*i + 13 = -5*o, -11 = o - i - 2. Put -1, 1, o in increasing order.\nAnswer: o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 2 + -3 + -2*sqrt(2057)*-1)**2.\nAnswer: -66*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + 10*y**2 + 5*y + (0*y + 3*y - y)*(7*y - 2*y + 6*y) to the form c + d*y + g*y**2 and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172126161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188737 divided by 188737.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 + 22381*k**2\/6 - 134317*k\/6 + 111935\/6.\nAnswer: (k - 5)*(k - 1)*(k + 22387)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 5. Does 10 divide f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/2)*0. Suppose 8*k - 3*k = 5*y, k - 15 = -4*y. Suppose -d = -t*d - y. Solve 0 = 4*a - x + 5*x + 20, 0 = d*a + 2*x + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424 = -39*d - 5*n + 2906, -n = 5 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -44*n. Let j(d) = -d**2. Determine j(q(x)).\nAnswer: -1936*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 + -6c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -20. Calculate the highest common divisor of 574 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 4*l - 3. Let q be i(-5). Let t = q + 11. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from yykyowyoyowey.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -242933 smaller than -242931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -1\/4*a**4 + 8*a - 1\/2*a**2 + 0 + 1\/6*a**3. Give k(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/18 + (-21)\/126. What are the prime factors of 643 + (d - 39)\/(-6)?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 plus 296556832?\nAnswer: 296556789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25248563 divided by 5?\nAnswer: -25248563\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**2\/2 + 1. Let a(d) = 7*d**2 - d. Let c be a(1). Let k(z) = z + c*z**2 - z. What is t(k(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence was when three letters picked without replacement from {p: 4, a: 5, w: 1, s: 3}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 9 + 93 = -8778*m + 8763*m, -2*m - 4*g = 7*m - 0*g + 42 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 104*d + 428. Determine x(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(25*44\/(-440))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 - 31*p + 112. What is the remainder when g(3) is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1548.575 + 1576. What is y rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:41 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 199*l**3 - 2*l**2 + 587*l - 3. Let y(j) = -393*j**3 + 3*j**2 - 1172*j + 5. Let b(t) = 5*f(t) + 3*y(t). Find the second derivative of b(s) wrt s.\nAnswer: -1104*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:30 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121303.711 - -121217. Let v = i - 0.189. Let m = -87 - v. What is the closest to m in 4, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 3*j + 8.\nAnswer: -(j - 2)*(j + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - k - 625 = 0, 3*k + 111 = 24*d - 23*d. Let c(i) = -34*i**3 + 2*i + 1. What is the remainder when d is divided by c(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 136. Let b be m(22). Let u(z) = -z**3 + 5*z**2 - 3*z + 11. Let x be u(5). Sort 0, x, -1, b in ascending order.\nAnswer: x, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.8 - 0.8. Let d = k - 2. Let s = 0.5 - 0.4. Put -0.2, d, s in increasing order.\nAnswer: -0.2, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 7*t - 5. Let l = -9 - 83. Let x = 85 + l. Determine d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - s + 5. Let f(p) = 32*p**2 - 5*p + 25. Let o(v) = f(v) - 5*t(v). Let y(i) = 23*i**2. Determine o(y(x)).\nAnswer: 22218*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1864628427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 1718, 594, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242133009?\nAnswer: 17, 1237, 106621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 20 + k**3 + 4*k**3 + 8*k**2 + 53*k**2 + 22 in the form p + w*k**2 + c*k + s*k**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304)*-1 - ((4 + 1*sqrt(19) - sqrt(19))**2 + sqrt(19) + 1 + -2)) + (sqrt(475) + 1)*1 + -2*(sqrt(19) + (0 + sqrt(57)\/sqrt(3))**2).\nAnswer: -53 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.2, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633 + 149 = -44*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2153*f - 13297. What is the tens digit of i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4193*k**3 + 2*k**2 + 3*k + 1155?\nAnswer: -25158*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465423331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -332*w - 1620 + 9588 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t + 6. Let z be x(-6). Suppose z = 4*c - 0*c - 8. Solve -c*a - 4 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4\/5 - 54*h**3\/5 + 999*h**2\/5 + 4578*h\/5 + 3528\/5 = 0. Calculate h.\nAnswer: -28, -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 18. Suppose 4*r - x = 3*r. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w + 3. Let i be s(0). Suppose 0 = -3*d + 3 + i. Suppose -d*q - 65 = -7*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/855 + 2533\/13680. Let i(u) be the first derivative of 1\/4*u**3 + 2 - 3\/4*u + l*u**4 - 3\/8*u**2. Factor i(v).\nAnswer: 3*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27180630*g**3*j**3*p - g**2*j**3*p - 27*g**2*j**2*p + 7136*g**2*j**2 - g*j**3 wrt g.\nAnswer: -163083780*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 299339 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - w + 3)*(-759 - 605 + 1587).\nAnswer: -223*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(13\/6)*v*v*(v**(-2\/5)*v)\/v assuming v is positive.\nAnswer: v**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003330 + -3?\nAnswer: 1003321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4233*y**2 - 21189*y + 4. Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 0 + -1*sqrt(68)*-1 + sqrt(612)*2 + -2 + -4)**2.\nAnswer: -6714 + 280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-1 + -2) - -17. Let z = m - -36. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967140178 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 32)*(3 + 5 - 4)*(-2 + 2 - 2)*(-b**4 + 5*b**2 - 5*b**2) to t + g*b**2 + c*b**4 + r*b + a*b**3 and give c.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.911335l to millilitres.\nAnswer: 5911.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -13*q + 15*q - 225, 4*w + 300 = 2*q. Let h = 118 + -195. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327965 is divided by 147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r. Solve -d - 1 = 0, -3*f + r = 3*d + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let h = r - 1.8. Suppose 0 = -2*b + 2*s + 14, -4*b = -0*b + s - 3. What is the biggest value in 3, b, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*u - 20, -2*u + 4 = -4. Solve -5*y + 16*y - 11 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86384380?\nAnswer: 2, 5, 331, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -h - 8, 5*s - 18 = 3*s - 3*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-25 - (-27 - -15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 40*x + 3. Determine f(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6376.7 - 6863. Let g = r - -486. What is the third smallest value in -4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14635933 is divided by 7317937.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 281\/3*o + 302 - 7\/3*o**2.\nAnswer: -(o + 3)*(7*o - 302)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 + -265. Suppose -v + 569 = 16*m. Calculate the highest common divisor of m and 930.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3724*y + 3753812. Give a(-1008).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3041*v**2 - 3041*v**2 - 4*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2200 and 23\/17600.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 - 8*x - 4. Suppose 3*p + 9 = -4*v + 6, -4*v - 21 = -3*p. Let o(g) = -2*g**2 + 3*g + 1. Determine v*j(i) - 8*o(i).\nAnswer: -2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 13 - (5 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, 72, 97\/13?\nAnswer: 97\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-2)\/(-30)*-59*90\/(-5310))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286 - 386. Let f be (1*3)\/(v\/(-100)). Factor 2*r**2 - 1\/3 - r + 8\/3*r**f.\nAnswer: (r + 1)*(2*r - 1)*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 4. Let w(m) = -2*m**2 - 13*m + 6. Let v(p) = p**2 + p - 1. Let j(a) = -3*v(a) - w(a). Let l be j(10). What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/114 + 8*b**3\/57 + 33*b**2\/19 + 360*b. Factor n(h).\nAnswer: -2*(h - 11)*(h + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000281988039 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -32 + -29 + (-2 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4068, -8120, -12154, -16170, -20168, -24148?\nAnswer: -28110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)*j*j*j\/((j\/(j*j**(2\/3)\/j*j)*j)\/j)*j)**10*(j*j**(2\/5)\/j)**(-47)*j\/(j*j\/(j*j**7*j))*j*j**4 assuming j is positive.\nAnswer: j**(-1637\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 15 = 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 5*j = -3*m + 63, j + 30 = -4*m. Is 53 a factor of (-2866)\/(-6) - (-7 - 138\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 12, 0, 2, -7 in descending order.\nAnswer: 43, 12, 3, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3105*q + 7742*q + 4599*q - 336*q - 1350*q to the form l*q + i and give l.\nAnswer: 13760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 42 - 6 = 0. Suppose 0*g + 2*g = 4, 4*g = s - 46. Suppose -4*c + 4*h + 184 = 0, 0*c + c = 3*h + s. What is the remainder when c is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k - 120. Give z(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15578*a + 74151?\nAnswer: -15578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h**2 + h)*(0 + 2 + 2) - 1 + 1 + h**2 + (-3 + 3 - h)*(11*h + h - h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*y = -2*w + 26, -4*y - 12 = -2*w. Suppose -2*s = -2*l - w, l + 0*l - 6 = -s. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and -10277451168392.\nAnswer: -10277451168402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 + 5*p + 9. Let n be m(4). What is the first derivative of n - 36*g - 48*g + 16*g wrt g?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 1\/2*v**2 + 0 - 2*v - 1\/24*v**4 + 1\/12*v**3. Solve o(l) = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -3 + 15 + -45 + 0 + (-3 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489647 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 6. Let y(c) = -338*c - 109. Let i(h) = -6*x(h) - y(h). Is i(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1080577, 1080579, 1080581, 1080583, 1080585?\n\"Answer: 2*o + 1080575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - (-5)\/(-30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21*d**2 + 6*d + 15. Let m(w) = -38*w**2 + 11*w + 28. Let v(z) = -11*h(z) + 6*m(z). Let k(x) = x. Calculate 4*k(g) - v(g).\nAnswer: -3*g**2 + 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14673, -14671, -14669, -14667?\n\"Answer: 2*g - 14675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1835 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*g + 2*k, g + 8 = -5*k + 28. Calculate the remainder when 57 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 6. Let o be j(-2). Solve -o*b + t = -11, -b + 8*t + 4 = 9*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -0 - 8. Let r = 25 - 25.2. Suppose 2*l - l = 0. Which is the closest to r? (a) l (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3*3984\/(-90). Let x = n + 137. What is the nearest to 0.1 in x, 3\/5, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775435\/85 - (-12)\/102 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 8*p**2. Let n(y) = 377*y**3 - 24*y**2 - 6. Determine -n(w) - 3*v(w).\nAnswer: -383*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -226, 8687, 0.2?\nAnswer: 8687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*w + 12098 = 12055, 0 = 5*l + 8*w - 81 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-18)*(-1602)\/12. Let s = y - -45\/2. Which is the second biggest value? (a) 1\/17 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 3*c - 9. Calculate m(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25718 and 17402.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*n - 4*y, 2*n - y = 6*n + 34. Let k(i) = -i**3 - 4*i**2 - 18*i - 3. Is k(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111886*s**2 + 2*s - 289390?\nAnswer: 223772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 12*p - 9. Let b be (-88)\/2*(-2)\/8. Let y be r(b). Suppose y*u = -0*u + 254. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153774 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -522b46 (base 12) to base 14\nAnswer: -25854a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30b29 (base 13) to base 11\nAnswer: 5a886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let a be u(0). Let g(c) be the second derivative of 13*c**4\/3 - c**2\/2 - 17*c. Is g(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2476*f = 2477*f + 7, 10 = 5*w - 5*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5 (b) -0.1 (c) 129 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b + 83. Let v be j(6). Let w(h) = -h**3 - 8*h**2 - 5*h + 10. What is w(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248.67 - -0.67. Let c = p - -277.8. What is c rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - 4*l**4 + 0*l**4 + (-2*l**3 - l**2 + l**2)*(-3*l + 2*l + 3*l) + 0*l**4 - l**4 - l**4)*(-49*l + 27*l + 87*l).\nAnswer: -520*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m**3 - 8*m**2 + 8*m + 2. Let r be (0 + -3)\/(3 - 4). Let v(w) = -5*w**r - 3*w + 1 + 4*w**2 - w**2 - 2. Calculate 3*n(j) + 8*v(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -391 (base 11) to base 14\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4747200, 4747260, 4747360, 4747500, 4747680, 4747900, 4748160?\n\"Answer: 20*c**2 + 4747180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923809991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11422 and 2777.\nAnswer: 14199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14925 and 53531?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 31 = j - 58, -j = -4*k - 96. Suppose -8*q - j = -10*q. Differentiate q*h**3 + 13 + 20*h - 20*h + 5 wrt h.\nAnswer: 138*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let l be (-3)\/12*75*w. Let b be -1 - 4\/(324\/l). Is b > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2279*a**2 - 3386*a - 35118450 wrt a?\nAnswer: 4558*a - 3386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3552 and 555.\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, -61, -140, -217, -280, -317?\n\"Answer: 2*o**3 - 17*o**2 - 32*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 25*d**2 - 10*d - 7. Let f be r(-2). Let q = 336 - f. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.775 + 3.195. Let s = v + -14. Let k = s - 0.17. Put 0.2, k, -4 in decreasing order.\nAnswer: 0.2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -684540768 and -0.5.\nAnswer: 342270384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2217 + -2222. Let m be (-2)\/(-7) - (-66)\/14. Put 0.2, -4, p, m in decreasing order.\nAnswer: m, 0.2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20733*t**2 - t + t - 22536*t**2.\nAnswer: -1803*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = k + 2*k. Let s be (10 + -11)*(1 + 1). Let v be (-2)\/(s - 22\/k). Calculate the greatest common divisor of 108 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*h**2*v**2 - 56*h**2*v - 125*h**2 + h*v + 1892157*v**2 + 2257*v wrt v?\nAnswer: -90*h**2 + 3784314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, z: 1, s: 2, b: 4, e: 6}. Give prob of sequence be.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**2 + 0 - 1\/20*n**5 + 0*n + 0*n**3 - 1\/112*n**8 + 0*n**4 + 0*n**7 + 0*n**6. What is the third derivative of t(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x, -104*f - 2*x - 20 = -106*f. Factor 0*u + 0 + 11\/9*u**3 - 7\/9*u**4 - 5\/9*u**2 + 1\/9*u**f.\nAnswer: u**2*(u - 5)*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + t = -1, w + 0*t + 4*t = 16. Let f(o) = 0*o**2 - 5*o + w + 4*o**2 + 3 - 3*o**2. What are the prime factors of f(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 3\/4, 1\/4, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47043 + -81277. What is l rounded to the nearest 100?\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 12*o**2 - 47*o - 26. Let h be q(-15). Calculate the lowest common multiple of 45 and 1\/h + (-3 - 455\/(-20)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295501652.\nAnswer: 2, 271, 272603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 9353, 31314, 74117, 144710?\nAnswer: 250041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (657\/360)\/((-84)\/16) and -65\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99627325 and 117865?\nAnswer: 99745190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*d - d = -6, 5*o = -2*d + 13. Suppose -3*g + 30 - 6 = 0. Solve g*y - o*y = -5*s + 40, 4*s = -y + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-9))\/8*(-15)\/(-10). Solve 3 = 5*v + 3*c + t, 4*c = 5*v + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 - 4*b**3 - 105846*b**2 + 8414*b - 28266?\nAnswer: 12*b**2 - 24*b - 211692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose 3*l + 5*d = 4*l + 24, 4*l - 4*d + 32 = 0. Suppose 3*b = -3*n + 18, 3 = 5*b - 3*n - n. Put b, l, g in increasing order.\nAnswer: l, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, d: 7, o: 3, h: 2, n: 4}. What is prob of sequence nhnd?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8527*g**2 - 212*g - 91.\nAnswer: 17054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14043327 divided by 1\nAnswer: 14043327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1315 - -1333. Is o less than 77\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + -29 + (128 - -8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1923300 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6467 - 45 = 358*t + 3943 + 1359 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) + 1\/(-3). Let y(c) be the first derivative of -11 + c**3 + 1\/2*c**4 + 1\/2*c**2 - c. Calculate y(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 13*o + 12. Let g be k(7). Find the common denominator of 137\/6 and 697\/30 - (-3 - (-17)\/g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2584 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 7\/(14\/6). Suppose 3*c = -j - 0*j, c - 8 = -3*j. Are o and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose 3*k - 17 = -2*y - 2*y, 0 = -n*y + 8. Let l(u) = 2*u**2 - u + 2. Determine l(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 5698176894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 10 = 5*k + 3*r, -4*r = -4*k + 8. Let q be ((-3)\/9)\/(k\/(-12)). Suppose -q*z = 5*c - 140, -3*c - 4*z + 98 = -0*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 7, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - 5.8. Which is the third smallest value? (a) k (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -244, -5, -4, 4 in increasing order.\nAnswer: -244, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7066.244 decades in months?\nAnswer: 847949.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 20*s + 8*s + 6*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + k**2 + 3*k - 1. Let s(z) = 506*z**3 - 138*z**2 - 414*z + 138. Give -138*m(b) - s(b).\nAnswer: -230*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 14*v + v. Let m be -3 - 0 - (-15 + 2). Let s = m + -13. Let u(x) = -2*x. Determine s*a(g) - 14*u(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l\/(l\/l**(2\/7)*l))*l*l*l\/(((l\/(l**(-3)*l))\/l)\/l*l*l)*l\/(l\/(l\/l**(1\/4)))*l*l\/l**3)\/((l**2*l**(-2))\/l**(-1\/35)) assuming l is positive.\nAnswer: l**(621\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (2 - 3) + 761 + 1. Calculate the remainder when 1\/2 - (-4 - i\/12) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -2208, -2203, -2198, -2193?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 644708 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27580 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/15884633 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from ppppoppppppp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*u**2 - 272*u**2 - 291*u**2 - 302*u**2.\nAnswer: -680*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + 15*f**2. Let c(n) = 16*n. What is c(t(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3780334 is divided by 3780314.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.723438 to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7))\/d)**(-25)*(((d*d*d**(1\/17))\/d)\/d)\/d**(-5\/16) assuming d is positive.\nAnswer: d**(-47499\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 - 143. Let n be (12\/(-48))\/((18\/32)\/3). Which is the closest to n? (a) -13 (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.03 - -0.03. Let p(u) = -7*u**2 - u. Let t be p(1). Let m(h) = h**3 + 8*h**2 + h + 8. Let j be m(t). Sort j, k, 2.\nAnswer: k, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.00593 (b) 0.4 (c) 8 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -89395645?\nAnswer: 4\/89395645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1282.812.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 + 74. Let j = 196 + x. Solve m - 6 = -j*p, 5*m = -3*p + 4*p - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1829*i = 2002*i - 3287 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -0.353\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, and 2 q when four letters picked without replacement from rxkeqqm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o + 4*o)*((1 - 3 + 3)*(0 + 0 + 2*o) + 2 - 2 + 2*o - 2*o + 5*o - o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2972.16108 microseconds?\nAnswer: 0.0000000049142875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181 and 1.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 927 or -30877?\nAnswer: 927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.261 in 1\/4, 1, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 2*l**2 - l - 2. Let h be (18\/(-4))\/(3\/(-4)). Suppose -9*w = -12*w + h. Determine m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/60 - h**4\/24 + h**3\/3 + h**2. Let x be l(0). Let j be 0\/(x\/(-2) - 0). Solve j = 3*c + 8 + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhmhhmrhhhhhmhhhhhh.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2899 - 2899 + r**2 - 103*r - 4*r**2 to the form m*r**2 + y*r + g and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6\/11, -3\/2, -2\/9, 13899?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*o - 18. Suppose 5*j - o = m, 5*j + 0*j - 19 = -m. Suppose -29 = -5*c + 5*h - m, 5*c + 4*h = 34. Solve 0 = 2*s + c, 0 = t - 0*s - s - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2226 - 1323152?\nAnswer: -1320623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:36 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**5\/20 - c**4\/8 - 2*c**2 - 19*c. Let v(p) be the first derivative of w(p). Determine h so that v(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194918*z + 195024*z - 3286 = 0 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1041612 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17386 (base 15) to base 13\nAnswer: -28212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 79872016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 1\/180*l**5 + 0*l**3 + 0*l + 1\/360*l**6 + 0*l**4 + 0 + l**2. Factor p(t).\nAnswer: t**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**3 - 8*u**3 + 29*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 13*x**2 + 2. Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/19, 4, -2\/3, 15, 0, 1\/254?\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1848, -1, -2, 3.\nAnswer: -1848, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 + 809*m - 86 + 33)*(-2 + 6 - 3) to the form i*m + j and give i.\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*f**3 + 24 - f**3 - 6 - 2*f + 7 wrt f.\nAnswer: -138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + 2 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a + 2*b = -68994, 4*a = -5*b - 91985. What is a rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4 + 8. Suppose -w - o*w = -10. List the prime factors of ((-2)\/(-3))\/(w\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) -15 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*g*q**2*v - 1554*g*q*v - 4*q**2*v + 20*q**2 - 12*q wrt q.\nAnswer: 144*g*v - 8*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*s - 8 = 0, 102*r + 6 = 106*r + 3*s. Solve r = -2*c + 2*j + 8, c + 3*j - 18 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -178, 76, 3, -1 in decreasing order.\nAnswer: 76, 3, 0, -1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 0.5 (c) 96 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -144.\nAnswer: -144, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (9 - -1) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1206 or -46594?\nAnswer: -46594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 39\/2*l**2 - 15*l - 1\/3*l**3 + 0. Let w be r(20). Let q(h) = 7*h**3 + 1. Calculate q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - y**2 - 14 + 64*y - 65*y + y**2. Is i(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111329 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Suppose 4*s - 96 = -4*q + 532, -475 = -3*q - 4*s. Let x = -148 + q. What is the biggest value in x, h, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:59 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1454*r - 48 = -1446*r - 5*w, -r - 2*w - 6 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + -10 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65aa3 (base 15) to base 11\nAnswer: 200772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64088 by 1.\nAnswer: 64088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 8)*198\/4. Suppose 0 = -15*u + 2*u - 572. Let d be (t\/u)\/(2*1\/8). Let c(q) = -8*q**2 + 9*q. Let n(w) = -2*w**2 + 2*w. Give d*n(f) - 2*c(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26215, -52408, -78601, -104794, -130987, -157180?\n\"Answer: -26193*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Suppose r = -u - 4*u. Solve 0*b + 3*b + 12 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlm when three letters picked without replacement from {w: 2, l: 1, m: 1, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -46. Let u = h + -37. Let m be 4\/(-12) - u\/(-45). What is the nearest to -2 in 0.5, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1134415*i + 490. Let p be o(-6). Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 16*s**2 - 16*s - 13. Calculate i(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362997357?\nAnswer: 19, 71736703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/21 + (-16)\/(-6). Solve 2*q + 4 - b = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**5 - 3*p**4 + p**3 + p**2 - 6*p - 1. Let g(v) = 4*v**4 - 2*v**3 - 2*v**2 + 6*v. Suppose -5*r - 6 - 4 = 0. Let t(i) = r*h(i) - 3*g(i). Factor t(s).\nAnswer: 2*(s - 1)**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 24*x + 1400. Determine q(-60).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 1474*l - 1474*l. Let f(z) = -9*z. Determine a(f(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1500\/24)\/25*104\/78*(-2)\/160?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/35 and 179\/2340.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 3*s**2 + 5*s**2 + 0*s + 6*s**2.\nAnswer: 14*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -463, -345, -215, -67, 105, 307?\n\"Answer: x**3 + 111*x - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 - 6*l**2 - 25*l\/2 - 19\/3.\nAnswer: (l - 38)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:17 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20. Suppose 3*d + h = 9. Find c such that 5*c - 7*c**3 - 7*c**3 + 10*c**2 + 9*c**d - 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -118 - 44 + 9 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 66 = 51*n + 520 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3159 = -n, -1080 = 6*a - n - 10547. Calculate the remainder when a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 8 = -2*a, -a = -2*y - 4. Suppose -a*r + 4*c + 2716 = 0, 12*c - 17*c = 25. What are the prime factors of r?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*m = 18 - 15, -12 = -4*o - 8*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6317*l*n**2 + 399*l*n + 842*l - n**2 + 2*n + 11513 wrt n.\nAnswer: 12634*l*n + 399*l - 2*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111011001100111 (base 2) in base 13?\nAnswer: 585c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060145.\nAnswer: 5, 11, 55639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-4\/9)\/z*z*z)\/z)**43*z*z\/z**(2\/15)*z**(-3)*z assuming z is positive.\nAnswer: z**(1069\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 9*u - 8*u - 3*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -130685585.06 and 0.16.\nAnswer: -130685584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 57*y**2 - 61*y - 156. What is f(-58)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 198 + -14?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 190531664*f - 9075578746652224.\nAnswer: -(f + 95265832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 a factor of 396059376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2)*i**(-2)*i)**(-2\/45)\/(i\/(i**(1\/2)*i)*(i*i**(-1\/2))\/i*i\/i**3*i**4*i) assuming i is positive.\nAnswer: i**(-86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.4, -3\/16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3*h**6 - 13*h**5\/5 - 11*h**2 + 4*h + 548. Find the second derivative of l(j) wrt j.\nAnswer: -360*j**3 - 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 n when four letters picked without replacement from {n: 15, a: 3}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k + 90. Suppose -150 = 12*n - k*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((328\/(-192))\/41)\/(((-8)\/(-12))\/2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:51 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 - 28*g**2 - 35*g**2 + 94*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 12. Let x be (6\/r)\/((-6)\/8). Suppose x*s + 4 - 8 = 0. Solve -25 = s*j + 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -5*u = f - 243, -f = b*u - 3*f - 138. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*u + 8*u. Suppose -3*p - 5*c + 43 = 0, u*p + 2 = 2*p + 4*c. Is 1772\/p + (-4)\/(-36)*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -1\/3, -273, -0.01 in ascending order.\nAnswer: -273, -1, -1\/3, -0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*z - 32, -8*i + 46*z - 47*z = 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -12, 51, -3, 0.3 in ascending order.\nAnswer: -12, -3, 0.3, 3\/7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5\/2 - 28*v**4\/3 + 37*v**3\/2 - 38*v**2\/3 + 2*v = 0 for v.\nAnswer: 0, 2\/9, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2. Let p(d) be the first derivative of 16 + 0*d + 1\/2*d**2. Calculate p(g(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2*v - 11*r**2 + r - 41*v wrt v.\nAnswer: 3*r**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose x - s = 8. Calculate the remainder when x is divided by (0 + 1)\/(1\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -598 and -595 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -64\/3, 3\/8, -3 in increasing order.\nAnswer: -64\/3, -3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*a = -53*a - 1076229. Let r = a - 33728. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10542488.\nAnswer: 2, 11, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 147\/5, 1\/2, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4*m + m)*(-m**3 + 3*m**3 - m**3) + (-20 + 45 + 42)*(-5*m**3 + 3*m**4 + 5*m**3) to z*m**3 + k*m**4 + f*m + c + y*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344641749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 584 + 1742 - 78*m**4 + m**2 - 578 - 579 + 3*m**3 + m to x*m**3 + q + n*m**4 + f*m**2 + u*m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 204\/(-9) + 1\/(-3). Is 8\/(-28) + (-47692)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 348, 1677, 3866, 6897, 10752, 15413, 20862, 27081?\n\"Answer: -3*v**3 + 448*v**2 + 6*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 + 531*u - 6396 = 0. Calculate u.\nAnswer: 13, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 16. What is the remainder when 5848\/40 + (-147)\/35 + 4 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/9*9\/6. Let v(z) = 2*z**2 + 5*z - 6. Calculate the remainder when v(t) is divided by (54\/4)\/(21\/56).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3623200 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -716896.2 to the nearest one thousand.\nAnswer: -717000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 739586.1 microseconds?\nAnswer: 0.012326435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 7*q**2 - 15*q + 1 - q**3 - 35*q - 1 - 2*q**4 as d*q + g*q**3 + s + n*q**4 + j*q**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 35. Calculate the lowest common multiple of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let w be 20\/21 - (-42)\/(-147). Let r = -8 + 6. What is the biggest value in f, w, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 0 + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 12, 3\/7, -1\/6, -76\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42807343.\nAnswer: 17, 2518079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24114350 (base 7) in base 14?\nAnswer: -3d9460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 5 - 3)*(-3 - 2 + 7) + 0 + 1 - 3 + 4 - 1 - 1 + 3711 + 13788 - 5626 + 6941 + 24213)*(-u - u + 0*u) to c + y*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhuhhhusshh. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*o**2 + 38175160*d**2*o + 100795419*d**2 wrt o.\nAnswer: -2*d**2*o + 38175160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83478, -333911, -751302, -1335651?\nAnswer: -2086958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-500)\/120)\/(2\/(-12)). Let j be 30\/r*(-1 - (-39)\/9). Solve 0*h = j*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 26*l - 7. Let y(x) = 13*x - 4. Let m(c) = 3*r(c) - 5*y(c). Give m(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/1260 - i**6\/180 + i**5\/60 + 5*i**4\/12 - 16*i**2. Let o(j) be the second derivative of f(j). Is o(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + x + 7*x + 2*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51930306 by 18202.\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 57, 131, 217, 303, 377, 427?\n\"Answer: -2*i**3 + 24*i**2 - 8*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.1. Let j = 0.01 - 1.01. What is the smallest value in j, -11, o?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f = -734 + 57 - 59 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 644513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60658, -121357, -182056, -242755?\nAnswer: -303454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 893025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -53*j**2 - 60. Let c(i) = -106*i**2 - 122. Let n(y) = -3*c(y) + 5*l(y). What is the first derivative of n(k) wrt k?\nAnswer: 106*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -i + 24 - 0, i = 3*h + 18. Suppose -m + 0*m + 228 = 5*l, 189 = 4*l + 3*m. What is the highest common divisor of l and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 62*z**2 - 63*z - 55. Let v be d(25). What is v rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a decade in months?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let t be o(8). Let z(n) = 5*n - 33. Calculate the least common multiple of z(t) and 17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -3323\/25. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, q: 2}. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let p(s) = s**2 - 5*s - 9. Determine 4*l(m) + p(m).\nAnswer: m**2 - m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19540*k - 19543*k = -2*y - 73, 0 = 2*y - 4*k + 70 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.387779045 rounded to three decimal places?\nAnswer: 5.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723241, 1446457, 2169671, 2892883, 3616093?\nAnswer: 4339301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.978 - -0.022. Let i = 102 - r. Which is the second biggest value? (a) i (b) 0 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -39151*g**5\/20 - 11*g**4\/12 - 4*g**3\/3 - g**2 - 6*g + 29. Let k be j(-3). Round k to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 5*f, -4*y + 4*f = -7*y - 10. Let d be (0\/(-2) + -2)\/(y\/(-69)). Let n = d - -131. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 3*b = 153. What is the least common multiple of 5 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/204774 and 131\/36.\nAnswer: 1228644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + 49. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 + 226*v**3 - 120*v**2 - 4472*v - 6720 = 0 for v.\nAnswer: -10, -3, -2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 56. Let m = 3.8 + -5. Let u = 2.8 - m. Which is the smallest value? (a) d (b) u (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 + 3*l**2 + l**2 - 7*l - 2*l**2 - 3*l**2.\nAnswer: -l**2 - 7*l - 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3337 + 17802. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 379, 505, 631?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-290)\/(-87)*9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04640421 rounded to four decimal places?\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612 = 5*b + 1652, 4*l + 39 = -14*b - 31 - 38 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 36 = -3*q + 7*q, -q = i - 8. Let t be (3\/6)\/(1\/q). Suppose t*f = 4*f. Do f and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. What is the closest to o in -1\/10, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 55. Let v be g(19). Suppose w - v*b = -2*w + 52, 5*w - 87 = 3*b. Let j = 155 + -90. What is the remainder when j is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c - 1\/48*c**4 - 1\/120*c**5 - c**2 + 2 + 0*c**3. Let s(q) be the second derivative of x(q). What is z in s(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*h*r**3 - 30*g**3*h - 3*g**3*r**2 + 15*g**2*h*r**3 - 5*g**2*r**3 + h*r**2 wrt g?\nAnswer: 6*h*r**3 - 180*h - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*f**2\/7 + 246*f\/7 - 24\/7.\nAnswer: -6*(f - 4)*(10*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5 - 4*z**2 - z**3 + 17*z**2 + 4*z**2 + z. Let j be c(17). Suppose -10*a - j = -4*a. Is a at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/120 + 11*h**4\/48 - 2*h**3 - 2*h**2 + 22. Factor v(i).\nAnswer: -(i - 8)*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npspnfppnsppuuu. Give prob of picking 2 s and 2 u.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17286 - 133*p**3 + 17286 - 34572.\nAnswer: -133*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nndt when four letters picked without replacement from fdwtnno.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -5 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/22*(2 + 238)\/(-2). Let x be (-574)\/(-4) - 9*10\/m. Is x at least as big as 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(34)\/(-2*sqrt(2)).\nAnswer: -sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 41. What is the remainder when (9\/o)\/((-2)\/426) is divided by 38\/2 - (-10)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 29 + 29)*(264 - 369 - 261 - 338 - 17) in the form o + j*u and give j.\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*w + 348 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5424259 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 53*g**2 - 26*g + 61. Calculate y(26).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - 95. Let w(l) = -39*l - 47. List the prime factors of w(p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 54. Suppose 0 = h*y + 3 - 7. Solve -g - 4*j = -y, 2*g = -0*g + j - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 + (-4068)\/126)*154\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(300) + 4 + 0 + 4)**2.\nAnswer: 640*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10417*q + 3719*q + 1554111 = 7303*q for q.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r + 770. Let s be i(-59). Determine t so that 2\/3*t + 0*t**4 + 0*t**2 + 2\/3*t**5 + 0 - 4\/3*t**s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 + 803. List the prime factors of m.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 0 + (-26)\/(-10) - 0. Which is the smallest value? (a) 81 (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*(-15)\/900*25)\/(2\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) 2\/21 (b) -2699 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 >= 46388629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 10 + 6*g.\nAnswer: 6*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**6 + y**5 - 332*y**3 + 1318*y**2 wrt y.\nAnswer: -480*y**3 + 60*y**2 - 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -1105.67.\nAnswer: -1105.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 13*b**2 - 48*b + 619. Is l(23) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 164672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 85. Suppose -5 - k = -5*x. Let u(h) = -9*h**3 + 4*h**2 - 8*h**3 + x*h**3 + 4*h + 2. What is u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:20 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 13*t - 9. Let l be g(-4). Let n = 691 - 39. Suppose -k = -2*a - 154 - 45, l*k + 5*a - n = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4)**(-10)\/(a\/(a*a**(3\/7)))**(4\/5) assuming a is positive.\nAnswer: a**(1062\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from kkkkkkikkkkkkkkv.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11658493*y**4 + 4*y**3 + 131905221 wrt y?\nAnswer: 46633972*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-6))\/(4\/32). Put -0.5, t, -0.02 in increasing order.\nAnswer: -0.5, -0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = l - 2, 4*r = -2*l + 8. Suppose 9 = -6*q + 15. Let y be 90\/(-45) + q*2. Put -5, l, y in descending order.\nAnswer: l, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let n be (-1)\/(-2)*i\/(-2). Let z = -6.4 - -6. Which is the smallest value? (a) z (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.586076 weeks in microseconds?\nAnswer: 354458764800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 + 34 = 0. Let f(k) be the third derivative of k**5\/5 + k**4\/24 - 5*k**2. List the prime factors of f(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:27 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325)*-1.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -5, 0, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 8. Let x = h - -27. Calculate the least common multiple of x and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 77665 + 60385. Does 192 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 377, 893, 1627, 2579, 3749?\nAnswer: 5137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/18)\/((-1)\/(-30)). Let u = x + 35. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 3. Suppose -4*h + 20 = 0, 5*y - 3*h - 308 = 832. Is 360087\/y + 2\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 765494423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyibbybywyyyibbbb. Give prob of sequence ib.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1422*v - 1328*v + 994*v - 1070*v in the form l*v + d and give l.\nAnswer: -2826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2000 (base 4) to base 3\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2123 + 857. Suppose 19*k = 23107 + y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7169, 4786, 2403?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18904039 and 33271.\nAnswer: 926297911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -75643.648 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q - 5*q**2 + 4*q**2 - 13*q - q**3 - 6*q**2 - 1. Give i(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -12*u**2 - 596*u + 816 = 0.\nAnswer: -51, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 19*n**2 + 17*n + 43. Let t be q(16). Let y = 4899 + t. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -757.05 times 0.2\nAnswer: -151.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let w(m) = 1. Let z(l) be the third derivative of -1\/6*l**3 - 1\/12*l**4 + 0 + 0*l + 6*l**2. Let g(n) = -4*w(n) - 4*z(n). Determine g(c(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 978, 2930, 6664, 12786, 21902, 34618, 51540?\nAnswer: 73274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*t = -4 - 50, 5*t = 10. Let z be (-52)\/(-9)*(9 + 231\/s). Suppose -3*a - 4*b - 38 = 0, -4*b = a + 8 + 10. Which is bigger: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -157, -242, -335?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18527 is divided by 1834?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80226 - 122829. Round p to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/4)\/(18\/2))\/(37\/(-3663)*22)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabbb. What is prob of sequence bb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11)*y*y**(-5\/2)*y*y)**28)**(-12\/11) assuming y is positive.\nAnswer: y**(-2520\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + v**2 - 2*v**2 + (-2*v - v + 2*v)*(63 - 17*v - 63).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -70, -104, -136, -166, -194?\n\"Answer: s**2 - 39*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29109 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84200249*z**2 + 5485*z + 1152?\nAnswer: -168400498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 24 = -17*q. Let x = q - 10. List the prime factors of -148*(36\/x - -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1099a + -100?\nAnswer: 1089a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 - -264. Let p be 6*(1\/y - (-996)\/144). Calculate the highest common factor of p and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.644 + -3.356. Let p = -22 - -15. Sort k, 0.4, p.\nAnswer: p, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131480 is divided by 5478.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/8 - 236607*o**2\/8 - 634996725*o - 3993333669099\/2.\nAnswer: -3*(o + 3777)*(o + 37546)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-6 - -10) - -4. Let t(a) = 3*a**2 - 3*a - 72. Is 48 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000805303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**(-2\/3)\/f)\/f)\/f*f)\/(f**(-10\/7)*f*f))\/(f*(f**(-5\/14)\/f)\/f*f*f*f**27*f) assuming f is positive.\nAnswer: f**(-1297\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9014130, -9014123, -9014116, -9014109, -9014102, -9014095?\nAnswer: -9014088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r - 12. Is j(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/(l*l**(-6)))\/((l*l**4)\/(l\/(l\/l**(-3\/4)*l))) assuming l is positive.\nAnswer: l**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1 - -3))\/3. What is the fourth smallest value in m, 0.2, -1\/4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9827969 centuries in millennia?\nAnswer: 0.09827969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -483, -777, -1115, -1503?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -38 + 62 + 1438*s - 24 + 6882*s. Let u(o) = 57*o. Let h(r) = -585*u(r) + 4*x(r). Let l(m) = m**2. What is l(h(g))?\nAnswer: 4225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -269323519*3\nAnswer: -807970557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103 (base 5) in base 16?\nAnswer: -28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2\/5 (c) 3\/5 (d) -3\/2 (e) 3\/2 (f) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtvi when four letters picked without replacement from vivvvivvtii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = o, 2*q - o = 2. Let a = q - 3. Is 22\/4*(3 + a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 735?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.072764 nanograms in tonnes?\nAnswer: 0.000000000000006072764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cen when three letters picked without replacement from {e: 3, c: 3, n: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1106\/30 + (42\/(-24))\/(105\/(-8)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 99. Suppose -3*a - l = -5*x, 5*x - 127 = -2*a + 17. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - 21\/(-2). Let f(d) = -d + 10. Let z be f(a). Suppose z = -3*s + 7*s - 8. Sort s, -4, 1 in descending order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1260 = -4*o - 404, -5*y + 1070 = o. Let i = -144 + y. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240311317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790760 is divided by 263127?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 995 = -5*y, -4*y - 1003 = -5*g - 7*y. Is g a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxci when four letters picked without replacement from miimmmxmxomc.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 14394.46895335?\nAnswer: 14394.06895335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1313*a**4 + 1300*a.\nAnswer: -15756*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (4 - 0)) + -2. Suppose -n - k = -4. Let c(j) = j + 4. Let w(v) = -v - 3. Let h(y) = n*w(y) + 2*c(y). What is h(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.407844 times -0.3?\nAnswer: 0.1223532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17600 and 283008.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*r - 10 + 10 - 955*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpqq when four letters picked without replacement from qqqqqqpqpqqppqqpqq?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yff when three letters picked without replacement from ykfkfkf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963154981634899*d - 963154981634899*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240891 is divided by 413622.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-27) - (-56)\/(-36). Let q = 8.02 - -0.38. Let f = q + -8. What is the smallest value in 5, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1\/133, -0.38, 4?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 25. Suppose 0 = -15*n + i*n + 32. Solve 0 = o + n - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssstsssssssttssssst. Give prob of picking 3 t and 1 s.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 1820.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59327 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 13 + 3 = 0, -2*w + 4*j + 56 = 0. Solve -2*c = n - 10, 0 = -5*n + 5*c - 7 - w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (590\/(-7))\/(-10) + -8 + 114\/28.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 + 10792*a**2\/11 - 14150890*a\/11 - 1107073300\/11.\nAnswer: -2*(a - 2735)**2*(a + 74)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 782*n - 211905. What is g(271)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -48868*y**2 + 3958276*y + 2592 = 0.\nAnswer: -8\/12217, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 - 4)*(1 - l - 1)*(-1 + 2 + 3) to i + m*l and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 - 5*z + 25. Let r be o(-8). Let l = -60 - r. What is the closest to -2\/5 in l, 4\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 6, d: 7, s: 1, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189660397 + 33380324727\/176. Let j = a - 5870\/11. Find the common denominator of j and (1 + (-23)\/24)\/(6\/440).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**6\/2 + k**4\/4 - 46*k**3\/3 + 71. Find the third derivative of r(g) wrt g.\nAnswer: 540*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/265749 and -126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41852 and 1.\nAnswer: 41852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*a + 85 - 131 + 46.\nAnswer: -261*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -3\/5, -139, 4\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 938.4 and 11?\nAnswer: 10322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 44545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56831 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 not equal to 362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -73233?\nAnswer: 73222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 33*n + 264. Let s be t(-13). Solve -6*h + s = -9*h - c, -2 = 4*h + 3*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2. Suppose 0*a + a = 2. Let d(q) be the first derivative of q**2 - 11*q**2 - 2*q**a + 18*q**2 - 6. Calculate d(c(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 499 = 7*q + 2*m, -4*m + 206 = 2*q. Calculate the greatest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1610186?\nAnswer: -1610186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0474 * 6.\nAnswer: -0.2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 16\/2)\/((-4)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -36843 and -1.\nAnswer: -36844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 + 711*y**2 + 567*y + 823. Determine a(143).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 5*a + 8. Let k be q(6). Suppose 12*u - 10*u - 34 = 0. Let z = -17 + u. Solve z = 5*t - k*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.68 + -83.32. Let y = t + 84.99999815. What is y rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5279 - 1545 + 2*v**2 - 2*v + 4135 + 427.\nAnswer: 2*v**2 - 2*v + 8296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -13714 > -13714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -24, -48, -80?\n\"Answer: -4*r**2 - 4*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*u**3 - 725*u + 2886*u**2 - 2002*u**2 + 2*u**3 wrt u.\nAnswer: 12*u + 1768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1. Let g(p) = -3*p + 7. Let i(v) = -2*c(v) + g(v). Let h(f) = -2*f**3 - 2*f**2 + 2*f. Let q be h(-2). Give i(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 11*b - 8*b + 5, -3*b - 13 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 509.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 25*b + 101. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 117*z**5 + 47734*z**4 + 46803*z**3 - 814*z**2 = 0?\nAnswer: -407, -1, 0, 2\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44975\/4 + -11298. Let k = c + 54. Are k and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (10 + -13 + -33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*a - 205*a + 126 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 1.9.\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2016 + -4387. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2412 divided by 804\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 6 + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/5 - 166*q**3\/5 - 4058*q**2\/5 + 33422*q + 34200 = 0.\nAnswer: -36, -1, 25, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + 2*o + 1. Let c be w(-1). Suppose -2*m + 1 + 3 = 0, 0 = -c*n - 3*m + 201. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1385\/(-1939))\/(((-20)\/(-28))\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153680881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**2 + z + 7. Let p(u) be the second derivative of u**4\/12 - u**2\/2 + 4*u. Calculate 6*p(a) + r(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:38 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56914 or -56916?\nAnswer: -56914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 68*y**3 - 212*y**3 + 3 - 2 as w*y**2 + i*y + b + g*y**3 and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2203, 5109, 8301, 11779, 15543, 19593?\nAnswer: 23929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a)**34 assuming a is positive.\nAnswer: a**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 10. Suppose -2*v - 18 = -3*t + 3*v, 5*t = -3*v - 4. Let c(p) = -1. Determine t*f(j) + 6*c(j).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 351 - 352. Let f(z) = z - 1. Let u(o) = -6*o - 3. Give a*u(g) + f(g).\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.436 - -9.746. Let t = 192.11 - x. What is t rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39637834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*g + 23*i + 1561 = -186*g, -5*i - 108 = -3*g + 223 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -6, 145 in ascending order.\nAnswer: -28, -6, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37320, 74438, 111554, 148668, 185780, 222890, 259998?\nAnswer: 297104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13293 divided by -22549\nAnswer: 13293\/22549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 24. Suppose -3*v + 6 = 0, d*v - 44 = -g + 2*v. Suppose -4*h + 10 = -g. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.699 + -6.699. What is the closest to -2\/3 in -13.6, 0.3, 2, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332800 to the power of 1\/2, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -62518453 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/20 - 2*q**4\/3 + 7*q**3\/3 + 20*q**2 - 280*q - 13. Calculate x(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 8) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -354, -351, -348?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180\/43 - -4733\/1634. Let s = 2409\/380 + u. What is the common denominator of 99\/142 and s?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 692580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 4. Let s(w) = -219*w - 15. Give -4*m(z) + s(z).\nAnswer: -223*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14 - 918\/(-1008))*-2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3330*s - 106540. Determine v(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 - 180*m**4 - 2552*m**3 - 9368*m**2 + 27132*m - 15028 = 0?\nAnswer: -17, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (44 - (-10 + (1 - -16) + 5))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2167 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x**(2\/15)*(x**(-3))**(-2\/9) assuming x is positive.\nAnswer: x**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 255 + 3203 = 0. Suppose 5*c + 2*j - 274 - b = 0, c = 2*j + 352. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001694728 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/610 and 28\/183.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -5 (c) 0.3 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 542060.7 decades in months?\nAnswer: 65047284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 0.01\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 21. Calculate f(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - 3*d**2. Let n = 2 + 7. Suppose -4*w = -w - n. Let v(g) = g**3 + g**2. What is w*v(a) + i(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 704*o**2 - 2774*o**2 - 971*o**2 + (1 + 2 - 4)*(o - o + 2*o**2).\nAnswer: -3043*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/3*48\/(-40). Factor -4*v**3 - 30*v**4 - 38*v**r + 13*v**2 + 35*v**5 - 31*v + 57*v**2 - 2.\nAnswer: (v - 1)**3*(v + 1)*(35*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011.47746 rounded to the nearest ten?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7887, -7889, -7891, -7893?\n\"Answer: -2*c - 7885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/976160 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3450254 or 3450258?\nAnswer: 3450258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 1. Let l be a(2). Let r = 38 + -28. Suppose 0*y = c + 5*y - 25, -r = c - 2*y. Solve 0 = 5*z - c*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69623648 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-43)\/(z*z*z\/z**(-20\/9)*z) assuming z is positive.\nAnswer: z**(-443\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20500141 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102210022 (base 3) to base 2.\nAnswer: 110111001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Let z be ((-2)\/(-5))\/(21\/5). Let m = -4\/13 - 6\/65. What is the closest to m in z, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-6 - -23) - 2) + (73 - -12) - 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -2\/21 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/39)\/((784\/(-3640))\/((-4)\/(-10))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -4*c**3\/3 + c**2 + 3*c + 29. Let w(r) = -8*r**2 + 5*r + 7. Give 5*l(p) - 2*w(p).\nAnswer: -4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -179. Let a = -1 + l. Let y = -61 - a. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391497 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - -2*sqrt(20)*2)\/(2*sqrt(10)*1).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 34*p = -255 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:38 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 160922.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 3*z + 10, 5*i = -2*z + 16. Let l be ((-8)\/12 - 2) + i. Which is the smallest value? (a) 8\/3 (b) l (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270620, -2164819, -7306208, -17318381, -33824932, -58449455, -92815544?\nAnswer: -138546793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -5\/2, -5, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - d = -2*d - 38, -5*d = -20. Solve o + 2*r + u = -2*r, 0 = 4*o + 4*r + 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 + 388.5. Let n = 1 - 1.1. Which is the second smallest value? (a) 5 (b) -2 (c) v (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 13*z - 7. Determine r(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1005*g - 4769. Give j(-5).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -226245990 rounded to the nearest one million?\nAnswer: -226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 643 in decreasing order.\nAnswer: 643, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328302 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 168588 divided by 14049?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.04 (b) 2\/5 (c) 0.1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 148103, 148070, 148015, 147938, 147839, 147718, 147575?\n\"Answer: -11*f**2 + 148114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(2\/7))\/b)**(1\/3)\/(b**0)**(-1)*(b**(-4\/5)*b*b)\/b*b*b**(-5)*b*b\/(b*b*b**(-6)\/b)*b**(2\/9)*b assuming b is positive.\nAnswer: b**(1633\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3269 + 3270. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:06 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -8220?\nAnswer: 8217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 551 = -5*g + 553, -5*m + g - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/39 (c) 690\/11 (d) 1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787871965?\nAnswer: 5, 1597, 98669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 11100?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w**3 + 122*w**3 + 0 + 0 - 61*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -153475 < -153032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(6912) - sqrt(6912)) + -2 + (sqrt(6912) - (sqrt(6912) - -2*sqrt(6912)))**2*4 - (3*(-3 + (-1 + sqrt(6912) - sqrt(6912))))**2)*5.\nAnswer: 552235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/12 + 23*f**3\/6 + 40*f**2 - f - 8. Let h be v(26). Factor -27\/2*a - 3\/4*a**h - 243\/4.\nAnswer: -3*(a + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353 times -18\nAnswer: -6354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5281387.21 and -0.02.\nAnswer: 5281387.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/57896 and 23\/48.\nAnswer: 347376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 380*f + 518. Let j be o(-126). Solve 14 = -70*c - j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*t - 480, -2*t - 2*a + 22 + 458 = 0. Calculate the greatest common divisor of t and 14760.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12121\/11 - -1102. Put b, -0.0527, -0.1 in increasing order.\nAnswer: -0.1, -0.0527, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 80 = -25*l. Let m be (-3)\/(12\/l)*9\/(-27). Which is the closest to 2? (a) 0.1 (b) -0.1 (c) -0.4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 21001102?\nAnswer: 21001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 991*l**2. Let f(b) = 6*b**2 - 1. Calculate f(m(c)).\nAnswer: 5892486*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1226\/6743)\/(12 - ((-3)\/(-5) + (-8)\/(-20)))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 61 = 11. Let j = r + -21. Let w be (j + -1)\/(1\/5). What is the highest common factor of 110 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 18948 + 3394 - 2*i**3 + 2*i - 2*i**2.\nAnswer: -2*i**3 - 2*i**2 + 2*i - 15554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*l**3 - 6*l**3 + 5*l**3 + (85*l**2 + 71*l**2 - 103*l**2)*(-3 + 3 + l).\nAnswer: 78*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.97801 rounded to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943916063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-3) + 1 + -10926*(-50)\/(-26100)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -2\/39*o**3 - 2\/13*o - 2\/13*o**2 + 4. Solve i(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 160. Let d be (-4)\/6 + o\/15. Suppose -2*a + d = -0*a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540\/13 at least 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20682?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 2\/5, 209\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.663 - -442.037. Let p = 450 - u. Let o(y) = -y**3 - 2*y**2 + 3*y - 2. Let j be o(-3). Put 0.5, -3\/5, j, p in decreasing order.\nAnswer: 0.5, p, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 - 12*k**2 + 17*k**2.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981 = -121*h - 255 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46152 is divided by 1330?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 10*y**3 + 29*y**2 - 8*y**3.\nAnswer: 2*y**3 + 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8322, 16646, 24960, 33264, 41558, 49842?\n\"Answer: -5*s**2 + 8339*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68786042 and 2470.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*t = 3*a - 93, t + 171 = 5*a. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 3*c)*(-2*c - 3*c + 7*c) + 0 - c**2 + 0 + (1 - c - 1)*(5*c - c - c) + 18*c**2 - c**2 + 27*c**2 to n*c + t + b*c**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 2414 = 36*m - 142*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/(-60) + 926\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68805 and 386110725.\nAnswer: 1158332175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 17. Suppose -f = -5*c, -5*s - 2*c = -2*s - 4. Suppose -x + s*x - 50 = -3*b, -2*b - x + 35 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, 1 d, and 1 e when four letters picked without replacement from yyqqyueyeyydeed?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/8 + r**3\/3 + 2*r**2. Let s = 137 + -75. Let g = s - 59. Determine q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113964270 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/21))**14 assuming s is positive.\nAnswer: s**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0937815 and 5?\nAnswer: 0.4689075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.18, -2668946, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l - 7. Let w be 12\/l*1*5. Suppose 2*u - w = 2. Solve u*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*i + 551 = 0, 2 = -4*i + 3*i. Is 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 -3.07? (a) 2\/11 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - l - 4*l + 1 - 1 + l + (0 + 1 + 0)*(3 - 2*l - 3) + 1 - l - 1 - l + 5 - 5 + (-4 - 11 - 8)*(9 + 27*l - 9) to the form u + v*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2236 - 37?\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and 7?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -903.935 times -1.5\nAnswer: 1355.9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m**2 + 77*m - 77*m to c*m**2 + b + t*m and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/74, -0.5, 7574?\nAnswer: 7574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:03 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, -1\/2, 4, -0.03?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 767127?\nAnswer: 767125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5539, -5543, -5559, -5593, -5651, -5739, -5863?\nAnswer: -6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4656624 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 2275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4\/33 (c) -2 (d) 2.2 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 97.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**7\/10080 - r**6\/2880 + r**4\/6 - 5*r. Let k(h) be the third derivative of f(h). Factor k(c).\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/21 (b) 1\/4 (c) 28 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*c*y**2 - 771*c*y - y**2 wrt y.\nAnswer: -504*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 + h**3 + 3*h**3)*(3 + 1 - 6 + (1 - 4 + 0)*(-1 - 2 + 0)) in the form v*h**3 + z*h**2 + n*h + f and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, o: 5}. What is prob of picking 2 o?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/33)\/(-2 - (-57)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107071 + -76160. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 6, 198*y - 201*y = -t + 183524. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3673 by -89.\nAnswer: -3673\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 + 3*m. Let h(d) = 15*d**3 - 5*d. Let z = -4543 + 4553. What is z*i(v) + 6*h(v)?\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*k + 57, 5*r = 4*k - 27 + 100. Suppose 28 = -4*c + 4. Let l = r + c. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872494 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9383 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100.9 + 101. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23)\/(-4) - 15\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4*d - 5*d)*(2 - 3 + 4)*(-20*d - 4*d - 2*d).\nAnswer: 78*d**2 - 156*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 249137200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplplil. What is prob of sequence lipl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 3*j + 2*j. Let x(c) = -c + 6*c - 4*c. Determine l(x(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*q - c, -5*q + 93 = 31*c - 29*c. Solve 0 = -3*a + p + 18, 3*a - 2*p - 2 = q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Suppose w*v + g = v, 2*g = -3*v. Let j(c) = c**2 + c + 5. Let u be j(v). Solve -u*o + 2 = 4*a, 0 = -5*a - 7*o + 2*o + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*n - 10512 = 0. List the prime factors of 6\/4 + n\/(-16).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 - 358.7.\nAnswer: -463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 1188 = -29*p. What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 38 - 74 - 115*c as n*c + x and give n.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = -17. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25 - 23)\/((-4)\/38). Let t(b) = -b**2 - 18*b + 43. Let i be t(j). Put 1, i, 5, -5 in ascending order.\nAnswer: -5, 1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 10*n - 286 = -286. Which is bigger: 28\/391 or n?\nAnswer: 28\/391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzp when three letters picked without replacement from pppyyzzzppzpyzpzzz.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -7*z**6\/24 + 37*z**5\/12 + 20*z**4\/3 - 10*z**3 - 45*z**2. Solve q(d) = 0.\nAnswer: -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*q + 20 = 0, 2025*l - 20*q = 2029*l + 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-6)\/(-3) + -16. Let r = -7 - u. Solve 0 = -0*f + f + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(10)\/sqrt(2) + 0.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - i + 5 = 2, -2*i - 29 = -3*q. Let c(b) = 4*b**2 - 13. Is c(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**2 + 4017*t - 16131. Give l(4).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/((-3)\/30). Calculate the remainder when 15 is divided by 15\/90 + (-47)\/t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c + 26*c - 5*c = 520 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3)*(8 - 6). Let r be 6\/10*10\/v. Let h be r*((-16)\/(-6) - 0). Round h to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-177)\/58764)\/((-2)\/16)*1.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3198 and 0.7046.\nAnswer: -0.22533108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3 - 4 - 3*r + r**2 + 4*r**2 - 5*r**2 - r**2 + (4*r - r - 5*r)*(-2*r + 2*r + r) + 203*r + r**2 - 388*r + 400*r.\nAnswer: -2*r**2 + 212*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 681632531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*l = 0, 2*h + 6*l - 3 = -3. Let p(k) = -k**2 - 5*k + 1. Let u be p(-6). Put u, h, -7 in descending order.\nAnswer: h, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/3 - 16120*h\/3 + 32481800\/3 = 0. What is h?\nAnswer: 4030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561922635 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 0.4 (b) -1 (c) 0.1 (d) -0.055 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/546 and 127\/12636.\nAnswer: 88452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 71, 227, 457, 767, 1163, 1651?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i. Let f(o) = -368*o - 29. Calculate r(f(m)).\nAnswer: 1840*m + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-2 + 19 + -30) - (-1 - 41)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 3952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-9)\/(-15)))\/(35\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1041 + 4640. Is 59 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13*m**2 + 147*m - 49. Let o be q(11). Which is the smallest value? (a) o (b) 281 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 8\/3*t**3 - 17\/15*t**5 - t**2 + 0*t - 3\/20*t**6 + 97 - 7\/3*t**4. Solve d(r) = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 22)*2108\/(-544)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-11)) + (-132)\/12. Let q(l) be the second derivative of 19*l - 20*l**2 + 14\/3*l**3 + s. Find the first derivative of q(c) wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*p + 16*p + 322 = 0, -p + 21 = 3*l + 64 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.154 + -37.954. Which is bigger: -152\/45 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021120021 - 1012?\nAnswer: 1021112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 6832\/2239?\nAnswer: 6832\/2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 0.05945.\nAnswer: -0.14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6044177 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 5, y: 4, e: 4, i: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, 1\/3, -13, -1\/5575 in increasing order.\nAnswer: -13, -1, -1\/5575, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -6, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89608.69um in millimeters?\nAnswer: 89.60869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3334*x + 1671*x + 1668*x, 1 = 3*x - 4*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/643, 2\/129, 1\/2, -2\/3 in ascending order.\nAnswer: -2\/3, 5\/643, 2\/129, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/17, 3\/7, 1, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 41*r - 33. Let u be 3 + (0\/r)\/(3\/(-1)). Factor -2\/7*p**5 + 0 + 0*p**4 + 0*p**2 + 0*p + 2\/7*p**u.\nAnswer: -2*p**3*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -53, -1, 3, -4, -99 in ascending order.\nAnswer: -99, -53, -4, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184 - -175. Let z = k - -8.3. Which is the third smallest value? (a) 3\/4 (b) z (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1358196 by 5.\nAnswer: 1358196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x = 4*r + 447, 4*x - 2*r + 0*r - 32 = 2*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -789507.761 to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 4. Suppose -105 = -c*d + 195. Let v(j) = j**2 + 3. Let a be v(3). What is the greatest common factor of a and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6848087.\nAnswer: 6848087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 268528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000249986955 rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 - -12) + 2 + 0 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)\/(5*4). Let c(t) be the second derivative of 0 + t**2 + t + 1\/6*t**4 + i*t**5 + 0*t**3. Give c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*g - 6 = 0, 0*g + g + 2 = 0. Which is the closest to -1\/2? (a) p (b) 4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3720 + -97.186525.\nAnswer: -3817.186525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475904 a multiple of 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2620623 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2664713 and 1893?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 11*r**2 + 7*r - 4. Let h be t(5). Let q = 120 + h. Let d = 0.06 - 1.06. Which is the closest to d? (a) -2 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26500*p - 26825*p - 89497*p.\nAnswer: -89822*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.006 times 0.1167?\nAnswer: -0.2341002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-336)\/120 + 2\/(-20)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1811, 0.1, -0.01085?\nAnswer: -1811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -24*q**2. Let i(t) = 5*t**2. Let w(n) = 3*d(n) + 14*i(n). Let k = -17 - -25. Let u(z) = -k*z + 9*z - 3*z. Give u(w(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101200 (base 3) to base 6.\nAnswer: -30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -21*a. Let v(r) = 7*r + 3. Calculate v(l(d)).\nAnswer: -147*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 1980 - 1950 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*z = -2*g + 7, -10*z - 23 = -g - 23*z + 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2221110202 (base 3) to base 11\nAnswer: 3a589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22 - 68\/11. Let q(x) be the first derivative of -2*x**2 - 5*x + 1. Is q(u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -65*a**3 + 160*a**2 - 45*a + 5. Let b(z) = 14*z + 80*z**2 + 2 - 3*z - 18*z - 15*z - 33*z**3. Let m(g) = -5*b(g) + 2*n(g). Factor m(c).\nAnswer: 5*c*(c - 2)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -1\/4 (c) -2\/7 (d) 27\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 257377113 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 19 + 32 + 4*p**2 - 8*p + 36 + 8*p in the form i*p**2 + d + r*p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3325 (base 7) to base 14\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*l - 5, f - 2*l = l - 12. Let u(r) = 5*r**2 - 4*r. Suppose 0 = 2*d - d - 4. Let g(n) = -4*n**2 + 3*n. Determine d*g(t) + f*u(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*y + 13, -4280*u = -4276*u - 16. Calculate the lowest common multiple of -6*(0 - 3\/2) and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -39\/19, 3, -150, 15, 5?\nAnswer: -39\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6759, -27014, -60771, -108030?\n\"Answer: -6751*h**2 - 2*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5079*l**3 + l**2 + 113*l + 5378310?\nAnswer: 15237*l**2 + 2*l + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -2, 21, 0, 7 in descending order.\nAnswer: 21, 7, 0, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:20 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24183.8471 rounded to the nearest 10?\nAnswer: -24180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235546, 471045, 706506, 941929, 1177314?\nAnswer: 1412661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -90\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3017506921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14207 - -13652. What is the third smallest value in 0.1, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183)\/2562)\/((-2)\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 8. Suppose -3*j = o*j. Let d = -14.4 + 15.7. Which is the biggest value? (a) d (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 0*w - 4*w. Let g(y) = 114*y - 115*y - 2 + 2. Determine b(g(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d = 74 - 6. What is the common denominator of ((-86)\/430)\/(4\/170*d) and 131\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17351.\nAnswer: 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let w = 0.7236 + 0.2764. Which is the third biggest value? (a) -1\/4 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < 205\/31886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/77 - -1\/77. Let d be (3*(-1 - -3))\/1. Suppose -10*t = -d*t. Which is the closest to t? (a) -5 (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 20*s**2 - 31*s + 82. Calculate f(3).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(2*f**2 + 3*f**2 - 3*f**2) + 0*f + 0*f + 2*f**2 + 0*f**2 - f**2 + 3*f**2 - 6*f**2 + 2*f**2 + f**2 + 0*f + 0*f + 2*f**2)*(f**3 - 2*f + 2*f).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 167, 251, 335, 419?\n\"Answer: 84*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*f + x, -3*x = 4*f + f - 31. Suppose -9*i = -3*i - 48. Solve 2*h = s + h - 3, 2*s + f*h + i = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86840983\/532 - -163235. Find the common denominator of 29\/2128 and l.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znrzswsrk. Give prob of picking 1 z, 1 w, and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000140249962 to 7 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5*j + 8*c**5 + c**4 + 9*c*j + 26*j wrt c?\nAnswer: 40*c**3*j + 160*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27973614577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2156\/245)\/((-12)\/30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*t + 2. Let h(d) = -d**3 - 4*d**2 + 6*d + 7. Let r be h(t). What is z in 0*z**3 + 5*z - z**3 - 2*z**r - 6*z = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -36. Let x = f + 40\/3. Find p, given that -1\/3*p - 1\/3 + x*p**2 + 1\/3*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {o: 1, r: 3, x: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201011220 + -100102?\nAnswer: 200211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((782\/51)\/(-23)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39166 divided by 28347?\nAnswer: -39166\/28347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*(6 + -5). Let f = 13 + n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 2296?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + s = 3*q, 5*q = -3*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 3. Let d be j(-3). Suppose -w = 51 - d. Calculate the common denominator of -41\/8 and ((-4)\/(-8))\/(w\/(-304)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let x(k) = k + 25. Suppose -6*f = -7*f - 13. Let y be x(f). Let g(c) = y*c + 14*c - 28*c. Determine v(g(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(9))\/sqrt(3) + (sqrt(3) - 6*sqrt(108)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 39*i - 44*i - 33080020, 4*l = 2*i - 66159992. What is l rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(55\/(-33)). Put l, -5\/3, 2\/3 in ascending order.\nAnswer: -5\/3, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(24)\/sqrt(4)) - (sqrt(17) + (sqrt(17) - sqrt(102)\/sqrt(6)) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -150, -124, -98, -72?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297156275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-9 - -17)) + (13 + -9 - 13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3382416, -3382417, -3382418, -3382419?\n\"Answer: -x - 3382415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, -2\/9, -0.1 in increasing order.\nAnswer: -1, -2\/9, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*h = -5*m + 182*h + 399631, m - 79937 = -2*h. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 9.24 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/3 - 124*r**4\/3 - 1712*r**3\/3 - 224*r**2 + 9120*r - 12096 = 0.\nAnswer: -42, -18, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/210 - c**5\/40 - 5*c**4\/12 - 21*c**2. Let a(y) be the second derivative of h(y). Differentiate a(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/(-36)*3\/2. Let i(p) = -13*p**2 + 9*p - 9. Let t(a) = -4 - a**2 + 4*a - 5*a**2 + 0*a. What is l*i(o) + 9*t(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 35 = -7*x. What is the second smallest value in x, 1\/5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 16*b**2 - 190 - 5*b + 175.\nAnswer: -16*b**2 + b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.3713243 to zero decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:12 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8611?\nAnswer: 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 396081 - 396081.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667 divided by 44.\nAnswer: 667\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 5?\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160\/4871 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-7)*z)*z)*z\/(z*z**(-1\/3)*z*z*z))\/(z**(-6)*z*z\/(z**(2\/19)*z*z)) assuming z is positive.\nAnswer: z**(-203\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*p + 8*l - 7*l, 10*p - l + 41 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 192*w**3 - 32*w - 24*w**2 - 196*w**3 + 24*w**2.\nAnswer: -4*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*b**2*j + 75*b**2 - 1022*b*j**3 - 1378*b wrt j?\nAnswer: -14*b**2 - 3066*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 23. Let c = 0.04 + -2.04. Let a = f + c. What is the nearest to 1 in 3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-480)\/220)\/(6\/16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 1 s when three letters picked without replacement from dsqqdkddiqkksskq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*14\/50*(-1505 - -1515).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*d - 10937 - 13198 = 291 for d.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 163. Suppose 7*z - 5*z - q = 0. Suppose -22*s = -33*s + 99. What is the greatest common factor of z and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 7*u**6\/30 + u**4\/12 + 19*u**3\/3 - 438*u. What is the second derivative of p(k) wrt k?\nAnswer: 84*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t - 13. Let c be f(9). Put 3\/5, c, -5 in increasing order.\nAnswer: -5, c, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*k + 216 = 0, 5*k + 960 = 5*j - 0*k. Calculate the highest common divisor of j and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51393.37 nanoseconds to microseconds.\nAnswer: 51.39337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/4 - 9391*x\/4 - 33481035\/2 = 0.\nAnswer: -4739, 14130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1231 + -1079. What is the highest common factor of 114 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 4*g - 2. Let c be u(5). Let i(b) = -b**3 - 7*b**2 + 2. Let j be i(c). Suppose 0 = -y + 2 + j. Solve y*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -0.04, 5, 3\/5, -217 in decreasing order.\nAnswer: 5, 3\/5, -0.04, -28, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let i(l) = 2*l + 1. Let m be (-12)\/(-2) - 10 - -2. Let p be (m\/6)\/(-11 + (-204)\/(-18)). Determine p*i(r) - 4*u(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:54 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 665653481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130969*i**3 - 409996*i**2 wrt i.\nAnswer: -785814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.348133 and -0.08?\nAnswer: 0.428133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1697942130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10854*k*p*x - 2*k*p - 582*p*x - 3*p + x with respect to k.\nAnswer: 10854*p*x - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 - -10. Let r = 4 + -3.6. What is the third biggest value in r, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12786454*m**5 + 2*m**2 - 3788*m - 308?\nAnswer: -767187240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818999.\nAnswer: 818999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12 - 8*k - 7 + 5 - 9. Let n(m) = -7*m**3 - 2*m**2 - m + 1. Let s be n(-1). Let a(b) = -15*b + 2. Calculate s*o(t) - 4*a(t).\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 856109\/30 + -28533. What is the common denominator of -149\/18 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30382 - -1336.116\nAnswer: 31718.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031 - 510 + 3*u**2 - 504 - u**2.\nAnswer: 2*u**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*((-4)\/8)\/(9\/(-42)))\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 <= -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1726576 by 206.\nAnswer: 863288\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78132*g**2 - 2*g**4 - 6*g - 78131*g**2 - g**3 - 2*g**3 to the form l*g**4 + x*g + n*g**3 + f*g**2 + z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*d, -3 = 5*n - 3*d + 3. Solve 2*c = 6 - n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3794, -7590, -11386, -15182?\n\"Answer: -3796*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2139 - -21407\/10. Let v be (-21)\/(410\/(-40) + (-1)\/(-4)). Let t = l - v. Sort -6, t, -5 in descending order.\nAnswer: t, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 2*w**2 - 776 - 21 - 8*w**2 - 5*w**2 to z + c*w + l*w**2 and give z.\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4266*t**4 + 4286*t**4 - 197*t**3 - t - 3 - 8554*t**4)*(0 + 5 - 4).\nAnswer: -2*t**4 - 197*t**3 - t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477975 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2719 - d5?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*v**2\/3 + 136*v\/3 + 8\/3.\nAnswer: 2*(17*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose -x - r*x = -15. Let h = 23 - 13. Solve 6 = m - 3*b - 1, h = 2*m - x*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(8\/1356)*21\/(147\/(-7))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18956010 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g - y, -3*g = -7*y + 9*y - 12. Let w be (117\/g)\/((-30)\/(-20)). Solve 9 = -3*b, 0 = -4*o + 2*o - 3*b - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3629*z - 35 + 901*z + 36 as a*z + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 1. Let k be (-12)\/(-15) + 1\/5 + 1. Let o(u) = 56*u + 0*u**2 + 0*u**2 - 54*u - k - u**2. Give 2*g(h) - o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 + -0.439999. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 3*u)*(0*u**4 + 0*u**4 - 3*u**4) - 2*u**3 + 2*u**5 + 2*u**3.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5168 and 36.\nAnswer: 46512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 193. Suppose -2*q = 2*q - 4*p, 10 = -5*p. Calculate the remainder when (-224)\/(-10) + q\/5 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i, 5*i - 1 = -3*r - 5. Let t(f) = f**2 - 2*f - 4. Let v be t(-2). Solve 5*g + 21 = -4*z, -r*g + v*z - 1 - 13 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**3 + 57*h**2 + 61*h + 3. Let l(j) = 1 + 259*j**2 + 0 + 17*j**3 + 124*j + 6 - 146*j**2. Let w(y) = -3*l(y) + 7*q(y). Suppose w(b) = 0. What is b?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*-4 + sqrt(104) - -1*sqrt(104)*-3)\/((sqrt(32)*2)\/sqrt(4)*6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2709 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 668240*z\/3 + 8018016.\nAnswer: 2*(z - 334084)*(z - 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 5\nAnswer: 199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55532017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 253*p**2 - p + 1. Let z be h(-3). Let q = 3974 - z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.317 - -8.117. Which is the nearest to 0.7? (a) 1 (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159762 divided by -3\nAnswer: -53254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 137696 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5 + 6*y**4 + 9*y**3 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5 + 36*x**4 + 4*x**3 - 72*x**2 - 2*x + 36 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (68567\/6)\/(-20 + 1452\/72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22620 is divided by 133.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 151. Let f(o) = -o**2 + 7*o + 31. Let v be f(6). Sort i, 5, v.\nAnswer: i, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.210011 + -0.21. What is d rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from xxrtkxxidriiiktxikxx.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10205556334 and -0.48.\nAnswer: -10205556334.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826055 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(3 - 7\/2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -2*t + 0 + 0*t**4 + 1\/2*t**2 - 1\/10*t**5 + 0*t**3. Find the first derivative of b(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -322*b + 691. What is the remainder when 1121 is divided by f(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -9, -138, -345, -624, -969, -1374?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 2*h + 2. Let i = -9 + 5. Let f be z(i). Let o(v) = -v - 3. What is o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 34*f + 67. What is h(3)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442 + -3?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6711*f + 110. What is the hundreds digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, -2259, 2.\nAnswer: -2259, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 8*k**2 - 5*k. Let t be w(-6). Let u = -48 - -57. Calculate the lowest common multiple of 12\/t + (-60)\/(-14) and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -7.93. Let d = m - -7.97. Let v = -0.97 + d. What is the second smallest value in 1\/2, v, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 915*p**3 - 33*p**2 + 52*p wrt p?\nAnswer: 5490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((225\/(-10))\/9)\/(-25)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848561164?\nAnswer: 2, 3, 61, 607, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2451, -2455, -2459, -2463, -2467, -2471?\n\"Answer: -4*r - 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 + 7*h**2 + h - 5. Let d be (-4)\/(-24) - 11\/(-6). Let u(f) = f**3 - f**2 - f + 1. Let j(v) = d*c(v) + 10*u(v). Suppose j(l) = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5832117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25442 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 31*h**7\/210 - 4*h**5\/3 + 40*h**2 + 2*h. What is the third derivative of p(u) wrt u?\nAnswer: 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 1 + 2*a**3 - a**3 + 4*a**2 + 0*a**3. Calculate j(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24016475.7ns in weeks?\nAnswer: 0.00000003970978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*t**3 - 133*t**3 + 43*t**3.\nAnswer: -486*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 465 - -0.4777\nAnswer: 465.4777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 1435*f + 1440*f - 100, 4*j + f = 39 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120179402*a**4*o + 2*a**3*n*o - 9*a**2*n + 24*a**2 - 439*a*n*o - 2*a*n + 2*a - 2*o + 1 wrt a.\nAnswer: -2884305648*a*o + 12*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*g + 6*g. Is (-2 - (-1)\/g) + 222\/2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + z)*(4*z - 9*z + 16*z) + (-5 + z + 5)*(18*z - 220*z + 32*z) + 0*z**2 + 0*z**2 + z**2.\nAnswer: -147*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 11 - 1)*(3 + 1 - 6)*(-2*i**2 + 0*i**2 + 4*i**2 + (-3*i - 2*i + 3*i)*(1 - 1 + 2*i)) to u + b*i**2 + q*i and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 14. Suppose 0 = 4*p - 4, -4*m - m = n*p + 16499996. Round m to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:33 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*v - 2\/15*v**3 - 4\/5*v**2 + 8\/5 = 0. Calculate v.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 387, 1504, 3373, 6006, 9415, 13612, 18609, 24418?\n\"Answer: 2*s**3 + 364*s**2 + 11*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (-171)\/9)\/((-65)\/52).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50671603.8 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = -148268 + 39994. What are the prime factors of l?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(16) - -1*sqrt(156)\/sqrt(4))\/(2*sqrt(27) + sqrt(24)\/sqrt(32)).\nAnswer: 3*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from vvvvzvvvvvvzv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244808\/11 or -22256?\nAnswer: -244808\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 + 4*a**2 - a - 1. Let q be i(-4). Let u = q + -219. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 711 + -710.5. Let i(v) = v**3 - 7*v**2 + 6*v - 1. Let p be i(6). Which is the nearest to 2\/11? (a) p (b) -0.1 (c) r (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -551*z**3 - 114*z**2 + 114*z. Let d(o) = -24*o**3 - 5*o**2 + 5*o. What is 114*d(w) - 5*v(w)?\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35656835, -142627338, -320911509, -570509348, -891420855?\n\"Answer: -35656834*i**2 - i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 51\/4*w**4 + 0*w - 3*w**2 + 0*w**3 - 19. Find the second derivative of h(y) wrt y.\nAnswer: 306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 19*k + 110. Let w(t) = -3*t**2 - 5. Let o(l) = 7*l**2 + l + 11. What is k*w(g) - 2*o(g)?\nAnswer: g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/(v*v*v\/(v*(v\/(v**1*v))\/v)))\/((v*(v*v**(1\/5))\/v)\/v**2) assuming v is positive.\nAnswer: v**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*m + 20636 - 7787 = -9075 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -740630*h. Let u(k) = k**2. What is u(x(o))?\nAnswer: 548532796900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 - 2*c**3 - 2500*c + 1250*c + 1250*c.\nAnswer: -2*c**3 - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, -8 in decreasing order.\nAnswer: 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 6, 18, 30, 42?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 735?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58942674 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-17)\/(103 + -1)*-94386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8904, 9166, 9604, 10218, 11008, 11974, 13116?\nAnswer: 14434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/11 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 244*c**2 + 7*c - 5. Let m(j) = 3*j**2 + j - 1. What is -i(z) + 3*m(z)?\nAnswer: -235*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5\/(50\/55) - (-6)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3 + 27. Calculate the common denominator of (-34)\/44*(-13 - -7) and 4\/(-12) + 65\/d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i + i)*(9*i + i - 9*i) + (0*i + 3*i - i)*(-3 + 2*i + 3).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 4. Let c(p) = -p**3 - 18*p**2 - 18*p + 4. Let g be c(-17). Suppose 22*r - g*r = -2. Put o, r, -4 in ascending order.\nAnswer: -4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.023 (b) -1\/34 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 16*p**2 + 3*p - 237. Let x be q(-17). Solve -13*h + 14 = x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4050, -2\/7, 1, 0.16, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 400\/96*(-12)\/(-10). Let s be (6\/10)\/((-2)\/(-10)). Solve -m*i + s = -6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -4759883 in increasing order.\nAnswer: -4759883, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o. Let n(m) = -752*m. Give z(n(a)).\nAnswer: -6016*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 3*v**3 - 1 - v - 2*v**3 + 2*v**3 in the form k*v + s + b*v**2 + i*v**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2. Let c be t(-2). Let x be (-4)\/3*(-42)\/c. Suppose r - u = 10 + x, -4*r - 4*u + 72 = 0. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4153 - 4152.79. Which is the third biggest value? (a) 0.03 (b) -2\/19 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.2 (b) 5\/16 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 take away -1750.094570539?\nAnswer: 1804.094570539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loy when three letters picked without replacement from {l: 1, o: 2, n: 1, q: 5, y: 2, r: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3824)\/(-80))\/((-2)\/5)*-86 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 155*v - 160*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 9*y + 18. What is the remainder when 71 - -1*0\/(-1) is divided by c(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 11*a + 1\/3*a**3 - 22 - 5*a**2. Determine f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-24))\/(4\/56))\/(9\/(-54))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10804772843 take away -326?\nAnswer: -10804772517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93378.\nAnswer: 2, 3, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 27334)*((-3)\/(-6) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 594 - 592.233. What is h rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let v = 1 + h. Factor -2*x + 0*x**3 + 1 - x**3 + 3*x - x**v.\nAnswer: -(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 216\/22 - (-2)\/11. Find the common denominator of (j\/84)\/((-1)\/9) and (-1977)\/(-360) + (18\/(-30))\/(90\/(-20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 2*o + 198*o**2 - 22*o**4 - 858*o**2 + 199*o**2 + 253*o**2 + 205*o**2 - 2 in the form p + s*o + j*o**3 + w*o**2 + y*o**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 406170184 to the power of 1\/2, to the nearest integer?\nAnswer: 20154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -104, -0.5, -15, -2 in decreasing order.\nAnswer: -0.5, -2, -4, -7, -15, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(121)*-1*-6)\/(-2*sqrt(44)\/sqrt(4) + sqrt(66)\/(-2*sqrt(6))).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1791 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -620*g**4 - 1423*g.\nAnswer: -7440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 - (8 - 16) - 12000\/(-14). Let g = v + -856. Sort g, -4, 52\/7.\nAnswer: -4, g, 52\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.599579 nanograms to kilograms.\nAnswer: 0.000000000005599579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - y + 4*y. Let w(o) = -3*o**2 - 3*o + 3. Let u(q) = 3*q**2 + 4*q - 4. Let k(h) = 3*u(h) + 4*w(h). Determine k(v(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-50)\/(-20)*2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1441 (base 14) to base 11.\nAnswer: 276a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/898554 and 18\/1647349?\nAnswer: 9884094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 6*n - 6*n + 7*n + (0 - 2 - 3)*(-4 + 4 - 13*n**2).\nAnswer: 63*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 5*b - 6. Suppose 2*i - 4*o = -4, 4*i = -o - 20 + 3. Let a be k(i). Let m be 8 - (a + (1 - -3)). Solve 6*y - 2*h - m = 3*y, -9 = 3*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-194)\/291*2\/4. Which is the fourth biggest value? (a) v (b) 1 (c) -0.5 (d) -79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 45 - 21. Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 87\/11 (c) -6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6551*l + 80967 + 213806 = -166327 + 107346 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8307 is divided by 1374?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/782 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 28898.898 hours?\nAnswer: 172.01725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from qqyuuuyyinucuyunu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s**2 + 82*s - 4. What is o(7)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2023 + -2009. Solve -h + 13 = -g*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-31))**(40\/7)*p**33*p*p\/p**(12\/5) assuming p is positive.\nAnswer: p**(-5059\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15292*u**2 + 3889*u**2 + 3807*u**2 + 3797*u**2 + 3798*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -24 (b) -1.3 (c) 52\/11 (d) 1\/4 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21520687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 - 7180*h**2 - 2554565*h + 7728450 = 0. Calculate h.\nAnswer: -769, -670, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-92)*(-7)\/30*(-28)\/49?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.45 - 0.05. Let k = h + 3.5. What is the closest to 16 in -3, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 398*x - 3*x**2 - 2*x**2 - 1 - 398*x to the form f + r*x**2 + c*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/12*(-20)\/(-3). Solve r = 2*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (81 - 47) + 67\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*1)\/(6*2*sqrt(2)) + (6*sqrt(160)\/sqrt(4))\/((sqrt(80)\/sqrt(2))\/sqrt(5)).\nAnswer: 27*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*t + 404*t - 2*t**2 - 1139*t to r + w*t + l*t**2 and give w.\nAnswer: -1553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/8 + 3*w\/8 + 308493\/4 = 0 for w.\nAnswer: -453, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35370781, 0, 2 in descending order.\nAnswer: 35370781, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*j + 35 - 34 = 0, 0 = -2*r + 2*j - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - u - 27, -5*b + b + 4*u = -28. Let f = 29 - b. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 4, z: 2}. What is prob of sequence pzcp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*q - 31*q + k - 2, -4*q + 2*k = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3818253*q**2 + q - 5555776 wrt q?\nAnswer: 7636506*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1915 times 4.97\nAnswer: 9517.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = -203. Let u = l - 208. Solve -1 = -2*t - u*r, t - 6*t + r + 11 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.07*-4.5\nAnswer: -9.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-477)\/63)\/(6 - 1758\/294)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 56 = 2*z. Let f(b) = 2*b**3 - 19*b**2 + 12*b - 20. Let g be f(9). Calculate the highest common factor of g and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432159 and 1365.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 19*w + 31 = -20*w, -i = -2*w - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 5, 0.18, 4 in increasing order.\nAnswer: 0.18, 8\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1258385, 1258363, 1258329, 1258277, 1258201, 1258095, 1257953, 1257769?\n\"Answer: -c**3 - 15*c + 1258401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2931.853 nanograms?\nAnswer: 0.000000000002931853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-162 - 11*b**2 + 162)*((3 - 1 + 0)*(0 - 3 + 4) + 0 - 1 + 0) to the form u + t*b + k*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*28\/(-72)*(-18)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 8*x**2 + 8*x + 10. Let m be r(-7). Suppose 5*q + 8 = m*d - 4, -5*d - 2*q = 11. Let i be (-2 - 0) + 16\/7. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18126 by -1.\nAnswer: 18126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49908*v**3*z + 4*v**3 - 2*v**2*z + 3*v**2 - 973*v*z - 27*v - 2*z - 39 wrt v.\nAnswer: -299448*v*z + 24*v - 4*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22*1 + 18*(-36)\/(-1386). Is 20\/159 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 3. Let g be s(2). Let y(k) = k**2 - 5*k. Let d be y(6). Let x = -53111 + 53120. Solve -g*b = -x - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 + 10 - 45296*n - 6.\nAnswer: -45296*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h - 1015829. Let l(j) = 13*j**2. What is y(l(o))?\nAnswer: -169*o**4 - 13*o**2 - 1015829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201 (base 4) to base 5.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a + 12*a + 19*a)*(0 + 3 - 2) - 2*a + 0*a + 0*a + (0 - 2 + 0)*(-2*a + 3*a + 0*a) - 3*a + 1 - 1 + (-1 + 0 + 0)*(0*a - 2*a + 0*a).\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 5. Let z be 6\/9 + 14\/(-3). Let b be (2\/z)\/((-2)\/12). Let j(h) = 3*h + 9. Let o(s) = b*j(s) + 5*l(s). Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10547912 and 0.16.\nAnswer: 10547912.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 15. Suppose v + v - q = 0. Let u(f) be the third derivative of -f**6\/120 + f**5\/20 + f**4\/24 - f**3\/6 - 2*f**2. What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1003, 1101, 3205, 5309?\nAnswer: 7413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 - 16 = 0. Suppose p*o = 5 + 3. Suppose -69 = v - o*v. Calculate the remainder when 112 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 + 2*x**4 + 4*x**4)*(5 + 0 - 3)*(-12 - 4 - 4).\nAnswer: -40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 102 = o + 788, 12*j - 14*j - 50 = 4*o for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183028 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2874642 rounded to 4 decimal places?\nAnswer: 0.2875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3402527 + -2031786. Let i = -969741 + z. What is i rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.89 - 0.89. Let o = k + -77. Let j = o - 27. Put 0.4, j, 5\/11 in decreasing order.\nAnswer: 5\/11, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 195, -27, 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/5 + 37941*l\/5 - 1598814\/5 = 0.\nAnswer: -12689, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11265, -5094, 5197, 19614, 38163, 60850, 87681?\n\"Answer: x**3 + 2054*x**2 + 2*x - 13322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**11\/x))**(-10\/11) assuming x is positive.\nAnswer: x**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 33*l - 32*l + 4)*(3 + 5 - 4) to the form g*l + b and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2 + 7 + 11 - 4*h + 5*h. Let z be i(10). Calculate the greatest common factor of z and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109739.\nAnswer: 7, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from qqxwqmqm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35700\/(-8400))\/(2\/40).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -348, -514, -838, -1398, -2272?\n\"Answer: -13*g**3 - g**2 - 72*g - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043478 rounded to five dps?\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*v = 45, 4*v = 2*g - 46 + 4. Solve z = 4*t - g - 13, 2 = 2*z + 2*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.213 - -21630736.1?\nAnswer: 21630913.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549291.\nAnswer: 71, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) -3 (b) 41 (c) -3\/2 (d) 8 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 4*f + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-594)\/(-14) + (-4)\/(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 97 = -23. Put -0.2, 5\/2, j in decreasing order.\nAnswer: j, 5\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10361922 by 7.\nAnswer: 10361922\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -1.668626.\nAnswer: 16.68626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxyysxxsxsbf. What is prob of picking 1 b and 1 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 2*y**2 - 3*y - 6. Let q be x(-3). Suppose 888 - q = 12*n. Suppose -5*j = -349 - n. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*z - 115*z - 13568 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6*z + 4912 = 0. Suppose -3*b = -2*q - z, -3*b + 206 = -2*b - 2*q. Is 13\/(26\/b) + 3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(340)\/(sqrt(50)\/sqrt(5) + sqrt(10)))\/(sqrt(98)*-4))**2.\nAnswer: -12527\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.25 - -1.9. Let b = 4 + v. What is b rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126.5 and -40.\nAnswer: 86.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020010100 - 10122?\nAnswer: -22020020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*a + 99. Suppose -5*d = -3*d - 60. Let y = a - d. What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*m = -4, 2*m - 7 + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118609, -237232, -355855, -474478?\n\"Answer: -118623*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 321*p + 5 = 316*p, 7 = -3*v - 2*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63674*y**3 - 103758*y**2?\nAnswer: -382044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2490, -2488, -2486, -2484, -2482?\n\"Answer: 2*y - 2492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 141*s**2 - 5*s - 2. What is the hundreds digit of h(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 -262241 - 9703 = -7554*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2384394 or 0.1?\nAnswer: 2384394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901070 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7287543 and 459.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 18 + 63 - 40.\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -873 + 875. Let m(y) be the second derivative of 2*y + 1\/18*y**4 + 0*y**c + 0*y**3 - 2\/15*y**6 + 1\/18*y**7 + 0 + 1\/20*y**5. Factor m(a).\nAnswer: a**2*(a - 1)**2*(7*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85462 <= 85620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 12*f. Suppose 9 = -r + 2*l, 5*r - 2*l = -3*l - 23. Let t(j) be the first derivative of -j**2\/2 + 66. Determine r*t(w) - i(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92181.\nAnswer: 3, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.7 - -67.7. Let n = c + -49.4. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqaummqtmqaamaauaa. What is prob of sequence amqq?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/2067 and -97\/106?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 3*u**2 - 3*u**2 + 3*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-64)\/(-4))\/1 + (-6 - -3). Put 0, i, -5, -2 in increasing order.\nAnswer: -5, -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 82, 286, 674, 1306?\n\"Answer: 10*k**3 + 2*k**2 + 4*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2238*r - 4024*r - 3982*r + 44*r. Let j be l(1). What is j rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2349 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + 3)**2 - sqrt(2)) + sqrt(2) - sqrt(24)\/sqrt(192) - (sqrt(8)\/sqrt(4) + -3 + sqrt(10)\/sqrt(5)*3).\nAnswer: 79*sqrt(2)\/4 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 + (-1 - -1) + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2. Let d(i) = 3*i**2. Let r = 5 + -2. Suppose 3 = r*u + 3*y, 0 = -u + 2*u + 2*y - 4. Let z(n) = u*j(n) + 3*d(n). Let x(w) = -w. Give x(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*w**3 - 81*w**3 - 3*w**5 + 67*w**3 + (3*w**2 + 2*w**3 - 3*w**2)*(w**2 + 0*w**2 - 2*w**2).\nAnswer: -5*w**5 + 34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 462 = -9*i + 8*i. Solve i*u = 16*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + h - 5. Suppose 2*f + w = 6*w + 10, f = 5*w + 5. Let t be k(f). What is the highest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 33584*v - 18 + 33584*v)*(2*v + 0*v + 0*v + (v + 4*v - 4*v)*(2 + 2 - 5) + 0 + v + 0 - 2*v + 3*v - 4*v).\nAnswer: -5*v**3 + 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-16 + -8 - 28)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 2 (c) -5449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 154 and -8?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 + 266 + 182 - 55.\nAnswer: 45*v**3 + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -45. What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -490 (c) 2 (d) 0.5 (e) -3 (f) 154\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -850 by -25.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - z + 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 4*q)*(-q + 6*q + 14*q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/((-85)\/51))\/(2\/16). Suppose 0 = 17*p - s*p. Which is the closest to p? (a) 13 (b) 0.2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + 11*s + 5353. Does 53 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.64 - 0.06. Let t = -0.3 + w. Which is the closest to -1? (a) -0.4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 65?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {m: 2, j: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73882013 is divided by 148?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/22763 not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 56*q - 7. Let a(f) = 3*f + 4. Calculate a(o) + l(o).\nAnswer: 59*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g\/(g\/(g**(-1\/9)*g)))*g*g)\/g)\/g)\/g*g*g*g**(1\/5))\/(((g*g**2*g*g)\/g*g)\/g)**(-12\/13) assuming g is positive.\nAnswer: g**(3512\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 8 (c) 2 (d) 1\/3 (e) -2 (f) -1\/207 (g) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -14*w - 7*w. Suppose -d - 5 = 0, w = -0*q + 3*q - 2*d - 91. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 20, -5*m + 0*q + 3*q + 65 = 0. Suppose 11*d = m + 6. Suppose -b = -t - 189, 0 = -d*b + 5*t + 14 + 376. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12298555 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - u = 2, 5*k = -u. Let v be (-8)\/4 - (k\/(-1) - 1). Let x(p) = -3 + 12 + p + 1. Give x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -s + 2*q, s = -0*s - 4*q + 293. Is s a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**2 + 75*k - 16. Let x(l) = 5*l**2 + 41*l - 12. Calculate -7*x(n) + 4*z(n).\nAnswer: n**2 + 13*n + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -2. Suppose -21 = -3*r + 3. Suppose -g + r = 3*g. Calculate the greatest common factor of v and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3422405 divided by -5\nAnswer: -684481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*2*sqrt(228))\/(sqrt(96)\/((sqrt(8) - sqrt(288)) + sqrt(8)) - sqrt(12) - sqrt(12)).\nAnswer: 1 + 32*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7.2. Let f = 4 - l. Suppose 2*w + 0*w = -10. Put f, -1, w in descending order.\nAnswer: f, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 - 1) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/3 - 3*j**2 - 43*j + 1. Let h(g) = -7. Let m(y) = -y + 22. Let o(z) = -11*h(z) - 4*m(z). Calculate 4*o(u) - 7*w(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333443169.\nAnswer: 3, 179, 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*g - 1093 = 14*g + 12 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from susrluvusuruuusrl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/11 - 8\/11*y**2 - 14\/11*y = 0.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/7, -1, 23938, -1\/5?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8590355, -8590336, -8590317, -8590298, -8590279, -8590260?\nAnswer: -8590241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Let g = z + -1. Solve -g*s - 4 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 19\/4, 99.1?\nAnswer: 99.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvvzzzvvz. What is prob of picking 4 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1532aa (base 11) to base 12.\nAnswer: -b6103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214048.089 microseconds to days.\nAnswer: 0.0000024774084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-440))\/(((-19)\/(2128\/24))\/(12\/42)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5711880.\nAnswer: 2, 3, 5, 47599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -4.11 (d) 1167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.6705 to the nearest integer.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*o + 62833 = -3062*o - 63923 + 16261 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:55 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((((sqrt(5) + 1)**2 + sqrt(5))*-6 - sqrt(5) - sqrt(5)) + -4 - (sqrt(500) + -1 + sqrt(500) + 2)).\nAnswer: -40*sqrt(5) - 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -172, -221, -288, -379, -500, -657, -856?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-200)\/(-6) + 5\/(-15). Let r = 36 - i. Suppose -r*y - 12 + 3 = 0. Which is smaller: -11\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2431950*p - 2431954*p + 24 = 0, 4*p = -u + 18 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 - 160 + 3*j + 11*j - 3*j + 2*j in the form z + i*j and give z.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let w(g) = -9*g - 5. Let c(x) = 4*x + 2. Let v(b) = -14*c(b) - 6*w(b). Give -v(f) - z(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3708004ug in tonnes?\nAnswer: 0.0000000000003708004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.2. Let n = p - 0.12. Let f = n + -0.04. What is f rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 9*z**3 - 26*z**3 + 32*z**3 + 4*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*r = -9, -78*r = -3*m - 79*r + 9. Solve -s + m*s = -2*o - 4, 0 = -2*o + 5*s - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:19 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 11, a: 5, i: 1, s: 2}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1 + sqrt(63)*2)*-1.\nAnswer: -16*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 34*z**2 + 12*z**2 + 3*z**2 - 5*z**2.\nAnswer: 44*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 1204*j**2 - 12503*j - 739660.\nAnswer: -(j - 1193)*(j - 31)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 2\/7*u**7 + 7\/3*u**4 + 0*u**3 + u + 0*u**6 + 0*u**5 - 13*u**2 + 0. Find the second derivative of c(w) wrt w.\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 50*k**2 - 559*k - 30. Let q be f(17). Solve -13*u - q*o = -9*u + 8, -4*u = 5*o + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 44*u**2 - u + 25. Let n be g(12). Let r = -38009\/6 + n. Which is greater: 15 or r?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 337*d + 0*d**3 - d**3 + 36 + 349*d.\nAnswer: 3*d**3 + 12*d + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4795 or -1031099\/215?\nAnswer: -1031099\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, s: 1}. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*q + 462*q = 2718 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -58, -104, -160, -226?\n\"Answer: -5*k**2 - 21*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Solve s = v*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 511, 1009, 1507?\n\"Answer: 498*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 533*u**3 + 401 wrt u.\nAnswer: 1599*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 5) in base 2?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 greater than -215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 5*t**2 + 692 + 687 - 1370. Let u(c) = -c**2 + c - 1. Determine -6*u(n) - y(n).\nAnswer: n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9942 or 9945?\nAnswer: 9942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = 5*z, 5*z = -6*b + 2*b - 20. Let p be (-2)\/2*-10 - z. Solve -a + 3*q = a + p, 2*q - 4 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**3 + 131*u**2 + 1650*u?\nAnswer: -18*u + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:40 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)\/((-10)\/10). Suppose a = t - 0*t - 5. Suppose t*i - 3*d + 4*d - 38 = 0, -4*i + 31 = d. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1897*r - 1892*r - 4*d = -48, -5*r + 6*d = 42 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2094353231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -76. Suppose 0 = -2*u - 0 + w. What is the remainder when 18 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/10 - 0)\/(34\/85). Let t(r) = -195*r + 178. Let f(p) = -65*p + 60. Let y(z) = a*t(z) - 17*f(z). Differentiate y(k) wrt k.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1007 - -6105. List the prime factors of b.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26293 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 greater than or equal to -72531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 1660, 4106, 7512, 11788?\nAnswer: 16844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1582, 2974, 3958, 4336, 3910, 2482, -146?\nAnswer: -4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 10*f. Let g(y) = -y**2 - y + 8. Let r be g(f). Solve 0 = -5*m + m - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1 + 6*t + 12*t - 22*t + 1 - 3. Let p be (-2 + -2)\/(0 - -1). Calculate m(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284143301 is divided by 571.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 1. Suppose -5*n + 100 = -n. Let i = 31 - n. Let h(d) = 30 - 24 - 3*d + d + i*d. What is -12*g(l) + 2*h(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-351 + 351 + 20*t)*(3*t**2 + 0*t**2 - 2*t**2)*(t - 3*t + 3*t) + 5*t**3 + 2*t**4 - 5*t**3.\nAnswer: 22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 2}. What is prob of picking 1 o and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k**2. Let b(h) = 3834*h. Let g(c) = 292*c. Let d(z) = 2*b(z) - 27*g(z). Calculate i(d(x)).\nAnswer: 699840*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(98)*-1)**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18 and 137\/30 - 15\/(-45)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -885 - 395. Calculate the greatest common factor of 40 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 1, 454, -4, 11 in ascending order.\nAnswer: -5, -4, 1, 2, 5, 11, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5269 (c) 1\/7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 76\/(-12))\/(1\/3). Let p = 15 + o. Solve -p = 5*a - 3*h, 4*a = -3*h + 4*h - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:57 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 + -4 - (28 - 30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*r + 5*w, 2*r + 3 = -4*w - 7. Let h(d) = 7*d. Let m be h(r). What is the tens digit of (-10)\/(-35) - (-1128)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + q - 2. Calculate the remainder when 47 is divided by a(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(320\/6)*8*(-25)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57560629 + -22?\nAnswer: 57560607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 6:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8*b + 0 + 28*b to w*b + a and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 8*u - 13*x = -195, -4*x + 0*x = u - 57 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -38, -66, -128, -236?\n\"Answer: -2*q**3 + q**2 + 5*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4460?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 594265371 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2288)\/(-18) - (-3270)\/(-2943) and 12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4206, 16135, 36014, 63843, 99622?\nAnswer: 143351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by -2573.\nAnswer: -133\/2573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = y + c, -y + 8 = -5*c. Are -10 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223367 or -41.9?\nAnswer: -41.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -49*k - 46. Let o be x(-7). Suppose -b = 5*i - 9*i + 1188, -o = -i + 4*b. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*g = -12 - 8, 4*q - 3*g + 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 5*g. Let s be x(2). Suppose 0 = q - s*q. Which is the second smallest value? (a) -1 (b) q (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n + 1. Let s(o) = -2*o**2 - 14*o - 158. Let p(h) = 4*d(h) - s(h). Let q(g) be the first derivative of p(g). Calculate q(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 2*t**2 + 7*t + 6. Suppose -15*s - 6804 = 3*s. Let c = s + 384. Let y(h) = -2*h**3 + 4*h**2 + 15*h + 13. Calculate c*y(x) - 13*u(x).\nAnswer: x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Suppose 45 = j - 2*v, v + 45 = j - b*v. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 8\/3865 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8885646 to three decimal places.\nAnswer: 1.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 214a64 (base 16) in base 15?\nAnswer: 2d168c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15744 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 26*l + 40. Determine n(-16).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*b + 11*b**3 - 8*b - 3*b**3 - 8*b wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-8)*(-6 - (-5 + 1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-4 - sqrt(132))*-5 - (sqrt(132)*-2 + sqrt(132))*-6)\/(-5*(sqrt(108) + (sqrt(108) - sqrt(108)*2*-3))).\nAnswer: -19*sqrt(11)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*y + 2*o - 10, 5*o = -y + 10. Let n = -45 - -47. What is the derivative of n + 0 + 1 + y + 4*x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1548708449 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.004.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*4)\/sqrt(7)*-5 + -1.\nAnswer: -20*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let h(o) = 3*o + 5. Let i(u) = -3*u - 6. Let b(x) = 4*h(x) + 3*i(x). Give -2*b(g) - 4*r(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -768 - 278*v**2 - 85*v**2 + 1358*v - 165*v**2 + 84*v**3 + v**4 - 5*v**4 - 142*v.\nAnswer: -4*(v - 12)*(v - 4)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25046, 100096, 225180, 400298, 625450, 900636?\nAnswer: 1225856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*s**4 - 25*c*s**3 - 16*c + 19*s + 536 wrt s?\nAnswer: 4*c*s**3 - 75*c*s**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/6 + -48 + 44. Factor k*f**3 - 2\/3*f + 2*f**2 + 0.\nAnswer: 2*f*(f + 1)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/89))**(-43) assuming a is positive.\nAnswer: a**(86\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5373300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 22*z - 55. Calculate l(-26).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a. Suppose -7*f + 5*f = 3*r + 142, a = 3*r - f + 127. Let p be ((-2)\/r)\/((-2)\/(-8)). Is p at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let b(z) be the first derivative of 21*z**2 - 68. Calculate b(k(s)).\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/2 + n**3\/2 + 25*n**2 + 24*n = 0.\nAnswer: -6, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/22 - (-6066270)\/(-220)*-2?\nAnswer: 2, 17, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 2*sqrt(1152))**2.\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148307840 by -463462.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62420525.\nAnswer: 5, 59, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 2. Let k(l) = -1. Let y(b) = -20*b - 17. Let s(i) = -4*k(i) + y(i). Let c(m) = -10*m - 6. Let j(w) = -7*c(w) + 4*s(w). Give -2*j(o) + 11*q(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 5, -5, 248, 3, 0.\nAnswer: -5, -3, 0, 3, 5, 6, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 15. Suppose -3*l - 257 = -g*d, 2*l - 78 = -2*d - 3*l. What is the remainder when d is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184439922162 minus 373?\nAnswer: -184439922535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 - -221. Solve -2 = 4*v - 5*n, 0 = 6*n - n + q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*y - 11600*y**2 + 149 - 5*y + 13*y + 10375*y**2 with respect to y.\nAnswer: -2450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - (-6)\/15. Suppose -4*m - 16 = -b. Let r = m + 16. What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529.05267us to hours.\nAnswer: 0.000000146959075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 11. Let q be n(11). Let p(t) be the third derivative of 1\/3*t**3 - 1\/60*t**5 + 0 + 9*t**2 + q*t - 1\/4*t**4. Determine p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16848310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1971, -4482, -7535, -11130, -15267, -19946, -25167?\nAnswer: -30930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:27 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 17*d**2 + 10*d - 4. Calculate h(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2499757, 2499758, 2499759?\nAnswer: 2499760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2352)\/(-132))\/49*66\/116.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 2\/11 (c) -3 (d) 951 (e) 2 (f) 2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - 2652 = 90*s + 4523 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/7)\/(-2))\/((-17840)\/(-18732))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12\/((-22)\/(-6)*208\/572) - 7 and 3407.\nAnswer: 6814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17070 divided by -6?\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, 1, 3, 1\/5, -2\/827?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.72 - -16. Let j = 0.02 + s. Let d = 103.9 - 104. Which is the second smallest value? (a) 1\/7 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-8)\/38) + -2. Suppose 2*s - 20 = -3*s. Suppose 0 = 3*c - 9, -r = -s*r - 2*c + 12. Solve 2*n = m - r, -m = 3*n + m + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*r - 28, 0 = -4*r - l + 11 + 17. Suppose -4*j + r*j - 6 = 0. What is the first derivative of j*t - 2*t - 2 - t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25.11 (b) -3 (c) -5652 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0065*4.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - (-27)\/12) + (-2299)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.57969661 to four dps.\nAnswer: 2.5797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/3 - 3968*l**4\/3 - 91840*l**3 - 4030696*l**2\/3 + 19862780*l\/3 - 5184200 = 0.\nAnswer: -35, 1, 3, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:57 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 592351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Solve -5*o = -f*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, -776, 4.\nAnswer: -776, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*n + 5*h, 4*n + 0*h + 118 = -2*h. Let f = -34 - n. Sort f, 0, -0.5 in increasing order.\nAnswer: f, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-5*1\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -0.1?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 2. Let o(v) = 4*v - 15. Determine -14*k(g) - 2*o(g).\nAnswer: 34*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 - 996508*w**2 - 27898972*w + 28895484 = 0.\nAnswer: -249099, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -119 (b) -4 (c) 0.4 (d) 8 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/24 + 13*v**3\/6 + 688*v**2. Let x(w) = 2*w**2. Give p(x(u)).\nAnswer: 2*u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -1)*(-6)\/4. Let n be (2\/8)\/(m\/(-60)). Suppose n*f - 16 = 49. Solve -3*t = -7*x + 2*x - f, -x + t = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*i - 1172, 6*i - i = 10. Calculate the remainder when (2\/4 + -1)*g is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516574422?\nAnswer: 2, 3, 7, 13, 67, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1055, 6\/1543, 4\/7?\nAnswer: 6\/1543","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k + 7. Is -47\/6 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 1. Let v(h) = -4457*h**2 + 4456*h**2 - h**3 - 4*h**3 - 6*h**3. Calculate v(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1480b7a - -9?\nAnswer: -1480b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 2034488.\nAnswer: 6103464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2473 - 246?\nAnswer: -2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.049 + 0.065. Let d = a + 0.084. Are d and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -11, 0, 2326?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j + 15 + 8*j + 17. Let p(f) be the second derivative of f**3\/6 + 740*f. What is p(s(x))?\nAnswer: 2*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9 + l - 2 - 1. Let n be b(-7). Let s be n + 2 + -1 + 1. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 73 = -31. Suppose 0 = -a - y + 34. Let u = -18 + 21. Calculate the highest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 9, 4*x = 8*x - 2*i - 174. Calculate the common denominator of (-7)\/(-2)*15\/x and 91\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1157 = -3*u - 1159, 45*n - 94 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 8.028?\nAnswer: 2.4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 6\/7 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7760 - 7744. Let f = -3 + 1. What is the remainder when 79 - (0 - -3) - f is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/10 (c) -4 (d) 1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - q = -1, 0 = l - 3*q + 6 + 7. Solve 0*g - 5*g = h - 4, l*h = -4*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2. Let w(i) = 3*i - 14*i + 29*i + 0*i + 5*i. Calculate w(t(f)).\nAnswer: 207*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -796 - -1164. Suppose 5*u - 3*x - 143 = o, -92 = -u + 4*x. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 377888439 - 16*w - 377888439 - 65*w.\nAnswer: -84*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13724 - -6811. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 8. Let v(s) = -s + 1. Let w(g) = 3*j(g) - 15*v(g). Let z(i) = -1. Let o(k) = -w(k) - 3*z(k). Differentiate o(f) with respect to f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-1356)\/(-392) - 3\/(-6). Which is the third biggest value? (a) -0.02 (b) r (c) 3\/4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2029247208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 11 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 217208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h**2 - 182*h + 354. Calculate d(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 298887.2 - 298886.85999915. Let t = 37 - 37.34. Let c = g + t. What is c rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/4*8\/(-20)*3 and 97\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 + 12*a - 24. Let o(i) = i**2 + 2*i - 4. Let k(x) = -c(x) + 6*o(x). Let g(b) = -526*b. Calculate k(g(j)).\nAnswer: -276676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 141*o**2 + 225*o**2 - 267*o**2 as p*o + t*o**2 + q and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*b**3*o**2 - 3*b**3 - 412*b*o**2 wrt b?\nAnswer: 762*b*o**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 30. Suppose 2*c + c + 12 = s. Is 7 a factor of -1*(c + (-3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j - 3. Let p(t) = -t + 1. Let x be p(3). Let a(n) be the first derivative of -4 - 2*n**2 + 1 - 2*n**2 - n + 2*n**2. What is x*m(u) + 7*a(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6152 and 594437.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2960 and 1330?\nAnswer: 393680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2046)\/(-54)*(-2414)\/(-37417).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or 6820848?\nAnswer: 6820848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17*q**2. Let x(d) be the first derivative of -8\/3*d**3 - 85 + 0*d + 0*d**2. What is x(c(w))?\nAnswer: -2312*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497346 is divided by 219?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 0, 0 = -4*h + 2*y. Suppose h = 4*t + 3*k + 11, 4*t = -t - 4*k - 15. Solve -c + t = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/172 and 19\/43?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 896206264 divided by -2\nAnswer: -448103132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -10) + (-23 - -36) - 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 839961667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14958 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1436 > -1433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 + h. Let j be 2\/3*-3 + -2. Let p be (0*1\/j)\/(2\/(-1)). Let t be q(p). Solve 5*o - 8 = 3*n - t*n, 0 = 2*n - o + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 1140 + 4*d**3 + 1140.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/58 and 73\/22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.34823 * 0.32\nAnswer: -0.7514336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168\/235 + 4\/47. Let n = -1 + 0.5. Which is the biggest value? (a) k (b) -3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1155 + 1283. Let i = 242 - 83. Let a = i - m. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5 = 0, 7*w - 10*w = 4*j + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*k - 6, -2*r + 6*k = k + 6. Suppose 2*j - 40 = -r*x, -3*j = -3 - 6. Suppose x*i - 242 = 6*i. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 11:52 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4881490?\nAnswer: 2, 5, 488149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -257, -675, -1371, -2345, -3597?\n\"Answer: -139*j**2 - j - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 29*z**2 + 96*z + 50. Give s(32).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 119359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c - 2*c - 1452 = -51 + 887 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/33933032 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/2 - 11*o**3 - 137*o**2\/2 - 130*o = 0. Calculate o.\nAnswer: -13, -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 10. Suppose 4 = 3*x + g. Suppose -4*q + x = -3*h, 4*q + 4*h - 31 = h. What is the lowest common multiple of 14 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 9*y + 69, v + 58 = 60 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 52*r - 19. Let t(n) = -11*n + 4. Let p(o) = 19*t(o) + 4*y(o). Let c(f) = 174*f**2. Give p(c(u)).\nAnswer: -174*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:09 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 407 + 287 = r, 3*r - 7*l + 380 = 0. What is the third biggest value in -9, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x + 339. Let p be c(-18). Let b(u) = u. Let i(m) = 0*m - m - 2*m - 3*m. Give p*b(t) - i(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((54\/180)\/(4\/(-10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 160 = -78. Is (d - -66) + (7 - 1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9825993 years to decades.\nAnswer: 0.09825993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*q + 2*q. Suppose -q*k + 4*a + 70 = 0, 3*k - 3*a - 2*a - 29 = 0. What is the smallest common multiple of 10 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2195*x = 1109*x + 1183*x + 873 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40552 - 1?\nAnswer: 40551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 23, 17, 17, 29, 59?\n\"Answer: s**3 - 6*s**2 + 5*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*d**2 - 1\/2*d**3 - 2*d - 6.\nAnswer: -(d - 6)*(d - 2)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 2*u + 0 + 2*u**2 + 1\/6*u**3. What is the units digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 + 5*c**3\/3 + 13*c**2 - 103*c. Let r be b(-6). Solve r = -k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*t = 4*b - 64, 5*b = -t + 77. Suppose b*h = 13*h - 168000. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 22. Let a(k) = -k**2 + 12*k - 7. What is the units digit of a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:36 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -18, 0 = -2*c - 5*o + 25754 - 4774. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497896 (base 14) in base 9?\nAnswer: 4656870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 3*n - 26*c + 8*c, 4*n - 18 = 2*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - -6?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -127231, -7 in descending order.\nAnswer: 4, -7, -127231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/23509, -3\/2, -1, -2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -330 - -334. Solve -c = i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4057664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*m**2 + 49*b**3*m*s - 3*b**2*m**2*s - 6*b**2*m - b**2*s + 3*m**2*s wrt b.\nAnswer: 18*m**2 + 294*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1230 - 50723 + 12317 - 17499 - 810*j - 3*j**2 = 0?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - (1 - 0) - 1) + (-307 - -306).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4.2, 1, 0.2, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 2*g**2 - 2*g + 1. Let d be h(1). Suppose 15 = -3*v, 0*v = -2*t + 2*v + 18. Suppose f + 12 = t*f. Sort -3, f, d in descending order.\nAnswer: f, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 3*t + t - 21 - 9*t**2 - 2*t. Let w(c) = -2*c**3 + 15*c**2 + 68*c - 516. Let h be w(7). Calculate m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.98 + -17. Let g = -0.02 - o. Let y = -0.8 + g. What is the closest to 1\/3 in -3\/7, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1100) + -1) + sqrt(1100) - ((sqrt(66)*-2 + sqrt(66))*-6)\/sqrt(6))*1.\nAnswer: -4 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, b: 4, d: 2, q: 2}. What is prob of picking 2 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (163\/163)\/(2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 4. Find the second derivative of -t*d + 4*d + 0*d + 7*d**4 wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0 - 4. Suppose -12 + 4 = 2*o, 5*o - 128 = -i*x. Let c = 43 - x. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2019, 4024, 6021, 8004, 9967, 11904, 13809?\nAnswer: 15676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/(105\/(-10))*-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -3. Suppose x*l + 5*q = 0, 5*l = l - q. Solve l = -0*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879.1095 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/40 + s**5\/10 + 37*s**2\/2 + 14*s. Let x(k) be the first derivative of r(k). What is the third derivative of x(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 6*x)*(0*x - x + 2*x)*(332 - 82 + 6 + 100).\nAnswer: 1424*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 1\/4, 5\/2, -2\/15, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/9*6\/2. Suppose 4*d = 5 + 27. Let y = x + d. Put -3, 2, y in decreasing order.\nAnswer: 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(12\/(-9))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 1 + (28 - (-27 + 71) - -22)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*m + 664 + 969 = 419 - 478 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 = 1. What is the units digit of (-884)\/(-12) - (-4)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9223400 to the nearest 100000.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*l - 10, 3*t - 5*l + l - 25 = 0. Suppose -6 = -2*b, 4*v - b - 66 = -t*b. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 2*w - 2*w + (-7 + 4 + 4)*(-2 + w + 2)*(-14 + 13 - 39) to h*w + b and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009682037 to five dps.\nAnswer: 0.00968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 63\/4. Let b = 0.962 - -0.038. Let p be (-1 - -7) + (-3)\/1. What is the smallest value in l, p, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r - 11. Let f(j) = 34*j - 22. Let o(z) = 2*f(z) - 5*i(z). Let c(p) = 17*p - 10. Let t(u) = 6*c(u) + 7*o(u). Differentiate t(h) wrt h.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - -140) + (1 - 23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u + 4. Let w be o(0). Let j = -914.3 + 914. Which is the nearest to w? (a) -2\/9 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10676 a factor of 982531212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13719, -27435, -41151, -54867, -68583?\n\"Answer: -13716*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69 - 24 + 13 + 22 + 85*c**2 wrt c.\nAnswer: 170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447201357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137575\/16 - 8593. Calculate the common denominator of j and 29\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 104110 = 4*q + 104138, -4*m + 3*q = 49 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 21. Calculate y(17).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k, k = -5*r + 6977 - 1697. Calculate the remainder when r is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 875 + -873. Suppose 647 = x*a - 1321. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 + -77. Suppose 0 = 5*h - 3*b - o, 0 = 2*h + b + 3*b - 38. Let s = h - 10. Calculate the smallest common multiple of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*h**2 - 49388*h - 463008.\nAnswer: -4*(h + 1113)*(11*h + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 4*b)*(2*b - 3 + 1 + 3*b)*(-4 + 35 - 14).\nAnswer: 85*b**2 - 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 58*h - 2262. Let u be t(39). Let a = 10 + -6. Let z be 42\/8 + (-1)\/a. Solve z*i + 1 = -3*v - v, u = 3*i + v + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 36*t - 449. What is the hundreds digit of h(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 133*q - 72 = 124*q. What is the remainder when q is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 10301548?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2079, -2084, -2093, -2106, -2123, -2144?\n\"Answer: -2*t**2 + t - 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 11:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 2*q - 3. Let i = -20 + 18. Let b be i + 0\/5 - -4. Let v be ((-2 - -2) + (-5 - -3))*b. What is m(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 2819.\nAnswer: -112.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -98 - 10. Let y(s) = -16*s**2 - 5*s - 9. Let o be y(p). Is o equal to -285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*4*((sqrt(1700) + -1)*2 - (sqrt(1700) + -1 + sqrt(1700) + sqrt(1700) + 5)))*-5*-6*-2)**2.\nAnswer: 5760000*sqrt(17) + 99360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4 - 0)*-4. Solve 14 = -4*z - 3*q, 5*z - 5*q - 4 = o*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620711 to the power of 1\/2, to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*d = 6, 2*d = 4*h + 6*d + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5495075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 840 and 207240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4081, 4037, 3995, 3955?\n\"Answer: r**2 - 47*r + 4127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u - 12292 + 11993 = 0. Let w(x) = 3*x - 37. Determine w(u).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6418 - -6623. What is the smallest common multiple of m and 2?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45015840 a multiple of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 10*r**2 + r - 2. What is o(9)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 + 16*n + 42. Let q be m(0). Solve -q + 105 = -7*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(-2 + 3 + 1) - 10 + 15 - 7)*(-2 - i + 2).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1 + 12 + 738\/(-72)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-224)*-88)\/(((-4)\/2)\/(-4)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4021636?\nAnswer: 2, 1005409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (0 - (16 + -11 - -9) - -7).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {t: 1, e: 4, c: 5, p: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 0. Let z(f) = f**2 + 190*f + 5768. Let a be z(-152). Is a equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19032 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 7 + 11)*(0 + 0 - 4)*(-3 + 3 + 2*k) in the form d + w*k and give w.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3.4 (c) -1 (d) -90.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, 1, -1901 in descending order.\nAnswer: 22, 5, 1, -1901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -807 smaller than -808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bbde + -3?\nAnswer: -2bbe2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30577 - 30585. What is the nearest to 2\/3 in -0.3, -4, w, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-62 + 30)) + (36 - (-4 + 0))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -86.999772. What is v rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)*o*o**3\/o)\/(o**(-10)\/(o\/(o\/(o**(1\/8)*o)))) assuming o is positive.\nAnswer: o**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yszscul. Give prob of picking 1 s, 1 z, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2*(-7)\/(-336)*6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.8 + -18.2. Which is the nearest to t? (a) -2 (b) -5\/3 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 5. Let d(m) be the third derivative of m**4\/6 + m**3\/3 - 27*m**2. Let r = -6 - -11. Calculate r*d(h) - 2*c(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -14.3. Let f = x - -1. Let l be ((-2)\/(-8))\/(2\/(-12)). What is the second smallest value in l, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 15488.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(192)*1).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4)*p)\/(p*p*(p\/p**(-4))\/p*p) assuming p is positive.\nAnswer: p**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oerjrhd. Give prob of picking 1 d, 1 e, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 7. Let h be t(-5). Suppose -7 = -2*f + 21. Suppose 7 = -h*d - d - 3*a, 2*d = 2*a + f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132832 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50.57256mm?\nAnswer: 50572.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 greater than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 0 + -101 + 61\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 866*d + 191 + 1734*d + 194 - 387 + 4033*d**2 - 460*d wrt d.\nAnswer: 8066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 620\/63 - 72\/7. Suppose 0*p + p + 4*s + 6 = 0, 0 = 5*p + s - 8. What is the second biggest value in -1, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24192, 48496, 72914, 97446, 122092, 146852?\nAnswer: 171726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -49.02. Let k = -84 + 87. Let w be -1 - ((-32)\/7 - (-1 - k)). Which is the smallest value? (a) w (b) j (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3137790*q**4 + 2*q**2 - 4522*q - 29.\nAnswer: -75306960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132738269*r**3 + 165684955*r wrt r.\nAnswer: -796429614*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 178.3558035s?\nAnswer: 0.00029490046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*c - r - 25, 3*c + 5 = -r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-6) - 2) + 105\/6. Let w = -93 + 136. What is the remainder when w is divided by h + (0 + -6 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g = -35, 0 = q - g - 4*g - 19. Let u = 1172 + -1169. Let h(n) = n**3 + n**2 - n - 2. Let l be h(0). Put q, u, l in ascending order.\nAnswer: l, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -9, -1, 4, -200 in descending order.\nAnswer: 4, 1, 0, -1, -9, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764, 743, 722, 701, 680?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0)*(-19)\/(-2). Suppose -4 - f = -5*y + 2*b, -b = -3*y + 14. Suppose 3*u = -y*w + 16, -3*w + 3 = 3*u - 9. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -14. Is (2\/(-2))\/(v\/116) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18274035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.13286 and 0.5148635?\nAnswer: 6.6179965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 - 87 - 73)*(-4 + 0 + 3)*(-2 + 0 + 3)*(0*s + 0*s - 2*s).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2b6?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/3)\/1 - (-34)\/102. Let i(o) = b*o**2 + 0*o + 2*o**2 - 4*o**2 + 2*o. Calculate i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 4) + -8 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12387.09 + 51574388.\nAnswer: 51562000.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 0*g)*(-2*g**2 + g**2 + 3*g**2)*(2588*g - 921*g - 881*g).\nAnswer: 1572*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - v - 1. Let t be i(-1). Solve -2*c**t + 0*c - 3*c + 0*c**2 + c = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 73. Solve -2*b + 3 + w = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {z: 3, k: 1, v: 2, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 61*r**2 - 23*r - 60. Let k(f) = -15*f**2 + 5*f + 13. Determine -9*k(n) - 2*q(n).\nAnswer: 13*n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 154546 divided by -5\nAnswer: -154546\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(108))\/(sqrt(486) + sqrt(486) + (-1*sqrt(486) + sqrt(486) - sqrt(486))) - (-2*sqrt(72))\/(-1*sqrt(256) - sqrt(256)))**2 + 3 + 0.\nAnswer: 121\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 80 - 2528*s + 5 + 2533*s.\nAnswer: -3*s**2 + 5*s + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4386 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 671575 divided by -5?\nAnswer: -134315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from gmlmmllmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 3\/5*a + 9 + 3\/5*a**2 + 1\/5*a**3. Factor m(h).\nAnswer: 3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 2*m - 1. Let x be d(1). Let a = 0 + x. Suppose -1 = -3*l - 7. Is a at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 1\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 4*y**2 - 2*y**2 + 0*y - y**2 + 0*y + (0 - y + 0)*(-2*y + 0*y + 3*y))*(0 - 9 - 13)*(2*y**2 + y**2 - 2*y**2).\nAnswer: 110*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2aa012 + a8?\nAnswer: 2aa0ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 + -181. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d - 160d?\nAnswer: -166c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68947091 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = f, 0 = 2*m + 2*m - 4*f - 4. Suppose m = 14*n - 10*n - 32. What is the highest common factor of 48 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**10\/1008 - o**6\/72 - o**3 + 3. Let k(h) be the third derivative of f(h). Find the third derivative of k(v) wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.779 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320494323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-7)*(-11)\/((-66)\/7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1572 and 11916546.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.88 + -0.12. Let z = -5 - -26. Let x = 20.5 - z. Sort x, r, 2\/21.\nAnswer: r, x, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -3, -0.4, -1145, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1331) - -2*(sqrt(1331) + 0 + sqrt(1331))) + -5 + -1 + sqrt(1331)*2*-3 + 1 + -3)**2.\nAnswer: 264*sqrt(11) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 11, f: 2, k: 1, d: 1, j: 1}. Give prob of sequence fs.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.04, 6\/92821, 0 in decreasing order.\nAnswer: 0.04, 6\/92821, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:32 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14384020\/11 - 27473233989\/21010. Let a = m - 9\/382. Calculate the common denominator of a and 33\/8 + 6\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/64 and -85\/16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15010 + 1135121?\nAnswer: 1154131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396, 1397, 1398, 1399?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 12*y**3 - y**2 - 12*y.\nAnswer: y*(y - 1)*(y + 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + o + 2 - o - 10*o**2 - 5*o. Let d be j(-3). Let m = 36 + d. Which is the second smallest value? (a) 1 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -169\/42? (a) 14 (b) 0 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 559 - 557. Solve 3*f = q*o + 4*f + 9, -f = o + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/84 + 7*u**3\/6 - 106*u**2\/7 - 16*u - 107. Determine v so that m(v) = 0.\nAnswer: -53, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-360)\/(-35) + (-4)\/14. Suppose -h = 3*x - x. Let q be (2\/x)\/((-5)\/((-25)\/6)). Is q greater than 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*u - 589 - 267 + 329 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1181\/1498 + 2\/749. Let g = -2\/7 - x. What is the smallest value in g, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*y + 3*i, 4 = -0*i - 4*i. Suppose -10*f + 833 = 733. Calculate the greatest common factor of f and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**2*p**3 - 17*k**2*p + 7*k*p**3 - 32*k*p + 2*k wrt k.\nAnswer: 10*p**3 - 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -153 and -153 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*z - 655 - 1025 = 151*z. Let f = 0.994 - -0.006. Which is the second smallest value? (a) f (b) 2 (c) -5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/((-6272)\/4160))\/(1*3\/(-6)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + -939898006240?\nAnswer: -939898006129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -2*sqrt(99)))*-1 + sqrt(99))\/(sqrt(144) + sqrt(9)) - ((0 + sqrt(539) - sqrt(539))*5 + (sqrt(539) - (-5 + 0 + sqrt(539))))**2.\nAnswer: -25 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 644 - 3?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2635906 to the nearest ten thousand.\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j = 55*j + 14511. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244137600 divided by 18816\nAnswer: -12975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 22*a + 33*a - 54*a - 3*b, -4*b = 4*a - 124 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 27 - 51 = 0. What is the closest to -2 in 5, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -2\/9, -0.4, -0.1, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 16. Let i(d) = 0*d + 199 + 224 - 425 + 7*d. Determine i(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3. Let g(b) = 3*b + 27. Let s(m) = -18*f(m) - 2*g(m). Let t(d) = -2*d. What is t(s(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 499, 537, 579, 619, 651?\n\"Answer: -m**3 + 8*m**2 + 21*m + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5349?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2\/71 (c) 3\/2 (d) 0.0088 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*t + 552, r = -2*r + 3. Let x(h) = -57 + t - 51 + h**2 + 9*h. What is x(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - -5) - -1 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -3*i + 26, -4*i - 32354*x = -16178*x - 16175*x + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n - 3*n)*(-3 + 69 + 65)*(5 + 3 - 14).\nAnswer: 1572*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (-2 + sqrt(432) + 2 + sqrt(432) - sqrt(432)) - (sqrt(432) - ((-5*sqrt(432)*-2 - sqrt(432)) + sqrt(432))))*5 + 4)**2*4.\nAnswer: 21120*sqrt(3) + 5227264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (17 + -33 - -39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18)\/((6\/(-1))\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36720 = 471*p - 39*p for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 458*o + 459*o = 918*o - 4, 10*v + 6*o + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8 - 14. What is the third derivative of 19*t - 19*t - y*t**2 + 7*t**4 wrt t?\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-27)*3*-1*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 591, 927, 1265, 1605, 1947?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -0.5, 0, 837 in descending order.\nAnswer: 837, 0, -0.5, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845846 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -47 + y**2 + y + 48 - 2*y**2. Let z(q) = q**3 - 4*q**2 + 2*q - 22. Let l(g) = 2*b(g) + z(g). Is 4 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321544050 - 14?\nAnswer: -321544104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -3852617.\nAnswer: -308209.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43046 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34e - b5?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/6)\/(14\/((-336)\/4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 18 = 54*z. Let k be 0\/((z - 0)*1). Let p(g) = -g**3 + 3*g**2 - 2*g. Let r be p(2). Solve k = -r*t + t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2191, -37, 0.\nAnswer: -37, -4, 0, 5, 2191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raadtqrtqtxqqtq. What is prob of sequence ttq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*g - 699*g - 460 = -90*c, 0 = 5*c + 3*g - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 125, 188?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 218 and 123?\nAnswer: 26814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -142. Which is the closest to d? (a) -25 (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1929, -1, -5, -14, 0.02, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 30 = -2*z. Suppose -3*n + 3 = -3. Let l(j) = 4 + 0 + n - j. What is l(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 8697?\nAnswer: 8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - s - 132918 + 416830 = 0, -3*m + 4*s = -851715. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*10\/55 - (-423)\/33 - 8. Sort 23, t, 2, -3, 9.\nAnswer: -3, 2, t, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 11) to base 3\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 0) + (-5)\/5. Suppose 0 = -2*z + 2*y - 6, 8*z = 5*z + j*y - 19. Suppose -z*r = r - 78. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110000101110100110 (base 2) in base 6?\nAnswer: 52212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6097.4*-1\nAnswer: 6097.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2043 and 9?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10.52 + 2084298\nAnswer: 2084287.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**4 - 77361*u + 1 + u**3 + 77361*u in the form j*u**4 + z + x*u**2 + r*u + y*u**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.037? (a) -0.1 (b) -2\/37 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35183.17 nanograms in grams?\nAnswer: 0.00003518317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23160 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - w - 110*w**2 + 24*w**2 - 85*w**2 + w.\nAnswer: -171*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1197574811*c**4 + 1566*c**2 - 68*c - 608 wrt c?\nAnswer: -28741795464*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 5, -4, -1, 816.\nAnswer: -4, -1, 5, 165, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-1*sqrt(320)))**2 - sqrt(204)\/(sqrt(36)\/sqrt(3)*6).\nAnswer: -sqrt(17)\/6 + 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 + w + 5. Suppose 0 = -8*i + 5*i. Let p be t(i). Suppose 0 = p*a - 53 - 32. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2313*n + 1207376. Determine k(522).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 204333003 (base 5) to base 7\nAnswer: 10161546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*t - 5*o, -4*t = 2*o + 2 + 2. Let s(m) = 3 - 3 - 3*m**2 - 2*m + t. Calculate s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*-1 - (sqrt(65) - sqrt(65)*1*2))\/((sqrt(5) - 1*sqrt(605)) + (sqrt(180) - 2*sqrt(180)) + sqrt(180)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g**2 - 3*g - 1. Let h = 153 + -151. Let f be j(h). Find d such that 3\/7*d**4 + 2\/7*d - d**3 + 0 - 3\/7*d**2 + 5\/7*d**f = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffnj when four letters picked without replacement from {j: 2, n: 3, m: 1, w: 6, f: 5}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0 - 6*d - 6*d**2 - 1 + d**3 - 2*d**3. Suppose 4*w - 4 = 0, z - 2 = -5*w + 6. Suppose 30 = -4*c + 2*r, c - 3*r = z*c - 5. Calculate m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 47 (c) -0.7 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18687.3 + 18687. Is v < -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*m - 2*c + 52, 5*c = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22\/9 + 8\/3. Let g = 383\/387 + -33\/43. Suppose 0 + z*c**2 + g*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 s when three letters picked without replacement from egeleggggws.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36230439659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(190))\/sqrt(10) - ((sqrt(19) + 2)*4 + sqrt(19)))**2.\nAnswer: 128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*l**3 + 22*l**3 - 7 - 8 + 47*l**3 + l + 23*l**3 as b + h*l**3 + o*l + y*l**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let g(x) = 50*x**2. Determine g(m(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 11723554*n\/7 - 11723556\/7.\nAnswer: 2*(n - 5861778)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 + 0. Calculate the common denominator of -133\/12 and ((-12)\/(-120))\/(2 - r\/(-109)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6817 + -5004. What is the greatest common divisor of z and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8 - 6221*a + 3.\nAnswer: -6221*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2031168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**4 - 2*g**3 + 12*g**2 - 8*g - 8. Let t = -107 + 112. Let k(c) = -2*c**4 - c**3 + 11*c**2 - 8*c - 8. Let x(f) = t*b(f) - 6*k(f). Factor x(w).\nAnswer: 2*(w - 2)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*o**4 - 225 + 435\/4*o + 393\/4*o**2 + 69\/4*o**3 = 0. What is o?\nAnswer: -15, -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:18 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 729764?\nAnswer: 1459528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10975 divided by 756.\nAnswer: 10975\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10337, 10411, 10533, 10703?\n\"Answer: 24*p**2 + 2*p + 10311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4 - 5, -p - 5*g - 11 = 0. Let i(j) = 5*j**3 - 9*j**2 - 15*j + 9. Let h(y) = -2*y**3 + 4*y**2 + 7*y - 4. Calculate p*i(z) + 9*h(z).\nAnswer: 2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 19732 and 19729 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p. Suppose -19*j = -81*j. Let z(g) be the second derivative of j + 0*g**2 + 1\/4*g**4 + 0*g**3 - 17*g. Determine z(b(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**2 + 254400*i + 4044960000 = 0?\nAnswer: -31800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*-16*(-81)\/864)\/(5\/(-6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 3*s - 1. Let w(h) be the third derivative of 2*h**2 - 1\/24*h**4 + 1\/60*h**5 + 0*h**3 + 0 - 2*h. Determine 3*g(n) + 8*w(n).\nAnswer: 2*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - j**2 + (0*j**2 + 7*j**2 - 3*j**2)*(5 + 5 - 5).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/30)\/((225\/200)\/(3\/(-14)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 39. Calculate the remainder when c(0) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 144 = -5*z. Let h be -3 - (-1)\/(18\/z)*-3. Let p = 3.01 + -0.01. Which is the second biggest value? (a) h (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 14 - 1 - 24 - -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 108 = -29*n. Let u = 13 - n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2784 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + w - 486 - w**3 + 0*w**3 + 0*w**3.\nAnswer: -w**3 + w - 704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3.93, 2\/13, 28, 5, 157?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -2\/3 (c) 1 (d) -2\/5 (e) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = -6*y + 567. What is the remainder when y is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 101781120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 1. Let x(c) be the first derivative of c**4\/4 - 4*c**3\/3 - 3*c**2\/2 - 1. Let g(b) = -3*q(b) - x(b). Give g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:13 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11543.03 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -3*x. Let d(j) = -j - 2. Let n be d(-3). Calculate the greatest common factor of x and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1428\/358457?\nAnswer: -1428\/358457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4620\/147 + -24 + 9\/(-21). Solve 10*f = -5*j + y*f - 25, 3*f + 5 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 3*f + 2. Let n be o(-3). Suppose 2 - 22 = 2*y + 4*m, -m = n*y + 11. Is 1 + (-4)\/(y\/9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 7*k**2 + 4*k. Let h(c) = -3*c**2 - 162*c - 162. Let x be h(-53). Let q(y) = 6*y**3 - 6*y**2 - 5*y. Calculate x*q(l) - 4*s(l).\nAnswer: 2*l**3 - 10*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 4*x**2 - 3*x + 6. Determine q(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7 - 19 = 0. What is the remainder when 202\/18 - (-4)\/(-18) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 0, -1\/2, -1, 1 in descending order.\nAnswer: 1, 0, -1\/2, -1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 1587*z**2 - 232317*z - 5766093 = 0.\nAnswer: -249, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqqlhhkkqlqkkk. What is prob of picking 1 q and 1 k?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 127*d**3 - 189*d**2 + 708*d - 548. Let z(m) = 18*m**3 - m**2 - m - 2. Let r(g) = 3*c(g) - 21*z(g). Determine t, given that r(t) = 0.\nAnswer: 1, 3, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -3 - (-12)\/(-2). Let v(r) = r**3 - 2*r**2 - 2*r + 1. Let m be v(3). Sort f, m, -3.\nAnswer: f, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let b(i) = 38090778*i**2. Give b(v(k)).\nAnswer: 152363112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4193902685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-81) - (-29698)\/(-9). Let h be (-663 + 3)*m\/9. Round h to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + d + 11. Let l(b) = -2*b**2 + b. Let z(a) = -l(a) + y(a). Let k(w) be the first derivative of z(w). Let r(i) = -33*i**2. Determine r(k(j)).\nAnswer: -132*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74827 + -1000?\nAnswer: 73827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, 1\/6, -55.29?\nAnswer: -55.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:59 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 + 72*r**2 + 267*r - 828.\nAnswer: 3*(r - 2)*(r + 6)*(r + 92)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - k)*(5*k - 9*k + 20*k + (-1 + 2 + 1)*(-1 + 1 + 2*k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20*(-4 + (-1 - -3)). Let r be (8\/(-6))\/(o\/60). Let h = -2 + r. Solve -5*d = -10, 4*d + h*d = -3*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*8\/(-4)*3\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -64. Suppose 5*q - 5 = 5. Solve -3*f = -q - k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81 + 65 - 13*j**4 - 56*j**4 + 4*j**4 wrt j?\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3550, 7098, 10646?\nAnswer: 14194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + 48*o. Suppose 2*s = -977 + 973. Let v(p) = -4*p**3 + 47*p. Determine s*v(t) + 3*j(t).\nAnswer: -t**3 + 50*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12cb6 (base 13) to base 15\nAnswer: a622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x + 5. Let c be o(-10). Let s(t) be the third derivative of 1\/60*t**c + 0*t + t**2 - 7\/48*t**4 + 7\/240*t**6 - 1\/6*t**3 + 0. Factor s(d).\nAnswer: (d - 1)*(d + 1)*(7*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*y - 22. Suppose 79 = -y*r + 439. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/60 - 5*c**4\/24 - 4*c**3\/9 + c**2 + c + 52. Solve b(x) = 0 for x.\nAnswer: -6, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3 - 5*l**2\/2 + 4*l. What is the derivative of t(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102153 is divided by 1029?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2220 - 2072. Sort 0.5, k, 2\/7, 5, 4 in decreasing order.\nAnswer: k, 5, 4, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 31. Let w be u(-11). Solve -9 + 1 = w*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnrjll. Give prob of picking 1 r, 1 n, and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13558 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 + 4. Let v be ((-1)\/(-3))\/(1\/(-9)). Let c be b(v). Solve 0 = -f + c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85907545 times 0.5\nAnswer: -42953772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 18*l**2 + 17*l + 20. Give t(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/(3\/120). Let l be -5*(d\/(-20))\/(-2). Suppose t + 1 - l = 0. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 266*u. Let h(o) = -3*o**2 + 177*o. Give -8*h(k) - 5*n(k).\nAnswer: -k**2 - 86*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23131421 (base 5) to base 7.\nAnswer: 1525316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29601 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 6. Let s be i(8). Suppose -5*b - 26 - s = 0. Is (-4)\/(-8) + (-4692)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**(-8\/5))\/(((t*t\/(t\/t**(-2\/65))*t)\/t)\/(t*t**0)) assuming t is positive.\nAnswer: t**(-219\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/4))\/n*n**(2\/31) assuming n is positive.\nAnswer: n**(-23\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) -0.5 (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 13*u - 10*u + 81, -5*u + 41 = s. Let g be (7\/(-3))\/7*-201. Are g and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2 + 1. What are the prime factors of i(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f**2 - 36*f - 1. Let a(j) = 17*j**2 + 43*j. Let b(o) = -4*a(o) - 5*l(o). Let n(h) = -h**2 - 9*h - 6. Give -6*b(u) - 5*n(u).\nAnswer: -7*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 7*p**2 - 9*p - 33. Give u(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1094 * 0.75\nAnswer: 820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 1, z: 2, t: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58118 in -0.2, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -1011120221?\nAnswer: -1011120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -614*h**2. Let r(n) = 4*n. Give m(r(j)).\nAnswer: -9824*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-30) - 195\/234\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*s, -2*s = 2*r + 14 + 2. Let m(c) = c**2 + 16*c + 52. What is the least common multiple of 20 and m(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2755 + 3*y**2 - 46*y**3 - 5*y**2 - 2*y - 2755 - 64*y**3 to d*y**3 + l + t*y**2 + a*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25225 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4573*o + 1515*o + 1495*o + 1565*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 52 = 6*c. Let j = 44 + c. Let t(b) = b**3 + 7*b**2 + 2*b - 6. Let p be t(-6). What is the greatest common divisor of p and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-115)\/10)\/(2\/4). Let i = -23 - m. Solve 7*y - 2*y + 10 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/10 + 36\/(-20) + 2. Let z be -2 + 7 + (-12)\/v. Solve z = 2*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3, -2*f - 4*h = -1628. Calculate the remainder when f is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1832315, -1832342, -1832383, -1832444, -1832531?\n\"Answer: -u**3 - u**2 - 17*u - 1832296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*g + 30, -46*g + 113*g + 805 = -90*g - 2*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 - k + 1. Let i(y) = 2*y**3 - y**2 - 7*y + 3. Let r(a) = i(a) - n(a). Let q = 46 + -42. List the prime factors of r(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*h**2 - 3*h**3 + 2*h**3 - 238*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1776517431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/40 + 2\/(-5). Let y be l\/8 - 1340\/(-16). Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32001055547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f**2 + 99*f - 7. Let j be n(-8). Let o(y) = 4*y**2 - 76*y + 54. List the prime factors of o(j).\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -w + 163, -o = 22*w - 23*w - 47. What is the remainder when 270 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(5)) + (sqrt(5) + sqrt(20))**2 + sqrt(5) + 5 - sqrt(35)\/(sqrt(7) + sqrt(448) + sqrt(28)).\nAnswer: 76*sqrt(5)\/11 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -7*j**6\/120 - j**5\/10 + 5*j**3\/6 + 5*j**2. Let i(a) = -20*a**3 - 17*a**2 + 14. Calculate -6*i(v) + 17*l(v).\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 (base 8) in base 3?\nAnswer: 1210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lqqllllqll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.22, -2\/3, 0.2149, 3?\nAnswer: 0.2149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.00019 - -113.25. What is m rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102370.1 micrometers in kilometers?\nAnswer: 0.0001023701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 155*y**2 + 2 - 2.\nAnswer: -155*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 101 = 27*s - 79 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234*41\/(-369) + 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 12*n + 0*n)*(-13*n**2 + 3*n**2 - 18*n**2).\nAnswer: 308*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -17*r**5 + 181*r + 45. What is the derivative of s(n) wrt n?\nAnswer: -340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26702 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + ((-232)\/(-32) - 6)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 686, 1039, 1410, 1805?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -4, -2, -116 in ascending order.\nAnswer: -116, -4, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 16. Let i be -2 - (-1 - (3 - 0)). Solve -7 - v = -i*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(2 - 1 + 1 + (-2 - 3 + 0)*(0 - 4 + 2) - 3 + 1 + 7)*(-2*y + 5*y + 0*y)*((-1 - 1 + 1)*(1 - 1 + 2*y) - 3*y + 2*y - 2*y).\nAnswer: 510*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507433 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and 11\/897082.\nAnswer: 10764984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 22*r**2 - 2*r - 28. Let i be n(-11). Which is the nearest to i? (a) 0 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 22*o + 16*o - 2*o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160981.0000101613 + -160981. Round k to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h**2 - 1833*h - 299. Determine n(108).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 120*d - 686. List the prime factors of z(48).\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/10 or -4340?\nAnswer: -4340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1005bd - 2a?\nAnswer: -100609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32761061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.09, -0.5, -0.05, 3080 in decreasing order.\nAnswer: 3080, -0.05, -0.09, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 67215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 81 + 24. Let r = -25 - s. Let k be (-54)\/3*4\/r. Solve 3*q = -q - k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -856, -853?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209355*u**5 + 62021*u**2 wrt u?\nAnswer: 12561300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 301\/4 (c) -2 (d) -2\/3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 604*m**3 + 3*m**2 + 641*m - 644. What is s(1)?\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let y be 19\/2 - 6\/4. Suppose 7*a - y*a = -2. Let m(j) = -3*j**a - 7*j**2 + 9*j**2. What is m(t(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 7*f**2 - 5*f - 8. Let t be z(6). Let y be (26\/(-4) - t)\/((-15)\/260). What is the derivative of 60*q**2 - 12 + 29 - y*q**2 wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:06 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2091235990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2*m**3 - 1. Let f(u) be the third derivative of u**5\/30 - 8*u**2. Give f(z(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 108 = -4*z. Let i be z\/3 - (-8)\/12. Calculate the highest common factor of 143 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 + g**4\/3 - 4*g**3\/3 + 2*g**2 - 513*g. Let l(s) = -s**3 - 7*s**2 + 3*s + 15. Let i be l(-7). Give k(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u. Give m(10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -945*x**3\/2 + 20*x**2 - 71*x. Let s be g(4). Round s to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 6)*(-59*o - 165*o - 136*o)*(1 - 1 + 1).\nAnswer: 1080*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473644800 by 320.\nAnswer: 1480140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98 - -63) + 142 + -183?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Sort -15, -47332, -7 in ascending order.\nAnswer: -47332, -15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 12147.\nAnswer: -8\/12147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*r - 116*r = -3900 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -10 (b) -3\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 2*n + 100. Let o(k) = k**2 + 2*k + 198. Calculate 5*b(v) - 3*o(v).\nAnswer: 2*v**2 + 4*v - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/80 and 0 + -4 - ((-12935)\/450)\/13.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j + 5*h, 6 = -2*j + 5*h - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6587 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580, 90, -684, -1748, -3108, -4770, -6740?\nAnswer: -9024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197 or 3\/689?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4\/4 - 2*j**3 + 2*j - 23. What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:44 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.88 + -0.12. Let l = -451.9 + 451. What is the second biggest value in l, z, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlyy when four letters picked without replacement from {r: 2, l: 2, y: 4, f: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*(-y**2 - y**3 + y**2) + 0*y**3 + 1808*y + 3*y**3 - 1813*y to t*y + s*y**3 + x + l*y**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -190 + 1516300?\nAnswer: 1516110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let q(l) be the first derivative of 39*l**2 + 2*l + 72. Calculate b(q(d)).\nAnswer: -6084*d**2 - 312*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/((-247)\/19)*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1668?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30757, 30124, 29491, 28858?\n\"Answer: -633*y + 31390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 4*a**3 + 0*a**3)*(-2 - 1 + 2) + (5*a - 2*a + 0*a)*(9*a - 9*a + 4*a**2) - a**3 - 8*a**3 + 4*a**3 - 4*a**3 - a**3 + 4*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1043620 and 27\/3026498.\nAnswer: 30264980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 19, -62, 8627?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/363 and 26\/1881.\nAnswer: 20691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:34 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h. Let c(q) = -10*q - 13*q**2 + 10*q + 26*q**2. What is l(c(k))?\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 2*f. Let m(s) = 5*s. Determine m(k(w)).\nAnswer: -10*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -3, 6, -8, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 16 + 20 - 36.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 28. Let v(m) = 6*m - 85. Let w(c) = -17*t(c) + 6*v(c). What is the lowest common multiple of 8 and w(20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - 8*h + 3*h**2 - 2*h to the form q*h**2 + s*h + u and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7883226.\nAnswer: 2, 3, 13, 59, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87526601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/20*75\/50. What is the smallest value in 21, 5, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 24*v + 27*v + 13, -3*g - 3*v - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10390.47 rounded to the nearest one hundred?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114913560 + 17.\nAnswer: -114913543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*i**5 + 206*i**4 + 782*i**3 + 1330*i**2 + 1048*i + 312 = 0. What is i?\nAnswer: -6, -2, -13\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. What is the units digit of ((-2)\/t)\/((-5)\/(-60)*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000312283 to 6 decimal places.\nAnswer: 0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -124. Suppose v = 2*k + 2*k + 3*u, 3*u = 9. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-387)\/72 - (1 + 55\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9.4 times -69.08\nAnswer: 649.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1109 + -510. List the prime factors of x.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103631, -828809, -2797081, -6629993, -12949091, -22375921, -35532029?\nAnswer: -53038961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 521, 601, 801, 1175, 1777, 2661, 3881, 5491?\n\"Answer: 9*a**3 + 6*a**2 - a + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2 - 2)*(2*n**3 + 2*n - 2*n + (1 - 1 + 2)*(-n**2 + 2*n**3 + n**2) + 2*n**3 - 3*n**3 + 3*n**3 + (2*n**3 + 2 - 2)*(-7 + 3 + 2)).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:31 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2701064, -2701063, -2701062, -2701061?\n\"Answer: s - 2701065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5229877 - -0.22145.\nAnswer: -5229876.77855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718120 (base 9) to base 11.\nAnswer: 270a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67810000 rounded to the nearest 1000000?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m - 355*m + 175*m = -4*s - 1, -5*s + 4*m = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 0 + 1\/3*g**3 - 6*g**2 - 1\/60*g**5 - 1\/2*g**4. What is the least common multiple of 14 and m(-10)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 + 6*c + 9. Let f be r(7). Let m(v) be the first derivative of 4*v**2 + f + 0*v - 4 + v. Let z(x) = -x. Give -2*m(b) - 14*z(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*x, g + 3*x = 4*g - 9. Suppose g*s = 9*s + 5*f - 637, -4*f = -20. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -32. Let o = -4 + 7. What is the remainder when w is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 11 + (4 + -3 - (6 - -6))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/25, 5, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 8. Let l be i(6). Let c = 4635\/142 - 10\/71. What is the common denominator of (23\/l)\/((-16)\/(-6)) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410531.155 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469349 (base 14) in base 10?\nAnswer: 9936677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.4 times -1.7?\nAnswer: -51.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380 + 0*h**3 + 4772 + 2*h**3 - 2392.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 3264*y + 60572.\nAnswer: 4*(y + 19)*(y + 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 461259162.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwpxieiiiiwpwiwi. What is prob of sequence pew?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.6\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 = 983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 8, z: 9}. What is prob of picking 1 z and 2 p?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 20 = 4*y. Suppose 0*s + y*a + 131 = 5*s, -5*s + 2*a = -133. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -4750.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-540)\/35)\/(3\/(-28)). Suppose -5*r + 49 = -31. What is the highest common factor of r and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12679?\nAnswer: 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/443 and -103\/26682.\nAnswer: 11820126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3426.2 + -3426. Which is the fifth smallest value? (a) -8\/3 (b) 1 (c) y (d) 0.4 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(891)*-2 + (sqrt(891) + sqrt(891)*-1 - sqrt(891))*-1 + sqrt(891) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 49674314 - -67479\nAnswer: 49741793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -4. Let w = -0.2999992 - x. Round w to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -871057, -1742068, -2613079?\n\"Answer: -871011*t - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 10*o**2 + 10*o - 16. Let m be i(7). Let j = m - 85. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -710979 by 18.\nAnswer: -236993\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + 1 + -86. Let w = o + 168. Let h = w - 48. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*a - 28. Let c = 0 + a. Do c and 12 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44204 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9036.26cm to micrometers.\nAnswer: 90362600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -24. Which is the closest to 0.3? (a) 2\/5 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.748 + -0.082. Let j = h + -0.66078. What is j rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x**3 - 583*x**2 + 2724*x - 74. Calculate q(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/104 + 167\/13. What is the second derivative of -13*d**3 + n + 3*d**3 + 2*d - d - 2*d**3 + d**2 wrt d?\nAnswer: -72*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.668 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**3 + 6*n**2 + 5*n - 64. Let o(g) = 9*g**3 + 7*g**2 + 6*g - 61. What is -7*c(i) + 6*o(i)?\nAnswer: -2*i**3 + i + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 687276?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*y = 12, 4*r = -r - y - 21. Put r, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = z - 7, -z = 5*v + 2*z - 17. Let c(u) = u - 6. Let w be c(4). Let l be w\/(-8) - 60\/(-16). What is the highest common factor of v and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - l**2)*(2*l + 4*l**2 + 64 - 59 - l**2).\nAnswer: 9*l**4 + 6*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b + 6. Let k be (-3)\/(b - -6)*-4. Solve -k*y - y = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - z**3 - z**3 + z**3 - z**3 - 2*z**3 + 5*z**3 - 2*z**3 - 4*z**3 + (0 + 0 + 2)*(-3*z**2 + 3*z**2 - 2*z**3) - 2*z**2 + z + 1298 - 1298 + 4*z**3.\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -39*(-7)\/((-63)\/6). Let q = -53\/2 - x. Let v be (-1)\/((-12 + 0)\/2). Which is the closest to 0.1? (a) 3\/4 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 6.07, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -968 + 972. Which is smaller: -21 or k?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -83. Let c = i - -71. Suppose -16*h = -c*h - 124. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:51 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/(((j\/(j*j**(-2)))\/j)\/j)*j))*j)**19*j**(-10)\/(j\/j**(-4\/9)) assuming j is positive.\nAnswer: j**(581\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630590 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: What is the product of 0.2 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3989\/976 + -154\/61. Find the common denominator of 17\/22 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(162) + -1)*-3)**2 - (-6*(sqrt(2) + -1)**2 + -4 + sqrt(2)*-1).\nAnswer: 313*sqrt(2) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55377.612*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3115, -3452, -4007, -4780, -5771?\n\"Answer: -109*o**2 - 10*o - 2996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 190*u**2 - 3*u - 17. Determine t(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -244 + 228 + -99.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -29*j - 5. Is z(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n. Let f(z) = -548*z + 548*z - 2*z**2. Give t(f(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 7. Calculate j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14*0.678\nAnswer: 9.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23659, -23655, -23653, -23653?\nAnswer: -23655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 35*j**3 - 3 - 3*j + j - 26*j**3 + 3*j**3 + 2 as x*j**2 + p + f*j + u*j**3 and give u.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - 2) + 31 + -27 + -4 + 10 + 1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -177. Does 13 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122618261 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -4 - (24 - 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-2) + 11 - (-8411 + 0) a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Solve -n*d - 21 = 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640731.7 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + 37*s**2 + 11*s. What is the remainder when 106 is divided by v(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533881377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 38*k - 103. Let m be j(35). Is (-2)\/(-11) + m\/((-22)\/(-92541)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.9 + 65.90283. Round c to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 + 0*o + 17\/60*o**5 + 1\/8*o**4 - 2*o**2 + 1\/6*o**3. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let z(a) = 3*a**2 - 38*a. Give z(n(w)).\nAnswer: 12*w**2 - 76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2452\/10 + (-21)\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10 and -79\/4213980.\nAnswer: 4213980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4487 and 106406?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -0.0225\nAnswer: -4.9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g. Suppose 412 + 150 = a. Let j(o) = a + 0*o - 562 + o. Give j(h(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4 + (sqrt(17) - sqrt(17)*1))**2 - -1*sqrt(612)) - (sqrt(68) + 0 + 4 - sqrt(68) - -3*sqrt(2448)*2).\nAnswer: -66*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 9 + 6 + -29.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3734 + -0.3734. What is the third biggest value in -44, 0.059, q?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 6) in base 13?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikxiixxxxxxixxik. What is prob of picking 2 i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + 1. Let w(m) be the third derivative of m**6\/40 - m**5\/60 - 7*m**4\/12 - 11*m**3\/6 + 23*m**2. Let z(a) = f(a) - w(a). Factor z(i).\nAnswer: -2*(i - 3)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 0. Suppose v = 3*z - 36, 4*z = 2*z - w*v + 38. Calculate the highest common factor of z and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 2173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5055564 divided by -1263891\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(1*36*(-2072)\/1554)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k, k - 5*k + 3391 = 3*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74868260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(95) - sqrt(95)) - sqrt(95) - 3*sqrt(95)*3)\/((-4*sqrt(180)\/sqrt(4))\/(sqrt(729) + (sqrt(729) + -2*sqrt(729) - sqrt(729)))) + -5.\nAnswer: -117*sqrt(19)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (32\/(-7) - -2)) + 42\/98\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 20*x - 10. Calculate the remainder when w(9) is divided by (3 - 21\/6)\/((-10)\/180).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7) + (-1 - (-6 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) + (sqrt(17) - sqrt(204)\/sqrt(3)))**2*3*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(9 + (-1778)\/580) + (-2)\/(-29) and -87\/1672.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let s be (h + -4)*21\/(-12). Suppose 0 = -4*i + 73 + s. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (-47 - -50 - (-1 - -11))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.007707398.\nAnswer: 0.003853699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 3. Let v be t(-3). Which is smaller: -1\/96 or v?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(9)\/sqrt(3) + 2 + (sqrt(3) - (sqrt(3) - sqrt(12))) + sqrt(3) + ((-6*sqrt(48) - sqrt(3)) + sqrt(3) - (4 + sqrt(48))).\nAnswer: -24*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -27. Let n(x) = 20*x. Let b be n(-1). List the prime factors of (16\/b)\/(g\/170).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4*n**2 - 7*n**2 + 1 + 13*n**2. Let q(a) = 4*a**2. Calculate t(q(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 525135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u*x**3 - 2*u*x + 73907*u + 551*x**3 - 3*x - 2 wrt x?\nAnswer: 6*u*x**2 - 2*u + 1653*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0 + 0)*(22*q - 17*q**2 + 9*q**2 + 6*q**2 + 1).\nAnswer: -2*q**3 + 22*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 + 4*x + 4. Determine w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -273*v + 17747. Calculate u(65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 4*o**3 - 2*o**3)*(-66*o**2 - 536 + 536).\nAnswer: 264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (30\/9)\/((-4)\/12) + 3884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125.8 + 78. Let q = -48 - z. Which is the fourth smallest value? (a) 3 (b) -2 (c) q (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -32. Suppose 2*c + 0*c + 5*w = -25, -2*c = l*w + 10. Solve -3*v + c*v = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-37\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2926, 2940, 2864, 2650, 2250?\n\"Answer: -8*c**3 + 3*c**2 + 61*c + 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 8, a: 6, n: 1}. Give prob of sequence ot.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, -264, -433, -624, -843, -1096, -1389?\n\"Answer: -g**3 - 2*g**2 - 140*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (5 - 3) + 1. Let a(v) = -v - 1. Let q be a(0). Does 13 divide y + q + 134 + -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 6. Let n be a(-10). Suppose n*q - 2 - 23 = -3*o, -o = -3*q + 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2131119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let y(d) be the third derivative of d**5\/30 - 5*d**4\/24 + 44*d**2 - 2. Calculate -10*r(k) - 2*y(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 + x**5 - 3*x**5)*(2 + 1 - 4) + 68*x**5 + 10*x**5 + 8*x**5.\nAnswer: 87*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21403014?\nAnswer: 2, 3, 881, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 + -58 + 48 + 38\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 8. Suppose 2*n + 18 = -2*c, -5*n + 5*c - 5 = -0. Let p be u(n). Solve -4 = p*d - d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 67, 6, -1, 1 in ascending order.\nAnswer: -1, 0, 1, 6, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1611223, -1611217, -1611211, -1611205, -1611199?\n\"Answer: 6*j - 1611229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -425.4526 - -434.452556. Let p = -94 + 85. Let d = m + p. What is d rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = -0*p. Suppose 5*g + n = 469 - 48, 0 = 3*g + p*n - 247. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2\/93, -0.4 in increasing order.\nAnswer: -5, -2, -0.4, 2\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/88854903 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 110 + 10. Suppose 0 = 2*u + 1 - 5. Differentiate -2 + 9 + 6*g**u + v wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 21. Let f(q) = 1. Let j(x) = -d(x) + 3*f(x). List the prime factors of j(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -r + 2*c, -2*c + 418 = r + 2*c. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2 - 12\/8). List the prime factors of (-1030)\/(-25) + b\/10.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.673732644 rounded to two dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8962, 17822, 26682, 35542, 44402?\nAnswer: 53262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 1294*m + 7721. Calculate z(6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148114 and 9682?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6152581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -38 - 28 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -11387652?\nAnswer: 5\/11387652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-119)\/(-21))\/((-2)\/(-6)). Suppose q - 5 = -3*o. Let c be o\/(-2) + 0\/1. Solve 12 = c*s - 6*s - y, -2*s - 6 = -3*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 26*l**2 - 7*l. Let k be h(-3). Let w = k - 158. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -30*d + 92. What is the remainder when ((-716)\/8)\/((-2)\/d) - 5 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -104, -3, -8 in descending order.\nAnswer: 4, -3, -8, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25.9. Let z = u - 3.94. Let v = z - -2.14. Is v less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*q - 3)*(118*q - 210*q + 11 + 100*q).\nAnswer: -24*q**2 - 33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + -2. Let b = -21.6 - i. Let p = -1.60000084 - b. Round p to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226\/91 - 857\/455. Which is the second smallest value? (a) k (b) -4 (c) 37 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(2\/3)*c))**(-28))**(-1\/3))**(-42) assuming c is positive.\nAnswer: c**(784\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = 67*y + 465 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*z + z**2 - 16*z**2 + 106*z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01505906955 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71343524 to the nearest integer?\nAnswer: 8447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-20))\/((-1)\/10). Suppose 0*f + w = 4*f. Suppose 0 = -f*n - 3*j + 30, 2*j - 32 = -6*n + 2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7761*l + 8760 wrt l?\nAnswer: -7761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:50 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 3076 = -7279. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2120, 0, -45 in ascending order.\nAnswer: -45, 0, 2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 34250*v**2 + 146203750*v - 3676531250 = 0. Calculate v.\nAnswer: -8575, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((4 - 1) + 44 + -32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -78. What is the lowest common multiple of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2850 is divided by 369.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -295, -480, -815, -1300, -1935, -2720, -3655?\n\"Answer: -75*n**2 + 40*n - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7) + (-2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*k*p**2*v**4 + 6*k*p**2*v - 14*k*p*v + 9*p**2*v**2 - 4*p**2*v + 123*v**4 - 2*v**2 wrt v.\nAnswer: -2016*k*p**2*v + 2952*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35440348 divided by -1\nAnswer: 35440348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352591.6 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 32*w**3 + 2*w - 17. Let k(j) = -11*j**3 - j + 6. What is 6*i(q) + 17*k(q)?\nAnswer: 5*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 - 14022*o**4 - 49196169*o**3 - 294798532*o**2 - 442064640*o - 196448256 = 0. What is o?\nAnswer: -7008, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -259, -2054, -6931, -16432, -32099, -55474, -88099?\n\"Answer: -257*y**3 + y**2 + y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*x + 42 = 0, -18*x = 3*t - 13*x + 48 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -428 - -432. Suppose 2*l - j*d = 204, 5*l - 12*d = -11*d + 483. What is the smallest common multiple of l and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 161\/6, -58, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 2260*v**3 - 114624*v**2 - 1866752*v - 10043392.\nAnswer: 4*(v - 613)*(v + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 15*o**4\/4 - 3*o**3\/2 + 3*o**2 - 24*o. Let s be h(3). Suppose 0 = 10*p - 2*p - s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i*i**(-4)*i))**(2\/47) assuming i is positive.\nAnswer: i**(8\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*l**2 + 508*l**2 + 32*l - 32*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-5)\/(-2) - 3) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(36\/(-10))\/(-3)*30\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 87980333?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*n - 28, 5*p - 73 = p - 5*n. Suppose 3*d - 17*s - 78 = -13*s, -s = 4*d - 66. What is the lowest common multiple of p and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Let t(m) be the first derivative of 1\/2*m**2 - 2 - y*m. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13735975, 27471960, 41207945?\n\"Answer: 13735985*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -410, -409, -408, -407, -406, -405?\n\"Answer: s - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Find the common denominator of -119\/1404 and 2192\/(-320) - (0 - 6).\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 38*i + 33. Let h be l(-18). Let n(f) = -f**3 - 3*f**2 + 1. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9838 - -2953. List the prime factors of ((-4)\/10)\/((0 - -3)\/n).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n - 11*n + 14*n - 64 - 36*n to the form m + p*n and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 5*g + 1021, 0 = g - 5. Let q = -336 + z. Suppose -4*l = 5*x + q, x - l = 3*x + 63. Does x = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 63 = 4*i. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -934, -1872, -2810, -3748, -4686?\n\"Answer: -938*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 73 = -68 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 2*a + 1. Let w be y(1). Is 104\/12*6\/w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -5, -4, 8, 4 in ascending order.\nAnswer: -5, -4, 4, 8, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5262*b**2\/7 - 3502*b\/7 + 4\/7.\nAnswer: -2*(3*b + 2)*(877*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5924 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1, -4\/5, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 80*h + 24. Let r(i) = -198*i - 49. Let c(k) = 2*r(k) + 5*v(k). Determine c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149142, 149141, 149140, 149139, 149138?\nAnswer: 149137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109201.\nAnswer: 109201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624672.\nAnswer: 2, 7, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 178.39445146 from -3602.\nAnswer: -3780.39445146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 1. Let a be i(-1). Let p be (-2)\/a + 2\/2. Let m(u) = -41*u**3 - 2*u**2 + 1. What is the common denominator of m(p) and -49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 6601908?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6025, 6029, 6035, 6043, 6053, 6065, 6079?\n\"Answer: k**2 + k + 6023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001163624456 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-633.\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + 394. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34.6? (a) 0.1 (b) 5\/1137 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 4*l - 3*l)*(0 + 0 - 2*l**3) - 2*l**4 + l**4 - l**4 to the form b*l + v + n*l**3 + a*l**4 + o*l**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 2*j - 2. What are the prime factors of w(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 75131278.\nAnswer: 751312780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024975755 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 4)*20\/6. Suppose -41*l = -46*l + i, -5*q - 3*l + 171 = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 145. Let u be c(0). Let j = u + -108. What is the remainder when j is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*v - 4, -10*g + 6 = -5*g - 2*v. Solve g*n - 7 = -3*j + 8, 2*j = 2*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((0 + sqrt(500) - sqrt(500)) + 2)**2 + (-1*sqrt(500) + -2 - sqrt(500)) + 3)*-5.\nAnswer: -10 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 + (-3 - -6*1) + 2. Suppose t = -18*p + 12*p. What are the prime factors of 61 - p*(3 - 2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 + (0 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiosiiosioios. Give prob of picking 1 i and 1 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18607, 37217, 55827, 74437?\n\"Answer: 18610*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1776384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37273*v**2 - 11184*v**2 - 4884*v**2 + 9366*v**2)*(-1 + 1 + 1).\nAnswer: -43975*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(30\/33))\/(2\/(-4)). Suppose 0 = v - 13 + c. Suppose -95 - 3*n**4 + 49 - 3*n + 3*n**v + 3*n**3 + 46 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:58 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*i + 7804 = -23*i - 2500. Let r be (2\/(-4))\/((-2)\/736). What is the greatest common divisor of r and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7307\/3 - 2460. Find the common denominator of -181\/30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46d2 - 49?\nAnswer: -473b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 8*q. Let h be k(-8). Let n = 2 + h. Suppose n*x + 21 = 3*l, l + x = -4*x - 10. Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let c = -207 - -201. Let f = a + c. Are f and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -290.4 - 29.6. Let r = -319.99999646 - b. What is r rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5712.72ng?\nAnswer: 5.71272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 1268*v**3 - 200978*v**2.\nAnswer: -2*v**2*(v + 317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 169, -0.6, 0.26, 5, -6\/11 in ascending order.\nAnswer: -4, -0.6, -6\/11, 0.26, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 186. What is t(37)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.67 + -0.47. Let o = 1 + -5. Which is the nearest to -1? (a) -4\/7 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2907)\/399)\/(79\/553).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 521*k + 34920. Calculate g(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43981022 is divided by 462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1124130 (base 10) to base 7\nAnswer: 12361230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -m - 146, m + 4*a = 9 - 155. Let v = 209 + m. Suppose -7*f + v = -4*f. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -6*n - 2*n. Let a(s) = -12*s**3 + 8*s**2 + 12*s + 3. Is a(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7175 = 4*k + 7319, -4*k + 16 = 2*f + 76 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -w - 29, -4*x + 3*w = -0*x + 56. Let o be 0\/((-10)\/4 - x\/22). Suppose 5*q - 9*q + 12 = o. Which is bigger: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 150644*v**2 + 301276*v - 150636 = 0. What is v?\nAnswer: 1, 37659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08060635 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/f**7)\/(f\/(((((f**(-10)\/f)\/f)\/f)\/f*f)\/f)*f**(-15)*f*f) assuming f is positive.\nAnswer: f**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014 + 121144332?\nAnswer: 121143313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.49 * -19893.\nAnswer: -69426.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 707 and 1057896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*r = -14 - 47, -3*m + 20 = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 85. Suppose 4*d + d + j = 3*o, -5*o = -5*d - 155. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3 - 776. Let x(w) = 305*w**2. What is b(x(i))?\nAnswer: -279075*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 3, e: 3, o: 3, r: 1, i: 4}. Give prob of picking 2 i and 1 o.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2\/117, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**2*p*y**3 - 3*o**2*p*y - 12*o*p**2*y**3 + 2*o*y**2 + 2*o*y + p**2*y wrt y.\nAnswer: -12*o**2*p - 72*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*45\/18 - 1. Solve 0 = 4*x - 5*b + 12, j*x + 2*b + 10 = -2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20175 is divided by 439?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1167 = -5633. List the prime factors of t.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*p - 7. Is p at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13633, 23892, 34151, 44410, 54669, 64928?\n\"Answer: 10259*p + 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343121, 686235, 1029349, 1372463, 1715577?\nAnswer: 2058691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 83, 84, 85?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - (-68)\/(-8))*2*-1. Let h(y) be the second derivative of -y**5\/20 + y**4\/12 - y. List the prime factors of h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 81 + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.96 - -0.04. Let w = -3 + 8. Let o = w + -5.1. Put -0.4, o, v in decreasing order.\nAnswer: v, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2008 and -38?\nAnswer: 37.7992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*i**2 - 96*i**2 - 99*i**2)*(16*i**2 + 7*i**2 + 3 - 17*i**2).\nAnswer: -618*i**4 - 309*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + (12 - -1). Let y = 84 + -78. Solve 3*n - 3*m + t = -n, 0 = n - 3*m + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 26*x**2 - 11*x + 13. What is the hundreds digit of m(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 9. Suppose 4*x + 4*v = 8, -j = -2*x + 7*x - v. Let h(l) = 23*l + 739. Let z be h(-32). Sort x, -3, z.\nAnswer: -3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 102*q - 3. List the prime factors of n(-31).\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 5*b + 16. Suppose -3*s = 2*c, 0*c + 4 = 2*c + b*s. Let h(u) = -7*u + 7*u**2 + 2*u**3 - 3*u**3 + 1 + 0. Give h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i**3 + 15*i**2 + 173*i + 5. Let q(l) = 22*l**3 - 22*l**2 - 260*l - 8. Let x(f) = 8*n(f) + 5*q(f). What is the second derivative of x(m) wrt m?\nAnswer: -12*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzggzgz. What is prob of sequence ggg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -6565*y**4\/6 - 2353*y**3\/3 - 4618*y. Find the second derivative of d(x) wrt x.\nAnswer: -26260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 5, k: 2, y: 1, h: 5, c: 2}. Give prob of sequence nc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 8. Let u be c(6). Let o = u - 2. What is the least common multiple of 106\/10 - o\/10 and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 2 (c) -2 (d) -148 (e) 1\/2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 136 = 74. Suppose -10*c = -q*c + 310. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1128062*s**4 - 2*s**3 - 4868296*s wrt s.\nAnswer: 13536744*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 33*s**2 + 70*s + 6. Let f be t(-35). Let w(y) = -y**2 - 2*y - 13. Let o(d) = -2*d - 1. Let c(a) = f*o(a) + w(a). Determine c(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2503 by -12472.\nAnswer: 2503\/12472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/((3\/8)\/(231\/(-132))). Calculate the highest common divisor of c and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3030799*f + 3030799*f + 4*f**2 - 3*f**3 - 3. Let t(y) = -3*y**3 + 4*y**2 + y - 2. Give 2*s(q) - 3*t(q).\nAnswer: 3*q**3 - 4*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from illliiilliililii?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 97800 = 72*b + 245*b. What is the greatest common factor of 163 and b?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + 11\nAnswer: 11.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 4*x**2 + 3*x**2 + x - 2*x**2 - x + 0*x**2 + 5*x**2 - 3*x**2 + (-1 + 1 - x)*(3*x - 4*x + 2*x) + 42*x**2 - 59 + 59.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + sqrt(128))**2)*-3.\nAnswer: 45*sqrt(2) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7 = -13, -c = 5*k - 23. Let y(i) = -i**3 + 4*i**2 - 4*i + 2. Determine y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-21)\/(((q*q*q\/q**(1\/11))\/q)\/q*q\/((q*q\/(q\/q**(-2))*q)\/q)))\/((q**(-3\/4))**34)**(-8\/7) assuming q is positive.\nAnswer: q**(-3007\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*r + 3 = 8, 2*o + 4 = 5*r. Suppose 0 = 8*f - o*f - 405. What is the remainder when f is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 + 3)*(77*q + 2261 - 2261 - 4*q + 3*q + 0*q + 2 - 2 + 2*q + (4*q + 0*q - 2*q)*(5 - 2 - 5)) to u + r*q and give r.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2 - 1\/6*m**4 - 1\/2*m**3 - 1\/2*m**2 + 2*m. Let k(c) be the first derivative of t(c). What is k(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2467616110 to the nearest one million.\nAnswer: -2468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*s - 241, -2*f - s + 4*s + 125 = 0. Let g be (-11)\/(-4) - (-1)\/4. What is the remainder when -2 + f + -4 + g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010001110100 (base 2) to base 16.\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*t + 24663 = 0, 0 = -10*t + 14*t + 20. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/7 + 15376*x**4\/7 - 10256*x**3\/7 - 20502*x**2\/7 + 10253*x\/7 + 5126\/7 = 0. What is x?\nAnswer: -5126, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112592219, -225184437, -337776655, -450368873, -562961091, -675553309?\n\"Answer: -112592218*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 53*k**2 + 99*k + 165. Give w(51).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2276, -2229, -2182, -2135, -2088?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Suppose 5*u = -2*t - 644 + 648, -4*u + 4*t = -48. Let s(f) = -7*f - 6. Determine u*p(h) + s(h).\nAnswer: -11*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4751 or -4752?\nAnswer: -4752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = b - 534, m - 8 = -5. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 347603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2 = d, -4*d = g. Let f be 2\/(-1 + 1 + 2). Let y be f*3 - (-9)\/(-3). Solve b - 4 - 14 = -4*a, y = 2*b + a - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 6*(sqrt(1331) + -1 + 3)*4)*-3)**2.\nAnswer: 247104*sqrt(11) + 6924240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.2 (c) 93 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7238 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9 + 3. Let q = k + 3. Let i(z) = -z - 1. Let g(j) = 1. Let v(y) = -y**2 + 5*y - 5. Let n be v(2). Determine n*i(f) + q*g(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742988827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + i. Let g(v) = -v**3 - 14*v**2 - 14*v - 13. Let c be g(-13). Suppose 2*s - 10 = -3*z + z, c = 5*z + 2*s - 19. What is l(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2116)\/2645 - 102\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/3))**(3\/8))**(-1\/10))**(6\/19) assuming g is positive.\nAnswer: g**(3\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53*z**3 + 1. Give j(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -0.7, 1, 3, 95, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -39 - (-1 + 1 + -3). Let z = -3 - m. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342 = -46*c + 32340 - 1972. List the prime factors of c.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -136 = -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(832) + sqrt(832) + -1))**2 - sqrt(832)) + -1*sqrt(832) + 5.\nAnswer: -816*sqrt(13) + 83230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (49\/(-196))\/(1\/(-10748)). Suppose -h - u = -4*j, -5*h = 5*j - 6*h - 3359. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a + 1026*a**3 + 2270*a**3 - 14*a**2 + 1021*a**3 + 2810*a**3 + 7 wrt a?\nAnswer: 42762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftfhewgewggf. What is prob of sequence geht?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + (8 - 4) - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2919.7 - -2920. Put -3, 0.6, 10, w in increasing order.\nAnswer: -3, w, 0.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 26317\/12 + -2198. Let l = 4157\/2130 - 11\/213. What is the common denominator of s and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(528) - 1*sqrt(528))*1)\/(-1*(sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-1 - sqrt(1100))))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115933158 by 3.\nAnswer: 38644386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*j = 29, -y = -6*y + 5*j + 5. Let q be 2\/1 + 1 + y. Suppose -3*m - 4*f = -49, -3*f = -q*f - 12. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -78, -173, -306?\n\"Answer: -19*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3421, -12629, -27977, -49471, -77117, -110921, -150889, -197027?\n\"Answer: -x**3 - 3064*x**2 - 9*x - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 10\/93, 3, -16?\nAnswer: 10\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*-2514*3\/9*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/172271 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 9:23 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*f**3*r**2 - 128*f**3*r*u**2 - 23*f**2*r**2*u**2 + 2*f**2*r*u**2 + f*u**2 wrt r.\nAnswer: 26*f**3 - 46*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*a**2 + 7 - 7)*(-1082*a + 679*a - 223*a) as q*a**2 + z*a**3 + l*a + c and give z.\nAnswer: -8138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*c**3 - 120*c**2?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 7.108576\nAnswer: 19.108576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2711380 = 17*h + 72*h + 18*h. List the prime factors of h.\nAnswer: 2, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3268 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/172524 and -46\/471?\nAnswer: 27086268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1\/10)*p)*p\/(p\/(p*p\/p**(13\/2))))\/(p**(-2\/61)\/p)**(1\/5) assuming p is positive.\nAnswer: p**(-1584\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 38970 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -29*g**2 + 8*g + 5. Let v(p) = 19*p**2 - 6*p - 4. Let z(x) = 7*v(x) + 5*y(x). Let m(o) = -o**2 + o + 1. Give -2*m(a) - z(a).\nAnswer: 14*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 59*v - 29*v + 15*v + i - 6*i = -745, -4*v + 4*i = -28 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*p + 53 - 35, p + 12 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 21*g**2 + 51*g - 42. What is the hundreds digit of v(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*a + 1009*a**2 + 1049*a.\nAnswer: 1009*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231123?\nAnswer: 3, 77041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27503 + -12113. Is t\/105 + 4\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.1. Let g = -0.1 + 2. Let m = g - -5.1. What is the closest to y in -1\/7, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4971*v = 4368*v - 64521 for v.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j + 7. Suppose 5*z = 42 - 17. Let q be b(z). Find the third derivative of -y**5 + 11*y**2 - 5*y**q + 5*y**5 wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.49, -0.4, -1.1, 24, -0.02 in ascending order.\nAnswer: -1.49, -1.1, -0.4, -0.02, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - l - 2*l)*(5216 + 4937 - 1533) as s + f*l and give f.\nAnswer: 8620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:39 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -12. Suppose -s*u + 36 = 5*i - 19, -5*i = u - 35. Suppose 4*h = 3*g + u, 0*h + 2*g - 8 = -h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647176?\nAnswer: 2, 80897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 3 + 3 + (2 - 2 + f)*(2 + 1 - 1) + 1016 + 1008 - 2022 - 459*f in the form p + z*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62134, -62133, -62132, -62131, -62130?\nAnswer: -62129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52606*h**3 + 15*h - 401 wrt h?\nAnswer: -315636*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209443?\nAnswer: 3, 107, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 - 85. Calculate the remainder when n is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001010001 (base 2) in base 11?\nAnswer: 49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 25, 1.81, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1590 - 672. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - 0.1419?\nAnswer: -1.3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54177527 is divided by 1097.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7970400 and 98400?\nAnswer: 7970400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 610 and 0.26.\nAnswer: 610.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 109\/(-107) - (-8 + 0 + 7). Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*m + 2190, 3*z + m = -m + 2190. Let x = z + -437. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*w = -37, 5*d + 125 - 146 = -w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -25 - 1. Let p(n) = -15679 - 2*n**z + 15679. Let y(r) be the second derivative of 5*r**3\/6 - r. What is y(p(t))?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 + 29 = -v - 2*j, 5*v + 3*j = 639. Suppose 4*d = 13*d - v. What is the smallest common multiple of 62 and d?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3507128 divided by 4.\nAnswer: -876782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135338788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/24 - 11*b**3\/6 - 55*b**2\/2 + 7*b - 7. Let l(q) be the first derivative of n(q). Calculate l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 8*f + 2 + 1 - 9 wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/107 (b) 1\/3 (c) -441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2840 is divided by 727.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1516\/14 - (-2)\/14*-2. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6209*f**2 + 31039*f + 89. Calculate k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -558*u + 550*u + 112 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 242, 921, 2044, 3605, 5598, 8017?\n\"Answer: -j**3 + 228*j**2 + 2*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*s + 1116 = 5*m - 1809 + 372, 9*s + 54 = 6*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5490\/(-14640) + (-299)\/(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 6. What is k(16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (3 - 7)) + 0. Let a = 13 - 9. Let f = a + 9. Solve f = 3*t + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28768 is divided by 28306?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -3. Let j = p - -10. Solve r = -j*w + 12, r + 3*w - 6 = 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v - 3*u = 0, 0 = -4*v + 2*u. Suppose 0 = 3*k - 9 - v. Solve 0 = -k*l + 1 + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, -3\/5, -4 in ascending order.\nAnswer: -4, -3\/5, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ggggggguggggggggug.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2850*p**2*q**3 - 3*p**2*q + 623*p*q wrt q.\nAnswer: 17100*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10193 = -2*z + 10219 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2704 - 2704. Put a, 33, -6 in decreasing order.\nAnswer: 33, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*31565474\nAnswer: -1262618.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -23*m**2 - 3*m**2 + 3*m**2 - 12*m**2. Let n(b) = b. Give n(j(f)).\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11798347 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5 = 5*s, 0 = -s - 4*k - 8 - 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59668210.\nAnswer: 2, 5, 7, 23, 37061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 4\/3, -5, -0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3200 + -3199.7. Which is the second smallest value? (a) -0.566 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*b + 10*b + 8190 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -3. Let b = 88 - r. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -0.0161, -858?\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {s: 1, p: 1, v: 1, r: 9}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*b*w**5 + 3*b*w**2 + b*w + 105*b wrt w?\nAnswer: 5240*b*w**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -50543.889735 and 0.3.\nAnswer: -50543.589735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*(sqrt(48) - sqrt(3)) - (5 + (sqrt(3) + 0 - sqrt(3)))) + 2 + 0 + sqrt(108))*6.\nAnswer: -17 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*n + 3*n, n = 4. Solve 5*q + 2 = 4*u, 3*u = -3*q - 4 - k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 4. Let m = -10 - u. Let f = -302 + 3928\/13. Sort m, -0.1, f in decreasing order.\nAnswer: f, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 + -350 + (-5 - -3 - 9 - -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:57 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 44 = 5*k + n, 0 = 2*k - 3*n - 4. Suppose 3*s + 3*b = -24, 4*s + b + 18 = s. Let p = k + s. Solve -p*a - 14 = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3.7 (b) -4 (c) 1\/3 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04715171 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -811, -0.04, 6\/7, -3, -26 in increasing order.\nAnswer: -811, -26, -3, -0.04, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -650 + 3\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-1 - (sqrt(76)*-3 - sqrt(19)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/12 - j**3\/2 + 2*j**2 - 6*j. Let z be p(-3). Solve 5*k - z = -5*d + 31, 3*k = 3*d - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 740685 * -0.18.\nAnswer: -133323.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4 + 34*m**3 - 200*m**2 + 302*m - 135 = 0.\nAnswer: 1, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.9055, 0, 0.7, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/5)\/((-20)\/150). Let n(u) = 262*u - 257. Let v(x) = -133*x + 129. Let p(o) = y*n(o) - 13*v(o). Differentiate p(d) with respect to d.\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -309*z + 12. Let x(g) = 67135*g. Determine r(x(l)).\nAnswer: -20744715*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:11 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + 7*o + 2. Let f(b) = 10*b - 3. Let i be f(-3). Let t = 54 + i. Let j = t + -14. Let s(k) = 2*k**2 - 3*k - 1. What is j*s(h) + 3*v(h)?\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27190 + 27139.924. Round u to 1 decimal place.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 40*w - 18 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -157112?\nAnswer: -157077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*d = 5*r + 868*d - 55, 13*r - 4*d - 97 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 313*i + 32. Let x(w) = -9*w**2 + 312*w + 40. Calculate 5*v(s) - 4*x(s).\nAnswer: s**2 + 317*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2448 to the nearest 10.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68307757 to the power of 1\/2, to the nearest integer?\nAnswer: 8265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1149 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -100316281.2.\nAnswer: -100316281.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*m + 7*m - 241*m**2 + 229*m**2 in the form z + g*m + c*m**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16*224\/(-588))\/(8\/84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -211100220 (base 3) to base 9\nAnswer: -24326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u**2 - 16*u - 2. Let k(m) = 34*m - 2*m + 29*m**2 - 12 + 15. Let i(h) = -11*c(h) - 6*k(h). Factor i(b).\nAnswer: -(b + 2)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -19*m**6\/40 - m**5\/30 + m**4\/24 - m**3\/3 + 26*m**2 - m. Let n be l(-14). What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 0 = 5*g - k*u + 13, -2*u = -3*g - u - 5. Let x = g - -18. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 131244393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 361791072*v + 10907731648242432.\nAnswer: 3*(v - 60298512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 74*j**2 + 138*j + 70. Let q be l(35). Solve q = -z - 39 + 44 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 31*v**2 - 14*v - 37. Let l be ((-14)\/21)\/((-6)\/(-27)). What are the prime factors of s(l)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 + -10?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 3*u + 4*u + 11*u + 9*u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 107995276.\nAnswer: -107995281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -5*z**8\/336 - z**4\/3 - 2*z**2 - 7. Let y(n) be the second derivative of s(n). What is the second derivative of y(i) wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose 5*r = -1 - 19, m*h - 4 = 3*r. What is the nearest to -2 in -3, h, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 31*m = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/1153, 1, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from dzzyuvyvuvvvzvq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5b1c7 (base 13) to base 6\nAnswer: -3330320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, -1, 5, 10, 7 in decreasing order.\nAnswer: 232, 10, 7, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*a**3*f**2*v**2 + 2*a**3*v**4 + a**2*f**3*v - 3*a**2*f**2 + 6*a**2*f*v**2 + a**2*f - 14542*a*f**3*v**3 wrt v.\nAnswer: 48*a**3*v - 87252*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (731\/102 + -7)*108.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4 + 4)*(-2 + 1 - 2 + (-3 - 1 + 2)*(2 + 5 + 0) + 3 - 1 - 6).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8 - 0. Factor -2*r + 4 + 4*r**2 + 4*r - 6*r**j.\nAnswer: -2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 2*d**2 + 4*d - 168. Let r be j(0). Solve -5*v = -2*l + 15, 2*v = -2*l - r + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 + 27132*g**4 + 1080628*g**3 + 11789652*g**2 + 19473784*g = 0. What is g?\nAnswer: -6743, -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + 6*b + 26. Let l = -25 + 33. Let m be n(l). What is the highest common divisor of m and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from nccwqqnqccnncnwqnn.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 133446177 to the power of 1\/3, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = -6*y + y, 0 = -4*y + 16. Let m be 3730\/18 - o\/36. Let t be 4 + 21 + (-14)\/7. What is the greatest common factor of t and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5512, -11023, -16534, -22045, -27556?\nAnswer: -33067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 26 = -14*d. Suppose -20 = -5*b, -d*q - 2*b = -33 - 51. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7*y = -3*y - 1020, -4*y = 2*q - 512. Calculate the remainder when q is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4292.17172 to the nearest ten.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(19) + sqrt(76))**2.\nAnswer: -24*sqrt(19) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1702783380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104\/97 - -18021\/9118. What is the common denominator of w and 58\/3?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -2*r - 19, 4*r + 3 = -u. Suppose u*m + 162 = 5*x + 9*m, 0 = x - 4*m - 18. What is the smallest common multiple of x and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 147?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170.1 - -170. Which is the closest to h? (a) 0.1 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + -57. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706 = -b + 708 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {m: 1, v: 7, s: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798336 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 22. Is (-4)\/8 + 789\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - 3*r + 24. Let f be h(0). Suppose -3*j + 6 = -0*d + 3*d, 3*d - f = 3*j. Solve -14 = d*q - 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/(-5))\/((-3)\/(-21)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*y + 431 = 0, 0*y + 3*y = -3*x + 435. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2278.61+51028.03\nAnswer: 53306.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20. Suppose -d*j - 10 = 5*v, 4*j + 3*v + 3 = -2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:57 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 - 7*z - 6. Calculate the remainder when (-7)\/(28\/(-304)) - -3 is divided by b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 + 4*g + 2. Let y be q(-3). Let t = 4 + y. Suppose 0*v + 9 = t*v. Sort v, 4, -2 in decreasing order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156893, 313788, 470683, 627578?\nAnswer: 784473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15964957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -38 + -2066 + 2132.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*r - 581*r = -39 - 31. Solve -6*x - r + 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Suppose -g*k = -s + 8, k = 4*s - 2*k - 66. Let f = s - 8. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1106*k**4 - 2*k**3 + k**2 - 3*k - 295 wrt k?\nAnswer: -13272*k**2 - 12*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 15*x. Let u be -3 - (-3 - x - -1111). Let z = u - -1602. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/92*-2*(-16)\/396*3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -2aa?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.3737 nanoseconds to microseconds.\nAnswer: 0.8183737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073079764 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -4 - 12*q - 38*q**2 - 61\/6*q**3. What is the first derivative of n(t) wrt t?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 6. Let w be g(8). What is the second smallest value in -0.4, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3147 and -157.\nAnswer: -494079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394 is divided by 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1465952406 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.3 - -4. Let d(a) = 5*a - 20. Let k be d(5). Suppose -k*i + 3*i - 3*i = 0. Sort i, l, -8 in ascending order.\nAnswer: -8, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2128 + 665. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104521 by -1.\nAnswer: -104521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - y = -24, 0 = 45*k - 35*k - 3*y + 66 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*r - 42 = -3*o, 4*r = 2*o - 48. Let c = o - 16. Find the third derivative of 9*a**3 + 6*a**c + 8*a**3 - 11*a**2 - 7*a**3 wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/791 and -17\/77.\nAnswer: 8701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-19 + 8 + 6 - (24 - 19))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56661426 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: Collect the terms in -2719 + 5439 - 2720 - 832*l + 783*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(((-8)\/4)\/2). Suppose 4*t + 3*i - 11 = 0, t - 5 = -t - i. Suppose -q = -4*w + t*w. Sort w, 5, -0.5.\nAnswer: -0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, 1\/2, -2, 21, -5, -316 in descending order.\nAnswer: 36, 21, 4, 1\/2, -2, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 + 7*v**2 + 7*v + 5. Let x(j) = 4*j**3 - 3*j**2 - 3*j - 2. Let l = 11 - 18. Let z(g) = l*x(g) - 3*c(g). What is the derivative of z(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3433423 + 151?\nAnswer: 3434014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7356300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**2 + 2. Let m(y) = -7*y - 3. Let o(q) = -64*q - 28. Let u(r) = -28*m(r) + 3*o(r). Calculate u(f(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3984 - 2516. Suppose -23*j = -19*j - u. 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 smallest value in 4, -3\/2, 0.3, 8, -1\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165549 equal to 1165547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*r + 3688*r + 1240*r.\nAnswer: 5741*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*m - 24, 2*o + 11 = -5*m - 14. Let b(h) = 4*h**2 - 8*h - 14. Let r(q) = 5*q**2 - 9*q - 16. Let v(p) = -6*b(p) + 5*r(p). Give v(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*g = -119*g + 55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i + 53. Let u be s(5). Calculate the greatest common factor of u and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 112738*x**3 + 1588788444*x**2 + 1588450240*x - 3177351424 = 0.\nAnswer: -28184, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679588.\nAnswer: 2, 11, 241, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-4)\/r)\/r)*r)**(2\/123)\/(((r\/(r*r**3))\/r)\/r)**(1\/4) assuming r is positive.\nAnswer: r**(679\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 15.93. Let x = i - -0.03. Let r = -3.1 + 3. Which is the second smallest value? (a) r (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 12*g + 6. Let j(v) be the first derivative of -v**3\/3 + v**2\/2 + v - 11. Let i(k) = 12*j(k) + q(k). Find the first derivative of i(x) wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010010101110010001 (base 2) in base 5?\nAnswer: 242002030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**15)\/o*o**(14\/9)*o**(-20)\/(o**(-2\/3)*o) assuming o is positive.\nAnswer: o**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*j - 13*j, -2*z - 12 = 4*j. Let y(i) = i**3 + 2*i**2 + i - 1. Calculate y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.92 in -1\/6, 0.2, -23\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 16, 2\/3, 2\/25, 0.13, 6\/7, 4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(17)*-2*1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/10 + 38*j**3\/15 + 31*j**2\/5 - 102*j\/5 + 691. Determine f so that t(f) = 0.\nAnswer: -17, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3888 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/5, 0.4, 0, 0.05597 in decreasing order.\nAnswer: 0.4, 0.05597, 0, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2200*v - 3 + 3 + 7 - 1 + 2198*v + 39*v**2.\nAnswer: 39*v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:19 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 72.5344894?\nAnswer: 70.5344894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 387 - 384. Suppose 5*f - 5 = 4*f. Suppose -c*t - g + 5 = -t, g - f = 3*t. Solve -3*b + b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*s**2 - 54*s**2 + 33*s**2 + 0*s**2 + 0*s**2 + 2*s**2 + (s**2 + 0*s**2 + 0*s**2)*(1 + 6 - 1).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4235*m**2 - 14*m - 22. Let f(v) = 2117*v**2 + 8*v + 11. Let k(p) = -4*d(p) - 7*f(p). Let i be k(-3). Round i to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -6*(-4)\/(-6). Let q(g) = -g**3 - 6*g**2 - 3*g + 6. Let j be q(-5). Let v be (j\/6)\/(38\/(-6)). Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 8*w. Let h(o) = 3*o**2 + 3*o. Let c be h(-2). Solve -c*b - 5 = -w*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 2\/3 (c) -5 (d) -0.062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -74*d + 70. Let k(x) = 4*x. Calculate k(z(y)).\nAnswer: -296*y + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -4993, -21 in descending order.\nAnswer: 2, -11, -21, -4993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 320, 700, 1106, 1532, 1972, 2420, 2870?\n\"Answer: -y**3 + 19*y**2 + 330*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + (-28)\/(196\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - 4*s + 6*s - 1 + 1 + s + (-s - 2*s + 2*s)*(-4 + 6 + 0) + 2*s + 0*s - 5*s - 2*s - 1 + 0 + 3.\nAnswer: -8*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccb when four letters picked without replacement from jjcubujjbujuccu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:08 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00408500404 rounded to seven dps?\nAnswer: 0.004085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81259821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/795963 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -6.17 (c) 15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20\/p)**39)**22 assuming p is positive.\nAnswer: p**16302","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:05 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 144, 205, 254?\n\"Answer: -6*n**2 + 91*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12.297, 0.3, 1922, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:21 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -133*f - 1. Is n(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 3, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 8:33 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127815?\nAnswer: 5, 13, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus -16.33214?\nAnswer: 16.41214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3468 - 216*u**3 + 218*u**3 + 3468 - 2*u + 2*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -5*m + 3*m, c + 3*m = -4. Suppose 0 = c*p - 3*p + 14. What is the third derivative of -p*y**2 + 56*y**2 - 30*y**2 - 8*y**5 wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 - 10*a + 9. Let c be x(8). Let g = 24 + c. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c - 4. Suppose c*m = -2*q - 846, -3*q - 480 = -m + 801. Let u = -133 - q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237008 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2022354 - -0.02.\nAnswer: -2022353.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 6, y: 3, a: 1, j: 2, q: 3, c: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*m**2 + 0)*(3 + 2*m - 3)*(-66 - 47 + 9).\nAnswer: 624*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/72*1\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(847)))**2 + ((0 + sqrt(7))*-5 + sqrt(7) - (0 + sqrt(847) - sqrt(847))).\nAnswer: -4*sqrt(7) + 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 578496661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-4\/7)\/w*w)*w*w**(-1)*w)\/(w**(1\/7)*w*w**8) assuming w is positive.\nAnswer: w**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -1 - (136 + 44 - 207)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*x + 271*x - 2 - 4 - 141*x.\nAnswer: -x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/53, -1, 22, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1 + -9 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/((-7)\/(-35)). Suppose 4*r - s = a + 3, 2*a - 24 = -4*r. Let g be a\/((-2)\/799999) + -1. What is g rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*k - 101*k - 174. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -684979 + 8?\nAnswer: -684971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -978269?\nAnswer: -978269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4666.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 81*x + 3. Let y(o) = 5*o + 1. Calculate 3*t(d) - 45*y(d).\nAnswer: 18*d - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:05 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6*z + 54 = 3*z, 5*u = z - 334. Let h = u + 70. Suppose -6*f + 74 = -h*f. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + (-40542)\/(-145). Suppose -302 = -6*v + r. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72802531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 2)\/(-4 - 532\/(-134)). Let j be 6056\/(-30)*1 + 1. Let i = x - j. Which is the closest to -1? (a) i (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -368 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97859.\nAnswer: 97859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*x = -3*o + 75*x - 21, 4*x = -5*o - 53 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fndbddfnbfff. What is prob of picking 1 b and 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*g - 6, -g - a + 15 = 4*g. Suppose -4*n + g = -0. What is the units digit of n\/(1 - 2) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1902 - -1462\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29408010*a*i**2*r + 2*a*i*r + 2*a*i - 15*a*r + 2*a + 7*i + 126*r wrt i?\nAnswer: 58816020*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llglllllllllg.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030661615 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67209, -67462, -67733, -68022, -68329?\nAnswer: -68654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gikg when four letters picked without replacement from {g: 9, k: 1, i: 9}?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4185.5391us?\nAnswer: 0.00000116264975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 13)\/(1\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 694*o**2 + 4*o - 6. Let q(r) = 697*r**2 + 3*r - 4. Calculate -3*q(b) + 2*t(b).\nAnswer: -703*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 50*l - 17*l - 2 - 14*l - 15*l. Let s = 177 - 174. Let b(f) = -f + 1. What is s*b(k) + m(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o + o**2 + 1\/60*o**5 - 1\/420*o**7 - 2\/3*o**3 + 0*o**6 + 0 + 0*o**4. Let g(n) be the first derivative of c(n). Factor g(b).\nAnswer: -2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d + 5*d**2 + 35\/12*d**4 - 20\/3*d**3 + 7 - 7\/12*d**5 + 1\/24*d**6. Determine q, given that y(q) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b2 - -35?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*w**3 - 3*w**4 + 5*w**4 + 46*w**3 - 3)*(-1 - 1 + 0).\nAnswer: -4*w**4 - 4*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13670502181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 11*h - 19. Determine k(-11).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v + 7*p = 379, -v - 9352 + 9354 = 5*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2688 divided by 24?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420*u + 2518*u + 200202 + 102098 = -1925*u for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -257. Suppose -y*z + 296 + 0 = 0. Solve -q + z = 2*r, -5*q - 2*r = -4*r - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = -30. Let b(t) = t**2 + 9*t + 7. Let h be b(a). Let i = -15 + h. Let y(q) = q**3 - 3*q**2 + 2*q - 2. Calculate y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:07 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -36, -73, -128, -207?\n\"Answer: -o**3 - 18*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 6. Let m(n) = 23*n - 1. Let u be m(c). Let x = u + 457. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) + 6\/2. Let z(h) = h**2 + h - 1. Let n be z(-3). Let w be n\/2*(4 + -2). What is the second biggest value in k, -3\/8, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 785*u + 27 = 787*u, 8 = -d + 3*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 222. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*((sqrt(792) - (sqrt(792) + sqrt(792) + sqrt(792)*-3 - sqrt(792))) + sqrt(792)) + sqrt(792))*5)\/(-4*(sqrt(288) - sqrt(512))))**2.\nAnswer: 893475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1688*o - 81021. Let h be i(-48). Let f = 21 + -11. Solve -4*q + m + 16 = 0, h*q - 3*m - 2 = f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8 * -0.4.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -15. Sort d, -5, -1 in descending order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240420 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151, -146, -139, -130?\n\"Answer: a**2 + 2*a - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113.11 - -113. Let w = z + 2.11. Put -4, -5, w, -0.1 in descending order.\nAnswer: w, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = 5*r. Calculate the remainder when 1*r + 255\/15 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 5:57 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 7*d - 5*d + 0*d)*(-2*d - 3*d + 2*d) to v*d**2 + a*d + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 6*t - 4*t + 2, 0 = -3*u + 5*t - 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 3*q)*(9 - 21 - 5) + (-5*q + q - 8*q)*(1 + 2 - 2) - 2 + 3*q + 2.\nAnswer: -43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 264280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12103, 51508, 118217, 212230, 333547, 482168, 658093?\nAnswer: 861322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 73*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-48)\/(-160))*(-56)\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 807168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -13*o**3. Let d(a) = -a**3 - a. Suppose -18 = -3*m - 3*s, 2*s = s + 1. Let g(z) = m*d(z) - q(z). Find the second derivative of g(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/75 - 18*h**5\/25 - 34*h**4\/15 + 10170*h. Factor i(q).\nAnswer: -2*q**2*(q + 2)*(q + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*41\/((-164)\/(-24)). Suppose 2*d = 10, d + 10 = 3*b - 0*d. Let v(u) = -u**2 + 5*u + 4. Let t be v(b). Solve 0*q + 5*j + n = t*q, 2 = -j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -41. Let x be s + 16 + 73*1. Suppose 2*n = -2*n + x. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -80. What is the closest to -2 in c, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 11*r**2 - 6*r**2 - 4*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224047*h**2 + 166352.\nAnswer: 448094*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -401, -608, -795, -956?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 0, -5*g + 4*l + 1 = -5. Suppose 2*c = 10 - g, -14 = -i - c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + k - 4. Let a be (4 - -2)*2\/(-4). Let d be w(a). What is the second derivative of v - 3*v + v + d*v**4 wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**3\/3 - 1. Suppose 2*r - 3*r + 4*k = 12, 0 = -3*k + 15. Let x(h) = -14 + 6 + r + 2*h. What is x(c(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 151093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*o + 3813 + 567 = -15*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 204*i**3 + 210*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, -289, 4, 5 in ascending order.\nAnswer: -289, -3, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 2*b - 21, -3*b + 5*s + 32 = 0. Suppose b = 5*x + 4. Let c(n) = 3*n**2 + x + 2*n**2 - n**3 - 6*n**2 + n. Calculate c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 + 19 = 0. Suppose j*u - 4*u + 5 = 0. Suppose 8*n = 3*n - u*m + 40, -4*n = -4*m - 8. Solve -2 = n*o + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48661667 to the power of 1\/2, to the nearest integer?\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2 = -5*c, 4*c = 57*x - 58*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*k**2 - 4 - 660*k**2 + 6.\nAnswer: -964*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose 6*w - 3*w + 12 = l. What is the biggest value in w, -5\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7239 * -134.\nAnswer: -97.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-1\/2)\/z))*z*z**9\/z*z)**40 assuming z is positive.\nAnswer: z**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1334 and 956731.\nAnswer: 55490398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - 38. Round k to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/35987 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 173.1 times 16\nAnswer: 2769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129717459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6932438?\nAnswer: 2, 101, 34319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*k**4 - k**2 - k**3 - 26*k**4 + 2*k**3 + 3 - 2 in the form g*k**3 + z + i*k + h*k**4 + d*k**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00836 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.21 - -1.21114. Round h to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + u - 23 = 4*z - 92, 3*u = 7*u for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14321*m = -14307*m - 98 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - -4*sqrt(80)) + sqrt(30)\/sqrt(96).\nAnswer: 81*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20786 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51692 + 0.11692. Sort -11, 17, o.\nAnswer: -11, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -4*v - 72 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - d**2 + 52.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 12. What is g(13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 5. Let o(t) = -7*t - 11. Let r(s) = -5*c(s) - 2*o(s). Let q be r(-6). Factor -x + 6 + 5*x**q - 4*x**2 - 4 - 2*x**3.\nAnswer: (x - 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -22*p**3 + 4331*p**2 + 594*p - 566. What is r(197)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyjyaajlnggj. Give prob of picking 2 y, 1 n, and 1 l.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 22*l + 73. Let q(g) = -23*g - 133. Let p be q(-5). Let v be z(p). Let b(a) = 10*a**3 + a**2 - a. Give b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + n)*((2 - 6 + 5)*(0*n + 2*n - n) + 5*n - 9*n - 7*n).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-1023*i**4 + 4*i**2 - 1486*i**4 + 2049*i**4) in the form a + q*i**4 + u*i**3 + k*i + c*i**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 388985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Let s(p) = 5. Let o(m) = m**2 + m - 4. Let v(n) = r*o(n) + 3*s(n). Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7289 or -772655\/106?\nAnswer: -7289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87981246347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 6*g - 16. Let d be u(8). Suppose -3*x + 6*x = 9. Solve d = x*k - 5*y - 37, -2*k - 5*y - 10 = 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -55 (b) 9 (c) -0.4 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - v**4 + 2*v**4 + (46*v**2 + 96*v**2 - 97*v**2)*(-3*v + v - 7*v)*(4*v + 0*v - 3*v).\nAnswer: -403*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + 325 - 90 - (-54 + 1 - (-2 - 0)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 - 5*x - 7. Let l be a(6). Let p = l - 3. Is (-160)\/p + 1 - 0 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3649 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/100*t**6 - 151*t + 1\/10*t**2 - 1\/12*t**3 + 0 + 1\/40*t**5 - 1\/24*t**4. Suppose k(w) = 0. Calculate w.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3280 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 0.4 (b) 3\/5 (c) -1\/2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265792 - 105836 = 10323*o for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, 11512, 72\/11, 1\/3 in decreasing order.\nAnswer: 11512, 72\/11, 9\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23363510 (base 9) to base 5\nAnswer: -10403120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.01\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -40. Let d = o + 19. Solve 0*h = -d*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + p = 1187, -3*c + 1128 = -5*p - 620. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*z + 3*r - 36, z + 16 = r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + 6 + 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, -991523, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssseeesyssysssye. Give prob of sequence eys.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.3. What is the second smallest value in 1, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n + c - 2*c, -n + 2 = -c. Suppose 0 = j + 5, n*j + 26 = -2*v - 0*j. Sort v, -2, 5 in decreasing order.\nAnswer: 5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47461 is divided by 2791.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328064?\nAnswer: 2, 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 34*b - 14. What are the prime factors of w(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 56*c - 28. Give w(-8).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let v(x) = -x**2 - 2*x - 1. Let q(s) = -2 + 2 + 1 + s + s**2. Let j(f) = -2*q(f) - v(f). Let o(h) be the first derivative of j(h). Give o(r(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*c + 86*c - 165*c - 1455 + 463 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185693742?\nAnswer: 2, 3, 13, 83, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 31*v**2 - 57*v - 99. Determine g(-29).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1618.623ng to grams.\nAnswer: 0.000001618623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*d = -0*u - 18, 5*u - 5*d = 10. Suppose 3*r + 5 = -2*r. Put u, 2, r in descending order.\nAnswer: 2, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1296 by -81.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9914.\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-70)*(-15)\/(-40).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15246 (base 7) in base 2?\nAnswer: 1000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 8}. What is prob of sequence vvr?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110010 - 10?\nAnswer: 111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwr when four letters picked without replacement from rrrw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -765*h**3 - h**5 - 1612*h**2 + 2577*h**2 - 3252*h**2 wrt h.\nAnswer: -60*h**2 - 4590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11911988\/9 - -1323554. Let x(s) = s**2 + 7*s + 6. Let c be x(-4). Let h(t) = -t + 1. Let y be h(5). What is the nearest to c in l, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 49267?\nAnswer: -49262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 352 - 1437 = 0 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 3*y + 2. Suppose -l = 4*i + 4, -3*i - 2*i - 25 = 0. Suppose 2*s + l = -s - 5*u, s + 2*u + 6 = 0. What is j(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 56, 144, 298, 536, 876, 1336?\n\"Answer: 3*q**3 + 6*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 1\/6*o**4 - 2*o + 0*o**2 + 0*o**3 + 0. Let z(i) be the second derivative of -7*i**3\/6 - 3*i. Calculate z(b(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24725, 24719, 24701, 24665, 24605, 24515, 24389, 24221?\nAnswer: 24005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from mwwmhzwhz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.59 + -40. Let o = -3.59 + u. What is the second smallest value in -2\/3, 2\/3, o, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -920, -788, -576, -290, 64, 480, 952?\n\"Answer: -u**3 + 46*u**2 + u - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253696 is divided by 124.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j. Let g(r) = 8*r**2. What is g(y(i))?\nAnswer: 800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*w = -33, -3*q + 2*w - 11 = -6*q. Solve 7 = 3*j - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from wzwzywzzzzjzyzzyowz.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -3eb5d?\nAnswer: -3eb5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -58 - (2 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let k be (-3372)\/(-4)*3\/360. Let a = k - 69\/10. What is the closest to -2 in n, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 + 4*s**2 - 1\/105*s**7 + 0*s**3 + 0*s + 3\/32*s**4 + 1\/1344*s**8 - 1\/10*s**5 + 11\/240*s**6. Find i, given that y(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -5)**2 + sqrt(50)\/(sqrt(10) + sqrt(40)).\nAnswer: -119*sqrt(5)\/3 + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -922330890 rounded to the nearest 1000000?\nAnswer: -922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 72 = -r - 59, -4*r = 2*n - 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 18. Let g be -15 - 1\/((-2)\/6). Calculate the remainder when 10 - (g\/(-3) - 8) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -141, -151, -161?\n\"Answer: -10*k - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 6006 = 25*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51399080 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 12*j - 2. What is u(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718703?\nAnswer: 3, 7, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56548 and 9916?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 3*h**2 + 5*h - 2. Let b be u(4). Let n be 2\/2*0\/b. Let z(d) = -d**3 + 10*d**2 - 9*d + 4. Let q be z(9). Solve n = q*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 116*d + 2. Let w be f(0). Let x(j) be the first derivative of 6 - 4\/5*j**w + 6\/25*j**5 + 2\/5*j**4 - 4\/15*j**3 - 2\/5*j. What is s in x(s) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -435 - 7*x + 10*x**3 + 213 + 217. Let j(z) = -9*z**3 + 6*z + 4. What is 4*a(g) + 5*j(g)?\nAnswer: -5*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46781 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 - 42450?\nAnswer: -42165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*a + a + 19, p + a + 3 = 0. Let o be (-4362)\/119955 - (-438)\/(-55). Sort o, -0.3, p, 3\/4.\nAnswer: o, p, -0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/33 + 2\/3. Which is the second smallest value? (a) 8 (b) 2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 13*f**2 + 15*f + 78. What is c(18)?\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-17)\/i))*i**(-2\/31))\/(i\/(i\/(i*i\/i**(9\/8))))**(1\/43) assuming i is positive.\nAnswer: i**(-192857\/10664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31 + (1 - 6))*62\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p + 5. Let k be (4\/(-7))\/(46\/322). Calculate o(k).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*f**2*x - 7720523*f**2 - 5564*f*x wrt x?\nAnswer: -51*f**2 - 5564*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 4. Let k(t) be the second derivative of t**3\/3 - 5*t**2 + 71*t. Determine -5*k(s) + 12*l(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*p = 49, 5*l + 0*p - 55 = -5*p. Solve 0 = 4*i - 8, -b - i = -2*i + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 655.173 millilitres?\nAnswer: 0.655173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19675 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 152\/(-192))*(-1368)\/(-855) + (-1)\/(-51)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bcbb58 (base 13) to base 12.\nAnswer: 15a8bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23482.549568 minus 55?\nAnswer: 23427.549568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 40 = -2*s - 4*a, 0 = 3*s - 2*a + 25. Let r be -4 + 154\/56 - s\/4. Which is smaller: r or 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311323103 + 2231?\nAnswer: -2311320212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -5a3e8?\nAnswer: -5a3e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -47172*z + 471731. What is w(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 - 6*i**2 - 6*i - 17*i - 22. Let v be u(24). Let q(a) = 15*a**3 - a**2 + a - 1. What is the hundreds digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15875360797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 18*(-88)\/(-66).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 296\/(-64) - (57\/(-266))\/((-4)\/7). Let c = 76 + -45. What is the closest to -2\/7 in c, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.867953 times -2?\nAnswer: 13.735906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 4*v. Let b = 11 + v. Solve -2*o - 15 = -b*h + h, -o - h = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oxiiixio.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 3 - 6*b**2 - 6*b**2 - b**3 + 5*b**2 + 8*b. Let r be u(-5). What is the tens digit of ((-400)\/15)\/5*r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -249, -362, -457, -528, -569, -574?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 224. Let a = j - -196.99. Round a to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 12. Let u(h) = -h**3 - 4*h**2 + 5*h - 8. What is the remainder when u(-6) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7.9827 (b) 0 (c) -4 (d) 1\/10 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 3*u = -78, 5*u = -5929*b + 5933*b + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11172 and -25.\nAnswer: -11197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54035\/6 + 8981. Let p = -5 - -11. What is the common denominator of (-2)\/p*30\/100 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 121*q**2 - 23*q - 3739. What is v(-121)?\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - sqrt(77)*-1)*-2)\/(2*(sqrt(99) - (1*sqrt(99) - sqrt(99) - sqrt(99))))*2.\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6820, -6860, -6944, -7084, -7292, -7580, -7960?\n\"Answer: -2*i**3 - 10*i**2 + 4*i - 6812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -7537180.\nAnswer: 3014872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 64*s + 4. Let l be g(32). Let d = -48 + 48. Which is the nearest to d? (a) l (b) -0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -8, -1, -10 in descending order.\nAnswer: 3, -1, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/5, -24, 3\/5938?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121683, -243302, -364923, -486546?\n\"Answer: -b**2 - 121616*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.06 + -21. Which is bigger: b or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*v**5 - 2*v**4 + 87*v**2 - 26574*v + 2?\nAnswer: 1420*v**3 - 24*v**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 2, p: 7}. What is prob of picking 3 p?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 15 - 6. Suppose -r = -o + 2 - 39, -2*o - 107 = -u*r. Calculate the highest common divisor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335105532 less than 335105531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 1)*(-2 + 1). Let r be 1\/c - (-684)\/16. Suppose r + 5 = 4*h + 5*a, 0 = -3*h + 3*a + 36. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:15 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/5 - 196*y**2\/5 + 38*y + 388\/5 = 0.\nAnswer: -1, 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8\/11, 4, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897144 divided by -2578.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 96656747.\nAnswer: 96656749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1830.5 + -1830. What is the third biggest value in -3, -5\/17, v, 1?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -30, -165, 0.4, -1\/2, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -0.1. Let v be (-2)\/(-4)*-4 - 4. Let l be v\/(-4) - 6\/12. Which is the closest to x? (a) 3 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 = n, -2*n - 20 = 3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46875 in -13, -3, 2\/7, 1\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 22 = -22 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 + 5*i - 2. What are the prime factors of w(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 106.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -804 and -96146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9)**(-1\/68)\/((a\/(a\/(a*a\/(a*a*a**(5\/14)))))\/((a**(10\/11)\/a)\/a)))**20 assuming a is positive.\nAnswer: a**(-22675\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8.6. Let z = -1.43884461 - -0.03884393. Let s = z + v. Round s to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -813411.\nAnswer: -62\/813411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*h**4*k - 24*h**4 + 87*h*k + h - k wrt h.\nAnswer: -624*h**2*k - 288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -418 + 0.11413\nAnswer: -417.88587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*w = -0*w - 30, -4*c = -4*w. Let s be (-21)\/49 + 3\/7. Suppose -h + c = -s*f + f, -5*f = -20. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18015*m**2 - 36012*m**2 + 18028*m**2.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4432811198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 729300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 4:47 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.76 - 1.76. Which is the fourth smallest value? (a) -0.01 (b) -4 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/(sqrt(36)\/(sqrt(24)\/sqrt(4))) + (sqrt(48)*-1)\/sqrt(6) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 1 + 1)*(-y + 3*y + 0*y) + (0*y - y + 0*y)*(y**2 + y - y) + (-3*y + 3*y + y**2)*(2*y - y + y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -371*q**2. Let a(u) = -2908*u - 2912*u + 5817*u. What is a(d(o))?\nAnswer: 1113*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:22 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/10 + 19*m**4\/12 + 36*m. What is the third derivative of a(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 9*d**2 + 3*d + 32. Let z be c(-9). Solve -2*r = z*f + 10, r = -r + 2*f + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 - 9*x**2 - x - 6. Let s(k) = k**3 + k - 1. Let h(t) = r(t) + 6*s(t). Let z be h(7). Is 9 a factor of ((-65)\/15 - -5) + z\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 divided by 60?\nAnswer: 337\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 1)\/(13\/(-68900)). What is d rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1752177 rounded to one dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32363*-1.\nAnswer: -32363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(-3 + sqrt(425) + -5*sqrt(102)\/sqrt(6)))**2 + -2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -335, -770, -1383, -2174, -3143?\n\"Answer: -89*v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Let q be -3 + ((-1182)\/(-131) - h). Is -1 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 2*g + 242 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 4*y + 1. What is g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 + (-8)\/48)*-2)\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*i = 28*i + 9462865. Is i a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 287894 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-158.1201\nAnswer: 79.06005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 549459791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 12*s**2 - 10*s**2 + 45 + s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793418*o - 396695*o - 2 - 396702*o + 2.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*h = 6, 2 + 10 = -4*o + 5*h. Let p = 4 - o. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/99 and 18\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + (15 - 29) + -25?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12*20\/(-8 + 18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 bigger than -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**4 - 5*i**2 + 0*i**4 - 4907*i + 4910*i - 2*i**2 - 2*i**3 + 232 wrt i.\nAnswer: 120*i**2 - 12*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5331.7 take away -3792121735?\nAnswer: 3792116403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51 - -35)*2*-3. Calculate the highest common factor of 132 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 17) + (2926\/(-19))\/(-22).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1915*341.971.\nAnswer: -654874.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3962\/(-3))\/(2 - 133\/57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 5. Let t be (m\/(-9))\/(3\/(-6)). Let l be 2 + 28\/(-16) - 1. Sort t, l, 2 in descending order.\nAnswer: 2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w = 5*h - 100, -2*w - 10 = -4*w + 4*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + 2*m**2 - m. Let z be i(1). Suppose -1 + 8 = z*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = -22*l - 60. Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpxx when four letters picked without replacement from pppbpppxpbpbxppbxp.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/40464 and -5\/1761.\nAnswer: 23752368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107029, 855891, 2888405, 6846397, 13371693, 23106119?\nAnswer: 36691501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.115 - 0.285. What is the smallest value in -52, n, 4?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86552, 173235, 259918, 346601, 433284?\n\"Answer: 86683*a - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.10082 - 127.02518. Let i = -128.474 - -1.474. Let j = i - y. Round j to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 16) + (-12 - 14 - -14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179660?\nAnswer: 2, 5, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543836 is divided by 257119?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.143 in -85003, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -312111320 (base 4) to base 12\nAnswer: -a8988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 4*k**3 + 0*k**3 + (3 - 3 + 2*k**2)*(k + 1 - 1) + 2*k**3 - 1 + 1 + 0*k**2 + k**3 + 0*k**2 - 4 + 4 + 8*k**3)*(-3*k + 2*k + 2*k)*(56 - 56 - 25*k).\nAnswer: -300*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19539 (base 14) to base 12.\nAnswer: -31153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a - 4*f - 242, 2*a = -4*f - 92. What is the units digit of 1 + 3 - (a + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109218060 divided by 122.\nAnswer: -895230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -414 * -8661\nAnswer: 3585654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42639583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 + g - 4. What is the smallest common multiple of m(5) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 5*t - 1. Let u = -2 - -6. Let h(o) = 4*o - o + 3*o - u*o. Let s be h(2). Determine j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y\/y**(-1\/2)))\/((y**19\/y)\/(y*y\/(y*(y**(-9)*y*y)\/y))) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaakaaaaaak. Give prob of picking 4 a.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1059\/10 (c) 14 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 903903724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 921*h = -926*h - 16, 3*p - h = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 0.5 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d34 + -223?\nAnswer: b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*s + 36152 = 0, 0 = 2*a - 5*s - 15722 - 20421. Suppose 3*x + 3*n - 8*n = 18086, -3*x = -2*n - a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3 - 7*s**2\/2 + 21*s. Let f be k(4). Let o = -13 + f. What is the smallest common multiple of o and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -4, -2\/5, 4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -174, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u + 24*u + 221406618*u**2.\nAnswer: 221406618*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*b**2 + b**2 - 3*b + 4*b - 3*b in the form j + f*b + x*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 572\/3 - 191. Let l be (1\/(-9))\/(6\/12). Which is the closest to y? (a) l (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/11, -14, 56, -52\/3, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1494 (b) -0.6 (c) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78635.\nAnswer: 5, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 1. Let y = -3 + 6. Suppose -x - 5*h + 13 = -y*x, 5*x + 2*h = 40. What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -481342 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -edb6 + -f?\nAnswer: -edc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132713842.\nAnswer: 2, 13, 17, 19, 29, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - o - 417 = 0, -5*o + 27 - 96 = -v. Let i(f) = 4*f + 4. Suppose -3*g + 12 = -6. Let n be i(g). Calculate the greatest common factor of n and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.496217l to millilitres.\nAnswer: 496.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9335 - -10485. Are 1151 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*k - 14*k - 13*k)*(123 - 126 - 94) to g*k + o and give g.\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709651.\nAnswer: 709651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/124*98\/63*(-156)\/91\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 37 = 6*l - 4*l, -5*i = -5*l + 85. Let c be ((-4)\/(-18))\/(2\/l). Suppose -u + 16 = -c*b - 0*b, 14 = u - 3*b. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10622557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25a (base 11) to base 6\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (-6832)\/(-308))*33\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 47.355.\nAnswer: 34.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 174844 (base 12) in base 16?\nAnswer: 622b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2352, -4707, -7062, -9417?\n\"Answer: -2355*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6746500 * 0.2\nAnswer: -1349300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2503 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 0.2 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6, 2, 0.102, 26, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5176 and 359250632?\nAnswer: 359250632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*x**3 + 144*x**3 + 260*x**3 - 191*x**3 + 249*x**3.\nAnswer: 639*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488161 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77960 = -343*b + 2292*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36906, 36911, 36920, 36933, 36950, 36971, 36996?\nAnswer: 37025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2730.941 + 1.741. What is b rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 12, -9, -5 in ascending order.\nAnswer: -12, -9, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4\/3 + 9*w**3 - 11*w**2 - 10*w\/3 = 0?\nAnswer: -1\/4, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33333548 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/8*(-3 + -57). Let w = -27 - i. What is the first derivative of 7 + 7 - 7 - 4*x**w wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 142, 234, 400, 664, 1050, 1582, 2284?\n\"Answer: 4*m**3 + m**2 + 11*m + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -24*f**4 + 11*f**2 - 123. Let l(t) = 8*t**4 - 4*t**2 + 41. Let r(b) = 4*c(b) + 11*l(b). Differentiate r(a) wrt a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -3\/8, 2\/7, 2\/21, 72 in descending order.\nAnswer: 72, 2\/7, 2\/21, -3\/8, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 35. Put -5, 3, b in ascending order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 490, 847, 1204, 1561?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2011 + 2013. Put -0.3, 0, u, -2\/11, -13 in ascending order.\nAnswer: -13, -0.3, -2\/11, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40065 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*j - j = -73, -2*j = 3*w - 104. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1854)\/(-126) + (-2)\/(-7). Let g = q - 5. Suppose -2*o - g = 2*h, 3*h = h + o + 2. Let w(p) = 24*p**2 + p + 1. Determine w(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 + 1 = 6*m. What are the prime factors of ((-6168)\/(-36))\/(m\/(-6) - 3)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 2. Let a(r) = 2*r - 1. Let s(k) = -4*a(k) + 3*m(k). Let n be s(-3). Suppose -p - 45 = -n*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 5 + 7 - 16. Let t be z(-4). Solve c + 9*r = 4*r - 27, t*r = -20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3775894 to three decimal places.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:16 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(4\/15)*u*u*u*u**(-6\/11)*(u*u**18)\/u*u**(-2\/63) assuming u is positive.\nAnswer: u**(73306\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1381*j. Let u(o) = -60*o + 23*o + 4*o + 28*o. Calculate z(u(y)).\nAnswer: 6905*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let o be r(-3). Let q be (18 + -20)*(0 - (1\/(-2) - -2)). Suppose 4*n + o*v + 3*v = 275, 0 = -q*n + 2*v + 189. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 15 + 111 = 0. Let a = m + 135. Suppose 2*j + 2*s = a, -47 = -j - 2*s - 12. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 + 3*y + 11. Calculate n(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 8240.\nAnswer: 13\/8240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1816993 to 3 dps.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1. Let c(p) = 59*p + 5. Let r(i) = -c(i) - 3*u(i). What is the tens digit of r(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 3*g**2 - 16*g - 12.\nAnswer: (g - 6)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 16 + 7 = 5*s, -4*s = 2*x - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*i + 278, -4 = -33*t + 31*t. Which is bigger: i or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 1:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1518871366 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/5 of a centimeter?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 3*u - 1. Let a be j(-2). Let m(h) = -h - 3. Let w be m(a). Suppose w*d = d, 21 = 3*k - 3*d. What is the remainder when 13 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.124783452 and 0.\nAnswer: 3.124783452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(2\/18). Suppose -3 + 1 = -2*t, -3*t = g - o. Let a = 15 - 4. What is the remainder when a is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -41. Let q = y - 2. Calculate the highest common factor of 60 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - n + 13, 5*n + 5 = 0. Suppose 2*r + 153 + z = 5*y, -3*y + 117 = 3*r. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, u: 4, q: 5}. Give prob of sequence qggq.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**4 + 6*y**2 + 11. Let j(m) = 21*m**4 + 13*m**2 + 22. Let q(f) = -13*c(f) + 6*j(f). What is the derivative of q(t) wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/2 (b) -0.1 (c) -6\/13 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-10))\/(5\/(-4) + 2). Solve 0 = 3*l, 4 = q*c - 0*c - 3*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -28 + 14. Suppose -k*s + 425 = 82. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 7. Let l be j(6). Let w be 2\/8 - l\/(-4). Find q such that 0 - 1\/3*q**5 - 1\/3*q**2 + 1\/3*q**w + 0*q + 1\/3*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65406242 is divided by 445?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200675 and 150.\nAnswer: 1204050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a**2 + 42*a**2 - a**3 + 20*a + 40*a**2 + 1 in the form j*a**2 + z*a**3 + d*a + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/1329, -1\/9, -4, -3, 2?\nAnswer: 2\/1329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let o = y - 0.3. Let g be (2 + (-9)\/4)*(-9)\/9. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(8\/9)*p)*p*p*p**(-32\/3)*p)\/((p**3*p*p*p)\/(p*p**24)) assuming p is positive.\nAnswer: p**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 0*d - a, -5*d - a - 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322 + 322. Let w(p) be the second derivative of k + 0*p**4 + 2*p - 2*p**2 + 0*p**3 - 1\/5*p**5. Differentiate w(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68643 and 2192661?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**1)\/v*((v*v**3*v*v)\/v)\/v*(v*(v*v**(-1\/3))\/v*v)**20)\/((v\/v**(-1))**(-13))**(-21) assuming v is positive.\nAnswer: v**(-1526\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (-6*-2*sqrt(13) + sqrt(13) - (sqrt(13) + sqrt(208) + -1)) + -4*((1*sqrt(104))\/sqrt(8) - sqrt(13))))**2.\nAnswer: -576*sqrt(13) + 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p + 2*p)*(2 + 3*p + p - 8*p) to the form k*p + z*p**2 + f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**3 + 2*u**2 + 9*u + 8. Calculate n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:39 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(16 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -3) + 21\/1. Suppose y = -v + 4*v + 8, 4*y - 5*v = d. Let g be (-34)\/(-51) - (-10)\/3. Solve -6 = y*s - g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2476888848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/56 + ((-522)\/(-48))\/29. What is the closest to 5\/2 in 3\/5, q, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 - 3695\/24. Let f = x + 5\/8. Which is the closest to f? (a) 1 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 149*u - 24 = -145*u, -20 = -2*g + 5*u. Solve -5*y + 4*h + g = -0*h, -5*y - h = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + k + 1. Let p be l(-5). Let t be (-2)\/5 + p\/15. Does 13 divide ((-2)\/t)\/((-4)\/(-192))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -550*l**2 + 2*l - 2*l + 955*l**2 to the form v*l + p*l**2 + y and give p.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/38005 and -57\/30404.\nAnswer: 152020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**13)*c)\/c**16 assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127361*g**2*m*u + 3*g**2*u**3 + 2*g*m - g*u**2 - 50*m*u - 2*m + 28*u**3 wrt g?\nAnswer: 254722*m*u + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 11*u - 2*u**2 - 7*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 26*s + 18. Give x(15).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 2253*u - 3*u**2 - 2*u**3 - 2 + 4*u**2.\nAnswer: -2*u**3 + 2253*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -2222?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371347 is divided by 53040?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1022 + 4?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 20, 18 = 4*r - 2*c. Suppose r*x + 53 = x. Let z = 104 + x. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2656651 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 3*x**2 + 10*x + 4. Let r be v(5). Let l(f) be the second derivative of 11*f + 7\/2*f**2 - 11\/12*f**r + 0*f**3 + 0. Differentiate l(i) wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.128?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/144 and -137\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111100111000101001 (base 2) to base 10\nAnswer: 249385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 98. Solve -t - 1 = 3*z + n, 5*z + 27 = -3*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 + 179. Let k = -394 - l. What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (613*w + 82950 - 82950)*(2 - 2 + 3*w**3).\nAnswer: 1839*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 divided by -89?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 73632, -3, 0.3, 1 in decreasing order.\nAnswer: 73632, 1, 0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435297654 a multiple of 5534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 16. Let x be p(-8). Suppose -s + 5 = -x. Solve a + 3*a + 2*f + 10 = 0, -3*a - s = -4*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03228 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:25 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52715.6 - 52715. Let m = -0.07 + -5.93. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 40 - 8*k**3 + 0*k**2 + 0*k**2.\nAnswer: -8*k**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/348 and -163\/60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/5 + 39*b**3\/5 + 2917*b**2\/5 + 20313*b\/5 - 88164\/5 = 0. Calculate b.\nAnswer: -31, -12, 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1314232 by 328558.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9875287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*115\/621?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517 = 35*g + 762 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248559508.\nAnswer: 2, 593, 104789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 15 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4 = 8*y - 4*y, 1 = -4*y - q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16376489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 + 252 = 0. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -36924*q - 110750. Calculate u(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2587918 (b) 3\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 8*i + 53. Let x = -86 - 4. Let p = i - x. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3534970824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -514 - -517. Which is the smallest value? (a) -22\/41 (b) v (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jjgigijfygww.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from aataqooqatqootqtaat.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 455*d**2 - 13*d + 10. Let i be s(-6). Let p be (-3 - 2) + i\/4. Suppose -15*w + 3598 = -p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8057 = 14*f - 108703. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138255689461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47590*n**2*p**2 + n**2*p + 25*n - 1026*p wrt p?\nAnswer: 95180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*u**3 + 3 - 3.\nAnswer: -653*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -13. Let z(h) = 16*h + 1. Let j be z(i). Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100010 (base 2) to base 10.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*l**2 + 165*l**2 + 48*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -76*z. Let d(g) be the first derivative of 2*g**3\/3 + 45. What is q(d(y))?\nAnswer: -152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3154 - 0.3154. Let u be (-21)\/34 + (-1)\/(-2). What is the second biggest value in -13, 2\/7, u, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/24 - 2\/12. What is the remainder when (-36)\/2*14\/k is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -540\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58820, -117642, -176460, -235268, -294060?\nAnswer: -352830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*v - 2, 10*z - 3*v - 6 = 13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.04, -7\/5, -5, 4, -0.4.\nAnswer: -5, -4, -7\/5, -0.4, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.1 - 6.1. What is the smallest value in 0.5, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (180\/16)\/(3\/16). Let j = 89 - c. Let v = 28 - 13. What is the remainder when j is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2 + 67878390*g - 35210816.\nAnswer: 2*g + 67878390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/13 - 10138*p**4\/13 + 65784*p**3\/13 - 141614*p**2\/13 + 116300*p\/13 - 30336\/13 = 0. Calculate p.\nAnswer: 1\/2, 1, 2, 3, 2528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 7, x: 6}. Give prob of picking 1 r and 3 x.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*x - 5*l, -l + 19434 = 10*x + 19475 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 319*x - 15848. Let b be o(53). What is the greatest common factor of b and 13061?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5752 - -17.403206.\nAnswer: 20.978406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107547 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 22*p**3 - 3*p**2 - 4*p - 7. Let x be w(4). Let d = -678 + x. List the prime factors of d.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**3 - o. Let w be v(-1). Let m = w + 3. What is the remainder when m is divided by (-6)\/21 + (-72)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.04859 kilometers in millimeters?\nAnswer: 33048590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -6 + (2 - -6) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 143264, 5, -69.\nAnswer: -69, 1, 5, 143264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) - 2*(sqrt(1100) + 2)) - sqrt(1100))**2*6 + 3 + 4*(sqrt(1100) - (2 + sqrt(1100))).\nAnswer: 480*sqrt(11) + 6691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12.6697.\nAnswer: -50.6788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((15\/3)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3234 = -2435*t + 2512*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 205080.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*j - 49 + 49 to the form q*j + d and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 46. Let n be h(-19). Suppose 6*u = 2*m + 3*u + 3, m - u - 1 = 0. Suppose -m*r - 98 = -n*r. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2339, -0.4, 4?\nAnswer: 2339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1)\/(8\/(-43520)). Let p be (-1)\/4 + 2715\/g. Let n = p + 40265\/19584. Calculate the common denominator of -119\/24 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 3\/19, -5, 4?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 942102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-80)*(-19 + 13). Put i, -2, 11 in increasing order.\nAnswer: -2, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 25. Calculate the remainder when 70 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -319 smaller than -319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/493*2\/(-8)*360\/(-990)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15*w**2 - 1631*w - 5882. What is j(-105)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 10*t - 7. Let r be u(9). Let x(o) = -8*o**2 + 0*o**2 + o**2 + 5*o**r. Let h(g) = 4*g**2. What is x(h(p))?\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o - 4*o + 6*o - 3*o + 0*o + (-o + 3*o + 0*o)*(-3 + 5 + 0))*(o + 40*o - 5*o).\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 3*q - 13 - 4*q**2 + 18 + 7*q**3 - 8*q**3. Let y = 12 - 16. Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -10, 1506*k + 55 = 13*a + 1504*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/3)\/(-3))\/(4\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/60 - 7*t**4\/24 + 5*t**3\/3 - 423*t**2. Calculate f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111010100001 (base 2) to base 9\nAnswer: -11672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/262 (b) -0.4 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 2*n + 14*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1367, 5\/57, 0.04, -0.3 in decreasing order.\nAnswer: 5\/57, 0.04, -0.3, -1367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 32*g**2. Let p(q) be the second derivative of 25*q**4\/3 - 10*q + 63. What is f(p(b))?\nAnswer: 320000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -7.6. Let b = 123.74457 - 131.745. Let u = j - b. Round u to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = 0, -5*o - y - 4*y = -30. Suppose 4 = 3*b - o. Find the second derivative of -152 + 6*j + 3*j**b + 152 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 17295 (c) 3 (d) -2\/3 (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 5*i**3 - 9*i - i**4 + 0 - 7 wrt i?\nAnswer: -12*i**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.157\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a58 - -3?\nAnswer: -4a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/8850 and 91\/1215?\nAnswer: 716850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -59 - 1. Suppose -2*b - 158 = -5*n, -11*n + 5*b = -k*n - 155. What is the greatest common factor of n and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21188?\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -10. Let o = n - -3. Let r be ((-3)\/9)\/(o\/21). Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 35 - -3 - ((16 - 26) + 5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199013.\nAnswer: 71, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 4)*(h**3 + 0*h**3 - 7*h**3).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68416 divided by 2138\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l - 47*l - 417 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286206.5 less than 261.5?\nAnswer: -1285945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13)*5)**2 + 5 + 5 + (2 + 0 + sqrt(13) - (0 + 1*sqrt(13))).\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41781 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: Let o(i) = -5*i**3 - 1. Let s be o(-1). Let j = 124300 - 74300. Suppose -w + j = s*w. Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -752*n*q**4 - 2*n*q**2 - 8*n*q + 924*n - 6*q**4 - 2 wrt q.\nAnswer: -9024*n*q**2 - 4*n - 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -47709360 divided by 268\nAnswer: -178020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -533*g. Let q(l) = -3*l. Give -c(u) - 3*q(u).\nAnswer: 542*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let q be 24 - (f + -3 - (-5 + 1)). Suppose -s + q - 12 = 0. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*a - 2*z + 7, -4*z + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24182, 24160, 24138, 24116, 24094, 24072?\nAnswer: 24050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21234159120 and -0.4.\nAnswer: 21234159119.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-2)\/(-6)*11 + 1\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623342174 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 1221?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 5891*a**2\/3 - 8524*a\/3 - 2624\/3.\nAnswer: (a - 656)*(a + 1)*(9*a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*v**4 - 112*v**3 + 71*v**2 + 87*v + 18.\nAnswer: -(v - 1)*(v + 2)*(8*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 198542*l - 2. Let f(b) = b. What is z(f(g))?\nAnswer: 198542*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.26869 years in millennia?\nAnswer: 0.08526869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -89685220 rounded to the nearest one hundred thousand?\nAnswer: -89700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:36 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(3) + -4) + -4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/5 + (-8)\/(-20). Let w be (-4 - -2)*(-1)\/d. Let u = 0.4 + -4.4. Which is the nearest to w? (a) -3 (b) u (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/9 - 4\/(-6). Find the first derivative of -b + 6 - 1 + 2*q**4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**4 + 66*k**3 - 8*k**2 - 168*k.\nAnswer: -2*k*(k - 6)*(k - 2)*(5*k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 2. Let j(a) = -2*a + 13. Let f(m) = -m + 6. Let l(u) = -5*f(u) + 2*j(u). Let p be l(8). Suppose 4*t + 4 = g, 0 = -2*t + p*t + 2. Determine x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22322446 (base 8) in base 14?\nAnswer: -8d8c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -35, 0, -2\/9, -0.1 in descending order.\nAnswer: 0, -0.1, -2\/9, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 930521 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 15 = 0. Suppose b*l = 4*f - 338, -2*l + 8 = -6*l. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697404436?\nAnswer: 2, 3, 24975967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027 * -1901.\nAnswer: 51.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -22*b**2\/3 + 248*b\/3 - 280\/3 = 0.\nAnswer: 14\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -o - 8. Suppose -17*g = 25*g - 298 - 80. Calculate the least common multiple of g and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2182663 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5951 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*g - 278*g = 104 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73924583 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: Simplify ((t\/(t\/(t*t**1))*t)**(1\/29)\/((t\/t**(-5\/2))\/(t\/(t\/(t*t**(1\/3)*t)))))\/(((t*t*t**(7\/5))\/t)\/t*t*t**(-1\/2))**14 assuming t is positive.\nAnswer: t**(-24067\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267291 and 564281.\nAnswer: 5078529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03102637 rounded to 4 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 - 110?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohit when four letters picked without replacement from {t: 5, o: 5, h: 1, a: 3, i: 6}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 4*r - 4*r)*(4 - 6 + 0).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 7. Let s(v) = 1. Let n(b) = h(b) - s(b). Let q be n(-6). Suppose 2*g = 10 - q. Sort g, 2, -2 in descending order.\nAnswer: g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -749370 - s**2 + 6*s**2 + 6*s**2 - 6*s**2 + 749657 as o + v*s**2 + g*s and give o.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k - 6. Let v be z(4). Suppose -4*p + 19 = 3. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -73, -152, -305, -556, -929, -1448, -2137?\nAnswer: -3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.2, -2\/25, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 367*m - 217. Let o be q(-74). Solve 2*n + 3 = -2*d + n, 5*d = -5*n - o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1347 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 58\/9 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bml when three letters picked without replacement from sbspllgggspbmbsgp.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 + (-15 - -19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15571 + -24574. Let q = j + 19040. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3575, 3541, 3457, 3299, 3043, 2665?\n\"Answer: -4*q**3 - q**2 - 3*q + 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -1) + (-4 + (21 - 8) - 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25977 - 25969. What is the smallest value in -3, l, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*d - 2982, 3*p = -2*d + 4*d + 4453. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2058)\/(-39102)*19*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13498, 26989, 40488, 53995, 67510?\nAnswer: 81033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81\/22 + 9\/11. What is the common denominator of u and 23\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -580300*f*g - 613168*f wrt g.\nAnswer: -580300*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(8)\/sqrt(2)) - (sqrt(19) + sqrt(1862)\/sqrt(2)))**2 + 4.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 664893323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7445 (base 9) in base 11?\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2431 and 2194772437?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -24, -6\/5, 0.05, -1.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9010\/(-5406)*(1 - 101\/95). Suppose -5*p = 4 - 29. Solve 2\/19*s**p + 0 + 8\/19*s**4 + 8\/19*s**2 + j*s + 12\/19*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.425, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ioiooooiiioiiiooio.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q + 4770 - 579 = 70*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(171) + (sqrt(228)*2)\/sqrt(12) + 1 - -1*(-4 + sqrt(1216) + -1))**2.\nAnswer: -234*sqrt(19) + 3292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12499 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 - 18*d + 8319. Determine t(-42).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -1\/5 (c) 2\/11 (d) -1\/4 (e) -4\/191 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -221. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**5 + w**2. Let k(z) = 11*z**6 + 6*z**5 - 15*z**2. Let v(q) = -6*c(q) - k(q). What is the third derivative of v(u) wrt u?\nAnswer: -1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 20. Let q = 4 - p. Let d(a) = a**3 + 7*a**2 + 6*a - 1. What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 867 * -0.2\nAnswer: -173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:40 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 16. Suppose 16 = -0*i - 4*i - 4*r, -3*i - 2*r - 17 = t. Let z be ((-3)\/i)\/((-3)\/6). Which is the third biggest value? (a) 4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-5.06\nAnswer: 0.5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/(-14) + 3\/(-21). Suppose -60 = 2*j - n*j. Calculate the lowest common multiple of 16 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-12 + 1 + 6 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-2))\/((-2)\/(5\/5)). Let i(p) = -p**3 + 3*p**2 + 11*p + 13. Let t be i(h). Solve -14 = 2*a - 2*g - 4, 0 = -2*a + 3*g - t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 12. Let z be 14 + 0 + (5 - 2). Let r = -20 + z. Put i, -5, r in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 8}. Give prob of sequence ggga.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:48 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5634984*h**4 + 4*h**3 + h**2 - 597835441 wrt h.\nAnswer: 22539936*h**3 + 12*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-20\/13)\/(z**2*z**(-1\/12)) assuming z is positive.\nAnswer: z**(-1613\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 1 (c) 3 (d) -67.72 (e) 0.04 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9242 by -2.\nAnswer: -4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 11*o**3\/2 + 20*o. Let z(b) = -22*b. Suppose 32*u = -623 + 463. Calculate u*t(n) - 8*z(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/4)\/(3\/6). Suppose 5 = 4*y - 5*z, z = y + y - s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 212.\nAnswer: 3\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:04 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576\/5*d**2 - 22\/5*d**3 + 0 - 104\/5*d.\nAnswer: -2*d*(d - 26)*(11*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/226041 and 12\/7?\nAnswer: 1582287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 23. Let t(s) = 2*s - p*s - 3*s**2 - s + 4*s. Let a(u) = u**2 - 5*u - 54. Let n be a(10). Let b(x) = 2*x**2 - 2*x. Calculate n*b(m) - 3*t(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - 14*w + 4. Let a(m) = -m**2 - 1. Let i = 6094 + -6098. What is i*a(v) - u(v)?\nAnswer: -v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80) - (sqrt(80) + sqrt(80)*1 + sqrt(80)))**2 + 5) - (sqrt(80) + (sqrt(80)*-1 - sqrt(80)) + 1 + (-2 + sqrt(80) - sqrt(80)) + -2 + sqrt(80))**2.\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 0, 0*j = j + 5*p + 3. What is the remainder when 31 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l + 10*l**2 + 2*l**3 + 17*l + 11*l + 10*l**2 - 21*l**2 in the form z*l**2 + i*l**3 + c*l + y and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 876.000000338 + -876. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180597 is divided by 107.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t + 2*d = 254, 5*d = -5*t + 315. Let b = 68 - t. What is the remainder when 28 is divided by 15 + -4 - (b\/2)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -112\/15, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 16196165*r**4 - 13115796133435*r**3 - 13115763741115*r**2 + 13115796133440*r + 13115779937280 = 0. What is r?\nAnswer: -1619616, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 3839 + 3834 - 7673.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -22*j - 2. Let y(m) = -m + 9. Let k(v) = -71*v + 48. Let a(s) = k(s) - 6*y(s). Calculate 2*a(h) - 7*u(h).\nAnswer: 24*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26396.6 and 0.3?\nAnswer: -7918.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7207133 is divided by 3414?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346998613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -185\/2. Which is the third smallest value? (a) 0.4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b. Suppose 0*i + 2*i = 0. Let p be s(i). Suppose v - 6*v = p. Solve -t + v = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -16*a + 14*a + a. Let m(z) = 2*z**2 - 2*z. Let o(t) = -6*k(t) + 3*m(t). Let d(u) = 5*u. Calculate d(o(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4893.1 and -63.\nAnswer: -308265.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 37 = -7. Let u(b) = -b**2 - 2*b + 5. Let n be u(p). Is 15 a factor of 0 - (-6)\/(-3) - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324108543 to the power of 1\/2, to the nearest integer?\nAnswer: 18003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 422532 + -204?\nAnswer: 422325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 12716?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 4, t: 1, u: 1, s: 7, x: 4}. What is prob of sequence stug?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*i - 4*d, -4*i + 0*i - 4*d + 32 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 317134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or -478?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6429*r - 6437*r - 6437*r + 19298*r. Let j(m) = 13*m. What is u(j(a))?\nAnswer: -65*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 0 (c) 0.1 (d) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 9*w**2 + 4*w - 2. Let g be a(-7). Let z = 110 - g. Suppose v = 5*d - 68, 5*d - v = 2*d + z. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94393.71 weeks to seconds.\nAnswer: 57089315808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-3 - sqrt(140))\/sqrt(7))**2 + 1 + (sqrt(20))**2 + 5.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -23. What is the tens digit of (3428 + 2)\/(2 - q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7 = 1755*a - 1754*a, -3*z + 2*a - 19 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 276*s - 8 + 1310*s.\nAnswer: 1586*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 32. Solve -4*s = -a + 5, -4*a - 7*s + v*s = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 + 3.2. Which is the fourth biggest value? (a) 4 (b) -2 (c) -0.5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 1979*v**2 - 1979*v**2 - v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {j: 2, l: 4, s: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450514301 (base 6) in base 8?\nAnswer: 105443075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**1*(i\/(i*i**0)*i)\/i**2*i\/i**4*i**0*((i*i**0)\/i)**(-3\/29) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 875*m**3\/3 - m**2\/2 + 2*m + 1. Let p be c(2). What is p rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 689.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 19*n**2 + 1. Let d be t(2). Suppose -17*l = -l + 27*l - 602. Calculate the greatest common divisor of d and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328985?\nAnswer: 5, 19, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/13))**(-35)*(((j\/(j*j**(-26)))\/j)\/j)\/j**10 assuming j is positive.\nAnswer: j**(287\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, d: 3, x: 2}. Give prob of sequence xdxu.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4019 is divided by 109.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:52 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -66. Suppose -u - 1 = 0, 3*r - 3*u + 7 = 2*u. Which is the nearest to m? (a) -2\/3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 3*i = 30*f - 53*f + 18, -8*i - i = -9*f - 54 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2618 (base 11) in base 13?\nAnswer: -1721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 1433*j - 1073. Give o(0).\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -3, 64, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2513 divide 442421189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/656595 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3 + 7456 + 15\/(-5) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/90*(-1)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -75, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**3 - 3*u**2 - 7. Let o = -8 - -10. Let t(f) = -6*f**3 - 2*f**2 - 6. Let v(j) = o*s(j) - 3*t(j). Find the first derivative of v(n) wrt n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 1.12.\nAnswer: -15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5693 + -5684. What is the second smallest value in -45\/7, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3562062, -7124127, -10686190, -14248251, -17810310, -21372367, -24934422?\nAnswer: -28496475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b + 4*b + 22*b + 54*b + 20*b - 3*b + 1 - 1 + (-2*b - 3*b + 4*b)*(5 + 1 - 4) - 4*b - 2*b + 4*b.\nAnswer: 92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l + 2. Let j(v) = 2*v**3 + 7*v - 5. Suppose -2*y = -2 + 4. Let w be (-1*2)\/(-2) + y. Let o be 1 - 6\/(1 - w). Determine o*q(d) - 2*j(d).\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**3 + 7*q**2 + q - 7. Let s(m) = 7*m**3 - 8*m**2 - m + 8. Give -6*a(y) - 5*s(y).\nAnswer: y**3 - 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + 2*(sqrt(171) - sqrt(171)*2 - sqrt(171) - sqrt(171)) + sqrt(171)))\/(sqrt(225) - (sqrt(225)*-2 + sqrt(225))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3421 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -58. Solve 8*q = d*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 24*o**2 - 4*o - 283. What is the thousands digit of w(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111000 - -1001011110110011?\nAnswer: 1001110001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -342049055 from -0.433.\nAnswer: 342049054.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00440035 and 0.12.\nAnswer: -0.000528042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**3 - 72*h**2 - 83*h - 18.\nAnswer: -(h + 1)*(h + 9)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m - 28*m - 12*m)*(m + m + m) + (-2*m + m - m)*(3*m - 3*m + 2*m) + (2 - 2 + 2*m)*(m + 7*m - 3*m).\nAnswer: -165*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 1\/3*h**4 + 0 + 4\/3*h**3 + 0*h = 0. Calculate h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 192 = -5*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:15 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2076\/1555?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -15, -32, -55?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056849 to five dps.\nAnswer: -0.00568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 25, -4, -83, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16097 and -0.12357.\nAnswer: 1989.10629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 7*n**3 + 2*n**3)*(4 - 16 - 7).\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/63 + 8\/18. Which is the closest to -3? (a) 1 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60206543.\nAnswer: 193, 311951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 4*t + 5. Let g(b) = -5*b - 2. Let z be g(-1). Calculate the remainder when o(-4) is divided by z\/1*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.946553 millimeters to meters.\nAnswer: 0.008946553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.93 + 0.8. Let s = -0.07 + y. Sort s, 2\/3, 0.\nAnswer: s, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l + 5. Let m(w) = -12*w + 33 + 41 - 16*w - 90. Let h(x) = 16*i(x) + 5*m(x). Let c(s) = 4*s. What is h(c(r))?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/((-72)\/(-9))*2\/(-4). Let h be 1*((-505)\/94)\/x + -1. Do 1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41104, -2, -1, 0, 3, 1.\nAnswer: -41104, -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 1005, 1003?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 156 = 72*k + 23*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 692893\/28434 + -23\/2031. Let j = i - 4255\/154. Calculate the common denominator of j and 75\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28670049, 57340100, 86010151, 114680202, 143350253?\nAnswer: 172020304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4.5 (b) -1\/7 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-2090)*-11*(4 + 10\/(-40))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*q + 1 - 13, -5*x = -2*q - 15. Let h = 210 - 202. Let c be 2\/h*10 - 42\/28. Solve -x*w + c = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -85, -126, -169, -214?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**6\/15 - 7*s**2\/2 - 5*s. What is the first derivative of m(t) wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 2. Let v(i) = 3*i + 2. Let f be (5 - 1 - 52\/8)*2. Determine f*y(x) - 4*v(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 2\/5, 3, 909, 23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17247 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 67088065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 1. Let w(k) be the first derivative of k**2\/2 + 17. Give r(p) + 4*w(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458258?\nAnswer: 2, 3, 7, 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 4*n**3 + n**3)*(210*n**2 - 371*n**2 - 2 + 2).\nAnswer: 322*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -86c (base 15) in base 4?\nAnswer: -131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 92 = 2*h, -c + 4 = 0. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, a: 1}. What is prob of sequence mb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 6, 5*x = -3*v + 19. Suppose -147790 = -x*m - 547790. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(12\/11)\/((l*l**11)\/l) assuming l is positive.\nAnswer: l**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 11*k**2 + 6*k**2)*(-213 - 116 + 35).\nAnswer: 882*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 3*k**4 + 2*k**4)*(-3*k + k + 4*k) + (-2*k**3 - 4*k**3 + 4*k**3)*(2*k**2 - 6*k**2 + k**2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10842, -21143, -31440, -41733, -52022, -62307?\n\"Answer: 2*h**2 - 10307*h - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -4*j, -j + 5*n - 15 = -4. Solve -3*s + 4*x - 2*x = -9, 0 = j*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sao when three letters picked without replacement from qsaor?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + d**2 + d**3 + 2*d - 4*d**2 + (0*d + d + d)*(5*d**2 - 3*d**2 + 3*d**2) + d - 2*d**3 - d to j*d + n*d**2 + i + k*d**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-322176288690845)\/24015275760 - (-4)\/14. Let v = 2\/42884421 - r. Let u = v + -13409. Calculate the common denominator of 45\/8 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1004\/8245 - -2\/485. Let s = -9\/22 + -12\/11. What is the nearest to -1 in s, t, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h**2 - 2*h + 34. Let m(y) = 7*y**2 - y + 19. Let t(j) = 3*l(j) - 7*m(j). Give t(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19744 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1419 + 738 - n**2 - 442 + 596 in the form v*n + o + u*n**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -1 + -2 - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 20 = -4*o - t, -t = -o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.000116 + -90. What is w rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1303\/4 + 326. Let h = 0.03 + 6.97. Which is the second smallest value? (a) s (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 1, -3\/340?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*b - 299*b = 2*m + 8, m - 4*b - 1 = 0 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 8*l**2 + 25)*(-307*l**2 - 310*l**2 - 64*l**2 - 17*l**2) in the form h*l**4 + u*l**3 + z*l**2 + w + g*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Determine i, given that 1\/2*i + o + 1\/4*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5064 + 8841. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 780 - 342 = 0. What is the greatest common factor of 1428 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136827, -136822, -136813, -136800, -136783, -136762, -136737?\n\"Answer: 2*d**2 - d - 136828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 5. Let j be k(-6). Suppose z - j = -3*z - 5*i, -4*z = -4*i - 32. Calculate the remainder when 24 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + s - 73 = 0, 49*d + 4*s = 48*d + 10 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - h**2 - h**2 + (-4 - h + 4)*(h - 4*h + 2*h) - 2*h**2 - 4 + 4 + 3 - 3 + 6*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 3. Let f be d(7). Let a be (f - (-2 + 2)) + 1. Suppose 0 - 6\/5*m**2 - 2\/5*m - 6\/5*m**3 - 2\/5*m**a = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-4)*(-16)\/6. Let r = -8 + 12. Solve -r*x + 0*j = -4*j + 16, -5*x - j - n = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*k + 5*n - 5, 0 = -k - 4*n - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3301589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 l when three letters picked without replacement from zlllllllzolllazzl.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1352 + 2698 + 9*u - 85*u**2 - 1346)*(3*u + 7 - 7) in the form n*u + k*u**3 + b + r*u**2 and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - a - 6, -g - 3 = 3*a - 5*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33650.\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -74. Solve 4 = -5*r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262968387.\nAnswer: 3, 11, 167, 47717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.05. Let p = -0.1 + i. Let q = 3.65 + p. What is q rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009243443 to 6 decimal places.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268 by -4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 9. Let f be t(3). Suppose f = 5*k - 0*k, 0 = -3*a - 2*k. Solve 2*i - 6 = -m, a = -i + 1 + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(5))\/sqrt(2) - sqrt(6)\/(sqrt(9)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22324*(12\/16 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3915948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 3 - 9*a + 0*a**3 + 2*a - a**3 - 2*a**2 + 15*a. Let z(i) = -i**3 - 8*i**2 - i - 11. Let d be z(-8). Give b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 26 = -4*c, -3*c + 41 = 4*t + 20. Suppose t*d + 45 + 63 = 0. Is d smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*(2 + sqrt(72) + sqrt(72) - sqrt(2)))**2 - ((sqrt(64)\/sqrt(4))\/sqrt(8) + 4 + sqrt(2) + (sqrt(32))**2)) + -2.\nAnswer: 1098*sqrt(2) + 6108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(1\/4)*i)\/(i*i**0))\/(i\/(i*i*i\/i**(-1\/2)))**(-4))\/((i**(-3\/2)*i**5)\/(i**(1\/2)\/i**(2\/17))) assuming i is positive.\nAnswer: i**(-841\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29585 + 29588. Let c(z) be the second derivative of -1\/3*z**6 - 2*z - 1\/15*z**5 + 0*z**2 - 3\/7*z**7 + 0 + 0*z**4 + 0*z**y. What is g in c(g) = 0?\nAnswer: -1\/3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 84 = -h, h + 67 + 9 = 5*z. What are the prime factors of z*(-3 + 50\/16)*46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 10*s - 800, -37*s + 704 = 3*t - 39*s. Solve 42 = 33*n + t for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*m = 852653 - 845534 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 310 - 309 - 2*m - m**2 to the form o*m + h*m**2 + x and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -8 (b) -2 (c) 67 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14617 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: Suppose -2*f - 2*z - 2 = 0, 4*f - 5*z + 30 = -1. What is the tens digit of (2\/f)\/(3\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3. Let f be v(1). Suppose 0*h - 12735066 = -f*h. Suppose -h = 5*a + 5704978. What is a rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + 4 + -6*(0 + sqrt(13)) + -5.\nAnswer: -5*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*h**2 + 22*h**3 + 117*h**2)*(44 - 25 + 82)*(0 + 2 - 4) to z*h + w + x*h**2 + q*h**3 and give q.\nAnswer: -4444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013721 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*k = -27344, 2*i = 13*k - 8*k + 13666. Calculate the highest common factor of i and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1421*h**2 - 7*h - 37. What are the prime factors of f(-5)?\nAnswer: 3, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/12 - 5*q**3\/6 + 3*q**2 + 25*q. Let v be n(3). Factor h**4 + v*h + 6*h**3 - 3*h**3 - h**3 - 2*h - h**2.\nAnswer: h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pksspk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -12. Let c(y) = -y + 5 + 2*y + 0*y. Let d(i) = 2*i + 9. What is u*c(a) + 3*d(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/5 - 5888*a**2\/5 - 472640*a - 28224000 = 0. Calculate a.\nAnswer: -700, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 68 = -14*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 6*n**2 + 3*n + 1. Let y(g) = 6*g**3 - 17*g**2 - 8*g - 3. Give 17*h(k) + 6*y(k).\nAnswer: 2*k**3 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3144224300?\nAnswer: -3144224310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*w + 62 - 16, 0 = f + 5*w + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5779*v**2 + 138*v - 288. Let q be f(-46). Round q to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:30 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 128*s**2 + 52 - 23.\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (95*j - 15*j + 2*j)*(6*j - j - 4*j)*(6*j - 3*j + 3*j) in the form c*j**3 + i*j + q*j**2 + r and give c.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1025851*l**4 + 7*l**3 + 20534639*l**2?\nAnswer: -24620424*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = 4*b, 5*o - 3*b = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/13, -0.1, -8093, -0.3, 2\/15 in ascending order.\nAnswer: -8093, -0.3, -0.1, 2\/15, 53\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**3*q*q)\/q)**26)**(-4\/19) assuming q is positive.\nAnswer: q**(104\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 4*r + 8479, 0 = -4*p - 2*r + 33874. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50423726 times -2?\nAnswer: 100847452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 0, -4*z = 4*r - 12 - 16. Let t = z + -3. Suppose -p + 3*k = 0, -2*k = 4*p - p. Solve p*v - 2*v = -t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -94141.\nAnswer: 84726.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 335 + 41. Solve 0 = -71*d + 22*d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/4248230079?\nAnswer: -2\/4248230079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -4*o**3\/3 - 2*o**2 - 10. Factor m(u).\nAnswer: -4*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j**3 + 3*j)*(-4*j + 6*j - j) + 488*j**4 - 506*j**4 + 5*j - 3*j**2 - 2*j**3 - 6*j.\nAnswer: -13*j**4 - 2*j**3 - 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.67 + -0.57. What is the closest to -2 in 1\/5, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 47, 28, 9, -10?\n\"Answer: -19*b + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37504?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*d**2 + 2)*(2*d + 4*d - 3*d)*(-3 + 0 + 1)*(-1 - 2 + 6) as u*d + t + x*d**3 + o*d**2 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 281933852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1*300\/(-500). Let b(u) = 5*u**2 - 2*u - 3. Give b(f).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135.1 - -129. Let m = -4.1 - d. What is the nearest to 0 in m, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + p**3\/3 - 5*p**2\/2 + 4*p - 23. Determine g(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3\/7)*t*t)\/(t*t*((t**(-1\/2)*t)\/t*t*t)\/t))\/(t**(-1\/11)*t*t**(-7\/4)\/t))**(1\/22) assuming t is positive.\nAnswer: t**(589\/6776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -372, -743, -1112, -1479, -1844, -2207, -2568?\n\"Answer: s**2 - 374*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -0.4, 0.382, -2, 9\/8, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(273\/26))\/((-49)\/(-3822)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h**2 - 3*h**2 + 4*h - h**3 - h - 2. Let b be m(-7). Let v be (-2)\/4*(0 - b). Solve 3 = -2*g + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*l - 26, -3*l - 53 = -5*w + 116. Suppose 33*x - 9*x = 168. What is the remainder when w is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*i**4 + i**3*u**2 - i**3 + i**2*u**2 + 9*i**2*u wrt i?\nAnswer: 3912*i + 6*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2635975 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*o + 0)*(-23*o + 6*o - 27*o) - 4*o**2 - o**2 + 15*o**2 to s + r*o + y*o**2 and give y.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -1521, -2278, -3033?\nAnswer: -3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.2 (b) -5 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, u: 3, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*i + 8 = 0, i = -5*r - i - 8. Let p be (r + 4\/8)*80. Suppose -38 - p = -3*g. Calculate the highest common divisor of g and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 3451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 0.2, 5, 17, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -39*h - 3. What is n(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20898 divided by -258\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 41*o = -45*o - 3954, -11926 = -3*h - 4*o. Suppose -5*b - 659 = -v + 1300, 3*b - h = -2*v. What are the prime factors of v?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + b + 0*b + 2. Let v(c) = c - 3. Let i = 6 + -9. Calculate i*v(n) - 4*j(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2)*w**(-7)\/w)\/(w**(-3\/2)\/w*(w\/((w*w**(-1\/9))\/w))\/w))\/((((w**(-3\/4)*w)\/w)\/w*w**3)\/(w**(-4)*w*w**(3\/5))) assuming w is positive.\nAnswer: w**(-1667\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q**3 + 0 + 7\/40*q**6 - q**2 + 4\/35*q**7 + 1\/10*q**5 + 0*q + 0*q**4 + 3\/112*q**8. Factor f(y).\nAnswer: 3*y**2*(y + 1)**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1914 and (20\/(-8) - -2) + 3745*7\/70?\nAnswer: 32538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*p = 128*p + 65. Solve 2*d = -3*m - 3 + p, -14 = -5*d - 3*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7244021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 11*w**2 - 6*w - 8. Let i(k) = -k**3 + 18*k**2 + 11*k + 17. Calculate 3*i(m) + 5*j(m).\nAnswer: 2*m**3 - m**2 + 3*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**3\/6 + 5*q**2 + 14*q. Let y be u(7). Let w be (0 + -1)*(-2)\/(-2). Sort -4, w, y in decreasing order.\nAnswer: y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63235\/2 or -31619?\nAnswer: -63235\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d - 300 = -203 + 293. Put -1, -3, d, 4 in ascending order.\nAnswer: -3, -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-0.025.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 578073487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 1, s: 12}. Give prob of sequence iss.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:56 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 5 in ascending order.\nAnswer: -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -22*z + 10. Let x(n) = -8*n + 3. Give -3*a(h) + 8*x(h).\nAnswer: 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 32. Let i be x(-6). What is the tens digit of 18*((-144)\/(-14) + 4\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201\/4 + 50. Let h(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - 15*s**2\/2 - 86*s. Let y be h(-2). Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67\/228 - -3\/76. Factor 0*k + 0*k**2 + 0 + 1\/3*k**3 + 0*k**4 - j*k**5.\nAnswer: -k**3*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ff8e + 0?\nAnswer: -4ff8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 3.9 (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 35*t + 13. Let a be j(-17). Let b be -6 - ((-12)\/a)\/(2\/30). Solve b = -0*i + 7*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 0, -16, 2\/283, 12\/161?\nAnswer: 12\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxxh. Give prob of picking 1 h and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-27) + ((-8)\/63)\/4\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 16. Suppose -v*k - 3 = 45. Let s(y) = y**2 + 5*y + 3. Give s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 10.7. Let m = -0.327 + 0.027. Let z = -0.128 + 0.128. Sort z, d, -5\/2, m in decreasing order.\nAnswer: z, m, -5\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103924.567 rounded to the nearest one thousand?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 113. Suppose 4*x - 3*x = 0. Which is the closest to 0.1? (a) 5 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450121222 + 21?\nAnswer: -450121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341055 = -10*t - 3*t. Differentiate 75*f**3 + 2 + 26235*f**2 + 4 + 19 - t*f**2 with respect to f.\nAnswer: 225*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(22\/(-10) + 2). Let l = 5705 - 5700. Solve -l*b = -6 + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362860 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*g = -14756 - 59612 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1585*b**3 - b**2 + 4*b - 29. Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12262396\/133 - 92198. Find the common denominator of 66\/95 and j.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-12)*4\/(-14)*-2. Let j = -11.6 - -6.6. Which is the nearest to u? (a) -3\/4 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6392 - 12745. Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 - 234*o**2 - 4425*o - 7938 = 0. Calculate o.\nAnswer: -49, -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/10 - m**4\/12 + 7*m**3\/6 - 15*m**2\/2 + 11*m - 287. Determine r(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 8 = -4*t, -2*i = -4*t + 8. Solve 5*s = -15, -a - 10 = a + t*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 - (-4)\/6. Let w(t) = t. Let m(n) = n - 1. Let k(s) = a*m(s) + 6*w(s). Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 + 16 = -4*g, -1 = -2*g + r. Is (-1059)\/(-6)*(1 + g + 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 11*n + 2. Give i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -106459.0804 to the nearest 1000.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1058 + 1771. Let u = -174 + j. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-7\/3))\/r*(r**(-4\/3)\/r)\/r)\/(r**8*r\/(r\/(r**(-5)\/r*r))*r))**(17\/5) assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -316.0056 times 0.4\nAnswer: -126.40224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5600466.12 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4 - 3 - 13*v - 4 - 2*v**3 + 19*v**2 - 6. Let l(x) = -x**3 + x + 1. Let g(b) = 3*k(b) + 15*l(b). Solve g(o) = 0 for o.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 2138.\nAnswer: -8552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*d - 8, -2*h - 3*h + 2*d = -17. Suppose h*a = 6*a. Suppose a = -x + 2 + 5. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1822 + 5766 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -11.4. Let r = 107 - 106.9. Sort 2\/5, -1, r, d in descending order.\nAnswer: 2\/5, r, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16983 <= 16982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -21*d**2. Let j(v) = -28*v**2. Give j(o(f)).\nAnswer: -12348*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 + 18*i + 3. Let a be j(6). Let z(v) = 20 + a*v**2 + v + v**3 - 17 - 5. Let s(y) = y - 9. Let c be s(7). Calculate z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7361 is divided by 179?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 + 9*d. Let i be v(-9). Which is bigger: i or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -491767\/18 - -27312. Calculate the common denominator of 67\/12 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2800604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/4)\/(7\/(-364)))\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794 + 0.079.\nAnswer: 794.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(4\/10)\/(328\/3690).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 30.01. Let r = i - 0.010204. Round r to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -1\/7, -1, -2\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302.0879 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 4, y: 2, c: 1, k: 1}. What is prob of picking 1 c, 2 n, and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y + 370. Let m(f) = 8*f + 185. Calculate -10*m(c) + 6*z(c).\nAnswer: -2*c + 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6))\/f**10 assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155940930*l + 568588430 wrt l.\nAnswer: -155940930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62918 and 30?\nAnswer: 943770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9241, -9207, -9173, -9139, -9105, -9071?\n\"Answer: 34*n - 9275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119285302 to the power of 1\/3, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 2, c: 4, r: 2}. What is prob of sequence pyp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906*d**2 + 1886*d**2 - 923*d**2.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiii when four letters picked without replacement from {i: 4, a: 8, r: 1}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -111\/4. What is the nearest to d in -4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56348, -56385, -56426, -56471?\nAnswer: -56520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/9 + -29\/90. Let l = -7270 + 7266.943. Let v = 0.057 + l. What is the nearest to 2 in a, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 + 6 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*s + 1218 - 390*s + 764*s as j*s + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-29)\/(406\/28))\/(1\/(-2)). Suppose 0 = -3*r + 2*c + 3103, i*r = -c + 1987 + 2154. Calculate the greatest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*j - 18 = 0, 2*t - 18 = j - 6*j. Let q(s) = 2*s**2 - 21*s + 17. Let l be q(t). Let h(x) = x + 4. Give h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**41\/(g*g**(-10\/7))*(g\/g**(-1\/7))\/g*g*g**(19\/5) assuming g is positive.\nAnswer: g**(1623\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 3)*(s - 2*s + 0*s) + (0*s + 0*s - 2*s)*(3 - 5 + 3) + s - 2*s - s + 4*s - 2*s - s)*(17 - 24 - 6) as h + c*s and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 47314278?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 90895.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 8. Let l be o(-8). Let v be (4 - 2 - 3) + 5. Solve -2*i + 3*d - 6 = -l*d, -3*i + 2*d - v = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*8\/(-264)*2*(132\/21 + -6)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*n = 31*n - 340020. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 + q - 28. Calculate k(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178\/(-1068))\/((-1)\/6*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.0403 (b) -2\/7 (c) -1\/4 (d) -3\/7 (e) -4 (f) -17.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**2 - 1 - 31*u**2 - 39 + 39 + (1 - 2*u - 1)*(2*u + 0*u + 0*u) + 4*u**2 + 2*u**2 - 5*u**2 as w*u**2 + d + h*u and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -251, -2086, -7075, -16796, -32827, -56746, -90131?\n\"Answer: -263*k**3 + k**2 + 3*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11609.\nAnswer: 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 357376 and 0.39.\nAnswer: 139376.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27247 (base 8) to base 13\nAnswer: -5589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 190*s. Let x(t) = 236 + t - 236. Determine x(b(i)).\nAnswer: 190*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 33\/2 - 3\/2*o**2 + 15*o = 0. Calculate o.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -6*j - 157 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a9 + 13?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/141*(-3)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*t - 15 = 13, 0 = -4*j + 4*t + 48. Solve -a = -3*a + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25613 and -896422\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1013*a**6 - 1738*a**4 - 46177829*a**2?\nAnswer: -121560*a**3 - 41712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3010 = -74*l + 67*l. Let z = -64 + l. Which is greater: -1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 940\/3339 - -2\/477. What is the second smallest value in -2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5000381 and 1.4341?\nAnswer: 5000379.5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + (-22 - (12 + -30)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 0 = -a*x + 7 + 13. Suppose 3*g = x*s + 24 + 129, -5*s = -5*g + 265. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 4*t - 14. Let z be c(2). What is the hundreds digit of z\/(-10)*2 + (-1 - -378)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9156.\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, -3\/16, 1\/3, -4 in increasing order.\nAnswer: -4, -3\/16, 0.33, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321001032 (base 4) in base 2?\nAnswer: -1111001000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - t**3 - 5*t**3)*(0 + 0 + 1) + 0*t**3 - t**3 + 2*t**3 + (-t**2 - 1 + 1)*(0*t + 4*t - t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 1. Let b be c(-2). Suppose 6*y - y = b. Is y <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1543 + 597 - 3120)*(1 + 1 + 2)*(-4*j + 6*j + 4*j).\nAnswer: -23520*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267487361 is divided by 144?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -5 (c) 332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -26*x**3 + 14 + x - 13*x**2 + 3*x**2 + 25*x**3. Suppose -o - 20 = o. What is the units digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-6))\/((-4)\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:31 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1433, -1425, -1415, -1403, -1389?\n\"Answer: b**2 + 5*b - 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/15 + 44*h**2\/15 + 14*h\/5 = 0. Calculate h.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + 16. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 - 0?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/32 + -4 - (-4)\/48)*(-315)\/(-168).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose -4*d - n = q*n - 3, d + 3*n = -1. Suppose 2*k - 22 = d*o + 4, 4*k - 61 = -5*o. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**2\/2 - 115189898*t - 8532585\/2.\nAnswer: -(t + 8532585)*(27*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 16*w + 4. Calculate the remainder when 593 is divided by l(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.68? (a) 136 (b) 0.2 (c) 4 (d) 1 (e) -14 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, 0.4, -2, -6\/17, -0.5, -3 in increasing order.\nAnswer: -3, -2, -0.5, -6\/17, 0.4, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*(-154)\/88*216\/(-1638).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 3.93. Which is the nearest to -0.1? (a) -5 (b) v (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 0.3 (b) 20 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 77.51737 millennia?\nAnswer: 930208.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3) + (11867 - (-2 - -2)). Suppose -19*g + j + 48 = 0. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from {v: 1, c: 2, z: 3, y: 1, q: 3, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2220203 + -164?\nAnswer: 2220017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57660 or 57658?\nAnswer: 57658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - -65976?\nAnswer: 66021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 73*p**5\/60 - 10*p**4\/3 + 53*p**2. What is the second derivative of c(j) wrt j?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, 2, 5, -7 in decreasing order.\nAnswer: 21, 5, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 4*w**2 - w**4 - 2*w**2 + (0*w**3 - w**3 - w**3)*(-3*w + 5*w - 3*w) - w**4 + 2*w**4 + 2*w**4.\nAnswer: 2*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8925.155 milligrams to micrograms.\nAnswer: 8925155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -69*g**2 + 3. Let j(y) = y**2. Give t(j(f)).\nAnswer: -69*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v + 3. Let l(t) = -2*t**2. Calculate k(l(x)).\nAnswer: 26*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 133, 203, 275, 349, 425, 503?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36\/5 + 103\/15. Let i be (-3625)\/9135 + (-2)\/(-18). What is the smallest value in b, -5, i, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 1763*n**2 - 484*n**2 - 7*n**3 + 2*n.\nAnswer: -7*n**3 + 1279*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399275?\nAnswer: 5, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9456324 divided by 788027?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 - 5. Suppose -2*f = -0*f - 4*n + 16, -5*n + 22 = -3*f. Let h be l(f). List the prime factors of (-2)\/h + 2190\/66.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 20666507*z**3 - 8*z - 11*z**2 - 3*z**2 - 20666539*z**3.\nAnswer: -32*z**3 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -39*r**3 - r**2. Give s(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11751\/23 - -511. What is the closest to 1 in -0.04, 4, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22102010 (base 3) to base 2.\nAnswer: -1011111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 44. Let y = 4 - 1. Suppose 0 = y*a - 150 + z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 4*x**2 - 30*x - 3. What is the tens digit of s(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3233508 is divided by 1616693?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -264610916 divided by -7782674?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-36))\/(39\/(-98228)). Let s = h - 627. Let -s*w**4 - 25\/3*w**3 - 8\/3 - 38\/3*w**2 - 1\/3*w**5 - 28\/3*w = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 539\/196*(-8)\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*t - 11, -3*v - v = -2*t - 2. Let x(d) = -d**3 + 5*d**2 + 3*d + 1. Calculate x(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*s - 34 - 17, -219*s + 438*s + 2*q = 220*s - 15 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221201 - -3?\nAnswer: -221132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*o, 3*o - 2049*m = -2044*m - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, 1 v, and 1 k when four letters picked without replacement from llalllovvkvhkllhl?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 560151898?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2*q + 9. Let g be v(4). Solve j - 3 - g = -3*y, -4*j = -y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 - 18*q**2 - 111*q + 441. What is n(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = -34*l - 470. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -y + 12. Let t = 0 + y. Suppose g = t*g - 18. Solve g*h + 17 = 4*w, -h + 3*h - 4*w + 14 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1127809 - -1127811. Factor -158\/3*m - 104\/3 - m**d.\nAnswer: -(m + 52)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 1\/2, -3, 0.6 in descending order.\nAnswer: 0.6, 1\/2, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 3*a)*(1 - 3*a + 5*a - 3*a)*(-19 + 54 + 5) as b*a**2 + o*a + z and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*z - 4*r, z - 4*r + 24 = 9. Let j = -23 - z. Solve -2*x + j*x + 30 = 5*m, x = m - 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6498 and 61\/5016?\nAnswer: 285912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51447408*l**2 - 22*l - 250611?\nAnswer: -102894816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50 + 6 + 11 - 6*p + 13 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9145844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1, -0.2, -33.469?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 10*v**2 + 41*v - 10. Let o be t(10). Let x = o + -1999\/5. What is the closest to -0.1 in 1\/2, -5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680732 and 95?\nAnswer: 3403660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*k + 3*v - 1144, 0 = 5*v - 10. What is the greatest common factor of k and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17034 divided by 6?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 188432669 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/109013 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 - 0.38. Let y = 37797 + -37796.8300045. Let o = n + y. Round o to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 - 1)\/(-6) - -189. Let r = -186 + k. Solve -r*m - 2 = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6379458840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 4:27 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)*24\/16. Let g(w) = -w**3 + w**2 + 4*w + 6. Does 6 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 6. Let s be (8 - (-1 - x)) + -1. Suppose -l + 28 = -5*a, s = -5*a + 1. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 4. Is (202\/b)\/(1\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 4*d + 23, -t + 19 = -5*d. Let f = 78 - t. Suppose 3*m - f = 44. Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2019 + -1256. List the prime factors of r.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 3928*p**2 + 580548*p + 232848 = 0 for p.\nAnswer: -2\/5, 198, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**5\/120 + w**4\/6 - 4*w**3\/3 + 2. Let a(i) be the third derivative of p(i). Differentiate a(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118820 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3)*(168\/(-35) + 6). Suppose 3*f + r = 3*r + 88, 2*f - d*r = 60. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ryyrnynyykykyyw.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/23 + 88046*y\/23 - 704240\/23.\nAnswer: -2*(y - 44015)*(y - 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10263044 less than or equal to 10263044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4936 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2688 = -5*p, -14*c + 18*c = 4*p + 2724. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 9:03 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 328385887 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 69. Let l = -121 + 125. Suppose -3*x + 28 - 297 = -l*b, 0 = y*b + x - 137. Calculate the highest common divisor of 51 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 407, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -37*t + 111. What is the tens digit of y(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (-105 + 43 + 94)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:24 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h\/h**(-16))**(1\/21) assuming h is positive.\nAnswer: h**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:39 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 118*f. Let n(y) = -4*y + 2. Let t(q) = 12*q - 8. Let p(o) = -4*n(o) - t(o). Determine p(b(u)).\nAnswer: 8*u**2 + 472*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) - (-6)\/(-4). Let r(p) be the third derivative of b*p + 1\/12*p**4 + 1\/3*p**3 + 0 + 2*p**2. What is the first derivative of r(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**7\/840 - d**6\/72 + d**4\/4 - 4*d**3 - 8. Let g(l) be the third derivative of b(l). Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 1, 123, -2\/9, -5 in descending order.\nAnswer: 123, 59, 1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20680454 or -20680439?\nAnswer: -20680439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -7, -3, 5, 4, -5, -47 in decreasing order.\nAnswer: 14, 5, 4, -3, -5, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11348, -40, -210.\nAnswer: -11348, -210, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2756 = 3*q - 4*c - 58, -4*c = -q - 894. Let p = q - -2049. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -2\/51, 0.06 in decreasing order.\nAnswer: 0.3, 0.06, -2\/51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9638, -19971, -30304?\nAnswer: -40637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) -4 (c) 7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814955 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 2) + 2 + (-24 - 12) + 22.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**2*y - 5570319*w**2 - 2950281*y wrt y?\nAnswer: 3*w**2 - 2950281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 27*a**2 + 0*a**5 + 1\/3*a**6 + 0*a - 29\/4*a**4 + 186 - 1\/3*a**3. Find the third derivative of d(h) wrt h.\nAnswer: 120*h**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - p, -p = -5*o + 27 + 17. Let y(z) = z**3 - 7*z**2 - 16*z + 30. What is the smallest common multiple of 1*(-2 - 1) - -5 and y(o)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -2, 1 in descending order.\nAnswer: 12, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248482.\nAnswer: 2, 13, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.000072. Round j to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 44 in descending order.\nAnswer: 44, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 1. Let r = -0.366 + g. Let o = -0.099 - r. Round o to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114340 less than -0.022?\nAnswer: -114340.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7316*z**3 + 6987*z wrt z?\nAnswer: -43896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/11 + 2*m\/11 - 4\/11 = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -486223 times -0.1\nAnswer: 48622.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*x + 16. What is the lowest common multiple of x and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let f(q) = -2*q + 16. Let z be f(7). Suppose -4 = -z*r, 2*b - 3*r + 8 = 3*b. Solve m - 6 = -b*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 99\/5 - 1\/(-5). Suppose -4*u = -4*j + b, 4*u = -5*j - 0*u + 25. Let y = -11\/4 - -3. What is the third biggest value in -0.1, y, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 2*i - 3. Determine m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 25*s**2 - 27*s + 17. Let p be x(-24). Let i be (0 + 4\/(-2))*p*-1. Let z = i - 115. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -35*i**3\/6 - 27348395*i**2\/6 + 236373415*i\/3 - 66419000\/3 = 0.\nAnswer: -781400, 2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - sqrt(121)*1*4)\/(sqrt(44)*3 - sqrt(11)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183565\/114984 - -5\/6388. Find the common denominator of 59\/33 and k.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/6)\/(990\/(-108) + 9). Sort -19, u, 0, 1 in increasing order.\nAnswer: -19, u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhehjajhccajeceaj. What is prob of sequence jh?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d - 12*d - 11*d + 4 - d**2. Let p be r(0). Let l(j) = -2*j**2 + 7*j - 4. What is l(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99572 and 24893.\nAnswer: 99572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {u: 2, c: 4, y: 3, f: 1, n: 3, s: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.24063144 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11230931 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**8)**(-2\/21)*(b\/b**(-10))**(3\/4))**25 assuming b is positive.\nAnswer: b**(2675\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 7*c + 24. Let g be i(6). Let x = -104 + g. Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from xivcu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -7936*n**3\/3 + 3355*n + 809. Differentiate c(i) with respect to i.\nAnswer: -15872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3617, -36, 15 in increasing order.\nAnswer: -3617, -36, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*w - 2*w - 2966 = 0, -4*i + 5928 = -4*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-10 - (21 - 5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11816303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, n: 1, u: 9, t: 1}. Give prob of sequence tqn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 7*z**3\/6 + z**2\/2 + 22*z. Suppose -4*b + 5*m = -21, -4*m - m - 24 = -b. Give d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1289059\/70 - 18415. Find the common denominator of (-81)\/20 + 2\/(-4) and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 3111*x + 3112.\nAnswer: -(x - 1)*(x + 3112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2)*9\/90*(-30)\/18.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 17*q - 1. Let h(m) = -m**2 + 16*m - 2. Let w(z) = -3*d(z) + 4*h(z). List the prime factors of w(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (0 + -3) - -3. Suppose -p*d + 13 = 5*c, -4*d + 7 = -2*c + 33. Is c\/(-2)*60\/(-25) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2094 + -2093.99. Let j = 4.39 + 0.01. Let k = j - 1.4. Sort 4, -0.5, k, l in descending order.\nAnswer: 4, k, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -175\/2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t - 135 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 2}. What is prob of picking 1 h and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-437)\/171 - 6903\/299.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-182) + 1042\/13. Let f be (-11 - -1) + 1 + 0. Let p = 19 + f. Calculate the greatest common factor of h and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 + -10 - 2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.127, -2, 0, 323, 180, 0.2?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1 + 52*b**2 - 40*b**2 + 324*b - 328*b. Let n(i) = 11*i**2 - 3*i + 1. Calculate -3*a(g) + 4*n(g).\nAnswer: 8*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4592*c**4*d**2*g - 2*c**3*d**2 + 2*c**2*d**2 - 11*c**2*d*g + 32*d**2 wrt c.\nAnswer: 110208*c*d**2*g - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376344721?\nAnswer: 1376344721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 6 + 11)*(-19*j**3 - 15*j**3 + 35*j**3 + 33*j**4).\nAnswer: 891*j**4 + 27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**2 + y - 1. Let k be j(1). Let i = k + 17. Suppose -4*c + 7*c = 0. Solve i + c = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 3560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:38 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 121110 = -0*a - 2*a. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + o - o - 5*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3586 and 42.2.\nAnswer: -151329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 12*l - 35. Which is bigger: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 * 0.3\nAnswer: 72.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -7. Let r be ((-6)\/16)\/(9\/j). What is the second smallest value in -1, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 28*v - 70 = 23*v, 8*o + 11*v = 70 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -45824?\nAnswer: 45849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = q - 4*a, 2 = 3*q + 3*a - 13. Suppose -3*w - 2*y - 2 = -21, 2*y - q = -w. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 1\/17, -1.\nAnswer: -23, -1, 1\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mpfmykpkypffhfk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(147) + (sqrt(147) - (-3 + -1*sqrt(147)))**2) + 5*(sqrt(147) + -1*sqrt(147)*2 + sqrt(147) + sqrt(147))**2)*-5.\nAnswer: -9647 - 910*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 + 45 = 0. Let k = -13 + n. Is k greater than 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 475\/190 - 1\/2. Solve 11*k - 7*k + g*o + 26 = 0, 2*k - 4*o = 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3246212805 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n + 1. Suppose 0 = -3*z - 4*s - 8 + 1, -4*s = -4*z. What is the remainder when 32 is divided by w(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504400 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*w + 374 + 724 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 9*j - j**2 + 2*j**3 + 4*j - 2*j**2 - 1. Let d be h(4). Which is the biggest value? (a) -1 (b) 6\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2 - -1) + 1 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 2*d + 1. Let o be w(-2). Let t = -3 - o. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 25) + (1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, e: 1, x: 6, v: 6}. What is prob of sequence sxes?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2207*g - 4431*g + 2223*g - 2 + 7.\nAnswer: -g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(139777\/139766 + -1). Let q = k + 11662. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5, -h + 17 = -w + 9. Solve 21 = 5*t - 4*q, -2*t = -h*q + 3 - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - 2*d, -f + 3*d - 4*d + 12 = 0. Let l be ((-104)\/f)\/((-1)\/110). Let x = l + 228. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**2 - 33*m**2 - 16*m**2 - m**3.\nAnswer: -m**3 - 85*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:28 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3883.005 - 3919. Let a = j - -36. Let n = 1.005 - a. Put -5, n, -5\/3, -3 in ascending order.\nAnswer: -5, -3, -5\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3. Determine k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*t**4 + 144519*t**3 + 310*t**2 - 60629*t + 2.\nAnswer: -2496*t + 867114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -851 + 461 + 443 + 25*n. List the prime factors of y(10).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 38864.68 micrograms?\nAnswer: 0.03886468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 856523125 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 174*b - 177*b + 447. Let x = 8790 - b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/177, 3\/619, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -75*d + 513. What is c(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 - 4. Let h be r(-3). Let k = h + 18. Solve -3*t + 2*t - k = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-595)\/(-34))\/((-2)\/36). Let q = u + 308. Let n(l) = -l - 8. Determine n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.93969 to 2 dps.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -81854 * -0.03\nAnswer: 2455.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*v + 14. What is the hundreds digit of (4 - -323)*v\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a + 26 - 26)*(-4 + 13 + 14)*(-2*a + 0 - 3 + 2).\nAnswer: -598*a**2 - 299*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-72)\/32)*1\/(-2). What is the nearest to -1 in 1, w, 0.01?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -274464*p. Let u(j) = -140*j - 2. What is u(f(r))?\nAnswer: 38424960*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2. Let h(q) = q**2 + 2. Let w(y) = -8*y**2 - 12. Let u(v) = -12*h(v) - 2*w(v). What is -3*j(l) - 7*u(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3. Let h(u) = u + 6. Let g(k) = -h(k) - 2*x(k). Let j(v) = -10*v + 7. Determine g(j(n)).\nAnswer: 10*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 154, 345, 612?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22769, 22768, 22767, 22766, 22765, 22764?\nAnswer: 22763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 100 = 251. Suppose 6*t + h = 219. Find the third derivative of -29*o**2 - 11*o**4 + 67*o**2 - t*o**2 wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 72. Let w(q) = 5*q + 28. Let o be w(l). Let k = o - -59. Solve -3*m = k*g - 4*g + 14, 3*m = 3*g - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1292338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:55 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -122*d - 5. Suppose -5*t + 4 = -3*c + c, 5*c - 9 = 3*t. Let j be l(c). Let f = j + 527. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -697 (b) -4 (c) 0.27 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 1, m: 3, f: 3, v: 1}. Give prob of sequence mmq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5\/12 - f**4\/12 - 4*f**3\/3 + 4. Let z(l) be the third derivative of s(l). Let o be z(1). Solve q = -q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 = -5*v. Let t(c) = 2*c**2 - 8*c - 6. Let m be t(v). Suppose -a = -m - 3. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1291518 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 3)*(7 - 7 - 4*c) + (-3*c**2 - 3*c**2 + 7*c**2)*(0 + 2 - 3).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/25 + ((-22935726)\/(-30) - -9) + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2170269 and -61\/45.\nAnswer: 10851345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 2. Let i be a(-2). Suppose 5*s - 27 + 2 = i. Does 17 divide ((-3)\/(-5))\/(s\/325)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 16*y + 10. Let l be q(-16). Solve z + 3*p + l = -1, 3*p = 4*z - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3\/42 + (-8)\/14). Suppose 0*y = q + 2*y - 2, -h*q + 3*y - 3 = 0. Put 2, 19, q in decreasing order.\nAnswer: 19, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 3*b + 2. Let s be l(4). Let n be (2 - s)*25*-10000. Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1394888 and -307284769.\nAnswer: -307284768.8605112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 5 (c) -0.3 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 5*o**4\/24 + o**3\/2 - o**2 + 4*o. Let t(h) be the first derivative of s(h). Find the first derivative of t(a) wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -13. Let i be (-16)\/8*(-2)\/s. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409526.\nAnswer: 2, 3, 78307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1577615?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 4. Suppose 5*p = -v*a, 0 = -3*p - 2*p - 10. Suppose 2*m = -l - 4*l - a, 21 = l - 4*m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 391 in -2, 4, 18\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 29804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*i = 184 + 5, 4*b - 3*i = 153. Suppose -3*l + l - b = 0. Let w be l*1*4\/(-12). Solve w*h - 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-27)\/135*23\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/19? (a) -1\/4 (b) 0.1 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54\/5 of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 273*u**2 + 274*u**2 - u + 5 - 4 to the form t + d*u**3 + f*u**2 + j*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, b: 5, k: 1}. Give prob of picking 1 k and 2 q.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1350995 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 10 + 2*y**2 - 28)*(3 - 3 + y)*(5 + 0 - 1)*(0*y + 3*y - y).\nAnswer: 16*y**4 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, 1 g, and 1 o when four letters picked without replacement from jlnnlljjglllnnolg.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*h - 9. Let a(y) = 6*y**2 + 5. Let c(d) = -d**2 - 1. Let r(w) = h*a(w) + 5*c(w). Let j(z) = -14*z**2. What is r(j(i))?\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14130875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 75 = -2. Let w = 37 - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18281501 - -18281478.999974. Let a = f + 22. What is a rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-23)\/(-5) + (-84)\/14 and 61\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139630 != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63355 - 38715. Let k = u - 16036. Let v be 2\/5 + k\/(-10). What is v rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let k(t) = -8*t**2 + 2*t + 1. Let s(f) = f**2 - f - 1. Let j(m) = -k(m) - 2*s(m). Calculate j(h(g)).\nAnswer: 24*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t + 1. Suppose -2*n - 6 = -8. What is the units digit of l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/18)\/(10\/12). Suppose -a = -6*i + 8*i. Put 0, 27, i in increasing order.\nAnswer: i, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 20\/(4\/1). Let y(d) = d**3 - d**2 - 5*d. Let x be y(p). Let l be (3 + (-162)\/57)*(-4)\/(-3). Is l at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 806 + 7929*p + 1066 - 1970*p - 6 - 113 wrt p.\nAnswer: 5959","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**8)\/((p\/p**6)\/p)*p**8*p\/p**(2\/9))**(2\/75) assuming p is positive.\nAnswer: p**(28\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (74 + 7 + 73)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132931991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(143) - sqrt(143) - sqrt(143)) + sqrt(143) + 1*-2*sqrt(143))\/(sqrt(88)\/(sqrt(8)*-1) + (sqrt(77)\/(sqrt(21)\/sqrt(3)) - sqrt(11))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.8 + -1.2. Let i = 10.14 + m. Let v = 4.86 + i. What is the closest to 0 in -2\/7, -14, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 18 = k. What is the second derivative of 6*d**2 + 6*d**5 - 5*d**k + 11*d - d**2 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16*1 + (0 + 3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + (-21)\/(-4). Suppose 3*q + 5*u + 44 = 0, -4*u + 9 + 15 = -n*q. Calculate the lowest common multiple of 2 - q - (-2 - 0) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1083 + 1088. Suppose -4*v + 5 + 7 = 0. Let z be v\/(-6) - (-5)\/2. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 925666 and 89350.\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 541*m - 1064. Calculate f(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3939*j**3 - 132*j**2 + j - 13. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(350)*-2)\/sqrt(10) + sqrt(560)*2))\/(sqrt(112) + (sqrt(112) - sqrt(112)*-1*5) + (sqrt(112) - (sqrt(112) - sqrt(112)*-1 - sqrt(112))*-6)).\nAnswer: -9*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, -3, -107 in increasing order.\nAnswer: -107, -19, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q + 25. Suppose 3*l = 5*k + 29, 4*k + 6 = -2*l - 4. Let j be 13*(5 + 1)\/(-12) - k. Which is the nearest to -6? (a) q (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46312 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 17 - ((-26)\/(-14) + (-30)\/35)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14314?\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 297 + 300 + 14*j + 13*j - 3.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + (3 - (8 - -35)) + 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21346 + 0?\nAnswer: -21346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 divided by -1223?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 342930 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/((-135)\/40 - -3). Let p = m + -33. Which is the nearest to p? (a) 6 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181749506819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 854 divided by 78007\nAnswer: 854\/78007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -0 - 1, -78*n + 21 = -8*o - 91*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - y + 29952, 7*y - 37440 = -5*d + 12*y. Does 96 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -58.39 (b) 1\/4 (c) -2 (d) -6 (e) -171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 - 30 + 81 - 71.\nAnswer: -22*a**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -333.34 - -333.54. Sort -10, 54\/7, j.\nAnswer: -10, j, 54\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (28 - -40 - (17 - 4)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 50\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10757839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) + -2)*6.\nAnswer: -7 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-4) + -1 + 5. Let l be (u\/(-2))\/((-4)\/(-200)). What is the highest common factor of l and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/23 (b) 20 (c) -1\/12 (d) -1\/4 (e) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -5)*(-1 + -4). Let o = k + 7. Calculate the least common multiple of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172533 and 1194?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*j + 30*j + 61*j - 6.\nAnswer: 151*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -105. Calculate the remainder when 126 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:06 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose 2*j = -i*j - 12. Let x be (-4 + 4 - 0)\/(1 - 2). Sort 3, j, x in decreasing order.\nAnswer: 3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/160 - -5557\/480. Calculate the common denominator of x and -1\/93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose 2*t - x = -5. Let z be (-2)\/6 - (-1 + -1). Which is the nearest to t? (a) -5 (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9)\/(2\/6). Let m = u - -6. Suppose -3*v + 2 + 7 = 2*z, 19 = m*z + 4*v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 62995660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4)**(-3\/35)\/(p\/(p*((p**0*p)\/p)\/p))**(-7\/4) assuming p is positive.\nAnswer: p**(281\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635845 is divided by 309.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 94*q - 169*q + 74*q. Let l(k) = -2*k + 4. Calculate -4*g(m) + l(m).\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.59 + -0.11. Let h(u) = u**3 - 72*u - 5. Let k be h(0). Sort -3\/5, k, q, 4 in increasing order.\nAnswer: k, q, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 301 + -299. Solve 3*m - t*j - 14 = 0, -5*m + 2*j - 3 + 21 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -27\/4 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 438 + -259. Is 40 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or 3215?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6\/13, -11, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*h**2*k**2 - h*k**2 + 2*k**2 + 18*k wrt h.\nAnswer: 154*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 811*s + 25339. Let l(f) = -f. Determine l(y(k)).\nAnswer: -k**2 - 811*k - 25339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8132*b**3 - 4 + 4369*b**3 + b**2 + 8. Let n be h(-2). What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71992 + 130061. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45401730.\nAnswer: 2, 3, 5, 11, 17, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/(-34))\/((-1694)\/(-1696) - 1). Let d = -157 - s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from fszwztrrtrrwtzztztsr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cysc when four letters picked without replacement from cpcyyccycycyycyysyy.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-76)\/8)\/(2\/(-4)). Let g be ((4 - a)*(0 + -1))\/1. What are the prime factors of (-1)\/(2\/g*3\/(-18))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 1, l: 3, q: 1, f: 1}. Give prob of picking 2 l and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {q: 3, s: 2, g: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f)*(-5 + 3 + 1) - 3*f - 2*f + f + (-3 + 3 - f)*(-2 - 2 + 5).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 160. Let s = 144 + c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + t = 28. Let v = 0 + -2. Let j = v - t. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -279455 (b) 2\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:40 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 232\/1437 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -787117\/45 + 17490. Let y = 49 - 43. Find the common denominator of w and (y\/9)\/(10\/74) + -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749174*w - 79*w**2 + 1498398*w - 749224*w.\nAnswer: -79*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 171\/3 + 4 + -5. Let k = r + -51. Let o = 8 - -1. Sort 0, k, o in decreasing order.\nAnswer: o, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -260*l - 11692. What is y(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**23*(o**(2\/11)*o)**(-4\/5) assuming o is positive.\nAnswer: o**(1213\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(176)*6)**2*6 + ((-4 + sqrt(44)\/sqrt(4))*-1)**2.\nAnswer: -8*sqrt(11) + 38042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:07 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w + 18. Let s(p) = 3*p + 17. Let i(n) = -3*m(n) + 4*s(n). Find the first derivative of i(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z)\/z**(-4)*(z\/(z**(2\/3)\/z))**(-1\/69))\/((z*z**2\/z*z*z*z**(2\/3))\/(z**(-7)\/(z*z*z*z\/(z*z**(-2))))) assuming z is positive.\nAnswer: z**(-2212\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Solve 3 = -t*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 632\/3. Put r, 1\/7, 1 in descending order.\nAnswer: 1, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 136*v. Let p(c) = 6274 + 2*c - 6274. What is y(p(k))?\nAnswer: 272*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 30*t - 23*t. What is the fourth biggest value in t, -3, 0.5, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5\/((-10)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84608 divided by -2\nAnswer: -42304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3020003321241 + 0?\nAnswer: -3020003321241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -169*k**2 - 1. Let q(m) = 3*m**2. Calculate l(h) + 4*q(h).\nAnswer: -157*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 7*s**6\/40 - 5*s**3\/6 + 5*s**2\/2 - 25*s. Let v(d) be the first derivative of x(d). Differentiate v(u) wrt u.\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1441 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17454 or -7?\nAnswer: 17454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/70 + 2\/5. Let l = -21 - -23. Let n be ((-3)\/l)\/((-27)\/6). Do n and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000135236 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19094 is divided by 4771?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/84 and -125\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 2)*(-1)\/(-4). Suppose -4*r = 17 + n. Let l = 61 + r. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161047 + -6.19712\nAnswer: -161053.19712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 46. Let l be -3 + 3 + 0\/4. Suppose 4*t + t + b = l. Put t, 0, 5 in decreasing order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 142*m + 19. Suppose 30 = 5*h + 5*i, 0*i - 5*i + 15 = 0. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 2*y. Suppose y = -6*n + 5*n - 265. Let x = 178 - n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - 1b0?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, g: 3, u: 2}. Give prob of sequence iuu.\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 17. Let t = -13 + 14. Solve -g = -t + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - -1223042020?\nAnswer: 1223041510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbpb when four letters picked without replacement from oobofypjbpfobob?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 176*o**3 - 158*o**3 - 22*o**3.\nAnswer: -4*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - -83. Let s = 203 + y. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226744618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 37 + 2*y**2 + 79*y - 3*y**2 - 59*y. Let r be (-1)\/2*(0 + -38). What are the prime factors of g(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5797084.\nAnswer: 2, 1449271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262.91 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1084 and -0.335?\nAnswer: 363.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421, 860, 1299, 1738, 2177, 2616?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -196*z + 7. Let i be (-12)\/24 - (-7)\/2. Suppose -2*k - 36 = 5*n - 6*k, -i*n - 32 = -5*k. Is m(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430042 - -4?\nAnswer: 430101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/633 (b) -1 (c) 118.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15561)\/411768)\/((-39)\/(-12))?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2592 = 3*j, 0 = q - 0*q + 2*j - 508. Is q a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g**1)**21*(g**(4\/7)*g**(2\/15))**(-4\/17) assuming g is positive.\nAnswer: g**(-113639\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/94 and -41\/27824.\nAnswer: 27824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 2*m = i - 7, -3*m - 27 + 9 = -g*i. Suppose -88 = -4*k - 4*x, -4*k - i*x + 48 + 36 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 4*g - 9. Let l(v) = 3*v - 7. Let d(h) = h - 4. Let x(w) = 2*d(w) - l(w). Give k(t) - 4*x(t).\nAnswer: -t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 7, j: 6}. What is prob of sequence lttt?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231260 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-330) + 93\/45. Solve 1 = 5*z - 2*n + 10, 0 = -s*z + 5*n - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 19. Let m be i(7). Suppose y - 5 = -3*u - 1, 0 = -5*y + 2*u + 3. Which is the nearest to -0.05? (a) 0.4 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-91028702.\nAnswer: -182057404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-18))\/(19\/76))\/(32\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -287, -439, -693, -1049, -1507, -2067?\n\"Answer: -51*n**2 + n - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2405 and 15248181.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 11) to base 14\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7012 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 0, -4*n + 30010 = -4*h + n. Let v be (h\/9)\/1*4056. Round v to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7413*r**3 + 11232 wrt r?\nAnswer: 22239*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 67, 114, 163?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + -110 + 103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 3*i**3 + 526 - 2783 + 0*i**3.\nAnswer: -3*i**3 + 2*i**2 - 2257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/18*(-3 - -1). Put 2, d, -14 in ascending order.\nAnswer: -14, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896243 is divided by 1133.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2249 + -2256. Let y(g) = 2*g**3 + 15*g**2 + 6*g - 10. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*k**2 - 130*k + 40.\nAnswer: -5*(k + 4)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 60, 8, -105?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiihihhihihihh. Give prob of sequence iii.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(76) + -1)**2*5 + 5*3*sqrt(76))*-2.\nAnswer: -770 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 7*h + 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 56*p**2 - 3*p - 114. Let n be s(-56). Calculate the greatest common divisor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 + 5*a - 35. Let u(k) = -3*k - 9. Determine h(u(z)).\nAnswer: 45*z**2 + 255*z + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1749163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.3. Which is greater: s or -1\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (143\/44)\/(2\/8). Let c = -22 - -35. What is the highest common divisor of c and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-3 - (-11 + 2) - -4). Let u(x) be the first derivative of -x**3\/3 + 4*x**2 - 7*x + 3. Give u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23468327*r**2 - 6*r - 15394124 wrt r.\nAnswer: 46936654*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = -41. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1216838 or 1216812?\nAnswer: 1216812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.022308.\nAnswer: 0.022308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/34 - 34\/(-4). Let y(f) = 2*f - 5. Let i(v) = 5*v - 11. What is u*y(p) - 4*i(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**2 - 624*o**5 - o**4 + 2*o**2 - 20*o**5 + 1353 - o**2 - 1077 wrt o.\nAnswer: -38640*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*g**2 + 0*g**2 + 2*g**2)*(-1 + 1 + g) to c*g + y*g**2 + i + p*g**3 and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**3 - 3*y + 0 + 0*y**2 + 3\/20*y**5 + 1\/4*y**4. Find the third derivative of k(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from pllllgllggglggalgp?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:46 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d + 3. Let r(o) = 172*o - 46. Calculate -3*r(q) - 48*w(q).\nAnswer: 60*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285319 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:55 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 1 + 1 + (-1 - 2 + 1)*(j**2 + 0 + 0) - j + j**2 + j - 2*j**2 + 4 - 4 - j**2 + j**2 + j**2 + 156*j**2 + 1004*j**2 + 2702*j**2.\nAnswer: 3861*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12418973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (72\/18 - -3). Let z(j) be the second derivative of 0*j**3 - 29\/20*j**5 + 0*j**4 + 44*j + 0 + 1\/2*j**h. Differentiate z(c) with respect to c.\nAnswer: -87*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3012245 and 340?\nAnswer: 204832660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2089 and -2.08?\nAnswer: 2091.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:41 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -37*v**2 - 3*v + 2. Let o be ((-1760)\/(-1056))\/((-5)\/(-3)). Give f(o).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63 + 10*v - 63 + (-2 + 3 - 3)*(6*v + v - v) - 3*v + 2*v - v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))**2*-4 + sqrt(243) + sqrt(243) + (-1*sqrt(243)*1)**2 + 1.\nAnswer: -732 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**2 + c**2 - 11*c - 2*c**2 - 2. Let l be y(-5). Let n = 39 - l. 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 q(l) = -l + 1. Let m be (-56)\/(-84) + 46\/(-6). Let p be m*((-15)\/7 - -2). Let r(g) = 4*g**2 - 3*g. Calculate p*q(d) - r(d).\nAnswer: -4*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1214065*d**2. Let a(m) = -16*m**2. Give a(j(h)).\nAnswer: -23583261187600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12865*k**2 - 183*k**2 - 12776*k**2.\nAnswer: -25824*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t - 2 + 1 - 4*t. Let j(d) = -2*d - 6. Suppose -13 = 2*i - 5. Let b be j(i). Determine n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12306*t**2 + 12304*t**2 - 49137*t**2 + 12219*t**2 + 12309*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769265.\nAnswer: 3, 5, 17, 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 9, 2 in ascending order.\nAnswer: -27, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2. Let h be (-2 - ((-80)\/12)\/5)*-3. Let u(k) be the third derivative of 0*k + 0*k**3 + 0 - 1\/24*k**4 - h*k**2. What is q(u(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, i: 12}. What is prob of sequence si?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 3. Let z be a(4). Suppose 0 = 3*i - 7 - z. What is the lowest common multiple of i and (4 - 28)\/(-6) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z)\/(z**(-1\/7)\/z) assuming z is positive.\nAnswer: z**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 0*q**4 + 0*q**4 + (5*q**3 - 4*q**3 - 5*q**3)*(19*q - 11*q - 33*q) + 4*q**4 + 8*q**4 - 4*q**4 + q**4 - q**4 + 2*q**4.\nAnswer: 107*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3749*v + 16. Let g be i(1). What is the second derivative of 3833*k**3 - g*k**3 - 6 + 3 + 10*k wrt k?\nAnswer: 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 48\/797?\nAnswer: 48\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 4*u - 4*u + (4 - 1 - 1)*(-2*u + 2*u + u) + 0 + 2*u + 0 + (0 - 2 + 0)*(4*u - 10*u - 18*u) in the form x + m*u and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 - 5*h**2 + 2*h - 5. Let d(o) = -o**3 - o**2 + 1. Let f(b) = a(b) - 2*d(b). Calculate the remainder when f(-3) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 295630241.90967.\nAnswer: 295630242.00967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + (-1134)\/117.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*t + 148, -3*h + 0*t = -3*t - 228. Suppose -20 = -0*x + 5*x - 5*c, 5*c - 20 = -x. Find n such that -13*n**2 - 25 + x*n**2 - h*n - 2*n**2 = 0.\nAnswer: -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-2)\/(-18)). Let h be 2\/1 + (r - 4). Calculate the remainder when 2\/h + 0 + 1 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 8:43 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/8*(-2)\/(-3). Suppose 5*f + h*n + 58 = 0, 0 = -0*n + n - 4. What is the units digit of ((-68)\/f)\/(4\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 f, and 1 c when four letters picked without replacement from {y: 1, f: 2, s: 2, c: 11}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r**(1\/5)\/r)\/r))*r**(2\/9))\/(r\/((r\/(r\/r**1))\/r*r)*r)**(-7))**(-20))**6 assuming r is positive.\nAnswer: r**(-1952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -330*m - 25\/3*m**2 - 3267.\nAnswer: -(5*m + 99)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and -10?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 65\/(-2)*24\/30. Let u = -26 - a. Which is smaller: u or 2\/57?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttpttpptt. Give prob of picking 1 p and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-4 + 1 + 1)*(-214*d - 36*d - 31*d).\nAnswer: 1686*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:44 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-507)\/(-52))\/(-13)*(-11 + 63)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(-6*sqrt(76)\/sqrt(2)*-6)\/(sqrt(6)\/sqrt(3)*3 + sqrt(4)\/(sqrt(2)*-2)).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 f when four letters picked without replacement from {x: 3, m: 3, d: 1, f: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -117, -260, -485, -810, -1253, -1832, -2565?\n\"Answer: -3*s**3 - 14*s**2 - 16*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 64. Let s be u(10). Solve s = -f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemeeeeeeeeemmeeee. Give prob of sequence mem.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, 154, -7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, -2, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 212?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -64*f**2. Let b(i) = -4*i**2. Determine b(x(d)).\nAnswer: -16384*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 - 14*t + 15. Suppose 5*n - 39 = 2*n. Let f be o(n). Suppose -f*v + 6*v = 32. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -99.16. Let p = 5 + -6.1. Let d = s + p. What is d rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + u**3 - 2*u**3)*(-1206*u - 1109*u - 17 + 2234*u).\nAnswer: -81*u**4 - 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 1, v: 4, k: 3, n: 7}. Give prob of picking 1 n and 1 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 + 16363. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + -4687.080853.\nAnswer: -4693.080853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 143 + 150 - 24*j - 293 + 107*j - 73*j**2 + (-1 + 1 - 2*j)*(-3*j + 6*j - 4*j) as p*j**2 + z + v*j and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1900) + 4*sqrt(1900))**2 - sqrt(1900)) + 2 + (-3 + -6*(sqrt(475)*-2 - sqrt(475)))**2)*-1.\nAnswer: -201412 + 550*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c + 12, -4*p = -5*c + 103. Let h = -10 - p. Solve 2*q = 8, 4*l - 2*q - h = -4*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2976 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(-1*sqrt(10)) - sqrt(130)\/sqrt(810)) + (-1 + sqrt(1053) + 0 + 1)**2 + -5.\nAnswer: -10*sqrt(13)\/9 + 1048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355756549 to the power of 1\/3, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 9. Let t be j(-4). Solve -t*w + 2*h = 4, -2 = 5*w - 0*w - h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = -6*k + 528. Calculate the remainder when 521 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-27)\/33*((-385)\/(-42))\/55).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 10*z - 20. Let o be i(-6). Let q(c) = 18*c**2 - 4. Let x(r) = -19*r**2 + 3. Let g(n) = o*q(n) + 5*x(n). Let s(v) = -4*v. Give s(g(m)).\nAnswer: 92*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21553 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/8)\/1*3868546\/879215?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -53. What are the prime factors of k - (0 + (-4527)\/9)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f - 4. Let a be p(2). Let z = a - -46. Calculate the smallest common multiple of z and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.609 + -721581.6?\nAnswer: -721583.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**3*l**3 + i**3*l**2 - 248187*i**3 + 9*i**2*l + 392604*l**3 wrt i?\nAnswer: -36*l**3 + 6*l**2 - 1489122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -58. Suppose 4*d + h*k - 12 = 0, 0 = -d + 2*k + 6 - 3. Suppose -346 = -4*c + d*m, 3 = 2*m - 1. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 26*t**2 - 24*t + 33. Let j be r(-25). Let d be (-8 - -1)\/(j\/(-24)). Suppose 1 = 5*g + d. Sort g, -6, -1 in increasing order.\nAnswer: -6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001102 (base 3) to base 14.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-10)*(-95)\/38.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7606*q + 6*q**2 + 7606*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 21*x + 5*g - 30 = 0, 3*g - 19 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2\/2 - 63*f + 1029\/2 = 0?\nAnswer: -49, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**2 + 6 - 1 + 56*p**2 - 35*p**2 - 5.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0646 - 1.1354. What is the nearest to 1 in 2, p, -1\/4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1192 - -1187. Sort g, -67, -2\/7 in descending order.\nAnswer: -2\/7, g, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14817003.\nAnswer: 3, 79, 101, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18187743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8140*l**4 - 48152*l**3 + 61252*l**2 - 3952*l - 1008 = 0. What is l?\nAnswer: -7, -18\/185, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 3 = 5*f - 19*h, -2*f - 14*h - 8 = -12*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133045 - 0?\nAnswer: -133045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 345656.\nAnswer: 345656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 30*s**3 - 7*s**2 - 10*s - 7. Let y(m) = -20*m**3 + 5*m**2 + 7*m + 5. Give -5*h(a) - 7*y(a).\nAnswer: -10*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*o - 195 = 346, 2*h - 4*o = 206. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.646 - -0.15?\nAnswer: 0.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 4*c + 5. Let r be z(4). Suppose -2*g - 20 = -r*b, -5*b + 11 = -g - 14. Suppose -242*y + 928 = -1492. Solve -y = d - b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -121*o**2 - 2*o. Let h(f) = 922*f - 4. What is h(t(z))?\nAnswer: -111562*z**2 - 1844*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2 - 2 + 2)*(26*t - 7*t - 11*t)*(-t**2 + 3*t**2 - t**2).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3589, -4526 in descending order.\nAnswer: 3589, 1, -4526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32.6? (a) 0.4535 (b) -2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3306*o**3*y**3 - o**3*y + 3*o**2*y - 2*o*y - 19998*o - 1544*y**5 + 6*y wrt y?\nAnswer: 19836*o**3*y - 30880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*o - 701015 = -698216 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*w + 768 = -675, 0 = 5*a - 4*w - 2396. Does 72 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16509 and 4800?\nAnswer: 26414400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2432 and 1520?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 129073480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 1187470659936?\nAnswer: 1187470659935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 12399*h\/7 - 160680\/7.\nAnswer: -3*(h - 4120)*(h - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 200758*r + 3814420. What is z(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11154 - -11154.4. Which is the second biggest value? (a) -0.2 (b) k (c) -641\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3393 and -0.3.\nAnswer: -1.6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 - 86?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j + 0*j)*(-709*j**4 - 680*j**4 - 1478*j**4) - j**5 - 2*j**5 + j**5.\nAnswer: -2869*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-26)\/7488)\/(4\/24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*f. Suppose f*t = 4*t - 168. Suppose -13*c + 48 = -147. What is the remainder when t is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*u + 6*u. Suppose 3*l - 20 = 4. What is the least common multiple of l and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 158234816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12832044 is divided by 1833148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 94*r**2 - 113*r + 868. Give y(48).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 7*l**2 - 9. Let w(s) be the first derivative of s**4\/4 - s**3 - 4*s - 38. Determine 3*o(k) - 7*w(k).\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -19235 in increasing order.\nAnswer: -19235, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q + 555. Let g be m(-28). What is the nearest to -0.1 in -16, -5\/3, g?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p + 65 - 26 = 0. Solve 3*a - h + p = 0, -3*a + 11 = -0*h + 2*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, 0.37, 1668, 2 in increasing order.\nAnswer: -25, 0, 0.37, 2, 1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -24*k - 1053. Give w(-45).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205522492 is divided by 2454.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2537, -5048, -7559, -10070, -12581, -15092?\nAnswer: -17603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + sqrt(136)*2) - sqrt(136))*3)\/(-6*sqrt(24)\/sqrt(3)) + -3.\nAnswer: -3 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v**2 + v - 213. Let s(w) be the first derivative of 46*w**3\/3 - w**2\/2 + 320*w + 31. Let q(o) = 5*s(o) + 7*t(o). Differentiate q(d) wrt d.\nAnswer: 40*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:15 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2457*m + 738*m**2 + 1 - 2459*m + 4916*m.\nAnswer: 738*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + h - h. Let b(d) = -18*d - 63. Let u be b(-14). Let r(g) = 192*g - 385*g + u*g. Calculate r(v(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 13*q - 31. Suppose 5 = -j - 2*r + 2, -j = -5*r + 24. Let m be d(j). Solve 0 = c - 5*l - m - 4, 0 = -l - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:26 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 143 = 5*v, -75*v - 69 = -78*v + 3*m. Solve -v*l = -29*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352562?\nAnswer: 2, 17, 69193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-55 - (54 - 60))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(228) - sqrt(228)*-1)\/sqrt(6) + sqrt(38)))\/((sqrt(162)*-1 - sqrt(162)) + sqrt(14)\/sqrt(112)).\nAnswer: 60*sqrt(19)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1036 (c) 1488 (d) -0.108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 4*h + 6. Give t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 26 + 42 - 18*x**2 - 114 + 46. Let r(a) = -398*a**2. Give v(r(p)).\nAnswer: -2851272*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.3331948 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*b**6*f**2 + 2156*b**4*f**3 + 85282*b**2 + 2*f**3 - f wrt b?\nAnswer: 1800*b**3*f**2 + 51744*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003770814717 to seven decimal places.\nAnswer: 0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 0.4 (c) 11.25 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/13, -85054, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 15*v**2 + 27*v - 10. What is the tens digit of r(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrssrsssssrsrsrrs. What is prob of sequence rss?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrllr. Give prob of sequence rlrl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:22 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 3. Let y be x(3). Solve -2*w + 6*w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0605 and -2076451.193?\nAnswer: 2076451.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1 - r**3 + 22*r**3 - 2*r**3. Is t(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -40. What is the remainder when 58\/g + (-2)\/9 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 13*j**2 - 11*j + 18. Let t be d(-12). Suppose 282 = -t*f + 996. What is the remainder when f is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**7\/o)\/o*o**4)**(2\/27) assuming o is positive.\nAnswer: o**(20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-650)\/2275 + 9\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 8 (b) 89 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 7, -2\/15, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19852\/23 + -863. Is r >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 39*o + 385. Let g be s(-10). Sort 2, 0, 3, g in descending order.\nAnswer: 3, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5 + 25 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22054 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11710 is divided by 217?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 3) to base 2\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 110*s**2 + 327*s - 664. What is q(107)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.2. Let o = -0.2 + c. Let w = o - 0.1. What is the third biggest value in 5, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 20 = -10*v. Suppose -8*s = -4*s - 16, 4*x + v*s = -4. Let k be (-1)\/(-2) - 2 - x\/12. Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -1.9. Let w = 45 + -87\/2. What is the third biggest value in 4, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + -5*(sqrt(78) + -1*sqrt(78) + sqrt(78))))\/(sqrt(36)\/(-1*sqrt(6)))*-6)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 942.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345320795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -53 - 52 - 6*m + 116 + 15*m**2. Let u be r(3). Suppose 3*l + u = 5*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 - 9*k + 9. Let p = -2707 - -2700. Let g be 6\/(-9) - (-16)\/6. Let a(j) = 5*j**2 + 3*j + 4*j**g + 5*j - 4*j**2 - 8. Calculate p*a(w) - 6*z(w).\nAnswer: w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*t - 25300015 = 0, -5*g - 2*t = 5064363 + 20235627. What is g rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 80, 138, 208, 290?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858aa (base 15) to base 4.\nAnswer: 1213132123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2266*p**3 + 574*p**3 + 293*p**3 + 488*p**3 + 419*p**3.\nAnswer: -492*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 2*t**2 - 1 - 2*t**3 - 3*t**3. Let n(h) be the first derivative of -7*h**4\/2 + 11*h**3\/3 - 3*h - 527. Calculate 4*n(r) - 11*s(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17105, -17097, -17087, -17075, -17061?\n\"Answer: g**2 + 5*g - 17111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 1249 = 15*l - 4*u, -5*u - 1032 = -4*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1564758 and 93618?\nAnswer: 10953306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340 - -355. Suppose -c = -3*r - 2*c + 26, 3*r - c = 34. What is the greatest common divisor of t and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3 + 3)*(-6*s + 4*s + 4*s) + 4*s**3 + 99551*s - 5*s**4 - 99551*s.\nAnswer: -3*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.796228376 to two decimal places.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*z = 12, -8 = -2*f + 4*z - 12. Factor 30*j + 486 - 453 - 4*j**2 + j**f.\nAnswer: -3*(j - 11)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n = 35*n + 14*i - 228, -5*i = -2*n - 89 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + j**2 - 4*j**2. Let q(w) = -11*w**2. Give q(m(x)).\nAnswer: -44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7 = 5*y, 0 = 5*y - 0*y - 5*q + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/9))**(-5\/18)*(v\/(v**(-1\/5)*v))\/v**(6\/13) assuming v is positive.\nAnswer: v**(-5029\/10530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652337 (base 9) to base 3.\nAnswer: -201202101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25268050 is divided by 951?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(65)*1 + (2*2*sqrt(65) - sqrt(65)) + sqrt(65))\/(sqrt(35)\/(sqrt(252)*-2)))**2*-3.\nAnswer: -561600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54774871430 - -0.2?\nAnswer: 54774871430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 42. Let o(m) = m**2 + 5*m - 6. Let q be o(-6). Suppose l = -q*l + u. What is the least common multiple of 22 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 30. Let m be y(-7). Let w = 553\/3 + -168. Find the common denominator of (-358)\/(-96) - m\/(-114) and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885235.\nAnswer: 5, 13, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1898837 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:09 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -509.95 + 510. Sort -1\/2, d, -0.2 in decreasing order.\nAnswer: d, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108943 is divided by 1078?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 125\/3000*63\/210\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - y = 4*q - 27, 4*y - 8 = 0. Suppose -40 = -3*w - 5*m, 3*w + 2*w - 4*m = q. Suppose 32 = -r + w*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1404, 1039, 676, 315, -44?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1\/(-4)*(-2)\/7. Suppose -g*k + 2\/7 - 6\/7*k**3 - 10\/7*k**2 = 0. Calculate k.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 4 + 7 + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74533.15l to millilitres.\nAnswer: 74533150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21415 divided by -5\nAnswer: -4283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 54*i = -330 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25067838 to the power of 1\/2, to the nearest integer?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 - -250.96. What is the second biggest value in -0.27, n, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 + 672*z**3 - 10400*z**2 - 296448*z - 1359872 = 0. What is z?\nAnswer: -8, 32, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 778, 1161, 1540, 1915, 2286?\nAnswer: 2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 17*d + 44952 = 2*v, 3*d = -2*v + 44953. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1841.56um to meters.\nAnswer: 0.00184156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1568368 times -0.1\nAnswer: 156836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -16*j**3\/3 - 6*j + 1. Differentiate m(p) wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/6, 3\/2, -5.2, -8?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 - (-42 - -42) - (0 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 18 = o - 3*o, 0 = -5*o - 3*g + 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092475 is divided by 366.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9109\/31501 or 1?\nAnswer: -9109\/31501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3113 - 31*y**4 - y**3 + 125*y**4 + 3153 wrt y.\nAnswer: 376*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -2. What is the second derivative of -85*z**4 - m*z**2 - 12*z**5 - 16 - 5*z + 85*z**4 wrt z?\nAnswer: -240*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 3 + 3 + (-108 - 37 + 9)*(3*h - 5*h + 4*h) + (-4*h + 2*h + 6*h)*(2 + 0 - 3) to c + s*h and give s.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8257458 + -164919503\/20. Let n = 11478 - p. Calculate the common denominator of 95\/18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15675 - -20044. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:30 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -31. Let v = k - 7. Solve -2*t + 2 = -v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4 + 72605510*o**3 + 274670716*o**2?\nAnswer: 24*o + 435633060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 479727 by 1359.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000695729 to 7 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -89*q - 23590. Determine g(-267).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j - 5. Let z be o(-7). Let q = -65 - z. Let v be (-6)\/q - 0 - 342\/(-95). Solve -5*w - v*b - 5 = -26, 0 = w + b - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -7. Let s be (-7)\/(-5) + 4\/k. Let o be (-2)\/4 + 4\/16. Is o != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*i - 2*i - 11, -12 = -4*i. Let y(g) = -g**2 + 16. Let r be y(0). Suppose r = a + u. Solve c + 0*c - a = 3*x, -x + c - 7 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1 + 12*g - 4*g - 7*g. Let w(o) = -3*o + 3. Calculate 5*j(u) + 2*w(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/734 and -67\/20?\nAnswer: 7340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 254\/127)\/((-12)\/(-94)*(-2)\/4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78888574.\nAnswer: 2, 23, 43, 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by (8*1)\/(-6 + 140\/23).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31451337.\nAnswer: 3, 151, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 = 2*h, -x - 4*x + 23 = -4*h. Suppose -3*g - 2*i + 9 = 0, 5*g + 2*i - 4 = 7. Which is the smallest value? (a) x (b) 2\/15 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -138, -123, 2056?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4710791?\nAnswer: 23, 31, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2 - 1 + 1 - g**2 + g - 8*g. Let m be d(-5). Let j be 7 - (-2 + -4 - 7). Calculate the highest common divisor of j and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463341476.\nAnswer: 2, 615835369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-130)\/(-35) - 4)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 2, 12357?\nAnswer: 12357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24656, -24653, -24650, -24647?\n\"Answer: 3*y - 24659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 280?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 198, 5, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/21))**(-18))**(-40) assuming m is positive.\nAnswer: m**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = 5*f. Let u = f - -6. Suppose -4*m + u = -8. Solve -r - m = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**3\/3 + 12*o**2 + 56*o - 69. Determine n so that p(n) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209.902 + 0.098. Let g = r - 200.9. Let c = g + -8.7. What is the nearest to -1\/2 in 5, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*t**3 + 157*t**3 - 388*t**3 - 3 + 3*t + 277*t**3 - 1 to the form d*t + z*t**2 + a + q*t**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8*3.06\nAnswer: -24.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/5 - 2*r**2 - 264*r\/5 = 0. What is r?\nAnswer: -12, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 + 11.740815\nAnswer: 11.899815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 10, 18\/5, 4, 11?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:19 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 8*k**2 + 7*k - 33. Let x be u(8). Solve 3*w + 2*w = 25, -2*d = 5*w - x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose -j + 1489 = i*n - 0*n, 3*n + 7501 = 5*j. Let k be j + 1 + (-9 - -9). What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(21\/(-9) - -2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42812 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.2. Let x = m + 0.2. Let d = -0.01 - 0.19. What is the closest to 0.1 in d, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1090 = 987. Let m = a - -106. Solve j = 4*j - 2*o + 3, -m*o = j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -159. Let i = 42 + v. Let l = i + 18.9. Which is bigger: -23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*t + 5*t + 6, -3*f + 4 = -5*t. Let z be f\/5 + ((-114)\/(-10) - 1). Solve -3*g + 5*g = z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8312.8078 rounded to 0 decimal places?\nAnswer: -8313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1035 (base 11) to base 4\nAnswer: 111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, -14.\nAnswer: -14, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyappeaapyyaz. Give prob of sequence yp.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 - 18780*b + 88172100 = 0?\nAnswer: 9390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 + -129. Calculate the smallest common multiple of 36 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -96. Suppose 2*k = -0*k + 12. What is the remainder when -2*(-3)\/(9\/m) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 8\/(6\/3). Let b = 6 - u. Suppose b = -h - 3*h + 144. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + (-2 - 1) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 8*i**2 - 14*i + 61. Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/3)\/(f*f**(-5)\/f*f))**(-6\/7) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:41 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*o - 3, 4*o = 6*o - 10. Let f(y) = y**3 - 6*y**2 - 6*y - 2. Give f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/5*10\/4. Suppose -t + 5*c + i = 0, -13 = -t - 4*c - 0*c. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 61, 81, 101, 121?\n\"Answer: 20*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k + 48*k - 4*b = -4, -8 = -4*k - 5*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*l + 2, 5*x - 8 = 2*x - 2*l. Put -2, -4, 5, x in decreasing order.\nAnswer: 5, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 2 - (0 + -3). Suppose 2*v = f*h - 18, h + 4*v = -0*v. What is the units digit of 33\/7 + h\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145064484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -t + 15. Let m = 0.9 - 0.7. Which is the fourth biggest value? (a) -3 (b) 2\/5 (c) m (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d - 0. Let g(c) = 2*c - 6. Let q be g(6). Find the third derivative of -d*y**6 + 3*y**q - 2*y**2 + 0*y**2 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 7*c = -8*c + 108. What is the smallest common multiple of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 502435, -5 in decreasing order.\nAnswer: 502435, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let z(f) = -3*f - 3. Let n = -215 + 213. Determine n*r(j) - z(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {r: 7, w: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002485 to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.66 + -1.64. Let u = 6.7 + 0.3. Let x = u + s. Put -0.1, 3\/2, x in increasing order.\nAnswer: x, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 11122 = 14096. Let s = -591 - c. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 290, 494, 734, 1022?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + (3 + 6 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*p - 60*p - 32*p - 86*p to l + w*p and give w.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 3*i**3 + 2*i**3 + (0 + 0 + i**2)*(3*i - 3*i - i) - 6 - 60*i - 4*i**3 + 66*i + 2.\nAnswer: -3*i**3 + 6*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:29 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 464504?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 9*d + 8. Let m be k(-8). Let u be -1*(-3 - m)\/3. Solve 2*j + u = 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 10. Suppose -3*x = -l - 4. Suppose x*o - 56 - 10 = 0. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 722, 715, 704, 689, 670, 647, 620?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 6*a - 17 = 29, 4*c + 4 = 4*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/13 + 77698412*a**2\/13 - 155396818*a\/13 + 77698408\/13 = 0.\nAnswer: 1, 38849204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.067 greater than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 156, 291, 430, 573, 720, 871?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3765 divided by 753.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*b**2*q**3 + 15*b**2*q + 477*b**2 - 29*b*q + 4*q**4 + 167*q**3 + 2*q + 17 wrt q.\nAnswer: -876*b**2*q + 48*q**2 + 1002*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14380 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76609380487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -5*r + 2*o, 132 = r - 0*o - 2*o. Let v = 172 - r. Calculate the highest common factor of 50 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(1216)) + (sqrt(1216)*-1 - sqrt(1216)) + -4 + ((sqrt(95) + 6*(-2*sqrt(95) - sqrt(95)))\/(3*sqrt(10)\/sqrt(2)))**2*-4.\nAnswer: -21955\/9 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-15) - (-13)\/(-780)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-72))\/(10\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(17))*-4 - sqrt(17) - 1*sqrt(68)\/sqrt(4)) + 1.\nAnswer: -6*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3562*m + 3572*m - 762190. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*f - b + 2 = -298*f, f + 2*b = 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -476 * 76.\nAnswer: -36176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 1\/45*v**6 - 1\/30*v**5 + 1\/9*v**3 + 0*v**2 + 2*v + 69 - 1\/18*v**4. Factor w(b).\nAnswer: 2*b*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -16. Let h = 90.3 + q. Let r = 6 - h. What is the biggest value in 5, 0.05, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -14.01?\nAnswer: 14.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1059114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a - 114 = 0, 42 = m - 2*a + 7*a. Let x = -28 - -79. Calculate the remainder when x is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/3*(-48)\/(-40). Let s(n) = -4 - n - 4*n**3 - 4*n**2 + 3*n**3 + 0*n. Let w be s(-4). Solve w*t = 4*t - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -7. Let s = -17.48 + 9.48. Sort 0, s, r.\nAnswer: s, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 26 + 0*h**2 + 8*h + 30 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.4. Let i(w) = -w**2 - 5*w + 7. Let q be i(-5). Let s = q + -12. Put f, 2\/13, s in decreasing order.\nAnswer: 2\/13, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3676849*k + 3676867*k - 810 = 0 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171)*3 + sqrt(171))*-4)\/((sqrt(288)\/sqrt(392))\/sqrt(4)).\nAnswer: 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1722 + 2532. Let o = q - 810.826. Round o to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859162566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, 39, 216, 585, 1212?\n\"Answer: 11*a**3 - 3*a**2 - 17*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0692 * -3\nAnswer: -0.2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 5\/(10\/(-8)). Suppose 0 = -g + 6*g. Let i be 10\/70 + (w - g). Which is the biggest value? (a) 1 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9899? (a) 2\/7 (b) 4 (c) 10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -110. Let h = -0.089 + 0.289. Which is the nearest to -1\/4? (a) -42 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233a - -2?\nAnswer: -2338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69886964 to the nearest integer?\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(704)*1 + 5*(2 + sqrt(704)))**2.\nAnswer: 1008*sqrt(11) + 34577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11*f = 99, 3*w + 144*f - 145*f = -9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -12202313?\nAnswer: -12202316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198527.\nAnswer: 3, 155501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1749 + -5577. Let b = 25235\/6 + -4222. Find the common denominator of (f\/(-231))\/((-20)\/14) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x - 8. Give a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9 - 83. Suppose 11*u - a = 12*u. Let s = 130 - u. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156962 + -2\nAnswer: 156960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Calculate the lowest common multiple of h - 2*19\/(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417.94111 - -418.63. Let b = i + -0.69. What is b rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -188+-564987\nAnswer: -565175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 29*x + 124. What is y(13)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22806252.3551786 - 4.3551786. Let m = i - 22806263.0000072. Let k = m + 15. What is k rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) + 4 + sqrt(192)))**2*-3.\nAnswer: -9408 - 1536*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) + -4)**2*-6.\nAnswer: -684 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) -5 (c) 2 (d) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4 - 4*t**2 + 2*t**2 + 0*t**2 + t**2. Let x be w(0). Suppose 5*r = x*r + 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 6*k + 20*k - 8*k to c*k + o + n*k**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b + -2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29737 and -32609.\nAnswer: -62346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 - 2.57. Let j = 0.16 + y. Let l be 9\/(-8)*6\/(-9). What is the second smallest value in 0.5, j, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603344726 a multiple of 1478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.1, 19\/4, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -b5?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from ddeeee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 + 1710*n - 146205 = 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-1408)\/(-468) + -3). Let i = -76 - s. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 285*d.\nAnswer: 3*d*(d - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*a**4*q**3 + 8*a*q**3 - 60*q**3 - 5*q**2 wrt a?\nAnswer: 132*a**3*q**3 + 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.7 + 13.71. Let g = v + 6. Let x = 0.05 + g. What is x rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnf when three letters picked without replacement from {x: 1, f: 1, g: 5, b: 4, c: 2, n: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -215 in decreasing order.\nAnswer: 3, 0, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, e: 6, z: 5, k: 4}. Give prob of picking 2 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 26*z**2 - 24*z - 24. Let c be m(2). Let o(s) = 3*s**2 - 96*s - 8. Give o(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 2*y + 4 = 0, -y = -c. Suppose 0 = -c*w + 5*w - 5. Solve 0 = -0*j + w*j + 5*g - 20, 5*j - 4*g = 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a**(-3\/13)*a)))\/a*a**21)\/((a\/(a**(-4\/7)\/a))\/a**(-18\/7)) assuming a is positive.\nAnswer: a**(1331\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 7. Let i(r) be the first derivative of 5*r - 26 + 2*r**2 - r + 19 - r**2. What is 4*h(q) - 7*i(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14818709 + -3335\nAnswer: 14815374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h, -5*u - 14 = 4*h - 7*h. Suppose 0*d + 6 = -3*d. Which is the closest to u? (a) 3\/4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -3, 19, 65, 141?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {g: 3, j: 3, k: 5, m: 4, n: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 19*i + 330. Calculate the remainder when i is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/22811722 and 5\/20332187.\nAnswer: 935280602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-11)\/2 - -4). Suppose -6*y = 6*y. Sort -4, 1, y, w in ascending order.\nAnswer: -4, w, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 190.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.034506l to millilitres.\nAnswer: 5034.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + (2 + 0 + 0)*(0 + 0 - 1) + 3 - 1 - 3)*(-2 + 4 + 102*w**2 - 2) + 0*w - w**2 + 0*w.\nAnswer: -205*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -135\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263407489 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*u - 28446 = -1047*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*j = 443*j + 42*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 81*u**2 + 83*u - 265. Determine c(80).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-36) - ((-44)\/3 + -1). Suppose -2*y + g = 3*y. What is the third derivative of -28*x**3 - y*x**2 + x**2 + x**2 wrt x?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:35 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4217683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -111, 2 in descending order.\nAnswer: 2, -1, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 491 divided by 440\nAnswer: 491\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)\/((1 + 2)\/12). Suppose -6 = -w*t - 5*h, 7*t - 26 = 3*t + 5*h. Calculate the remainder when 18 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25507 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 1, o: 1, m: 1}. Give prob of sequence aam.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1511215 by 17779.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 n when four letters picked without replacement from {n: 3, s: 1, f: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b**(1\/6)\/b*b)\/(b**(-1\/3))**(10\/7)*(b**(2\/5))**(-46)\/(b**(-2\/5))**(-1\/53) assuming b is positive.\nAnswer: b**(-39937\/3710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2 - 10. Suppose -n*f + 2*f + 5 = 0. Suppose -16507845 - 12492155 = -f*x. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175.6003 + 175.7. Let n = -2.1 - -2. Let k = q + n. What is k rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 take away 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 2\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-455)\/(-175) + 15\/(-6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + s + 1. Let b be u(-1). Let d be b\/(-6) - 50\/(-4). What is the units digit of (0\/3 - -1)*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -15*s. Let b be u(-5). Let c(o) = 64*o**3 - 5*o - 7. Let x be c(-1). Let p = x + b. What is the remainder when 32 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 + -670. What is the remainder when 74 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -82) + -16 + 21 + (4 - 18 - -12)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*z - 87*z = -59 + 17. Which is greater: -19578 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -78, 71, 4, -8, -2 in decreasing order.\nAnswer: 71, 4, 3, 2, -2, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 16*k + 84 = 0, -5874*k + 5877*k = 4*d + 33 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 7. Let k be z(-7). Suppose 5*q + 2 - 7 = k. Which is greater: q or 2\/33?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3829231.026 to the nearest ten thousand.\nAnswer: -3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoyyyyyyyyy. What is prob of picking 1 o and 3 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1025 - 1021. What is the second smallest value in 16, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84107937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -6*2*sqrt(156))\/(2*sqrt(972) + sqrt(972)) + 5.\nAnswer: 13*sqrt(13)\/27 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63589\/100350 - -583\/669. Calculate the common denominator of -25\/12 and g.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 1\/20, 1\/5, -0.08, 32?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361294113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -18 - 4) + (-2 - -5 - 8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1009745 divided by 1669.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2210003?\nAnswer: 2210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.93 + 0.07. Put w, -5, -1 in descending order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479642383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31279212, 31279211, 31279210, 31279209, 31279208?\nAnswer: 31279207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 1. Let d(j) = 6*j**2 + 32*j + 2. Let i be d(-6). Let n(a) = -17 + i*a**2 - 1 - 13*a**2 + 9*a**2. Determine -2*n(h) + 36*s(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 215.\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*c**4*q - 61*c**3*q - c**2*q + 94*c**2 + 2*q - 3 wrt c?\nAnswer: 1056*c*q - 366*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 7 = 4*w + 79 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.09. Let w = -0.41 - m. Let v = 0.1 + w. Put -2\/11, v, 2 in increasing order.\nAnswer: v, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7*c**2 + 6)*(((-2 + 3 + 0)*(-2 - 2 + 3) - 3 + 2 + 0 - 2 - 2 - 2)*(-1 + 3 - 17) + (-1 - 1 + 0)*(-3 + 2 + 2)).\nAnswer: -826*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910798.\nAnswer: 2, 7, 67, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -47*y**2 + y + 5. Let h(u) = 70*u**2 - 2*u - 8. Let g(x) = 5*h(x) + 7*k(x). List the prime factors of g(-2).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 596304 and 14460372.\nAnswer: 57841488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.013168 and -0.5?\nAnswer: 0.513168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n + 3*q - 38, q + 3 = 0. What is the remainder when (-1 + -30 + 2)\/(-1) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -29. Suppose 0*b - 7 = 4*k - 3*b, -f = -k - b. Put 9, k, 0.1 in decreasing order.\nAnswer: 9, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. What is the nearest to -3 in -0.08, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 20 + 25)*(-1 + 1 - i + (-2*i + 1 - 1)*(0 - 5 + 4) - 5*i + i - 6*i + 6 - 2*i - 6 - 2 - i + 2) as r*i + q and give r.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1763006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v - 6 = 0. Let z = 35 + v. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6637*-0.05.\nAnswer: 0.033185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*b**2 - 312*b**2 + 320*b**2.\nAnswer: 189*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*b**3 + 719*b**3 - 282*b**3.\nAnswer: 281*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + t - 1. Let n be v(1). Let q be ((-8)\/n)\/(4\/(-3) + 1). Suppose q*p = 4*i, i - 20 = 2*i - 5*p. What is the remainder when 33 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -4\/5, -16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 36*u = 50*u + w - 15, u - 30 = 4*u - 2*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -48. Suppose 46 = 2*r - g. What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 841, 873, 873, 835, 753?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -1\/40*f**6 + 0*f**3 + 1\/12*f**5 + 0*f**4 + 0*f - 4*f**2 + 0. What is the third derivative of k(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + p**2)*(12*p**2 - 36*p**2 - 5*p**2) - 4*p**4 - p**4 - 4*p**4.\nAnswer: -67*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54423 + 12431?\nAnswer: 111254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 2:30 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95981435 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: Solve r = 152*j - 154*j + 10, -r = 5*j - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 216, 203, 190, 177?\n\"Answer: -13*w + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1234 + 500.\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3 (c) -2\/5 (d) 192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 - 57784*j**3 - 1154952*j**2 - 2078784*j = 0. Calculate j.\nAnswer: -28872, -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 12*w**2 + 5*w. Let j(q) = -q**2 + q. Give -i(f) + 4*j(f).\nAnswer: -3*f**3 + 8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7622.\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34988, 69964, 104940, 139916?\nAnswer: 174892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from plkplpppuqpk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let c(s) = -25*s - 5. Let r(b) = c(b) - 4*f(b). Let z be r(-1). Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*l - 73*l + 3*g + 9, 5*l + g = -14. Which is the third biggest value? (a) -1\/4 (b) l (c) -1.7 (d) 0.7 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25727 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82885 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*u + 16121 - 16137 = 0, 8 = -2*a - 4*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + f**4 - 7*f**3 + 198 + 8*f**3 - 202 as d*f**4 + x + o*f**2 + h*f + q*f**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6 - 0. Suppose 5*l + 14 = 12*l. What is the smallest value in -2, l, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1008 and -131\/168.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 13) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8535 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in -2\/7, -0.92, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g + 5. Let c(a) = 10*a + 6. Let b(t) = 5*c(t) - 6*r(t). Let s(k) = -k. What is s(b(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 3*j**2 + 0*j**2)*(3*j - 5*j - 8*j)*(-2 + 4 + 0)*(31*j + 2 - 2) to b*j**4 + v*j**2 + n*j + r*j**3 + t and give b.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f + 15*f**5 - 39*f**5 - 4*f**5 wrt f?\nAnswer: -560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6 = 4*n - 0, 3*n + 1 = 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-10 + 24 - 12 - y + (-1 - 1 + 4)*(10*y + 0*y - 6*y)) in the form w + t*y and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*r + 89*r + 5*p + 19 = 0, -4*r + 8*p = -40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 14e038?\nAnswer: 14e04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:13 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116098789 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by 117\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4414199441?\nAnswer: 41, 107663401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 7*x**4\/24 - x**3\/2 + x**2. Let v be w(3). Suppose 5*i = v + 37. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46384\/7 - 6626. Which is the nearest to 0? (a) -3 (b) -2 (c) y (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/946*1342\/20374.\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 148850, 148842, 148830, 148814, 148794, 148770, 148742?\n\"Answer: -2*r**2 - 2*r + 148854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5 - 20*i**4 + 40*i**3 + 210*i**2 + 45*i - 270 = 0. What is i?\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -1\/2*y**2 + 22 + 0*y. Let l(m) = 2*m**2. Let q(x) = x**2. Let d(n) = -2*l(n) + 3*q(n). Determine d(c(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:14 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -101.1 and 0.336 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 399 + 215 + 216 + 13*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 3 - 3)*(i**3 + 4*i**3 - i**3 - i**3 + 4*i**3 - i**3 + (0 - 2 + 4)*(-2*i**3 + 3*i**3 + i**3) - 3*i**3 + 4*i**3 - 2*i**3).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 3\/(-2))*-12. What is the tens digit of (t\/(-27))\/(2\/69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 8, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 + 15)\/(2\/(-116)). Let r = 50 + q. Which is the second biggest value? (a) r (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 25. Let y be (-68)\/6*(-30)\/h. Solve m + 2*x = 1, 0 = 3*m - 5*x + 2 + y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 19922.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 - -331. Which is the fourth biggest value? (a) l (b) 0.5 (c) 20\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476 + 241 + c - 6*c**4 - 2*c**2 + 235 to the form k*c**2 + p*c**3 + j*c**4 + h*c + f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4320\/504 + (-24)\/42.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*c - 135*c - 124*c + 212.\nAnswer: -36*c + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -104.019. What is m rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.06. Let d = -0.11 - x. Is d not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144740 in -1, -7, 0, -1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 20*d - 76. What is v(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:41 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1695 - 0.047\nAnswer: -1695.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2273, 0.3, 4\/3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 12 + 22 - 7. Let h(j) = j - 1. Let k(z) = 3*h(z) + t(z). Let c(x) = 26*x. Calculate c(k(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*l**2*o - 932*l*o + 9*l - 21322873*o with respect to l.\nAnswer: 142*l*o - 932*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 4353554.1548.\nAnswer: 4353554.4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 15*j + 12*j**3 + 0 + 4.\nAnswer: 12*j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 947107633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - (sqrt(88) - sqrt(88)*3*3)))\/sqrt(8))**2 - ((sqrt(77) + (sqrt(77)*-1 - sqrt(77)))*-4)\/sqrt(7).\nAnswer: -4*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -2\/9 (c) 232\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5545668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843 + 1843 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -109*x**3 - 859*x**2 + 5. Let b(p) = -173*p**3 - 1288*p**2 + 8. What is -5*b(w) + 8*g(w)?\nAnswer: -7*w**3 - 432*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13027 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -559.8 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224473 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:34 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w**2 + w - 15. Let n be x(-5). Let o = n - -669. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**4 - 8*s**4 - 6*s**4 + (0*s**2 + 0*s**2 - s**2)*(-35*s**2 + 25*s**2 - 113*s**2).\nAnswer: 120*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 60, 77, 74, 45, -16?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/11)*z*z*z*z*z**(9\/2) assuming z is positive.\nAnswer: z**(179\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*l = -522*l + 9*x + 222, -4*l - x = 42 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16001 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -708, -160 in descending order.\nAnswer: 1, -160, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a = 5*h - 670, -47 = 3*a - 0*a - h - 87 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/15 + -4)\/(92\/(-460))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t - 3. Let p be c(15). Let s = 103 + p. What are the prime factors of (s\/(-10) - -1)*2?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoooggggooogoggogo. Give prob of sequence ggg.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n. Let p be y(2). Suppose q - p + 0 = 0. Let j = -2 + 7. What is the remainder when q is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**3*z**4 - 5*p**3*z**2 - 11*p**3*z - 89*p**2*z**2 + 3*p**2 - 45*p*z**4 + 2*p*z**2 + 34*z**3 wrt z?\nAnswer: -120*p**3*z - 1080*p*z + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199*o - 1194*o = 90820. Let p = -599488\/33 + o. Let h = 162700\/33 + -4931. Calculate the common denominator of p and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*f = -2*k + 670*f - 7, 0 = -4*k - 4*f - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.035 - 5.835. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*i - 6, -3*h + i = h + 3. Let j(s) = -s - s + 0*s + h*s. Let y(d) = 4*d. Give j(y(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f*f)**(-44)\/(f**(-4\/5)*f\/(f\/(f**12*f))*f) assuming f is positive.\nAnswer: f**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*s**5 - 25*s**2 + 4*s - 2*s**6 + 5*s**2 + 0*s**2 - 161*s**5 - 9*s**2 wrt s.\nAnswer: -240*s**3 + 3240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2376 divided by -391.\nAnswer: 2376\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.451 - 38.336. Let q = m - -74.6927. Let v = 11.9 - q. Round v to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2 + 1)*96\/(-80)*(-9800)\/(-630).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 22 = -12*f. What is the greatest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2 + 1290388*o + 10322848 = 0.\nAnswer: -322589, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - 10130021331?\nAnswer: -10130022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/(sqrt(8) + sqrt(32)\/sqrt(4)) - (sqrt(36) - sqrt(72)\/sqrt(2))\/sqrt(6))*1)\/((sqrt(432) + sqrt(432)*2 - sqrt(432))*-2))**2.\nAnswer: 1\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2416069704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from xxxxxsxxxxxsxsxb?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*j + 4*c + c - 5 = -145*j - 1, -3*c + 9 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.1 (c) 0.169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-390)\/12*(-3 + 1). Suppose 0 = -2*a - y - 0*y - v, -2*a - 80 = 4*y. Let p = 26 - a. What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.699 and -20622 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc4a14 (base 14) in base 10?\nAnswer: -6390010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000311087267 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/5 + 5 - -900 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*(-6)\/9)\/(-2). Let o be 9\/5 + i\/(-1). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-25) - (-9)\/5. Solve 2 - b = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708204 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - c4?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284317 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**3*i**2*w + 2*d**3*i*w**2 - 8*d*i**2*w**2 + d*i*w**2 + 2*d*i*w + 2*i wrt i.\nAnswer: -24*d**3*w - 16*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18.25 * -2\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -1792802*z**3 - 3*z**2 + 1792802*z + 3 = 0.\nAnswer: -1, -3\/1792802, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 5*r**3\/3 + 5*r**2\/2 - 2*r - 9. Let z(s) = -s**2 + 4*s + 5. Let o be z(4). Is g(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24564 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383291590 to the nearest integer?\nAnswer: 19578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 45441 - 45401 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 569277\/126 + 2\/4. Let q = 4526 - v. Calculate the common denominator of q and -40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 0 + 1\/5*m**2 - 1\/5*m**4 + 0*m + 1\/5*m**3 - 1\/5*m**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(4823\/(-96460)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 16 = 3*h - 4*r, 3*h + r + 1 = 0. Sort 74, h, -2 in descending order.\nAnswer: 74, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.332 - -21.24624. Round n to three dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 558*a - 558*a - 187*a**2 in the form x + f*a**2 + p*a and give f.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 982139177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2724068*i**3 - 10473*i**2 + 31*i wrt i?\nAnswer: -16344408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-61264)\/3282?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by 82030.\nAnswer: 83\/8203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((sqrt(75) - (sqrt(75) + 1)*2) + -4)**2).\nAnswer: -116 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3168 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v + 10. Suppose 35*j = 42*j - 28. Let i(o) = -7*o**3 + 5*o**2 - 5*o - 1. Let s(q) = -6*q**3 + 4*q**2 - 4*q. Give j*i(l) + v*s(l).\nAnswer: 2*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/5, -33\/13, 1\/2 in decreasing order.\nAnswer: 3\/5, 1\/2, -33\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -24*q - 3261. Calculate d(-136).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323813 is divided by 4986.\nAnswer: 4709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 195*r. Let b(o) = 2*o + 451. Determine b(n(y)).\nAnswer: 390*y + 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -663465 to the nearest one thousand.\nAnswer: -663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2448) - (sqrt(2448) - 6*(sqrt(2448) + (sqrt(2448) - 3*sqrt(2448)) + sqrt(2448)) - sqrt(2448)))*5)**2.\nAnswer: -61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2144.223l?\nAnswer: 2144223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 t when three letters picked without replacement from {t: 8, i: 3, n: 3, v: 1, q: 2, u: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*j = -3, -5*m + 1 = 2*j - 3*j. Suppose 3*r = 3 + 9. Sort r, -1, m in decreasing order.\nAnswer: r, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 6*h**2 + 2*h - 3. Let s be m(-4). Suppose 0 = 4*n - n - s. Find the second derivative of n*c - 4*c**2 - c**2 - 4*c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -27\/209?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2362749 and 653409?\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 20.8, 3\/8, 3073?\nAnswer: 3073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:33 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51724689 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6328 and 48.\nAnswer: 37968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1103*n**2 + n - 1112*n**2 + 2234*n**2 - 2*n**3 to a*n**3 + y*n**2 + m*n + z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/29))\/(s\/(s\/s**(-2\/13))))\/(s*s**2*s*s*s**3*s*s))**(-3\/4) assuming s is positive.\nAnswer: s**(9927\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86450, -86435, -86410, -86375, -86330, -86275?\n\"Answer: 5*u**2 - 86455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -4. Suppose 5*s - 403 = -w*y, -2*y + 4*y - 393 = -3*s. Suppose -3*q = 4*x - 792, 0*x - 3*q + y = x. What are the prime factors of x?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179587785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/42 + (3\/1)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-115)\/(-51))\/(-5) - 0. Let p = -2\/17 - r. Is -1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - (-15800)\/(-35250). Let v = -4\/47 + w. Put 0, 2, 5, v in increasing order.\nAnswer: v, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485072 is divided by 241974?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 - 12 = 0. Suppose 4*p = -5*w - 7 + 34, 8 = 2*w + 3*p. Is (2 - w\/u)*-75 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l + 3*l)*(-4 - 2 + 4) - 3*l + 0*l + 6*l + (3 - 3 - l)*(-2 + 0 + 4).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 7*g + 28. Let x be (2 + -1)*(-4 - g) + -218. Is 8 a factor of x\/(-4) + 8\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/13 - 6522066*m\/13 + 6522068\/13 = 0. What is m?\nAnswer: -3261034, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1148*m - 4521. What is n(-4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-5 + 2 + 1). Let t = 7 + l. Suppose 4*u + 5 = 5*b - t, b + 3 = 3*u. Are u and 1\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/14*(-4)\/12. Sort 0.02, -4, -0.04, 0.4, i in increasing order.\nAnswer: -4, i, -0.04, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 - -2) + 0 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -159 in descending order.\nAnswer: 5, -0.1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29184*n - 30 = -5*h - 29180*n, 34 = -3*h - 8*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/4 + (-30)\/(-8) + -3. Let p be (-3)\/1*i\/6. Suppose 12 + 0 = -3*l. Which is the second biggest value? (a) l (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 738 = 17*l + 2*i, i = -1. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114292861?\nAnswer: 47, 2431763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = -q - y, -3*q - 3*y = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 - 2*t**4 + 5*t**3 + 6*t**2.\nAnswer: -t**2*(t - 2)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h + 3\/2*h**2 + 0.\nAnswer: 3*h*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 294206 or 294203?\nAnswer: 294206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1047cb8 - 1?\nAnswer: -1047cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**3 - 6*c + 23*c**3 + 4*c**3.\nAnswer: -c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/7 of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99 + 56 - 2*l**2 - 196*l + 45)*(-2 + 2 + l) to h*l**2 + p + f*l + m*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687321615.\nAnswer: 3, 5, 31, 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/3)*r)**(-2\/29))**(-44))**(2\/167) assuming r is positive.\nAnswer: r**(176\/14529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from {q: 4, g: 4, o: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/5 - 5*n**3\/6 - 7*n. What is the second derivative of i(k) wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74659697 rounded to the nearest 100000?\nAnswer: -74700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -358719516 smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4\/4 - 11535*s**3 - 461795*s**2\/4 - 484995*s\/2 = 0 for s.\nAnswer: -7, -3, 0, 9238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3619, 7209, 10793, 14365, 17919, 21449, 24949, 28413?\nAnswer: 31835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-12)\/88*-4)\/3. Sort r, -4, -2\/5.\nAnswer: -4, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**4 + 22*y**3 + 14*y**2 + 2*y.\nAnswer: 2*y*(y + 1)**2*(5*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 16*z + 3848. Suppose z = 12*c + 86. Is c less than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233722852*w**3 + 36328409*w**2 wrt w.\nAnswer: -1402337112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 4*t + t)*(118 + 5*t - 31*t - 120) to the form m*t**2 + v + b*t and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 513 - 275 = 2*m, -3*m = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239\/6 - -40. Let j(c) be the second derivative of -1\/12*c**4 + c - g*c**2 + 0 - 1\/60*c**5 - 1\/6*c**3. Find x, given that j(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 111 - 33. Let t(p) = 2*p + 22. Let q be t(-9). Solve a - 3*z = 17, -4*z - f = -0*a - q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose u + 60 = j*u. Suppose -52 = -10*o - 3*o. Solve -o*d + 9*d - u = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462851 (base 13) to base 12\nAnswer: 682012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/6*r**3 - 19*r - 9\/2*r**2 + 0. Give x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 times -222?\nAnswer: -56832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1320510 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -66*c**3 + 11*c**3 + 29*c**3 + 31*c**3 + 7 - 36*c**2. Let v(a) = 3*a**3 - 18*a**2 + 4. Determine -4*b(p) + 7*v(p).\nAnswer: p**3 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*x - 18908, -3*g + 2*x + 1895 = -12281. Suppose -3*m + g = 9*l - 5*l, -2352 = -2*l + 3*m. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/5)*g**(1\/3))**21 assuming g is positive.\nAnswer: g**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-13)\/12 + -2. Let b = 2\/10017 + 40058\/50085. What is the closest to 1 in 2\/5, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317055831 less than -0.8?\nAnswer: 317055830.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-4\/5))\/x)*x**(2\/5))\/((x**(-2)*x)\/(x**(-1\/2)*x*x)) assuming x is positive.\nAnswer: x**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282 + 282. Suppose m = 6*y - 70 + 28. Solve 0 = -3*p + y*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3\/4, 284, -0.576?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (9 + 3 + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 + 6. Let s be -3 - 1*76\/(-4). Let y = s - 10. Let p(d) = -d**2 + 1. Let o(b) = y*p(b) - g(b). Let j(u) = -2*u. Give j(o(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7 - -12286)\/(19 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179663 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -914 + 918. Solve -3*n = -10 + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.341866 grams in milligrams?\nAnswer: 8341.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 245*r**2 + 5103*r + 7062554?\nAnswer: 490*r + 5103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f - f**2 + 4*f + 0*f)*(-2 + 3 + 3)*(-5*f + 4*f - 18*f)*(4*f - 5*f + 0*f) in the form q + a*f + l*f**2 + n*f**3 + k*f**4 and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (1 - -8) + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59441*z + 59443*z = -4*o + 60, 2*z - 17*o + 24 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**4 - 4*o**4 + 5*o**4)*(14 - 1 + 5)*(-4 + 2 + 6) in the form x*o**4 + s + h*o + q*o**3 + f*o**2 and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54160 and 4?\nAnswer: 54160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b8a (base 15) to base 4.\nAnswer: -12121312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o + 1. Calculate g(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30530307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 18*l**2 - 15*l. Let t be b(5). Suppose -31*r + 28*r + 15 = t. Solve -3*u - 17 = -5*i, -22 = 4*i + r*u - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-89)\/(-3) + (-18)\/27. Let r(x) = h - 67 + 38 - 2*x. Let m(b) be the third derivative of -b**5\/12 + b**2. What is r(m(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.5 (c) 0.03 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1986437375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25658045 and 62335.\nAnswer: 4795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 224. Suppose b = 5*x - x. Let j = x - 1. Calculate the remainder when 53 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 - 4124*w**2 - 15591*w?\nAnswer: 12*w - 8248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 + 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177 minus -53729154?\nAnswer: 53729153.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 2*i - 13. Let n(j) = 3*j**2 - 2*j + 12. Determine 4*n(o) + 5*s(o).\nAnswer: 2*o**2 + 2*o - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 6659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/10)\/((-3)\/(-8)). Suppose o = i + 22, 0 = q*o - o - 6. List the prime factors of 9\/2*i\/(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 + 298*g - 14625. What is p(28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14009 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t - 32. Let m be r(14). Let c = -43 + m. Solve k + c = -2*z, -k - z - 6 = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -615 (b) 3 (c) -11 (d) -4 (e) 5 (f) -3.6 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19263 is divided by 401.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 99. Let d = 0.18 + 0.02. Let h = 0.5 - d. Which is the closest to p? (a) -0.1 (b) -8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 457916 and 17.2.\nAnswer: 457933.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0878 + 0.073.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j + 30 = 0. Let q = j + 11. Let c(o) = 2*o**3 + 2*o**3 + o**3 - o**2. Give c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1442*g**4 - 117303*g**3 + 192928648 wrt g.\nAnswer: 5768*g**3 - 351909*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -98*d**2. Let p(i) = -45*i**2 - 1. What is j(p(l))?\nAnswer: -198450*l**4 - 8820*l**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 + 23*t - 9. Let v(l) = 17*l**2 + 106*l - 36. Let k(n) = -26*d(n) + 6*v(n). What is k(19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.166 and 139.6.\nAnswer: 139.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -1\/45583, -0.04, -5?\nAnswer: -1\/45583","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*4)\/sqrt(7) + -2 - (5 + sqrt(34)\/(-3*sqrt(2))).\nAnswer: -7 + 13*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/16 and 77\/204.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + k + 12 = 0, -k = t - 1 - 5. Suppose -g - 15 = -t*q, 0 = -10*q + 6*q - 4*g + 20. Is 16\/3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -5 (b) -4\/7 (c) -27 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.1 + -30.09. Let u be 4\/(-1218) - 2\/(-7). Let t = u + 2\/609. What is the nearest to t in w, 3, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3181500.\nAnswer: 2, 3, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:21 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15152895*s**4 - 10973910*s**2 wrt s.\nAnswer: -363669480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 - 3*j + 3. Let l(h) = 2*h**3 - 10*h**2 + 6*h - 6. Let b(i) = 6*l(i) + 11*z(i). Calculate b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:40 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7212, -0.3, -2\/41, 3?\nAnswer: 7212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let x(l) = -5*l**4 - 14*l**2 - 2. Let v(m) = -2*i(m) - x(m). Find the third derivative of v(j) wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 9*a**2\/2 + 2. Let w(o) be the first derivative of -3*o**2\/2 + 621. What is d(w(x))?\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*z + 30\/11*z**2 - 6\/11*z**3 = 0. What is z?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 74, 92, 114?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 12*i**2 - 7*i - 9. Let g be s(10). Suppose -3*q = x - q - g, -133 = -x + 2*q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179890.\nAnswer: 2, 5, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 32*i**3 - 11*i**2 + 11. Let o = -68 - -57. Let c(g) = 11*g**3 - 4*g**2 + 4. Calculate o*c(b) + 4*z(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s + 4. Let f = 480 + -467. Calculate the remainder when c(-4) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 26 + 4*n**3 + 14*n**2 + 13*n - 21*n**3 - 42 + 29. Let y(b) = 4*b**3 - 3*b**2 - 3*b - 3. Determine 6*d(q) + 26*y(q).\nAnswer: 2*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 11. Let t(o) = -o**3 + 5*o**2 + 7*o - 6. Let d be t(g). Suppose 5*z + 4*j - 17 = d, 3*z + j = -0*j + 6. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffrv when four letters picked without replacement from {r: 1, v: 1, f: 9}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l. Let n(t) = 10*t**2 + 3. Determine n(p(q)).\nAnswer: 250*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42170 is divided by 14048.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let j(p) = 36*p - 1. Determine d(j(k)).\nAnswer: -1296*k**2 + 72*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvuu when four letters picked without replacement from {v: 1, n: 6, u: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236463 - 5?\nAnswer: 236457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68024 is divided by 31007.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*i - 4*m + 40 = 186*i, -2*i - 2*m + 74 = 0. What is the smallest common multiple of i and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1327*n - 81*n**3 - 9777 + 1331*n + 9775 - 4*n**2. Determine q(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 219372, 221911, 226142, 232065, 239680?\n\"Answer: 846*p**2 + p + 218525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 164. Let i = -46 + w. Suppose -m + 3 = 1. Calculate the remainder when i is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**3 - 43*f**3 + 1 + 23*f**3 + 11 - 18*f - 112*f**3 wrt f?\nAnswer: -678*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 7. Let y(g) = -g + 2. Let o(z) = -z - 49. Suppose f - 2*c + 40 - 5 = 0, 0 = -2*f - 2*c - 70. Let w be o(f). Calculate w*y(s) - 4*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (129*w + 472*w + 209*w + 590*w)*(5 + 0 - 4 - 4*w**2) to the form o + j*w + k*w**3 + m*w**2 and give k.\nAnswer: -5600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11224 minus 903333?\nAnswer: -914557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 410980 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from {a: 2, w: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*d - 14, -3*d = -a - 0*d - 13. Let n = 2 + a. Suppose -n*p = -2*p - 10. Solve -s - 15 = -4*u, 0*s + p*u - 15 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12559060 is divided by 3150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 + 12599198*w - 25198404 = 0. Calculate w.\nAnswer: -6299601, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y - y + 32*y to j + c*y and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -261291.\nAnswer: 1306455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322641 + 0?\nAnswer: 322641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/19, 51, -4.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 62037*s**3 + s**2 - 7*s + 14. Let t be 39\/7 - (-48)\/112. Let l be w(t). Round l to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, q: 1, m: 1, k: 1}. Give prob of sequence em.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.57 - 107.57. Let z = 0.1 - 0.1. Which is the closest to z? (a) -4 (b) m (c) 0.2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 15*f + 470 = w, 0 = -2*f - 10. Suppose -4*u + w + 4251 = 0. List the prime factors of u.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 929925 and 450.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47875 is divided by 2944?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*m - 3*m - 51*m)*(7 - 19 - 16)*(2 - 1 + 0)*(0*m**2 + 0*m**2 + m**2).\nAnswer: -1736*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*x + 9, 2*b - 2 - 3 = 3*x. Suppose 0 = 4*p - 2*z - 18, -5*p + 20 = b*z + 4. Solve -4*y + p = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 57 = -16*b, 5*b + 116 = -6*r + 83 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974955539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.4639 + -1.0285618?\nAnswer: 53.4353382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200) + -2*sqrt(7200) + sqrt(7200) + sqrt(7200))\/(sqrt(10) - (sqrt(20)*-2)\/sqrt(2)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-170)*(-5)\/(-40)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(3 + sqrt(1088)) + 3 + 1)**2.\nAnswer: -16*sqrt(17) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -264477756?\nAnswer: -264477740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*v - 10075 + 10073, -3*f - 5*v = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 59a78?\nAnswer: -59a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494758 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f - 8. Suppose -k + f*k - 3*g = 303, 0 = 2*k - 3*g - 204. Suppose 4*j - t = k, t = -2*j - 3*j + 135. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 6:46 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -2\/11 (c) -0.08 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/130 and -29\/349193.\nAnswer: 3491930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/64 and 49\/12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 28660440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from wbbaw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 52. Let k = o + -8. Suppose -87 = -k*s + 193. What is the highest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*z - 3, -9*n + 2*z = -13*n + 18. Factor 4\/7*j**2 - 2\/7*j + 0 - 2\/7*j**n.\nAnswer: -2*j*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 + 76840?\nAnswer: 76828.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2036.464 - -19898.946. Let t = 21795 - u. Let i = t + 141. What is i rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176331 or 813?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -45*k**3 + 25*k**2 + 25*k + 25. Let i(t) = 11*t**3 - 6*t**2 - 6*t - 6. Give 25*i(d) + 6*y(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**1))**(-1\/19)*d**(-2\/11)\/(d**3*d) assuming d is positive.\nAnswer: d**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-512)\/16)\/(-8))\/78.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -7)\/(4\/(-8)). What is the greatest common divisor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1057001 and 59\/168707.\nAnswer: 51793049","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 456592664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 3*p**2 - 7*p - 2. Determine f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 10}. Give prob of sequence gyg.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.5 - -25. Let m = i - -10. What is the nearest to 1\/2 in 2\/3, m, -2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 4, -3.\nAnswer: -83, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169*k**2 + 149 wrt k?\nAnswer: 338*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 19 - (-1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2025 (base 8) to base 11\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68641\/28 + 17176\/7. Let n(u) be the second derivative of 0 + w*u**4 + 12*u**2 + 38*u + 0*u**3. Differentiate n(l) with respect to l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3354 (b) -88\/5 (c) 2\/3 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -10. Suppose 0 = -2*n - 2*w - 12, -2*w = 3*n - 3*w + 2. Let q be n\/(-7) - (-200)\/r. Solve -q = 3*u - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*q - 79816 - 40080. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.94. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 1\/9*d**3 + 0*d + 1\/12*d**4 - 1\/15*d**5 - 1\/6*d**2 - 5. Factor u(x).\nAnswer: -x*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203231120 + 2?\nAnswer: -1203231112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, 4, -5 in decreasing order.\nAnswer: 4, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(1\/7))\/(b*b**7))\/((b**(1\/4)\/b)\/(b**(1\/4)\/b))*((b\/(b**(-7)\/b))\/(b\/b**3))**(-2) assuming b is positive.\nAnswer: b**(-197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50263661.\nAnswer: 7, 1025789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276050834 or 276050835?\nAnswer: 276050834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.4. Suppose -4*f = -3*d - 5, -5*f + 0*f = -5*d. Suppose 0 = -f*g + 15. Which is the smallest value? (a) s (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from {b: 4, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100240 (base 5) to base 4\nAnswer: -301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 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: Calculate the greatest common divisor of 5190 and 1211.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 519300 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28363779 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/520 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -121, 53, 225, 395, 563, 729, 893?\n\"Answer: -m**2 + 177*m - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1052 + -447.1052. Let s = j + 476.65. Let b = s - 29. What is b rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:27 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 0*k**3 - 3*k**3)*(-3*k + 3*k - 3*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -697 smaller than -697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/12715882 and -21\/20.\nAnswer: 127158820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6480)*1)\/(sqrt(81)*2)*1)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 4, f: 6, m: 3}. Give prob of picking 1 f and 2 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Let m = 0.083 + -8.333. Let l = 0.75 - m. Which is the smallest value? (a) 0.5 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 24390*b**2.\nAnswer: -5*b**2*(b + 4878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1990 = -1657*b + 3651 + 987 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 9121 + 9121.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.018 - -1416140\nAnswer: 1416147.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s*s)**18\/((s\/(s*s\/((s**(-39)\/s*s)\/s)))\/(s**(-39)*s)) assuming s is positive.\nAnswer: s**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -23. Put 15, 2, b, -2\/13 in descending order.\nAnswer: 15, 2, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6408147 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211011210 (base 4) in base 14?\nAnswer: 3d508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from ccoonnoocnnnooonnc?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**0*l)\/l))**(-3\/7)\/(l**(-6\/29)*l**(7\/4)) assuming l is positive.\nAnswer: l**(-1601\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -6. Let v = q - 10.000001. Round v to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -6*t - 396. Suppose -t = -4*n - 36. Find the third derivative of 4*i**3 + i - i + 302*i**n - 269*i**2 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/17 + 648*x**2\/17 - 1962*x\/17 = 0.\nAnswer: -327, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7250325 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13439*w**5 + 7*w - 21 wrt w?\nAnswer: -268780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74250315570.7 from -37.\nAnswer: -74250315607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h = -90*h + 242176. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (20\/(-5) - -6)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*c = -5, 4*o + 2*c - 17 = 3*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55585257?\nAnswer: 3, 7, 13, 17, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Let k(p) = 2*p**2 + 158*p + 740. Let h be k(-74). What is the closest to h in 6, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 9. Let b be g(4). Suppose 2*p = -y - 3, -3*y + 3*p + 1 = b*p. What is the greatest common divisor of 77 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 5*k)*(-k**3 - k**3 - 2*k**3) - 9*k**4 - 5*k**3 + 5*k**3.\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1.53?\nAnswer: 0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 3, -2\/145, 36\/11, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 2*i + 2. Let j be h(-3). Suppose -a = a + j*z + 31, -z + 10 = -5*a. Let n = a + 26. What is the remainder when 43 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:15 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*t + 56*t = -177*t - 234*t + 2046 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = 2*a. Let i = a - -10. Let n(l) be the first derivative of l**3\/3 - 3*l**2 - 2*l - 471. What is n(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74253, 148469, 222707, 296979, 371297, 445673, 520119, 594647?\nAnswer: 669269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 0, 79 + 176 = -5*m + 3*p. Let f = m - -56. Solve 3*n = -f*n + 5*s + 15, -29 = -5*n - 2*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 19*c**4\/12 + 671*c. Let d(q) = -30*q. What is n(d(v))?\nAnswer: 17100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -5.09. Let r = 5.1 - d. Which is the smallest value? (a) 4\/7 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 3. Let r be c(-2). Let t = 379 + -381. Let x be (4\/(-3))\/r*90\/t. What is the highest common factor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - 0.08. What is the nearest to 0.2 in 4, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9*z = -6*z - 6, -2*t + 19 = 5*z. Let i = 74 - 299\/4. Which is the biggest value? (a) t (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((-9 - -8) + 1 + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1064994 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 38*x - 39*x = -18, -5*h + 5*x = 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 2*l**2 - 2*l. Let y be m(1). What is the tens digit of 6 - 3 - 12*y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 3192*x + 3*x**2 + 3200*x + 3187*x - 9579*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -63.\nAnswer: 23\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.0567 and -1.33.\nAnswer: 4.065411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 168 = 4*l. Suppose c - l = -3*c. Solve 10 = -n - 3*k, c = 5*n - 4*k - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 65, 5.9, 2.17, 5 in descending order.\nAnswer: 65, 5.9, 5, 2.17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -94*x + 3. Let i be f(2). Let c(t) = 10*t - 739. Let k be c(46). Let g = i - k. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*n + 3. Suppose -4*m = 3*j - j - 4, -n*m - 7 = 4*j. Solve 0 = 3*z - 4*z + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/3 (c) 0.03 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6761, 6401, 5551, 3965, 1397?\n\"Answer: -41*h**3 + h**2 - 76*h + 6877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:57 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(-1\/3))\/m))**(-5\/2) assuming m is positive.\nAnswer: m**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/(d**2*d*d))\/(d**(1\/4)*d**(-3\/2)\/d))\/(d*d**6*d**(1\/4)*(d**(-1)\/d)**(20\/7)) assuming d is positive.\nAnswer: d**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 - 2*c + 3. Let m(h) = 11*h**2 + 3*h - 5. Let l(g) = -5*k(g) - 3*m(g). Suppose -19 = 7*x - 33. Suppose 7*y - 5 = x. What is l(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:39 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 12\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(108)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f + 2. Let h(o) = -6753*o + 4452. Let i(a) = h(a) + 10*s(a). Differentiate i(l) wrt l.\nAnswer: -6683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66435, 265707, 597785, 1062669, 1660359, 2390855?\nAnswer: 3254157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-132)\/140 + 1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 410?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + g - 1)*(0*g + g - 2*g) + 48270 - 48270 + 3*g**2 + (3 - 3 + 1)*(-2 + 2 + 2*g**2) - 71*g - 10*g**2 + 71*g to q*g + l*g**2 + o and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22344)\/(-2352) + (-10)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**3 + 487*b**2 + 971*b + 473. Let m(l) = -6*l**3 + 244*l**2 + 486*l + 236. Let u(s) = -5*a(s) + 9*m(s). Factor u(n).\nAnswer: (n - 241)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*h = 308*h + 41288 - 32516 + 41894 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/4239 and -37\/206298.\nAnswer: 618894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 231?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 839 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144619\/146 or -992?\nAnswer: -992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x + 26*x + 38*x + 25*x - 125*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 89\/9309201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 28*u**2. Let s = 4 - -4. Suppose 2*k + s = 12. Let j(t) = -561 + 561 + k*t. What is x(j(q))?\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -943\/10. Calculate the common denominator of h and 1*2\/(-26)*(-145)\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q - 22 = 5*w, 0 = 5*q - 3*w + 14. Let a(d) = -13*d**3 - 5*d**2 + 2*d + 1. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350614.\nAnswer: 2, 11, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 380*w**3 + w**2 - 1. Let f be v(-1). Let o(m) = m**3 - 13*m**2 - 15*m + 12. Let l be o(14). What is the tens digit of (f\/8 - -1)\/(1\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w + 4*w)*(-1 - 1 - 4 + 4).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from rdrrprrccererzedd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/7)\/((-1644)\/(-7672)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.1413 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -2 - 22) + 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1106 - 13301\/12. Find the common denominator of 23\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16388 = -1433647*w + 1433888*w for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 22*c**2 - 71*c + 548. What is p(24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 5. Calculate the common denominator of w*(0 + 39\/(-24)) and -61\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n. Suppose -5*y - s + 7 = 3*s, -4 = 2*s. Let d(x) = 1. Let i(q) = y*d(q) + u(q). Let f(p) = 0 + 3 + 0 + 6*p. Calculate 6*f(l) - 5*i(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-96)*-15)\/((-4)\/16)*448\/(-28).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*t. Let x(a) = -a**2 + 5*a - 2. Let o be x(t). Let y be (1 + o)\/(1\/(-4)). Solve y*k - 17 + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 7, 14, 23, 34?\n\"Answer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*i = -195*i - 24. List the prime factors of 466\/3*(4 - (-10)\/i).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmeme. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/(-190))\/((-3)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2573*r - 982*r - 517*r = 3195*r - 472355 for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6914, -6900, -6884, -6866?\nAnswer: -6846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-25))\/(8\/((-8)\/(-11))*2)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 66755 - 177007 = 103716. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/13 (b) 4 (c) 69\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:27 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*w + 5*j - 7, w + 2*j - 14 = 0. Solve 2*x + w*f = 8 - 6, -f = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 709.739 - 709.7. Which is smaller: a or 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211201 (base 3) to base 13\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -789849012 + 789849087.9999918. Let x = 76 - s. What is x rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 11 = -2*v - 26, 0 = -v - f - 6 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 5*q, 0 - 1 = -5*q - 2*p. Suppose 0 = 8*y - 110 + 94. Calculate the greatest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:02 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59934 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*t - 0*t. Let c = t - 53. Let u = 9 - -1. What is the remainder when c is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00143072 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/2 - (-2)\/4. Let d = j - 68. Let z be 1\/((-48)\/d + -1). What is the greatest common divisor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306966779.\nAnswer: 7, 197, 222601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537259221 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(90\/6))\/(2 + 27\/(-6)). Let w = -4.8 - -0.8. What is the nearest to 2 in k, 0.09, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -35*z + 300. What is d(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 426*f**3.\nAnswer: -2*f**3*(f + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 332 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m - 1. Suppose 20 = 2*f + 2*u, 3*f - u + 2*u = 20. Find the second derivative of -4*l**f + 5*l**5 - m*l - 4*l wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15*y**2 + 6*y. Let m(i) = -5*i**2 - 2*i. Let h be (15\/((-4)\/(-4)) - 4)*(-13 - -12). What is h*m(g) - 4*f(g)?\nAnswer: -5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnnxssswsswssswsx. What is prob of picking 2 n and 1 w?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 86768.\nAnswer: 3470.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from pcbeu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 + -233. Let x be -3 + 5 + d + 9. Solve -5*h = -2*r - 20, 3*h + h - 16 = x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/61334 and 60\/161?\nAnswer: 1410682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let s = n + 14. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32296 + 58691. Is b a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(5202\/6919) - 21) + 3\/(-18)\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142006494 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 13 + -7 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 0)\/(56\/476). Suppose 0 = -g - 8*m + 3*m, 0 = -2*g + m + 11. Suppose o - g = 12*i. Is 1\/8 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 80. Sort n, -5, 0.3, 0.6 in ascending order.\nAnswer: -5, n, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 1. Let f(h) = 10*h - 3. Let p(t) = -2*f(t) + 7*m(t). Let n be p(6). Solve 6 = n*q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -599*x + 598*x - 4. Let q be (-2 + (2 - 1))*3. Is q > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 3*r. Let o(w) be the second derivative of w**4\/3 - 7*w**3\/6 - w. What is -7*f(s) + 3*o(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 24292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2824 + 1703 + 1548)*(2 - 2 - 3*x) to k*x + b and give k.\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-26)*(-4)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a - 21. Let s = a - -12. Solve s*o + 12 = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.45573mm in meters?\nAnswer: 0.08445573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2. Let r(o) be the third derivative of o**4\/24 - o**2 - 2. What is r(z(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 33314 = 11314. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(90\/6))\/((-1)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 3*n - 4. Let z be a(6). Suppose 4 = 15*h - z*h. Suppose 3*p + 4*t + 18 = h, 3*t = 4*p - 23. Solve -p*d = -3*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 194\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (8 - 13 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-182) + (-3175)\/1778)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:13 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + g**3 + 8*g**2 - 8*g - 5*g - 8. Let k be n(-9). Let f be ((-25)\/k)\/(3\/1332). Round f to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from pvpjzzzzxpp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -2. Determine o so that 4*o**x - 3*o + 6*o - o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**7\/252 + k**5\/12 - 3*k**4\/4 - 9*k. Let z(o) be the third derivative of u(o). Differentiate z(n) with respect to n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 231 - 275 = -11*m. Let u(b) = -145*b**3 + 11*b - 11. Let o(s) = -29*s**3 + 2*s - 2. What is m*o(p) - 2*u(p)?\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8215.45 to the nearest 10.\nAnswer: -8220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 14 - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**5 + 5*p**5 - 4*p**5)*(2 - 1 + 0) + 0*p**5 + 0*p**5 + 2*p**5 + 0 + 0 - 2*p**5.\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**4 - 9540*r**3 + 4846735*r**2 - 613731300*r - 47601976500 = 0?\nAnswer: -53, 390, 1181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -k. Suppose -5*a + 14 = -4*w + 2*w, -6 = a + k*w. Suppose -g = -2*b + 10, 3*b - a*b + 5*g = 16. Round b to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4942\/(-6354) - 1\/(-36).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 - 20*w + 20. Let m be f(9). Solve -5*n + 0*n + 12 = m*t, -4*t = -n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 19*f**3 - 16*f**2 + 29*f - 8. Give v(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.011 + 0.911. Let w be 155\/558*(-18)\/(-60). Which is the nearest to -1\/2? (a) w (b) -0.1 (c) -0.04 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -8 + (-1 - 2). Let f be -1 - -1*(-2)\/r. Which is the biggest value? (a) f (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*t**2 - 28*t**5 + 63*t**4 + 7*t**4 + 29*t**5 - 16*t**4 + 25*t**4 wrt t?\nAnswer: 60*t**2 + 1896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.2, -10, -1\/7 in decreasing order.\nAnswer: 0.3, 0.2, -1\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1555*f**5 - f**2*q**2 + f + 25*q**2 - 13*q - 6 wrt f?\nAnswer: 31100*f**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-4) - (-93)\/(-124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2. Let c(t) = t - t + t + 109 - 177 + 179. Determine c(u(d)).\nAnswer: 4*d**2 + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 17*x - 15. Let v be w(-15). Suppose 7*b - 2*b - v = 0. Suppose b*r - 717 = 306. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -19*y + 125. Let o(l) = -3*l - 2. Let m(z) = 2*n(z) + 4*o(z). Differentiate m(q) wrt q.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/147376 and 79\/3315960.\nAnswer: 6631920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {x: 11, o: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 2*g - 4. Let p be -3 + (3 - 0) + 8. Let r = 4 - p. List the prime factors of t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 8614579?\nAnswer: -8614579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -5 + (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/510 and 31\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 303177636 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 601.22 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o = 22*o - 186 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r = 1813 - 1448 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4695497 is divided by 146.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -1\/135*w**5 + 0*w**3 - 2 - 1\/9*w**4 + 0*w + 3*w**2. Solve z(p) = 0 for p.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 25. Let s = 3 + w. Solve 0 = -3*m - m - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-901)\/34 + 28)\/((-9)\/42) + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1223466, -1223441, -1223412, -1223379?\nAnswer: -1223342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3980, -1, 5, -4, 9 in ascending order.\nAnswer: -4, -1, 5, 9, 3980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*o - 2*c, -o + 3*c + 20 = 5*c. Let j(x) = x - 10. Let v be j(o). Suppose v = 4*q + 16 - 104. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339\/(-226)*(-10)\/(-255)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 637, 2201, 5267, 10339, 17921?\n\"Answer: 84*n**3 - 5*n**2 - 7*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 4*q**2 + 22*q**2 - 20*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*u = -81*u + 12. Let b(f) = 0*f + 6*f + 4 + 0*f - u*f. Determine b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/2)\/a)*(a**(-5)*a)\/a)**16\/(((a**(-3\/7)*a)\/a**(-4))\/(a*a**(-2\/7))**(1\/4)) assuming a is positive.\nAnswer: a**(-1691\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 + 5*b**2 - 60 + 4*b + 26 + 36 in the form x + a*b**3 + v*b + d*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 22*q**2 + 49*q + 61. Let j(v) = 5*v**2 + 12*v + 15. Let u(s) = -2*g(s) + 9*j(s). Give u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(252)*1)**2 - sqrt(252)).\nAnswer: 36*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 20, -5 in decreasing order.\nAnswer: 20, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -4.1. Let x = 0.23 - 3.43. Let b = x + a. What is b rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)*-4 - (-5 + sqrt(8))) + 1 + (0 + sqrt(162))*-3)*-5)**2 + -2.\nAnswer: -12300*sqrt(2) + 84948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.88 + -0.38. Let f = -7.5 + u. Let d = -6 - -7. What is the closest to 2\/5 in d, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8*u)*(-30 + 10*u + 30).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 858 and 43758.\nAnswer: 43758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5702 is divided by 2801?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.5.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*n + 86942883391 + 59355822356 = 34058005747. What is n rounded to the nearest one million?\nAnswer: -392000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*r + 82 - 7, -2*r - 110 = -5*l. Let t = l - 15. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + 72 - ((-6 - -6) + (3 - -1) + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2521.482 + -2709.6. Round z to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -212.2.\nAnswer: 169.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 45\/1798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:39 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -1\/6, -0.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + 1 + (-3 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpy when four letters picked without replacement from sqysqysqqsrqqpyqpy.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-1836)*136)\/((-2)\/3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 at most 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/50 and 7\/((-175)\/4)*(-200)\/(-275).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*3*(sqrt(75) - (1*sqrt(75) - sqrt(75))))**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -53.3. Let c = -3.4 + 3. Let v = c + m. Round v to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 10304?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15553284.\nAnswer: 2, 3, 89, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(7\/4)*j*j\/(j\/j**(-3\/8))*(j**24)**16 assuming j is positive.\nAnswer: j**(3079\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 196*w**3 - 892*w**2 - 2356*w - 1272.\nAnswer: 4*(w - 6)*(w + 1)**2*(w + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 divided by -11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/15, -7, 5.937, 2\/13, -5, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0709? (a) -0.67 (b) 3.9 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**4 - k**3 - k**2 - k - 2. Let h(o) = 11*o**4 + 2*o**3 - 28*o**2 - 4*o - 8. Let b(v) = h(v) - 4*u(v). Solve b(j) = 0 for j.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c5c9 + -72?\nAnswer: 14c557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/153 - 9\/((-51840)\/2950) and -20\/397?\nAnswer: 25408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -151510, -151508, -151506, -151504, -151502?\n\"Answer: 2*u - 151512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 679628 divided by 2\nAnswer: 339814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 2, -3, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*z = 2, 3*z = -3*f - z - 8. Let y be (-1 - 0)*-1*2. Suppose 4*c = 5*s + f, 5*c = y*s - 6 - 6. Is s greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -29. Let b = -12 - a. Find the second derivative of 2*q**2 + b*q - 2*q + 4*q - 7*q**2 wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 25*r + 127 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -179.\nAnswer: -5\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1406.\nAnswer: -2\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 - 5*d**3\/3 - 11*d**2\/2 - 13*d + 281. Let y(r) = -3*r + 3. Suppose -t - 8 = -3*t. Let w be y(t). Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 176*c**2 + 716*c - 716. Give i(-180).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n + 6*n**2 - 38*n + (n + 2*n - 2*n)*(2*n + 4*n - 2*n) in the form l*n + v*n**2 + d and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.0921\nAnswer: -0.03684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20*m**(2\/31))**(-35) assuming m is positive.\nAnswer: m**(-21770\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (33 - -4) + -33?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857598512?\nAnswer: 2, 53, 59, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 17. Calculate the remainder when 41 is divided by o(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386680 is divided by 1449.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164225\/18 + 9127. What is the common denominator of 121\/10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n - 282 + 282.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2175\/290 - (-9826)\/(-1309).\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from hkykhkhhmm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + -472?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/2, -29, 12?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:22 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/5 + 3*t**3\/2 - 10*t. Find the second derivative of o(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/15 - 2552\/(-660).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38596 < 3\/11009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -50. Suppose -3*t + z = -0*t. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1265*h + 3989. Let b be y(-3). Calculate the greatest common divisor of b and 3589.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 16*d**2 - 31*d - 7. What is the remainder when 68 is divided by y(-14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 15*y**2 + y + 49. Let j be k(-15). What is the highest common divisor of 102 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 13. Let x be v(6). Suppose 8*p + x = -25. Let z(a) = -15. Let s(i) = -i + 31. Let c(w) = 6*s(w) + 13*z(w). Calculate c(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1392?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/2 (b) 2\/3 (c) -3\/7 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7339*k + 95589. What is q(-13)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -8) + -2*(-732)\/(-84).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 1 + 3 - (-11 - 1). Suppose m*l - 2 = 8*l. Solve -h - 10 = l*v, h + 4 = -v - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91a1 - 184a?\nAnswer: 7452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 35871*s + 8856474.\nAnswer: -3*(s - 12199)*(s + 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 561 divided by -274312\nAnswer: -33\/16136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 82.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14401 (base 6) to base 14\nAnswer: -ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710 is divided by 1656.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*v + 3 - 22*v + 40*v)*(-2*v**2 + 2*v**2 + v**3) to k + i*v**3 + b*v**4 + f*v**2 + d*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 95884 = -2*o, 3*a = 1 - 19. Does 106 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -701, -1634, -2945, -4628, -6677, -9086?\nAnswer: -11849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 675188, 675184, 675180?\n\"Answer: -4*c + 675192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q - 5. Let y(d) = 6*d - 3. Let u(n) = -2*b(n) + 5*y(n). Let m be u(7). Suppose -1 = -k + m. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2254, -4444, -6634, -8824, -11014?\nAnswer: -13204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -4*d**5\/15 + d**2 + 7. Let y(p) = p. Calculate y(o(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 1, h: 12}. What is prob of sequence hqq?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:49 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809328 is divided by 18821.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71424384.\nAnswer: 2, 3, 23, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4769, -19180, -43199, -76826, -120061, -172904?\nAnswer: -235355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/2 (b) 203 (c) 2 (d) 0.1 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-243))\/(0 - 1). What is the closest to -51 in 3, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -450. What is the lowest common multiple of 42 and z?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33781901 is divided by 152.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -10, -4.\nAnswer: -24, -10, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -914 in -0.2, -946, 4?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 425 - 55 = 0. Let y be (184\/h - 6)*(5 + -2). Sort -0.01, y, -1\/2, 0.2 in ascending order.\nAnswer: -1\/2, -0.01, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21751817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -548\/444557?\nAnswer: -548\/444557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, 0 in increasing order.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(126336\/168))\/((-3)\/1536).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - m = -60, v - m + 20 = 4*m. Let r = 495\/8 + -4339\/72. What is the common denominator of 61\/v + (-12)\/(-8) and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -3)\/((-15)\/((-30)\/(-4))). Which is smaller: 9\/20 or x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/3 + 233*b**2 + 936*b + 13874. Suppose m(k) = 0. Calculate k.\nAnswer: -2, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15\/4, -3, -2?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = 5*v, -4 = -0*v - 4*v - 4*d. What is the derivative of 0 - 6*u**3 + u**v - 5 wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 114 + 17. Let a = x - 58. Let h be (-6)\/(-4)*208\/a. Solve 0 = -3*y - 2*l - h, 3*y - 5*l - 1 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(637) + 1 - sqrt(637)) + (-4*(sqrt(637) + sqrt(637) + (sqrt(637)*2 - sqrt(637)) - sqrt(637)))**2 - ((-3*(sqrt(637) + 1 + sqrt(637)))**2 + -4).\nAnswer: -252*sqrt(13) + 17832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 5) + -4 - -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*m + 44, 3*m + 4 = -2*h - 26. Let k = -7 - h. List the prime factors of (-2)\/k + (-776)\/(-40).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q + 8. Is (q\/((-9)\/1347))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 499\/80 + -15\/16. Let z(v) = -v**3 - 10*v**2 - 10*v - 7. Let b be z(-9). Find the common denominator of h and b\/42*708\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23796191*u + 12579687.\nAnswer: 23796191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -872) + (-70)\/(-10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182298 divided by 2?\nAnswer: 91149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15990 + -15904. What is the remainder when d is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12657 is divided by 195.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -78. Suppose 4*n - 142 = -5*r, 4*r + 4*n - l = n. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4888800 - -0.3\nAnswer: -4888799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -633, -2.13?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 4. Let v be i(-6). Suppose -2*u + 2 = -6. Sort u, v, 1 in descending order.\nAnswer: u, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -25, -15, -1, 17, 39, 65?\n\"Answer: 2*v**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhheqqqhhqyyqqhex. Give prob of sequence exe.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {t: 4, c: 4, j: 1, f: 1, g: 1, e: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.91 - -10.11. Which is the fourth smallest value? (a) 3 (b) 26 (c) -3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beebbubu. Give prob of picking 1 b and 1 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003479175 rounded to 4 dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -f*t + 6 = -102. Suppose -b = -5*h + 185, -3*h + t = 4*b - 61. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68805 and 45870?\nAnswer: 137610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011 (base 3) to base 11.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 54311 - 14311 = 0. What is c rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**13\/l)\/l*l*l\/((l*l**(-17))\/l))\/(l**(-6\/17)*l**(-12\/13)))**(-1\/6) assuming l is positive.\nAnswer: l**(-1152\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -155430233 (base 6) in base 11?\nAnswer: -1987169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23368668 and 1674.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)*1 + 0. Let v be 86\/10 - 15\/25. List the prime factors of w\/4 - (-58)\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 10 = j, 279*c - 274*c - 13 = 2*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87\/7 - 90\/7. Which is the smallest value? (a) 4\/7 (b) 3 (c) i (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -6.1. Let o = 5 + -10. Let d = j - o. Which is the third biggest value? (a) 3 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*s + 12160*c - 12155*c, -4*s = 4*c - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 688, 1030?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.585 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -23358\nAnswer: -1\/11679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/828 and 91\/206225268.\nAnswer: 618675804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79929038 = -5*k + 2*u, -2*k = -u + 4*u + 31971600. Let o = k + 239692429\/15. Let i = -6307 - o. What is the common denominator of i and -47\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddlvwdvvvvw. Give prob of sequence vldd.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -34, -3, -4 in descending order.\nAnswer: -3, -4, -34, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240\/1601 + 2561\/6404. Factor c*j**2 + 4*j + 16.\nAnswer: (j + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 33.81833.\nAnswer: 0.3381833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*a - 29, 2*a - 12 = -3*t + 5. Suppose -5*z - 4*n + 1 + 26 = 0, 5*n = -t*z + 30. Solve -u = z*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*x. Let s be (-1)\/x + (-4)\/4. Let w = -1 + 6. Solve s = -a + 5, m + 35 = -m + w*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 80*m - 80. Let u be l(-39). What is the nearest to -15 in 0, -0.5, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 (base 10) in base 5?\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -175187609 and -0.053.\nAnswer: -175187609.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31977347 or 31977346?\nAnswer: 31977346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 + 3495*i**3 + 4069488*i**2 + 1578658636*i = 0.\nAnswer: -1219, -1138, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-70)\/(-8))\/((-1)\/(-8)). Suppose 2*n - 5*c - x = 0, 4*n + c = 2 + 94. Solve -2*d + 5*u = -3*d - 5, 5*u + n = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 3, r: 2, p: 3, z: 1, x: 2}. What is prob of picking 1 s, 1 p, and 1 z?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 40*d**2 + 176*d + 39. Calculate x(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106463001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 109*g - 114*g. Let p(i) = i**2 - 5*i. Determine p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15025*x - 5014*x + 1 - 5011*x - 5013*x.\nAnswer: -13*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -1. Let g = u + 10. What is the second smallest value in -0.2, -0.05, g?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1 = -x, -x = 2*x - 4*m - 19. What is the hundreds digit of ((-8)\/(-6))\/(x + 34581\/(-3843))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let j = 163.1 + -162.7. What is the second smallest value in j, -4, 1, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*z - 26*z + 3*q - 24, -3*z - 40 = -5*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 12*s - 19. Let w be x(3). Solve -3*j + 8 + w = -4*t, -4*j - t - 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/((-17)\/(425\/10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -28. Let i = 8 + q. Solve i*g + 3 = u, -g + 0*g - 9 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m + m**3 + 10*m**3 - 5*m**3 - 5*m**3 + 178*m to i*m**2 + n*m**3 + f*m + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.049 and 59639?\nAnswer: 2922.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1329, -3258, -5187, -7116, -9045?\n\"Answer: -1929*i + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39126*b**3*v**2 - 10990*b**2*v**2 wrt b.\nAnswer: 234756*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t - 62 + 62)*(8 - 8 - 24*t)*(3 + 1 - 1).\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/4 + 6735*g**2\/4 - 6732*g + 6731 = 0. What is g?\nAnswer: 2, 6731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1054, 2105, 3156?\n\"Answer: 1051*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, b: 4, z: 3, c: 1, f: 7}. Give prob of picking 2 b, 1 r, and 1 f.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22845775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -489*a - 619*a - 64*a to s*a + f and give s.\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 541942*v**2\/3 - 4335584*v\/3 - 2890400.\nAnswer: (v - 541950)*(v + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 4) in base 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208.37 + 0.8.\nAnswer: 209.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5535\/(-63) - (-2)\/(-14). Let s = w - -187. Calculate the smallest common multiple of s and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463871854864 - -463871656481.7100024. Let m = w - -198371.29. Let j = -11 - m. Round j to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -102, -103, -104, -105?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344755.1mg in tonnes?\nAnswer: 0.0003447551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 = 6*d + 442 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/4 - 7*h**3\/3 + 13*h**2 - 26*h + 158. Let x be r(-10). Solve 16 = a + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569.\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1008)\/(-80) + (1 - 1) and (3\/4)\/((-5)\/(-26)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from uuzazjazuzzz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1750936744 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 285553442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/28 - (-2)\/(-7). Let c(g) = 8*g**3 - 6*g**2 - 2*g. Let r(t) = -55*t**3 + t**2 + 56*t**3 + 4*t - 5*t**2 - 5*t + 3*t**2. Determine i*c(a) - 4*r(a).\nAnswer: 4*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - 321\/5. Let r = m - -105. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216) - 2*(sqrt(1216) + 0)))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*l + 4*k, 76*l - 73*l + 3*k + 18 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18*c + 10*c + 9*c - 66*c + 13*c.\nAnswer: -16*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 - 7*b - 19. Let c be g(-2). Which is smaller: c or -45?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021735238 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58937 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*n + 2*r + 292, -20 = 192*n - 193*n - 2*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35.65*-0.22\nAnswer: 7.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {k: 11, e: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11601, -46404, -104411, -185622, -290037, -417656?\nAnswer: -568479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01444749 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*f + 3*f - 4*i, -3*i = 3. Find o such that 1670 - 1670 + 3*o**f + 3*o**2 - 3*o**4 - 3*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126, -126, -110, -72, -6, 94, 234?\n\"Answer: x**3 + 2*x**2 - 13*x - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1245 + -1243. What is the remainder when 134 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -9 (c) -5 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7*a - 4*a = -4, -2*b - 5*a - 12 = 0. Solve b*n + 5*p + 10 = -11, -3*n - 2*p - 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/42 + (-2)\/7. Suppose -4*p - p = -20. What is the highest common divisor of o and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31250937*d - 69847245?\nAnswer: 31250937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239779 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q))**(2\/89)*(q\/q**(-7\/6))\/(((q\/(q\/(q*q*q**5))*q*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-3103\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + 1. Is 2 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 5579?\nAnswer: 5584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/17, 3\/4, -2796\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/3, 0.14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 13*a + 4*f = 10, 15 = 4*a + 3*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*z - 24, 8*n + 3*z + 15 = 10*n. Solve -u - n*x = 7, -10*x + 6 = -2*u - 14*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66277 is divided by 576?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 27. Let s be a(0). Let h be ((-3)\/s)\/(7\/14). Determine r so that 2\/9*r**3 - 2\/9*r + 2\/9*r**2 - h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 2*l**2 - 7*l + 5. Let y be z(4). Suppose -4*k - 416 = -6*k. Let r = k + y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - s - 100 = 0. What is the second derivative of 12*v - 79*v**5 + 69*v**5 - s*v + 17*v wrt v?\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11880 is divided by 1663?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*b + 20, -16 = -2*r - 5*b + 3*b. Let l be (-2 - 1) + (5 - r). Is 2*(3 - 127\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16720637*q - 6658338.\nAnswer: 16720637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 370.1 + 50.9. Let g = v + -421.000158. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y**3 + 275*y**2 + 1655*y + 760 = 0.\nAnswer: -19, -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000010314 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -210bb4b (base 13) in base 11?\nAnswer: -5745513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-498)\/46563*(-33)\/9.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 9) to base 15.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324918445.\nAnswer: 5, 1061, 249749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/(36\/126)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230469560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -43) + -24 - (0 + 4) - (1 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 2. Let k(q) = 4*q - 2. Let p(i) = 3*d(i) + 2*k(i). Let g = -7 - 6. Let f be p(g). What is the greatest common factor of 165 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3101, -3657, -4213?\n\"Answer: -556*k - 2545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**10\/10080 - v**9\/5040 + v**8\/1120 - 3*v**4\/4 - 7*v. Let f(c) be the third derivative of d(c). Factor f(r).\nAnswer: -3*r**3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121329457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 5 + 2*b**3 + 2*b**2 - 5 + 2*b to the form a*b + s*b**3 + o + l*b**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910766*g**2 - 389*g**3 - 1821493*g**2 + 910727*g**2.\nAnswer: -389*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let x(c) be the third derivative of -7*c**5\/60 - 94*c**3\/3 - 1648*c**2. Calculate p(x(z)).\nAnswer: 28*z**2 + 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4125 + -8635. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 10*o**2 - 9*o - 27. Determine b(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-168)\/(-16)*(1 - 3). Let p = l + 46. Suppose 0 = -10*a - 5 + p. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 3*r)*(4 + 5 - 2) + 1 - 3*r - 1 + 0*r - 2*r + r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/40 - 19*r**5\/20 + 63*r**4\/4 + 72*r**3 + 2292*r**2. Find v, given that i(v) = 0.\nAnswer: -24, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -822*o**3 - o**2 - o - 1039. Let t(c) = 5*c**3 + c**2 + c - 1. Let u(r) = q(r) + t(r). Differentiate u(d) with respect to d.\nAnswer: -2451*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2626.641793 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002900914162 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 6 - 9. Let n(s) = 2*s**2 + 4*s - 2. Let q be n(g). Calculate the greatest common divisor of 196 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 31*s - 18. Is 15 a factor of a(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 3. Let b be h\/((-9)\/(-6) + -2). Let r = b - -9. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41300 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*3\/3)\/(-2). Suppose t = -2*q + q + 11. Find the third derivative of -q*o**6 - 15*o**2 + 3*o**2 + 5*o**6 wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*h**3*t + 147*h**3 - 22599*h**2*t - 3*h**2 + 358*h - 6*t - 25 with respect to t.\nAnswer: 19*h**3 - 22599*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:57 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-14))\/((-138)\/42 + 3). Suppose s - 4641 = 3*b + b, r*b = 3*s - 13907. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-6 - (7 - 34)) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 8*n**2 - 6*n - 7. Let r = -5125 - -5140. What is the remainder when g(-5) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(245))*2)**2.\nAnswer: 2800*sqrt(5) + 24900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**4 - 5326*d**3 + 14229*d**2 + 8884*d - 10668 = 0.\nAnswer: -1778, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260294*8.3.\nAnswer: -2160440.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 - 2*y**3)*(2*y**2 + y - y) + 2*y**2 - 2*y**2 + y**5 - 10*y**5 - 6 + 5*y**5 + 4*y**5.\nAnswer: -4*y**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 11. Suppose -3*v = 2*a - 7*v - 16, v + 58 = 5*a. Calculate d(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**6\/75 + 17*u**5\/25 - 19*u**4\/6 + 62*u**3\/15 - 548*u. Suppose w(g) = 0. Calculate g.\nAnswer: 0, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9182240290.73+25\nAnswer: -9182240265.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9923869*f**2*u**3*x**2 - f**2*u**3*x - 2*f**2*x**2 - 780*f**2*x + 652*u**3 wrt x?\nAnswer: 19847738*f**2*u**3 - 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/216*(-2)\/(-13).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 19*w**2 + 69*w + 40. Calculate the remainder when 1164 is divided by h(22).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -170602c - 4?\nAnswer: -1706032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247\/10 - 49\/2. What is the nearest to 0.029 in -0.1, u, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:03 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Let p(o) be the second derivative of -1\/6*o**3 + o + o**2 - 1\/12*o**4 + w. Find c, given that p(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30025883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269808.\nAnswer: 2, 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*a + 84*a - 1037789*a**2.\nAnswer: -1037789*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155882?\nAnswer: 2, 41, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r - 2*t, -t = 722 - 724. Sort 228, 5, 0, r in decreasing order.\nAnswer: 228, 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrbrrr. What is prob of sequence br?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 365. Let z(n) = 8*n + 360. Calculate 5*t(o) + 6*z(o).\nAnswer: -2*o + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558054505 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 10*g = -2. Let t(s) = 8*s**3 + 4*s**2 - 9*s - 9. Let p(l) = -2*l**3 - l**2 + 2*l + 2. Let n(k) = 9*p(k) + 2*t(k). Is n(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40683075703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -37516.6165 to the nearest integer.\nAnswer: -37517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3*t**5 + 21439*f**3*t**2 - 10*f**3*t - 28*f**3 - f**2 + 3*t wrt t.\nAnswer: -100*f**3*t**3 + 42878*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/426)\/((-29)\/(-174)))\/(7 - 6)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.36.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 - -200. What is the closest to i in -3, 0.1, -134?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8 and 51\/15496.\nAnswer: 15496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (114 + -108)*(-1)\/(-3). Suppose 2*y + 2*y = -2*k + 14, 3*y - k + 2 = 0. Suppose z + 0 - y = 0. Put j, 3, z in ascending order.\nAnswer: z, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486700.\nAnswer: 2, 5, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 9, -2\/9, -1\/4, 3\/7, 1\/4, -965?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1289 and 115?\nAnswer: 148235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123031122 + -10?\nAnswer: 1123031112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 15 - (4 - -1)\/(-1). What is the third derivative of 65*v**4 - 17*v**6 + 5*v - f*v**6 - 64*v**4 + 4*v**2 wrt v?\nAnswer: -3480*v**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, j: 2}. What is prob of sequence rrrr?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*f + 11*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 13*l + 68. What is the remainder when 155 is divided by s(16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 1\/54 (c) -3\/2 (d) -562 (e) -0.07 (f) 464\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 - 2*c**2 + 17*c. Let g(v) be the second derivative of v**5\/2 - v**4\/4 + 25*v**3\/6 - 8*v - 155. Determine 5*g(w) - 7*p(w).\nAnswer: w**3 - w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -887565\nAnswer: -887560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/69, -0.4, 2\/7, 3?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 9:44 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 6 = 0. Suppose -2*i + h + 7 = 0. Let r(d) = 1 - i + 2*d + 6*d - 6*d. Determine r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**2 - 10*q + 21. Let u(w) = -56*w**2 - 50*w + 116. What is 22*c(n) - 4*u(n)?\nAnswer: -18*n**2 - 20*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:42 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 3, -10, 0.\nAnswer: -10, -3, 0, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + 70*a + 96. What is c(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:21 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 644331 and -111.2.\nAnswer: 644219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3331112010 (base 4) to base 8\nAnswer: -3752604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/125 and 24\/1375.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -0.3. Let q = 3 + 0. Let n be ((-128)\/(-8) + -14)*6\/72. Which is the nearest to q? (a) n (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7373447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -285, -286, -287, -288, -289?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*408.\nAnswer: -163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/105)\/((-82)\/123).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639723 is divided by 14192?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 10*h - 5. Let l(w) = w**2 - 2*w - 1. Let j(n) = 2*i(n) - 10*l(n). Let a(p) = -152*p**2. What is a(j(u))?\nAnswer: -608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(19)) + sqrt(1216) + 1 + (-3 + (2 + sqrt(19) - sqrt(19)) + sqrt(19) + -4 + 2)**2.\nAnswer: -3*sqrt(19) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(10\/9)*y*y)\/y*y\/y**(-5))\/((y\/y**1)\/((y**(1\/3)\/y)\/y)))**(-45) assuming y is positive.\nAnswer: y**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Suppose -5*z = -4 - w. Let l = -432\/7 + 62. Are z and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*s - 4802 = 1303 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y**0 assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/87)\/(30\/342) - 2*6\/(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/513 and 65\/628668?\nAnswer: 11944692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and 23306.52?\nAnswer: 13051.6512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -206 and -206 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -0.5, -5\/2 in increasing order.\nAnswer: -5\/2, -0.5, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.311 (b) 0.01 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a**2. Let m(o) be the second derivative of o**5\/60 - 5*o**3\/6 - 6*o. Let r(s) be the second derivative of m(s). Determine x(r(b)).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 - -6173\/17. Let v = -5.9 - -6. Which is the second biggest value? (a) 1\/9 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 29 + 25 = 0. Suppose 0 = j - 4*p + a, -j - 3*p = -4*j - 9. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-21)*1\/2. Suppose -7*q - 42 = 42. Which is the second biggest value? (a) k (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -v. Let a(o) = o**2 - 8. Let y be a(0). Let b be (20\/y)\/(v\/4). Solve -2*n + 8 + b = 2*h, h - 3*n + 11 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*v = 18 - 170, 3*s + 5*v - 122 = 0. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/3, 2\/17, -1\/58, 7, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 437 and 76?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let n(i) = 2*i**2 + 5*i - 4. Let j(c) = -6*c**2 - 5*c + 7 - 3*c**2 + 6*c**2 - 4*c. What is u*j(w) - 5*n(w)?\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*c, 0 = -4*m + 5*c + 29488 + 16194. List the prime factors of m.\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 5. Suppose s = -1 + 8. Suppose s*v = 2*v + 40. What is the remainder when y is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s**3 - 5*s + 10*s - 5*s.\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/4165 - -4153\/12495. Factor -1\/6*c**2 + t + 1\/6*c.\nAnswer: -(c - 2)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 194*s + 9647. Determine n(-49).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 134 = -46. Let o(u) = -u**2 - 15*u + 156. Let g be o(-21). Calculate the greatest common factor of q and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1065330 and 1005522?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.916 - 5.316. Which is the fourth smallest value? (a) 0.2 (b) p (c) -0.001 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32138875 - -6556317791\/204. Let q = n - -882\/17. What is the common denominator of q and 2\/(-6) + 7\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/3, -27, -2\/39, 4, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (51 + -16 + -13 - 16)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.161 + -7.939. Let f = g + 8.5. Which is the second biggest value? (a) 1 (b) 0.01 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/(r*r**2))\/(r**1)**(-1\/27)*(r**(-1))**(2\/61)\/(r*r**(2\/5))**(2\/11) assuming r is positive.\nAnswer: r**(249082\/90585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -309 (b) -62\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 16*z - 6. Let b(k) = k - 1. Determine 8*b(t) - y(t).\nAnswer: -8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10978 and 2398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:46 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-90)\/192)\/((1638\/(-56))\/39)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17759626 to the nearest integer?\nAnswer: 4214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 78 - 2*j**4 + 79 + 3*j**3 + 2358*j - 2364*j to the form d*j**4 + v + q*j**3 + w*j**2 + t*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1955 and 119\/100?\nAnswer: 39100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -3, -602?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-6))\/(-5)*936\/(-3510)*351\/(-130)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26239 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:13 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19 (b) 2.7 (c) -51\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238161385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -121082 (base 9) to base 13\nAnswer: -272a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -16. Let p = v - -108. What is the greatest common factor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/15 - o**4\/8 + 3*o**3 + o**2 - 11*o. Let r = 9 + -15. Does 12 divide v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from fvfvffffgvffvqf?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 4, -177, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0)**2*2 - -4*(sqrt(171))**2) + 3.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6*i = 9*i. Solve -h = -4*t - 12, 6*t - 2*t + 4*h - 8 = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 1220*w + 8638.\nAnswer: -2*(w - 7)*(w + 617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 16*h + 4. Let y(q) = -2*q - 1. Let s(j) = o(j) + 4*y(j). Let t(m) = -2*m - 3. Let d(p) = 4*p + 7. Let n(b) = -6*d(b) - 14*t(b). Calculate s(n(g)).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.137 times -77.4378\nAnswer: 10.6089786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 35*l + 7. Let a be w(5). Let j(u) = -2*u + 6. Let o be ((-56)\/2)\/4 - -2. Let g be j(o). What is the highest common divisor of a and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/r**21)\/r*r)*r*r**(-1\/11)*r assuming r is positive.\nAnswer: r**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/461 and -2\/9?\nAnswer: 4149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 76*k + 56. Let c(g) = 228*g + 167. Let i(j) = -6*c(j) + 17*n(j). List the prime factors of i(-6).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**(5\/2)*d))*d**(-2\/3))\/(d**(-2\/7)*d)**45)**(-20\/9) assuming d is positive.\nAnswer: d**(11890\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12458 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4, -1\/4, -6624?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(44) - (sqrt(352)\/(sqrt(64)\/sqrt(8) + sqrt(8)) + sqrt(44)))\/(sqrt(4) + (sqrt(308)\/sqrt(11))\/sqrt(7)))**2 + 2).\nAnswer: -215\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -37169*n**2 + 187*n - 187. Let d(o) = 1199*o**2 - 6*o + 6. Determine 187*d(h) + 6*s(h).\nAnswer: 1199*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 712*m**3 - 406*m**3 - 4*m**2 + 3*m**2 - 371*m**3 - 7*m**4 + m + 0*m to the form g + z*m**2 + x*m + l*m**4 + y*m**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76284 - 22198672\/291. What is the common denominator of v and -65\/8?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -13*j**4\/12 + 1127*j**2. Let h(z) = -4*z + 5. Let c(d) = 1. Let y(o) = -5*c(o) + h(o). Calculate a(y(p)).\nAnswer: 104*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4015 and 8.\nAnswer: 32120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**4 + 9*j**3 - 6*j**2 - 7*j - 6. Let z(k) = 4*k**4 + 17*k**3 - 11*k**2 - 13*k - 11. Let p(g) = -11*m(g) + 6*z(g). Let p(r) = 0. Calculate r.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-8)\/5)\/(2\/(-11) + 254448\/1400190)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 15*y - 27. Let g be j(5). Suppose 6*h - 3*h = 3. Put -7, h, g in descending order.\nAnswer: h, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 21382, -4.\nAnswer: -4, -2, -1, 21382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d - 61. Calculate the remainder when o(-18) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) + (-712)\/(-20). Suppose 9 - 1 = t. Let a = 32 - t. Calculate the highest common factor of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:03 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16793762.\nAnswer: 2, 8396881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:35 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - m = 6, -4*m - 2 = 5*s + 5. Let b = s - 1. Let t(j) = j**2 + b*j + 2*j - 2*j. Let x(l) = -2*l. Calculate x(t(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45*(-2 - 5)\/(-63) + -3. Factor 8\/7 - 4\/7*d**t - 4\/7*d.\nAnswer: -4*(d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 10:45 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 7172*q**2 - 231090*q + 1671516.\nAnswer: 2*(q - 21)*(q - 11)*(q + 3618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24767033?\nAnswer: 24767033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 6, -5, -1, -68, 9.\nAnswer: -68, -5, -4, -3, -1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 392043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 - 1 = 0. Let c = f + 5. Suppose -8 - 10 = -c*r. Solve 7*x = 2*l + r*x, 5*x - 10 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -509562 from 4.\nAnswer: 509566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*t**4 + 2*k*t - k + 974015*t**5 - t**2 - 11*t - 246384 wrt t?\nAnswer: -48*k*t**2 + 19480300*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2433 and 3921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 26. Let g be z(-14). Suppose -g - 126 = 12*y. Are y and -35\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.1 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 503 - 480. What is the remainder when d is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1282, 7749, 24572, 56929, 109998, 188957, 298984?\nAnswer: 445257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34578718411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 9*g**2 + 5*g + 30. Calculate the remainder when j(7) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c + 150. Let o be ((-8)\/c)\/(4\/(-10)). Factor -o*l + 2\/3*l**3 - 2\/3*l**2 + 2\/3.\nAnswer: 2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3 + (2 - 5 + 0)*(1 - 2 + 3) + 2 + 2 - 5 - 20 - 10 - 6 - 2)*(0*v**2 + 6*v**2 + 12*v**2) in the form x*v + h + t*v**2 and give t.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-5)*((-210)\/(-12))\/(-7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(2 - (-4460)\/(-2224))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100475 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -541, -1, -1\/3, -0.71, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 15 + 12 = 0. What is the tens digit of (-1)\/((6\/(-927))\/(2\/i))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.914 - 0.775. Let x = 0.439 - u. What is the closest to 0 in 0.1, -2\/3, -3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {a: 1, s: 2, u: 1, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 + 2 - 4 + 18*x**2 - 6*x - 4 - 10*x**3 = 0. Calculate x.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -35*k + 13. Let z be j(-20). Suppose -725 = -3*p + 5*y, -3*p - y = -3*y - z. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from {e: 18, f: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5518 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 5*n**2 + 5*n - 4. Give c(4).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/((-5)\/35). Let v(a) = a**3 - 6*a**2 - 8*a + 1. What is v(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*((2 + sqrt(180))*4 + 5)*-2)**2.\nAnswer: 187200*sqrt(5) + 914700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2090*1\/4*-2. Suppose 5*c = 285 + q. Calculate the remainder when c is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0077 - -14354444315.\nAnswer: 14354444315.0077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412161*n**2 - 352955.\nAnswer: -824322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5\/3)*x))\/x*x**(-11)*x*x**(-3\/11)\/x**1 assuming x is positive.\nAnswer: x**(-350\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.7 - -18.6. Let x = -6.4 + d. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s + 4. Let o(p) = 1332*p - 1. Let g be o(s). Let c be 2\/(-2) + 3*g. What is c rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 719, 70, -1, -187 in decreasing order.\nAnswer: 719, 70, -1, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.9, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477 + 2*w + 12864*w**3 + 1477 - 12865*w**3.\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16136 + -16005. Solve -x*r + 118*r + 91 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-20 + 11 + 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 238 = -n, 5*n = -2*t + 3*t + 1142. Let k = n + -140. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/16*10092\/7911. Let p = w - -3\/586. Calculate the common denominator of p and -27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (5\/3 - 2). Let k(q) = -q + 4. Let v be k(1). Suppose -v*j + 6 = 3*j. What is the closest to 2\/11 in -4, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + u**3 + (156277*u**2 - 156277*u**2 - 160*u**3)*(-19 + 39 - 18).\nAnswer: -319*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/6)\/((-4)\/(-2538)). Let j = 12411 - 12509. Let h = j - q. What is the common denominator of -101\/40 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 27. Suppose b = 4*s + 1, -3*s + 7 + q = 5*b. What is the third derivative of 5*l**2 - 6*l**6 + 0*l**6 + 0*l**6 - b*l**2 wrt l?\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345.9999579 - 346. What is d rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.483448 litres in millilitres?\nAnswer: 6483.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 282 and 266969375.\nAnswer: 266969657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -1002 - 608. Calculate the remainder when w is divided by 118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 10*n**2 + 13*n - 22. Calculate s(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 17*t**2 + 363*t + 6294. Determine b(-17).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/5)\/144*-10\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(119)\/(sqrt(21)\/sqrt(3)) - sqrt(17) - (1 + (sqrt(17) - (-1*sqrt(17))**2) - sqrt(17))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 60*p**2 - 127*p + 34. Let s be f(-32). Suppose 2\/5*u**s + 2\/5*u - 4\/5 = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4443*i**2 + 8512 - 8512.\nAnswer: -4443*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.7297 years to centuries.\nAnswer: 2.477297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.04203um in nanometers?\nAnswer: 58042.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350817*q - 9261 = -349494*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183614588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**7\/357 - a**6\/255 - a**5\/85 + a**4\/51 + a**3\/51 - a**2\/17 + 8*a. Find k such that g(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327657261.\nAnswer: 7, 53, 3578591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(343) + (1*(sqrt(343) - (sqrt(343) - (sqrt(343) - sqrt(343)*3))) + sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(7)*-4*3*3)**2 + 4.\nAnswer: 54436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -73*4\/32 + (-1)\/(-8). Find the common denominator of (18\/(-8))\/((-15)\/(-78)) and (w - -8)*43\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1558)\/(-714) + (-3666)\/(-4277) - (2 + 4 + -3)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*i + 14, z = 3*z + 2*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -15*y + 71. Let h(v) = 3*v**2 - 2*v - 2. Let p(t) = t**2 - t - 1. Give y*p(r) + 3*h(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/25 - -86\/225. Let u = -1270\/3 - -424. Find b such that m - 8\/9*b + u*b**2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4682 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2. Let q(y) be the third derivative of 0*y + 1\/15*y**5 + 0*y**4 + 0 + 0*y**3 - 3*y**2. Determine -6*n(d) + 5*q(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 3, h: 4, d: 1, q: 2, j: 1}. What is prob of sequence qqh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*q - 32 = -12, 4*h - 3*q - 24 = 0. Let u be 11\/9 - (-17)\/(1683\/(-22)). Solve 4*c - 5*m = -9, 2*m + u - 6 = h*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 6*h**2 + 7*h + 1. Suppose 32 = 5*v - 4*a - 23, 0 = -5*v - 5*a + 10. Give f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 16*f - 10. Let d be s(17). Let x = d + -3. Solve -12 = -4*m + 2*v + 2*v, x*m + 3*v + 16 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-940)\/(-658) - (-2 + 4). Which is the second smallest value? (a) 8 (b) -12\/7 (c) r (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914 = 102*p - 192 + 3880 + 2946 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153\/287 + 16\/41. Let n = 7 - 5. Sort n, f, 0.4.\nAnswer: f, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4244 (base 5) to base 11\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275 times -101971?\nAnswer: -231984025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -735\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 881888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3\/4*y**2 + 0 - 7\/4*y**3 + 3\/4*y**5 + 7\/4*y**4 + 0*y = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g - 42. Suppose -5*s + 3*j = -14, 5 = 3*s + 2*j - 11. Let x be b(s). Solve -x*a = c + 2, -4*c - 31 = -4*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 10 - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 11. Suppose -2*z = -0*z - r. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c. Let a(j) = -2*j - 9*j - 4*j + 15*j - 48*j**2. Determine s(a(z)).\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5352722 rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4460 (base 9) in base 2?\nAnswer: 110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 684*f - 100624. What is h(214)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - r**3 + 3*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h. Let z(j) = -j. Let w(d) = 5*r(d) + 20*z(d). Suppose 5*k = 3*c + 6 + 24, -5*k = 5*c - 70. Let s(g) = 15*g - 4*g - k*g. What is s(w(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 21 = 28*v + 19*v - 61*v + l, 4*l = -3*v - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3 + 0*p**4 + 0*p**5 - 173\/6*p**6 - 9*p + 0*p**2 + 13. What is the third derivative of v(c) wrt c?\nAnswer: -10380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50192, -50198, -50226, -50276, -50348?\nAnswer: -50442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**4 + u**2 + 1. Let a(s) = -4*s**4 - 3*s**2 + 1. Let v(t) = 2*a(t) + 6*o(t). Differentiate v(z) with respect to z.\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -15, 5, 41, 916?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11514*p**5 + 527*p**2 + 1 - 16*p**2 - 12197*p**5 wrt p?\nAnswer: -40980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*i = -10, -4*l + i - 32 = -i. Let q(d) = 20*d + 445. Let p be q(-22). Sort 0, p, -1, l in increasing order.\nAnswer: l, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 - 4*q - 3)*(-616 + 5733 + 245).\nAnswer: -21448*q + 5362","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-935)\/(-25) - (-6)\/10. Let w be v\/8 + 6\/(-8). Suppose 2*o - 4*j + 186 = w*o, -2*j = -6. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 9 - 3. Let d be (4 - 3) + q\/(-1). Let m = d - 4. Solve -2*i - 2 = 2*c - 4*c, c + 3*i - 5 = m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 1650. Let b = h + -518. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202 (base 3) to base 10.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -45*k + 4. Let s be 4\/24 + (-806)\/156. Let y(x) = 23*x - 2. What is s*y(h) - 3*v(h)?\nAnswer: 20*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-64)\/(-128))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 695799289.18398507 + -695799292. Let l = 2.732709 + q. Let f = -0.0833 - l. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5356351, 10712775, 16069199, 21425623, 26782047, 32138471?\nAnswer: 37494895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-378)*7)\/((-4)\/(-18)). Let f(r) = -2 - 2*r - 7*r**2 + 3 - r**3 - 4*r. Let t be f(-6). Does t = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8407246 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 269?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 32. Let k be -1*0\/2 + a. Let f = k + 18. Solve 0 = t + 2*c + f, -5*t + 2*t = -c - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216744?\nAnswer: 2, 3, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7))**(1\/4)*m**1*m*((m\/(m\/m**(-1\/7)))\/m)\/m)**14 assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 6, v: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462684865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1744, 3342, 4940?\n\"Answer: 1598*c + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-60)*(-21870)\/6561*(-6)\/28.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -47. Is 23 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 17. What is the remainder when 25 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/180 - 7*l**5\/120 - l**4\/12 + l**3\/6 + 2*l**2. Let b(f) be the first derivative of x(f). Is b(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3 - 1 + 2 + c**5 + 16*c**2 - 3*c - 14*c**2 - 3*c**4 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/4*1 - -2. Let c = y + -3\/20. Is c bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5957000 is divided by 580?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11543 + 1104?\nAnswer: -10436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*w - 456*w + 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 1. Suppose 3*g + 4*l - 5 = -0*g, -3 = -3*g - 3*l. Let x be (-7)\/(-7) - (q - g). What is the greatest common divisor of 32 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)*t)**22)**(-18) assuming t is positive.\nAnswer: t**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 25 = -2*d. Let h = d + -10. Let n(x) = 5*x - 13. Is n(h) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 3*c**3 + 2*c**3)*(-3*c**2 + c**2 + 3*c**2) - c**5 - 2*c**5 - 8*c**5.\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -965800 rounded to the nearest 10000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 81*h - 835. Let l be n(10). Solve -15*t - 175 + l = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/30 and -3*1 - -2*(-395)\/300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from ooorgsrggwgor?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081775538 to five dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 585*v**2 - 1710*v.\nAnswer: -5*v*(v + 3)*(v + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - k - 5*k + (-2 + 2 + 2)*(k - 2*k + 3*k) + 5*k + 3*k - k - 1 + 1 - k)*(-21*k**3 + 9*k**3 - 10*k**3).\nAnswer: -198*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153*392\/249900 + 293\/(-75).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31232021203 (base 4) to base 3\nAnswer: 20202202000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143146 is divided by 132.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 2. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11095719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 6*a**5 - 3*a**5 + (2*a**5 - 3*a**5 + 6*a**5)*(-18 + 17 + 10).\nAnswer: 47*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4964 + 17795. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 8*c - 9 + 2*c**3 + 5*c - 7*c - c**3. Let q(k) = k**3 - 5*k**2 + 4. Calculate the smallest common multiple of q(5) and r(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1) + 55\/(-15))*(-272217)\/2486.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 9, d: 4, x: 1}. What is prob of picking 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2470)\/(-32) - (3861\/(-144))\/(-143)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.528 and -0.0202.\nAnswer: 0.0106656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19775.06 + -19618. Let g = -157 + m. Which is the nearest to -3? (a) 3 (b) g (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:42 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + (-1*(sqrt(2) + -2))**2 + sqrt(2).\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323352 (base 6) in base 11?\nAnswer: 50135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = -b + 4*h, -2*b - h + 28 = 0. Let t = 237 - 230. Calculate the remainder when b is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117546733 smaller than -117546733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 plus -0.02?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3013*w + 197864 - 33150 + 214151 + 6799 = 0 for w.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34450?\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 11*u**2 - 13*u - 11. Let b be y(-12). Let m(s) = 9*s**2 + s. Give m(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1705, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8330624 by 2368.\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 27. Let y = g + 10.4. Sort -1\/3, 0.2, y, 1\/4.\nAnswer: -1\/3, 0.2, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - l**2\/2 + 28*l + 2. Let s be u(0). Suppose -n = n - 2*m - s, -79 = -5*n - 4*m. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/3 and 47\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = 44*h + 19. Calculate the remainder when 68 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 401178*o + 401198. Determine y(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:50 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 4. Differentiate -6 - 5*t**3 + 4 + p*t**3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/10 - 2*1. Let d be 2\/6 + 40\/q. Let i = -8 - d. Solve 11 = i*m - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = 29*x - 1539. Calculate the remainder when x is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-13)\/(-195))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -540 + 535. What is the remainder when 284\/r*3*(-10)\/6 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 2862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12.4*8\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7659)\/(-162))\/(-23) - (-3)\/2. Which is the closest to 2\/5? (a) 2\/3 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -8*x - 5*k + 15, 0 = -3*x + 5*k + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -40, -45, -38, -13, 36, 115, 230?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -77*y**6 - 7*y**3 + 101*y**2. Let c(i) = -26*i**6 - 2*i**3 + 34*i**2. Let g(m) = -7*c(m) + 2*j(m). What is the third derivative of g(k) wrt k?\nAnswer: 3360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/5 - 238*v**3\/5 + 1372*v**2\/5 - 1808*v\/5 = 0.\nAnswer: 0, 2, 4, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v - 33. Let f(l) = -48*l - 99. Let c(i) = 17*b(i) - 6*f(i). Let j be c(9). Calculate the highest common divisor of j and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409996 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2. Let w be v(-2). Suppose -4*m - 4*h + 36 + w = 0, -5*h - 28 = -m. Calculate the remainder when 35 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or -0.4?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*i + 740*i = 475*i + 34000 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.32055 to one dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 80600 divided by 3100\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 43 = -2*u. Let y = -16 - u. Suppose a - z - 15 = z, a - 4*z - y = 0. Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 368*q**3 + 463*q**3 + 6*q**4 - 737*q**3 + (-q + 0*q + 3*q)*(5*q - q**3 - 5*q).\nAnswer: 4*q**4 + 94*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -843, -650, -289, 282, 1105?\n\"Answer: 7*i**3 + 42*i**2 + 18*i - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -155. Calculate the highest common factor of d and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by -17153.\nAnswer: 143\/17153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - 9*c - 7*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = 0, 221*n - 224*n + 4*p - 77 = 2*p for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (245235\/(-6))\/((-18)\/36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57784481\/207 - 279158. Let p = -4519\/117 + 583\/13. Let h = l + p. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022222 - 2?\nAnswer: 1022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h, -9364 + 931 = -2*a - 3*h. What is the remainder when a is divided by 264?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 2:30 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + ((-4*(sqrt(130) - -1*sqrt(130)*6))\/((sqrt(20)\/sqrt(2) + sqrt(10))*-2*1))**2).\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 270\/1391 or -1?\nAnswer: 270\/1391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + z + 1. Let c(k) = -4*k**3 + 6*k**2 + 6*k + 6. Calculate -4*c(x) + 24*i(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.691891 - -29?\nAnswer: -59.691891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1798450*k**4 - 132123*k.\nAnswer: 21581400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5213*h**2. Let g(s) = -6*s. Give g(x(q)).\nAnswer: -31278*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 - 3*i - 3. Let g be t(-3). Let j be (1*g*1)\/1. Suppose -2*p - 24 = -j*p. Solve h + p = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*x + 38 - 35 - 11*x + 11*x in the form z + c*x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = -j, j + 764 = x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -57, -62, -69, -78, -89, -102?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7410 divided by -26\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 17*b - 5*b**4 - b**2 + 4*b + 9*b as k*b**4 + a*b**3 + q + r*b + v*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t - 3*t**3 + 0*t**3 + 2*t**3 + 3*t**3 to the form r*t + a*t**3 + u + z*t**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 3 + sqrt(2) + -5)*-4)**2.\nAnswer: -128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5252000 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -1)*2\/270)\/((-6)\/(-30)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32148 and 12032.\nAnswer: 2057472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 5*l**2 + l - 3. Suppose 0 = -0*m - 5*m + 125. Suppose m = d + 4*d. What is x(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218110 is divided by 4451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2773657059 to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82998?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 3, -5 in descending order.\nAnswer: 3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let p(k) = -k + 12. Let v be p(9). Let y(c) = c - v + 3 + 6*c. Calculate y(s(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 308500.6 kilograms in milligrams?\nAnswer: 308500600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 613501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 19*j - 2*j + 0*j**2 - 9*j.\nAnswer: 2*j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*h = -9, h = w - h - 5. Solve 3*x - w - 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*u + 6*u - 5*h, 5*h = -2*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 29*z**2 + 76*z - 361. Calculate q(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z + 84. Let o(j) = -3*j - 30. Let u(t) = 5*m(t) + 14*o(t). Let i(k) = -43*k. What is u(i(p))?\nAnswer: 86*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, h: 1, m: 4}. Give prob of picking 4 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 44*l + 57. Let f be s(43). Let g(k) = k - 24. Give g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -242.3 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 0.284701?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n. Suppose u + 5*u + 12 = 0. Let j be 4 + -1 + u\/(-2). Suppose -4*o - 16 = -j. Let c(w) = w**2 + 4*w. Calculate o*h(l) + 4*c(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -154855 (b) 7 (c) -0.3 (d) -0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - b - 9 = 0, 0 = a + 4*b - 27. Suppose a*c - 9*c + 42 = 0. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/4)\/((-9)\/12). Let t(g) = -g + 7. What is t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1101?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 209221, 3 in increasing order.\nAnswer: 2, 3, 209221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000406346471 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -417300, -417172, -417046, -416922, -416800, -416680, -416562?\n\"Answer: -y**2 + 131*y - 417430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1520*y**2 + y + 3935?\nAnswer: -3040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62333722 and 34000212?\nAnswer: 374002332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*o + 178, -2*o - 2*o = 2*a - 178. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 - 9*p - 9. Let a be o(-7). Suppose 4*n - a = 11. Solve 4 = n*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, -27, 5 in descending order.\nAnswer: 170, 5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/135 and -83\/2970.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1200)\/360)\/(38\/(-399)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*64\/(-372)*24 - 29.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -384 - 0?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -22418686 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 5*y**2 + 5*y - 5. Let i(g) = 5*g - 5*g + 39 - 21 + g**3 - 19 + g**2. Give -5*i(m) + x(m).\nAnswer: -2*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*h - 27 = 2*l, 0 = 2*l + 2*h - 8. Suppose -l*z = -7 + 2. Solve z = n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**3 - 8*w + 8. Let h(v) = 0*v**3 + 250 + 0*v + v - 251 + v**3. Calculate -24*h(x) - 3*q(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a0d (base 14) to base 9.\nAnswer: -32044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70816024 to the nearest integer?\nAnswer: 8415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042707 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z**2 + 1863*z + 3906. Determine w(172).\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + 12*o. Give f(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 18, 50, 104, 186?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 7 + 15*g + 2*g + 5*g**2 + 0 - 19*g - 4 to the form h*g**3 + v + l*g + a*g**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -209. Which is bigger: 22 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:23 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:26 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, q: 8, k: 1, x: 1}. Give prob of sequence kc.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcj when three letters picked without replacement from pccqcjy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 23. Suppose 15 - 35 = -i*x. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 2*c + c + (-2*c + 3*c + 0*c)*(-2 + 4 - 3) + 3*c + c - 6*c + 0 + 0 + 4*c to the form y*c + x and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.61092 + -1.61. What is r rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36155 (base 7) to base 3.\nAnswer: -110211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*n - 64666 + 33706 = 588*n + 53415 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22394786 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2814018?\nAnswer: 2814006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-33)\/(-18) - 2). Suppose -5*u - 1 = x - m, 3*x + 15 = 0. Which is smaller: u or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -841499 less than -841491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1638 (b) 148 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 85*d**2 - 425. Let q(y) = 1. Calculate -n(x) - 425*q(x).\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and 1119619.\nAnswer: -51502474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -83. What is the first derivative of -s*v**2 - 139 + 65 + 66 wrt v?\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 12. Let o be n(-5). Is o equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 18819?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/4 - 5*h**4\/3 + 5*h**3\/6 + 15*h**2 + 7*h. Factor j(m).\nAnswer: 5*(m - 3)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-68)\/6 - 1)\/((-4)\/168) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 - 152. Let w be (-6)\/(-4)*-1 - 0. What is the fourth biggest value in p, w, 0.5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 74 = -2*f + 5*k, 0 = 2*f + k - 58. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p + 2. Let c be s(1). Suppose -2*k + 5*k = 0. Suppose 2*a - 5*f - 25 = k, -f = -4*a + 4*f + 45. Solve -b - 5*r + c = -a, 4*b = 4*r - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 1. Let n(j) = 4*j - 2. Suppose 0 = 4*m + m + 25. Determine m*r(t) + 3*n(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-632)\/(-20) + (-6)\/(-15). Solve f - 35 + u = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 201*i**2 + 781*i + 1383. Give d(197).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/11))\/k*k*k*k\/(k**24*k))\/(k*(k*k**(-2\/7))\/k*k\/k**7) assuming k is positive.\nAnswer: k**(-1259\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/86 (b) -214\/9 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32205.4 + -32204. What is the third biggest value in r, 47, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 8) in base 14?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11268 - 11264. Sort -3872, -5, l in descending order.\nAnswer: l, -5, -3872","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 - 7*h**5\/60 + 3*h**4\/8 + 11*h**3\/6 + h**2 - 25. Determine j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9\/7)\/h**(-1\/7)*h**1*(h*h**10*h)\/h)**37 assuming h is positive.\nAnswer: h**(2812\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-12) + (-33)\/44)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 20 = 2*u - 4, u - 5*g + 36 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-322)*14*-23\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000 - 425135?\nAnswer: -430135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 6. Let t be a(-8). Let p be 15\/((-2)\/4*t). Let q = -4 - p. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*m = 4*m - 4, 4*m = 16. Suppose 2*v + k = 3*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Suppose -45*r + 20 = -41*r + 5*l, 4*l = -4*r + 20. Put y, r, -1 in descending order.\nAnswer: r, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130089787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*i - 40 = 845*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/19)*d*d*d**(-4\/29) assuming d is positive.\nAnswer: d**(968\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 + 2*v - v - 2*v - 16 - 2*v**3 + 18 as a*v**3 + k*v**2 + u + y*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13169 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m\/(m**(-12)\/m))\/m*m*m*m*(m**(-1\/3)*m)\/m*(m**(-11)\/m)\/(m**20\/m) assuming m is positive.\nAnswer: m**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199568.\nAnswer: 2, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -7)*(-789)\/6. Suppose 275*m = c*m + 72. Solve -3*v - 17 = -2*d, -v - 4 = -5*d + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7370636551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18311*386.7\nAnswer: -7080863.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.06 + 0.06. Let w = c + 173. Let v = -156.000077 + w. Round v to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -5\/4*w**4 + 9*w + 0*w**2 + 0*w**3 - 5. What is the derivative of g(l) wrt l?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4625\/1596 + 7\/228. Find the common denominator of -133\/18 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l - 150*l + 23*l + 32*l + 23*l + 32*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 169419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 5315.97?\nAnswer: -5312.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3032132103 + -3?\nAnswer: -3032132112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516793.\nAnswer: 516793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*j - 9*j. What is the third derivative of 11*d**6 - 11*d**j - 9*d**6 - 3*d**2 wrt d?\nAnswer: -1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 + 64\/(-256) + (-2)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-162))\/(2\/48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*g - 8 - 2 = 0, 0 = u - g + 3. Suppose 3*v - 6 = -4*j + 17, -20 = 5*j. Calculate the remainder when u\/25 - (-256)\/5 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 27*g - 19. Let i be j(28). Let p(a) = 2*a - 19. Calculate p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5818 - 5863. Which is the nearest to -2? (a) 4 (b) s (c) -5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -403*u + 15649. Determine x(39).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04786519759 rounded to 3 decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -o + 7, -44*w - 3*o + 1 = -40*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -41, -186 in decreasing order.\nAnswer: 4, 2, -41, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37318.51 * 0.2\nAnswer: -7463.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 9*a - 6. Let g be w(-6). Suppose -g = -11*f + 7*f. Suppose -f*q + 30 = 3*q. Solve q*j + 16 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 25*y + 228 = 4*y + 100, 34 = 5*x + y for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12457824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 228*m + 928.\nAnswer: -(m - 4)*(m + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3 - 23*o**2 - 10*o = 0.\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2226811, 8907241, 20041291, 35628961, 55670251, 80165161?\n\"Answer: 2226810*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-8)\/(-456)*37. Is -1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + (-5 + sqrt(19) - sqrt(19))) + sqrt(1900) + 1)**2 + (sqrt(475) - ((sqrt(475) - (1 + sqrt(475)))*5)**2)*-5.\nAnswer: -389*sqrt(19) + 3532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -0.3. Let p = k - -2.9. Suppose -3*u + 0*b + 1 = -4*b, 5*b + 2 = 3*u. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7727184.5482 - -15.\nAnswer: -7727169.5482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/60 + (-3 - 1). Let p = j - -277\/45. What is the common denominator of p and 2\/(-6) - (9 + 2330\/(-204))?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -26 + 3*u + 36 + 4*u - u**2. Let v be y(8). Solve 3*k = -2*j - 0*k - 10, 2 = -v*j + k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, a: 3}. Give prob of picking 1 v and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8926 is divided by 2230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -2*n + 5*n. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204\/6 + 3\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -3025606620?\nAnswer: 3025606631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 2*w + 0*w**2 - 2*w to p*w + m*w**2 + a and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4093 (b) 2\/23 (c) 1\/2 (d) 5 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/126060 and -137\/441210.\nAnswer: 882420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:15 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 18069214.\nAnswer: -7227685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 404 + -403.99604. What is r rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-12 + 3 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14720.478 months to years.\nAnswer: 1226.7065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 - 667*m**2 - 673*m**2 + 1341*m**2)*(2 - 3 + 2) in the form z*m**2 + q*m + h and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-n**3 + 0*n**3 + 3*n**3) + 30 - 151 + 31*n**3 - 38*n**3 in the form f*n + y*n**3 + b + x*n**2 and give b.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 7 - 8. Solve 0 = 4*g - q + v, -3*q = 4*g - 7*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 - 5*d + 11. Let p be v(-7). Let o be 2\/(-2) + p + 23. Let w = o - 15. Calculate the smallest common multiple of w and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 3*b - 2. Let n(f) = -7*f**2 + 3*f + 2. Let l(u) = -6*k(u) - 5*n(u). Let p = 3 - 2. Let o be 0 + 0 - -2*p. Give l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2 + 2 - k - 3 + 6. Suppose -3*z = -6*z + 15. Give v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 93 = 43*i. Let d(r) = r + 2. Calculate d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9929670 divided by 6\nAnswer: -1654945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1)*1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/8778 and -69\/29260.\nAnswer: 87780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420792477 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/10 + 317*u**3\/10 + 963*u**2\/5 + 1934*u\/5 + 1292\/5 = 0.\nAnswer: -2, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 444.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -1197, -1795, -2393, -2991, -3589?\nAnswer: -4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-280))\/(255\/6120)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w - 55 + 32*w + 26*w - 30. Is q(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9))**(-9\/4)*d**(-1\/3)*d\/(d*d**(-1\/7)))\/((d**(-2\/11)\/(d*d*d*((d**6\/d)\/d*d)\/d*d))\/((d**(-5)\/d)\/d**(-2))) assuming d is positive.\nAnswer: d**(2075\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 4*w - 7*w, -2*w + 4 = 2*j. Suppose 4*l - 10 = -r, -j*l + r - 8 = -5*l. Solve -l*u - 3 - 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50365, 100726, 151087?\nAnswer: 201448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:58 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.95 * -268663.\nAnswer: -255229.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9731 (base 10) to base 6\nAnswer: -113015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -145, -142, -141, -142, -145, -150?\n\"Answer: -j**2 + 6*j - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*2)\/sqrt(12) + sqrt(1764)\/sqrt(12) + -3 + 1 + sqrt(12) + -2.\nAnswer: -4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 5. Let s(q) = -q + 6. Let n(o) = -4*m(o) - 3*s(o). Suppose 2*v - 4 = -2*b + 10, b = -5*v + 3. Let z(l) = -l + 8. Let h be z(b). Give n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 124*p**2 - 41*p**2 + 61 + 2*p to the form t*p + q + a*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -30. Let u = 2 + 5. What is the remainder when a is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -211 + 184 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**3 - 159*z**3 + 3 - 3.\nAnswer: -185*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/561 and -76\/44594451?\nAnswer: 44594451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 4760.593847.\nAnswer: 4742.593847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*l = 3*c - 67, 173 = 112*c - 109*c + 32*l for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:38 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 3 - f + 2)*(-21541*f**2 + 12063*f**2 + 10685*f**2) to the form m + p*f**3 + d*f + y*f**2 and give y.\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1284, -6077, -14066, -25251?\nAnswer: -39632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3585.329954 rounded to the nearest integer?\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13500, -44, -1 in ascending order.\nAnswer: -44, -1, 13500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19491450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/7 - 7552*h\/7.\nAnswer: -h*(h + 7552)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i**2)*(-2*i + 2*i + 2*i**3) - 4*i**3 + 2*i**5 + 4*i**3 + i**5 + i**5 - i**5 + (2*i**3 - 10*i**3 - 7*i**3)*(-22*i**2 + 146 - 146).\nAnswer: 329*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from tmmtttmmtmxaaat?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d086 - 5?\nAnswer: -d08b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2553101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*b**3 - 225*b**3 - 9 + 9.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 86 = 42. What is the lowest common multiple of 8 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6466308 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -6*n + 1\/2*n**2 + 190. Let k be -1 + (-1 - 1) - 2. Give g(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131873022, -263746042, -395619060, -527492076, -659365090, -791238102, -923111112?\n\"Answer: l**2 - 131873023*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.5. Let q = -5 - -1. Suppose 47*m = -14*m + 61. Which is the nearest to 0? (a) i (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63383?\nAnswer: 241, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358*x + 361*x = 6, 0 = -2*a + 2*x + 2504. What is the smallest common multiple of a and 114?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294423721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 2 - 2 + (y - 1 + 1)*(-y - 2*y**2 + y) - 3*y**3 + 2*y - 2*y + (y - y - y**2)*(241*y - 129*y - 129*y))*(3*y + 3*y - 5*y).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5066c (base 13) in base 3?\nAnswer: 21022101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -123*b + 124*b - 8, 2*z = -b - 13 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:08 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 + 26 = 4*r, -3*r - 4*s = 5. Solve 2*q + 13 = -r*m, -3*q - 3*m + 4 = 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18970577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22724 + 22702. Put 0.1, g, -0.1, 2, -0.3 in decreasing order.\nAnswer: 2, 0.1, -0.1, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {s: 1, m: 7, c: 10}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - 5 + 5)*(-100*s + 148*s - 85*s).\nAnswer: 74*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5676 - -10183. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361839?\nAnswer: 1361839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140645768, -281291533, -421937298, -562583063, -703228828, -843874593?\nAnswer: -984520358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 178*q**2 + 18*q + 3203. What is f(-178)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22086000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43637980?\nAnswer: 2, 5, 17, 128347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 + -250. What are the prime factors of 208\/6*((-378)\/24)\/m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:07 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8+632405\nAnswer: 632397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41410 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 294.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115081415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -17*d + 1. Let r(m) = m**3 + m**2 + m + 34. What is the remainder when r(0) is divided by w(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*f + 0)*(6*f + 7*f - 5*f) - 2*f**2 + 4*f**2 - 6*f**2 + 2*f**2 - 3*f**2 - 2*f**2.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119566008?\nAnswer: 2, 3, 31, 53569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, q: 5}. What is prob of picking 3 l?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2610.55 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*h - 26*h - 120. Let w(r) = -r**2 + 7*r - 2. Let z be w(7). Let c = 29 - z. What is the remainder when c is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*f + 94*f - 41*f - 2 as z*f + b and give z.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - 3*(sqrt(68)*2 - sqrt(68) - sqrt(68))) - (sqrt(68) + -1*2*sqrt(68)))*4)\/(-3*(sqrt(576) + 3*sqrt(576)*-1 + sqrt(576))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 184, 263, 326, 367, 380, 359?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*w + 23, 5*a + 3890*w = 1945*w + 1950*w + 50 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 + 411. Let y(c) = 2*c**3 - 9*c - 4. Let q(k) = -3*k**3 + 17*k + 7. Determine a*q(m) + 7*y(m).\nAnswer: 2*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/2045, -1\/5, 0.07, -5 in decreasing order.\nAnswer: 0.07, 23\/2045, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8424 and 10.\nAnswer: 42120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -22*x - 7*x**3 - 15*x**2 + 6*x**3 + 29 - 14*x. List the prime factors of m(-16).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 2*n**4 - 2*n**5 + (4*n**4 - 5*n**4 + 3*n**4)*(4*n - 2*n + 0*n) + 4*n**5 + 5 - 5.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let j(n) = -n**2 - 5*n + 3. Let h be j(-5). Suppose -4*c + h*a + 11 = -28, -5*c - 5*a = -5. Suppose 6*v = 3*v + c. Calculate i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 412751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -d + 355. Suppose 166 = 2*a - d. Let s = a - 134. What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times 2418?\nAnswer: -91884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-6)*((-6)\/(-1))\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 17*r - 36 = 0. Let u(q) = 14*q - 164. Let g be u(r). Solve 4*k + 6 = 2*k, g*m + 19 = -5*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 25. Calculate the highest common divisor of 65 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -88?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 4*o**2 + 5 + 11*o**2 + 10 - 17*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4dcc9 (base 16) to base 3\nAnswer: 121012010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 3*t - t**2 - 5*t + (-3*t - 4*t - 2*t)*(3 - 3 - t) - 59*t**2 - 22*t**2 + 33*t**2.\nAnswer: -40*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 53. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**2*t*v + 26*g**2*t + 366*g**2*v + 2*g*t*v + 2*g*t + 7627*g*v + 2*g + t*v - 2*v wrt g.\nAnswer: 24*t*v + 52*t + 732*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) - 19\/(-6). Solve -x*f - 3 = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*n + 10, -2*q + 4*n = 0. Let m be 85*((-8)\/(-5))\/4. Suppose -q*v + m = -38. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0184 and -13.\nAnswer: -0.2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4336 + -4334. Let p = -2 - -6. What is the nearest to 1 in 2\/13, p, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3457469, 3457458, 3457447, 3457436, 3457425, 3457414?\n\"Answer: -11*z + 3457480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l + 2*l**3 + 3*l**3 - 3*l + 3*l**3 in the form m*l**2 + j + p*l**3 + g*l and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.782 + -0.782. Suppose -3*a - 42 = -2*f - 4*a, 5*f - 107 = -3*a. Is f equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/s*s)\/s)**9*(s*s\/(s\/(s**(-1\/3)\/s)))**16 assuming s is positive.\nAnswer: s**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1898523\/36 + -6)\/((-21)\/(-2)). Let p = 5021 - y. What is the common denominator of p and -35\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 607223?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 672\/17 + -6753\/136. Calculate the common denominator of a and -37\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w - 7 + 15*w + 0*w**2 - 33. Let j be s(20). Let u(r) = 7*r**2 - r + 6. Let o be u(j). Solve -o*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -1)*-2 + 26\/26. Suppose -s + 5*o + 9 = 0, 2*s - 4*o = 7 + 11. Suppose s*d - 35 = 532. Calculate the highest common divisor of r and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16268, -37009, -57736, -78443, -99124, -119773, -140384, -160951?\nAnswer: -181468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/7)\/(z\/((z\/z**(-6))\/z)) assuming z is positive.\nAnswer: z**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11129675467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254148 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lubu when four letters picked without replacement from uuwrbluu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37746467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + d - 56 = -10*d, -164*s + 20 = 164*s - 327*s + 4*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.38519 minutes in milliseconds?\nAnswer: 5243111.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2580 = 86*g, 134 = -4*a - 8*g + 6*g + 7*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48922686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20 and -87\/308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-3 - (-44 + (17 - -5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - 6*b - 11. Calculate c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 14*x**3 - 4 + 10.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/11, -1\/8, 3\/3670, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1015 + -94?\nAnswer: -10a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*u + 4*u**2 - 33 + 38*u + 21*u to j*u**2 + t*u + b and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/48*(-24)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/7, -1\/3, -3, -11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163000 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3005601*l**2. Let g(f) = 362*f. Determine g(r(v)).\nAnswer: 1088027562*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-28)\/26) + (-1)\/(-2). Let r(v) = v**3 - 7*v**2 + 6*v + 5. Let p be r(j). Let c = p - 25. Calculate the least common multiple of c and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/25)*(q\/((q\/(q\/(q\/q**(-5\/2)))*q)\/q))\/q*q)**(-4\/33))**(39\/7) assuming q is positive.\nAnswer: q**(3354\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -58*x**3 - 7*x**2\/2 + 2*x - 10. Let m be u(-8). Is 3\/((-63)\/6) + m\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4073 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40541.90512 rounded to the nearest 10?\nAnswer: -40540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/234)\/((-204)\/459)*(-36)\/(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057217920?\nAnswer: 2, 5, 11, 263, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55503300 (base 6) to base 13.\nAnswer: 467403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1)\/2 + 17. Suppose g*q = 11*q + 960. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31366064 (base 8) in base 10?\nAnswer: 6679604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9764 and 44899754?\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/12 + 2*l**3\/3 + 3*l**2\/2 - 3*l. Let t be h(5). Let x(i) = 4*i**2 - i + 0 - 2*i**3 - 1 + 3*i**3. Determine x(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 - 9\/((-1521)\/(-685124)). Let b = 4057 + l. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 277.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4740450, 4740456, 4740472, 4740504, 4740558, 4740640?\nAnswer: 4740756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011120202 (base 3) in base 13?\nAnswer: 37415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + d + 356 - 1756, -5*d + 1392 = 2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - -158. Are i and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -16. Solve -2 = -k*z + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*q + 4*q - 2*q)*(-3 + 0 + 2)*(5*q - 4*q + 0*q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p + 62. Let a = 394 - 398. What is the smallest common multiple of k(a) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2 + 40*h + 76 = 0.\nAnswer: -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16185.\nAnswer: 3, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 3. Suppose -26 = -3*f - y. Put f, -3, -2 in descending order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 7*g**2 - 6*g - 10. Let c be k(7). Let b be (7 + -5)\/(c\/50). Let t = b - -27\/13. Sort 2\/7, t, -3\/5 in decreasing order.\nAnswer: 2\/7, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10280\/(-120))\/257)\/((-31)\/24).\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*k**3 + 52437*k**2 - 2004669*k wrt k?\nAnswer: 426*k + 104874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 81*v - 43. Give w(26).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728020 is divided by 222?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 55*a + 4794 = 50*a + 946 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828 = -3*z - 102. Suppose 0 = 9*i - 917 + z. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/5981780 and 127\/24.\nAnswer: 35890680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3173 times 1.1\nAnswer: -3490.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.32132 - -16.0238. Let x = 7.3 + g. What is x rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*y - 22, r = -4*y + 3*y - 6. Let x = 327 + -320. Is x + r + (-6)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 411276*v**4 + 3701498*v**3\/3 + 1233842*v**2 + 411290*v + 14\/3 = 0.\nAnswer: -1, -7\/616914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136742ng in milligrams?\nAnswer: 0.0000000136742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217351549 - o**2 + 5*o**2 + 217351549.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*z**3\/11 - 712940*z**2\/11 + 2524940248*z\/11 + 117660699248\/11 = 0. What is z?\nAnswer: -46, 35762\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 10) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1428 or -265?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36000228 divided by 6000038?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 + 3*p + 1. Suppose 0 = 3*j - j + 8. What is k(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1232617 to the nearest one thousand.\nAnswer: 1233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 8)*42\/9. What is the derivative of 4*i**3 + 5 + q*i - 28*i wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 120 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 8*g + 2. Let u = 7 + -15. Let x be b(u). What is the first derivative of -x*y - 4 + y + 3 wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3c69 (base 16) to base 3.\nAnswer: 12012121221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-2)\/(-16))\/((-10)\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 24, 35, 46, 57, 68?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62593621 is divided by 305?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/494 and -49\/2223?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 576*p**2 - 163*p**2 + 2*p**3 + 606*p**2 - 3*p.\nAnswer: 2*p**3 + 1019*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 8. Calculate the smallest common multiple of l and -2 + 1 + 27 + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-8 - (0 + -9)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + sqrt(112) + 0 + 2 + sqrt(112) - sqrt(112))**2*-4 + 1.\nAnswer: 640*sqrt(7) + 9041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877342427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 3 + 8 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44925 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 7, e: 2}. What is prob of sequence ke?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73203299707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 r when four letters picked without replacement from rciiiiirr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 6*a + a - 1446 - 35752*a + 71512*a - 35757*a - a - 3*a + 2*a - 2 - a + 2 + (-1 + 1 - 1)*(a - 3*a + 4*a) - 4 + 4 - 2*a - 2*a + 0*a + a + 0 + a + 0.\nAnswer: -6*a - 1446","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -243. Let w = g + 91. Suppose -3*h - 1355 = -w*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 + 174*g - 31. What is n(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 43. Let a = -22 + w. Find the common denominator of 149\/6 and ((-1)\/(-7))\/(a\/(-332)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35584*o*w + 26720*o - w**2 + 2 wrt w.\nAnswer: 35584*o - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40325 + 82436 - 41207)*(-c + 3*c - 4*c).\nAnswer: -1808*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {t: 2, h: 2, o: 8, f: 1}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -302. Let p(s) = 8*s - 3. Let x be p(3). Let z = y + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592*g + 4276 = -29420 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**2. Let a(g) = 14*g + 9*g - 22*g. Give m(a(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 18*m**2. Let i(v) = -13396268*v**2. Give i(p(l)).\nAnswer: -4340390832*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 7 (c) -1 (d) 40\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 9*d - 12*d + 3*d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k - 10. Let c be t(4). What is the units digit of (-15)\/(-5)*(-34)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let o be v(8). Let w be (9 - 4)*o\/10. List the prime factors of w + (24\/(-2))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27328*v**4 + 77572*v wrt v.\nAnswer: 327936*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 7. Let a(k) = k + 10. Let u be a(-5). Give g(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147076949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 373831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*u - 10, -3*v - 21*u = -26*u + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (423 - 2*g - 45 + 13)*(10 - 33 - 25).\nAnswer: 96*g - 18768","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1954 + 4*z**2 + 36*z**2 - 3941 + 1970 as m*z + q*z**2 + v and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.39\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/9)\/((-61)\/22204*7).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.5. Let q = -114 + 113.4. Let v = q - u. Which is the third biggest value? (a) -4 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-6)\/(-5) - 1). Find the third derivative of -j**2 + 5*j**2 - 4*j**6 - o*j**2 wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*g - 30, 0 = 36*x - 31*x + 4*g + 41 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587287, 1174590, 1761893, 2349196?\nAnswer: 2936499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 5*v**2 + v + v + 14*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111011110011111101001?\nAnswer: 111011110011111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/45 - ((-282)\/(-10) - 0). Let o = 49 + p. Suppose -3*w = 4*x - 17, -4*x - 5*w = -x - o. What is the highest common divisor of x and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -751811 and 9.49?\nAnswer: 751820.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + 5*t**2 + 24*t - 4. Let v be l(-4). Let c = v - 170. Solve c*j + 15 - 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 49 = -2*b, p = -3*b - b + 43. Let f = p - -19. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:23 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*g - 95. Let a = g + 14. Let r(s) = 3*s. Let b(p) = -7*p - 1. Determine a*r(k) - 2*b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.915831t?\nAnswer: 915831000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - 0.6. Let l = m + -0.2. Let q = -2.5 + 3. Sort q, -2\/5, l.\nAnswer: l, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*z**5 - 144*z**5 - 1713*z**5 + (z + z**3 - z)*(-3*z**2 + 2*z**2 - z**2) + z**5 - 4 + 4 - z**5 - 5*z**3 + 5*z**3.\nAnswer: -1947*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 0 - (-28)\/(-7). Let t = q - -10. Find the third derivative of -3*r**4 + t*r**4 + 6*r**4 - r**2 wrt r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49897 + 43984 = 657*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44169958891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26682977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 71. Determine i(25).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*m + 341*m - 115*m - 112*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104774, 1104761, 1104748?\nAnswer: 1104735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2777428, -2777433, -2777438?\n\"Answer: -5*h - 2777423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103.773 - -104. What is x rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i - 7*i - i)*(2 + 5 + 0)*(0 + 5 - 4) in the form x + o*i and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -607.942 - -584.9. Let r = 23 + y. Let s = -0.04199958 - r. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405360.\nAnswer: 2, 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjjjjja. Give prob of sequence aaj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 + d - 7. Suppose -19*b + 26*b = -63. Determine y(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/8 + 7*r**3\/2 - 2*r**2. Let v(b) = -b**3 + 4*b**2 + 2*b + 2. What is the least common multiple of f(6) and v(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - -357. Let i = j + -394. Solve i = 4*q - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9269*v = -9302*v + 3881361. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24.9 in 2.3, 0, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 1. Let a(q) = 6*q**3 + 6*q**2 - 2*q - 2. Let n(d) = a(d) + 5*h(d). Let c be (-9)\/27 - (-34)\/(-6). What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 11789041.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let k = -0.39 + -0.01. Let b be ((-1)\/5)\/(2\/(-4)). What is the nearest to 0.1 in k, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed (base 15) in base 6?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/10)*k)\/((k**(2\/57)*k)\/k*k) assuming k is positive.\nAnswer: k**(493\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.6. Let r = -71 + 21. Let w = 50.2 + r. Which is the nearest to 1? (a) w (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2262\/(-348))\/((-5)\/(-70)*7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1258, 2520, 3764, 4978, 6150, 7268?\n\"Answer: -2*z**3 + 3*z**2 + 1267*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86495 (base 12) to base 5.\nAnswer: 21130240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93, -367, -823, -1461, -2281, -3283?\n\"Answer: -91*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-14))\/(-1 + 3). Let j = -0.01419 - 8.98581. What is the closest to 1\/4 in j, z, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.96 times -1.12\nAnswer: -8.9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 - 16*x**2 - 4*x**4 + 8*x + 1\/2*x**5 + 0.\nAnswer: x*(x - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) 1 (b) 1\/3 (c) -4\/3 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:51 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460 + 463. Which is the third smallest value? (a) o (b) -2 (c) -1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -36*w + 1. Let j(v) = -18*v. Let s(b) = 2*a(b) - 5*j(b). Let u(z) = -z**2. Give u(s(m)).\nAnswer: -324*m**2 - 72*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13454, 26794, 39912, 52700, 65050, 76854?\n\"Answer: -18*x**3 - 3*x**2 + 13475*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 - 6 = -2*q, -2*q + 8 = -4*u. Let p(z) = -4*z**2 - 2*z - 1. Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - 6.8. What is the nearest to 1 in -4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 5*v - 3. Let f be p(-3). Let x be 9\/(5 - (1 + 3)). What are the prime factors of f*6*(-6)\/x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 665*c**2 + 668*c**2 - 1991*c**2 + 673*c**2 + 43*c - 28*c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kexlxxexeexeluelxxx. What is prob of picking 1 e and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2806553 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 9:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4775.1 + -4775. Put -6, 100, -0.1, o, -2 in increasing order.\nAnswer: -6, -2, -0.1, o, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l + l + l**2 + 6*l**2 wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - f = -6 - 3, 4*f = -d + 15. Let h be (d\/(-9))\/(3\/9). What is the closest to 2\/7 in -4, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 2 = -70*s - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*t + 147*k - 145*k, -t + 4*k = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/384 and -77\/127716?\nAnswer: 4086912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3195.9994689 + -3196. Round j to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*p + 21, -4*p - p = -h - 18. Suppose 0 = -p*u - 2*l, u + l = -u. Solve -5*t - 5 = -5*b, 0*b - 2*b - 3*t - 13 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8854583*u**3 - 4438736*u**3 - 4415845*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19018878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-22 - (-3 + -17 + 7)) - -88\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3156363335.\nAnswer: 5, 29, 4519, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -122976.\nAnswer: -11928672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43021857 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*n**2*p - 76257*g*n**2*u + 5*g*n*p + 3*g*p*u + 49356*g*p - g*u + n**2*p + 2*n**2 - 2*n wrt u.\nAnswer: -76257*g*n**2 + 3*g*p - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjpp when four letters picked without replacement from jkjjjhppjjkkk?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k - 30. Let a be m(3). Suppose h = 2*j + 17, -2*h - 3*j + 27 = -0*j. Solve a = 3*o + h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*x + 56. Suppose -19 = -x*h - 12. Solve -h = 5*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 2*x + 126. Let g(z) = -2*z. What is g(y(n))?\nAnswer: 4*n**2 - 4*n - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257713?\nAnswer: 257713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.37505 and 20.\nAnswer: 20.37505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0.2, -2, -4\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 18 = -32. Suppose 3*s - d + 17 = 7*s, h*s = 3*d + 17. Solve -s*z - z - 27 = -4*w, 0 = -2*w - 2*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3*t + l**3 + 176*l**2*t - l**2 - 444*l + 21*t wrt l.\nAnswer: -12*l*t + 6*l + 352*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 3330*v + 67009. Determine q(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65\/2 + 32. Let q = 29\/48 + 1\/16. Which is the closest to v? (a) 5 (b) q (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2729476 and 5436.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 3*l + 3*l)*(3 - 4 - 1) - 2*l - l + 2*l + 2*l - 6*l + 2*l - 42*l - 15*l + 272*l in the form p + b*l and give b.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 2*l - 34, 3*t = 5*l + 31. Calculate the least common multiple of t and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 85247268574493.\nAnswer: 85247268574498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sow when three letters picked without replacement from {s: 1, x: 1, o: 1, f: 2, w: 2, u: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d - 1227 = 203 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.21127.\nAnswer: 0.084508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(4\/336). Calculate the greatest common divisor of j and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -700303.051 to the nearest one thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d**2 + 20 + 1674*d - 65*d**2 - 1662*d = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6474\/(-5)*9\/(90\/(-325)). Suppose -p = -5*d + 4*f, 34*d + 5*f - 42045 = 29*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263299 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 2614477?\nAnswer: -25\/2614477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxv when three letters picked without replacement from {x: 2, v: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (540\/(-132))\/(24*(-16)\/1760). Determine m so that -r*m**2 - 3\/4*m**3 + 75\/4 + 3\/4*m = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (5 - 1) + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 2, b: 3}. Give prob of sequence wbww.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 14 = -4*n, 3*w + 2*n - 828 = -849 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-60))\/((-6)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 1501\/9. What is the closest to -18 in -0.1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136.5 - 53. Let t = -75.64 + j. Round t to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54793 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29322893*j**3 + 453344318 with respect to j.\nAnswer: -87968679*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 21, 54, 107, 186, 297, 446, 639?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 6*o + 4*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 + (-12)\/(-12). Let p be (d\/6)\/(14\/(-6)). Which is the second smallest value? (a) 3\/7 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, -0.2, -150, 5 in ascending order.\nAnswer: -150, -5, -0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2403 and 3699?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 + 523. Calculate the remainder when f is divided by 4*6 - (18512\/(-7120) + -106*(-1)\/10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + -45. Let v be (-1 + -11)*(f\/18)\/13. Sort 3, 41, -3, v in decreasing order.\nAnswer: 41, v, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37.4 and 4.65?\nAnswer: 42.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, 0.1, 0.02 in descending order.\nAnswer: 5, 3, 0.1, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9803 + 21822. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 66*k - 383886. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74684553 divided by 17?\nAnswer: 4393209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22. Let u(z) = -33. Let s(p) = -8*d(p) - 5*u(p). Let i(y) = -5. Let a(n) = -9*i(n) + 4*s(n). Let j(m) = 2*m - 3. Give -4*a(x) - j(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 15*q**2 + 4*q**2 + 49476 - 3*q.\nAnswer: 19*q**2 + 49476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 42*u**3 + 56*u**2 + 18*u = 0. Calculate u.\nAnswer: -9, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 38*a**2 + a. Give v(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d - 1. Let g(s) = 3*s**2 + s - 4. Let u(p) = 3*p**2 - 4. Let l(m) = -6*g(m) + 5*u(m). Give -l(v) - 4*r(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 - 149. Which is the third biggest value? (a) z (b) -2\/13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.258 + 0.245926. Round v to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 4, -2\/21, 0.4 in ascending order.\nAnswer: -1, -0.2, -2\/21, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -147748\nAnswer: 1\/147748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 797 - 10730181614.\nAnswer: -10730180817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451790 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6 - 20042*v**5 + 4*v**3 - 960227*v**2.\nAnswer: -240*v**3 - 1202520*v**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4891500 to the nearest ten thousand.\nAnswer: 4890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/12 + 131*y**3\/6 - 411*y**2 + 8*y + 317. Determine r, given that q(r) = 0.\nAnswer: -137, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10, 5*l - 2*g + 150 + 780 = 0. Let w = l - -190. Solve 5*o + 6 = -4*h - 30, -24 = w*h + 4*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(1560\/(-54))*20\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75444547 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + 27?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-390) + 1\/(70\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/8, 4653, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 358, 0.4, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3857*x**2 + 3861*x**2 - 214*x - 7717*x**2.\nAnswer: x**2 - 214*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*q**2 - 3*q**2 - q**2 - q**3 - 4 in the form b*q + o*q**2 + i*q**3 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*n + 288. Suppose 0 = -5*g + 2*g - n. Does 18 divide (-873)\/g + (0 - (-9)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -18*z**3 - 2*z**2 + 2*z - 1. Suppose y - 5 + 33 = -x, -4*y = -3*x + 77. Let d = -22 - y. What is n(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g + 16*g - 2 + 54*g - 12*g + (4*g + 2*g - 4*g)*(1 + 2 - 5))*(-133 - 3*g + 133).\nAnswer: -159*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6780, 6672, 6570, 6480, 6408, 6360, 6342?\n\"Answer: b**3 - 3*b**2 - 106*b + 6888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 1. Let g be y(-3). Let o be (4\/g)\/(-16 + 10). Let f = 0.316 + -0.616. What is the closest to o in -2, 4\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3879 is divided by 1813.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -1272\nAnswer: -7632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:16 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 18*f**2 - 16*f + 10. Let l be p(-15). Let o = l + -121. Suppose 10*r + 74 = o. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 695 + -10. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6983, -6985, -6987, -6989, -6991, -6993?\nAnswer: -6995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 0*m - 11429*m**2 - 14656*m**2.\nAnswer: -26085*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**3)*u**(-4))\/(u**0*u\/(u\/(u\/(u\/u**(-5))))))**(-22))**(-11\/6) assuming u is positive.\nAnswer: u**(-242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4716*s = -4753*s - 1665 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.283 + -187.717. Let f = -187.7 - c. Put 5\/4, 0.032, f in ascending order.\nAnswer: 0.032, f, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 48 (b) -48\/47 (c) -0.4 (d) 4\/3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -118274 and 2.\nAnswer: -118272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*d - 4*r, d = -4*r + 14 + 6. Let z be 7 + (d\/(-1))\/2. Let f = -725 + 730. Is f greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*30\/25)\/(144\/(-4860))*66\/33\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 88. Differentiate -l - 26*j**3 - 16 + 57 with respect to j.\nAnswer: -78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2519 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 - f. Let w be v(5). Let j = w + 214. Suppose -4*z = -18 - j. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 20. Let f(n) be the first derivative of n**3 - 336. Give r(f(m)).\nAnswer: 3*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 14 (b) -5 (c) 5 (d) -30 (e) -0.204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/10 + 6\/(-15). Suppose 5*f + 2*r = -o, 0*r = 5*f + 3*r + 10. Let t(w) = 2*w**2. Let b(h) = -h**3 - h**2 + h. Calculate f*t(p) + 2*b(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230 + 1154\/5. Let s be 0*(-1 + 2\/4). Factor f*b - 6\/5*b**2 + s.\nAnswer: -2*b*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(9)\/(sqrt(75) - sqrt(3)))*-5.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21101 (base 5) to base 6\nAnswer: -10253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*y + 5*g + 6, -14 = -2*y - 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11970072)\/(-664551) - (-4)\/(-326)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 61245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (2 + -8 + 8 + 22 + -10).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 55965064?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + (131 - 1))) + (8787 - 8778)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*6*((sqrt(45) + sqrt(5445) + sqrt(45))\/sqrt(9) + (sqrt(5) + 5*sqrt(5))*-5))**2.\nAnswer: 208082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 8*p**2 + 5*p - 5. Determine x(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 503846336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(468))**2.\nAnswer: -24*sqrt(13) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let r be k(-6). Suppose -10 - 185 = -r*h - 3*o, 2*o = -3*h + 285. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/2 + 13. Let o = 3.5 + -0.2. Let j = -0.3 + o. What is the closest to i in 5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 679.5914 years?\nAnswer: 67.95914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*b + 3*y = 202*b - 34, -6*b = y - 122 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -588 - 362. What is the remainder when 100 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 - 540*m**3 + 1602*m**2 - 1596*m + 531 = 0.\nAnswer: 1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 7*a - 12. Determine v(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 11*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 98*w**2 + 46*w**2 + 49*w**2. Let i(v) = v**2 + v - 1. Let u(n) = f(n) + 2*i(n). Let c(q) = q**2 - 4*q - 3. Let p be c(5). Determine u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 131.\nAnswer: -22\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2. Suppose 7*b - 3*b + 4 = 4*p, -p = b - 7. Suppose 0 = 6*n - 4*n + p. Calculate g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) - (1 + sqrt(1008)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -298*l + 2091. Is a(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-25 - -25) - (1 + -8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = -3*a, -5*a - 2 = -4*f - 25. Let q(y) = y + 6. Let j be q(f). Which is greater: j or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2126 + -2125.8. Let z = -3 - -3.3. Which is the nearest to -2? (a) s (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8543, 8580, 8641, 8726?\nAnswer: 8835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 5*h**2 - 7*h + 6. Let j(v) = 5*v**2 - 5*v - 1. Let l(m) = 11*m**2 - 11*m - 2. Let q(z) = 13*j(z) - 6*l(z). Calculate c(d) + 6*q(d).\nAnswer: d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3580715530185 and -0.1.\nAnswer: -3580715530185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 2*w - 3. Let v be (-177)\/(-21) - -8*9\/126. Let b(f) = v*f - 2 + 8*f - 27*f + 3 + 9*f. Let s = 8 - 4. Determine s*b(d) + l(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.92146 decades?\nAnswer: 0.1192146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*u**3*v - u**3 - 25769109*u**2 - 44612778*u*v + 3*v wrt u?\nAnswer: -84*u*v - 6*u - 51538218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 144.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.1. Let l = -0.1 + -0.2. Let d = -27 + 26.6. What is the closest to t in 4, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 2) - (-5 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let w = 5.6 - 6. What is the smallest value in g, w, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1963755*s**4 - 5*s - 73879?\nAnswer: 23565060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/198 and 58\/297.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2, d: 6, m: 5, h: 1, i: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*s - 28917 = 66*s. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 4*s**2 + s - 1. Let b(h) = -2*h + 3 + 0 - 2*h**2 + h**3 - 2*h**2. Let z be b(4). Is i(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178250 or 178223?\nAnswer: 178250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 0 + 4 + (36 - (10 - 33)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/7))\/j)**(2\/37)\/(j**(-2\/9))**(2\/47) assuming j is positive.\nAnswer: j**(1882\/109557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120201100 (base 3) to base 4.\nAnswer: 2303001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58147 - 89670. Is (0 - -3)*o\/(-87) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2991, 2981, 2971, 2961?\n\"Answer: -10*m + 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633421232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -737, -1314, -1879, -2426, -2949, -3442, -3899?\n\"Answer: s**3 - 584*s - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -718\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26730921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 122, -3, 0 in decreasing order.\nAnswer: 122, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32825 is divided by 304.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 32, 22, 14, 8, 4, 2?\n\"Answer: b**2 - 15*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.492 to two decimal places.\nAnswer: -2.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (144\/20)\/(20\/50). Suppose -k = -t - 4*a, -9 = t - 4*a + 5. Solve -t*c = -c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -529, -533, -537?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 7*x - 217*x**2.\nAnswer: -217*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*(35\/(-14))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076032652 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 967714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 53313\nAnswer: -11\/53313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-186)\/(-40)*(-170)\/(-204) and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6972 = 30*i - 16*i. Let f = i - -500. Factor -1\/3*d - 1\/2 + 1\/6*d**f.\nAnswer: (d - 3)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/((l\/(l\/l**(3\/4)*l))\/l)*l)*l)**(2\/79)\/(l**(-4\/5)\/(l**(-2\/21)\/l)) assuming l is positive.\nAnswer: l**(-6263\/16590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126714*p**3\/5 - 2154142*p**2\/5 + 68*p\/5 = 0. What is p?\nAnswer: 0, 2\/63357, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-5)*(-4770)\/(-1431).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l - 5. Let w be (6\/l)\/((-1)\/2). Solve 3*t = w*o + 4 + 5, -5*o = -4*t + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250*f**2 - 154*f**2 + 128*f**2 + 152*f**2 - 350*f wrt f.\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 252. Let o be d\/(-48) + 2\/8. Let n = -716 - -718. Solve -n*m - 16 = o*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l = 44*l - 85 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221597455.\nAnswer: 5, 2539, 253769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287539 by -117049.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayxaanaaxaxl. What is prob of picking 1 l and 2 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96282472.\nAnswer: 2, 11, 13, 84163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3780882684 and 20399.\nAnswer: 3780903083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g + 1. Let b be c(2). Let v = -20 - b. Let n = v + 32. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150146539.\nAnswer: 150146539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = j - 0*p - 30, 4*j + 5*p = 45. Suppose -2*w + 5*h + j = 11, 12 = 4*w + 2*h. Is ((-3)\/(24\/(-356)))\/(w\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -25490, -2 in ascending order.\nAnswer: -25490, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 112*m**3 + 10*m + 3. Let q(n) = -335*n**3 - 27*n - 7. Calculate -8*f(i) - 3*q(i).\nAnswer: 109*i**3 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -7*c**4\/4 - 2*c**3\/3 + 3*c**2\/2 - 3*c - 4. List the prime factors of y(-3).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*r = -104*r - 3967 - 2543 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0, -1, 5554 in descending order.\nAnswer: 5554, 23, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -0.13. Suppose -3 = -2*k + 11. Let n be k\/7*(0 + (-3)\/(-5)). Which is the closest to -2\/15? (a) r (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004197 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from cccasnscsnccscscccac?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*g + 66*g - 23*g - 648 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 29*x**6\/120 + 5*x**4\/4 - 16*x**2. What is the second derivative of a(v) wrt v?\nAnswer: 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 20*f**2 - 32*f + 27. What are the prime factors of b(-19)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -166*p + 21892. Determine d(133).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 771, 713, 559, 261, -229, -959?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-7)\/((-140)\/24))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 + 210*v**4 + 3123*v**3 - 15108*v**2 + 15996*v = 0.\nAnswer: -43, -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -13 + 1. Let v(m) = 3*m**2 - 100*m + 296. Let x be v(38). Suppose x = 7*f - c*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4658211 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*k - 2924 + 2924 - 20*k**3 + 380*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 8*b**2 - b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let w be z(4). Suppose 3*y - w*y = -9. Calculate the greatest common factor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 19*h**2 + 22*h - 1. Let g be q(20). Suppose 0 = 2*m + i - g, m + 3*i - 24 - 3 = 0. What is the highest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1101 - 1105) + ((-16)\/(-19) - (2 - (-1 - -6)))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 622260\/8190 - 29.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -169, -363, -629, -967, -1377, -1859?\n\"Answer: -36*g**2 - 14*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g, -2*v + 23*g = 22*g + 3308. Is -1654 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -432, -1528, -3666, -7194, -12460, -19812?\n\"Answer: -58*g**3 + g**2 + g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(-2 + sqrt(675)) + 4 + ((sqrt(675) + -4*(-1 + sqrt(675) + sqrt(675)) - sqrt(675)) + sqrt(675))*-1))**2.\nAnswer: -12000*sqrt(3) + 1080100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/18 + 2*k**3\/27 - 2*k**2\/3 + 3. Find g such that j(g) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 9*v - 18 = 0. Suppose v*y + 4*y = 0. Solve -k - k + 6 = y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {j: 1, o: 8, g: 3, c: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304878202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698a (base 13) to base 12.\nAnswer: 86a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-1807)\/278*(-16)\/(-26)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31137, -124626, -280471, -498666, -779205?\nAnswer: -1122082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 4*q)*(5 - 3 - 1)*(39 + 177*q - 39)*(5 - 1 - 2).\nAnswer: 2124*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1061525 (base 8) to base 16.\nAnswer: 46355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13735 - 13754. Which is the biggest value? (a) 6 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**2 - 28*k**3 - k**2 + 13*k**3 + 3 + 19*k**3 as a + m*k**3 + h*k + x*k**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o = -5452977 + 4691480 - 8787153. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15014 (base 6) to base 4.\nAnswer: -211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 77. Which is the nearest to -0.13? (a) 2 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 6, -2, -12, -24, -38?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 93*k**2 - 2*k + 2. Let z(q) = -q**3 + q**2 - q + 1. Determine o(i) - 2*z(i).\nAnswer: -2*i**3 - 95*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/64*-4*(-5 + -1). Suppose h*l - 5*q + 1376 - 4925 = 0, 0 = -l - 4*q + 1200. Is 99 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 15. Suppose n*r - 2*r = -4. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 + 4*f**3 - 4*f**3)*(23*f - 68*f + 13*f + (1 + 1 - 4)*(3*f + 0*f - 4*f) + 7 - 7 + f) as o*f**3 + z*f**2 + s*f**4 + b*f + m and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 1. Let u(i) = 11*i + 8. Determine -6*b(t) - u(t).\nAnswer: t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+46.458286\nAnswer: 46.058286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -544*o**2. Let t be p(-1). Let d = t + 546. What is the closest to d in 0, 0.14, -2\/9?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2127377, 4254756, 6382135, 8509514?\n\"Answer: 2127379*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -522249, -1044512, -1566775, -2089038?\n\"Answer: -522263*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c**3 + 3)*(-419 + 104 + 374*c - 370*c)*(5*c - 2*c + 0*c + (-3*c + 0*c + 4*c)*(3 + 1 - 2)).\nAnswer: 20*c**5 - 1575*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17846609607 - -0.6.\nAnswer: -17846609606.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 669315031*w**2 + w**3 - 669315033*w**2 - 3*w + 13 - 5*w**3 in the form n + h*w + v*w**2 + f*w**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 - 12*d**2)*((-1 - 2 + 4)*(0 - 2*d + 0) + 2*d + d - 2*d) in the form r*d**3 + b + x*d**2 + p*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1111.99 - -1120. Let t = 3.01 - w. What is the closest to t in 2, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18490.34 hours to minutes.\nAnswer: 1109420.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 8. Let d be l(6). Let z(i) = -i**3 + d - i**3 - 6*i**2 + i**3. Let k be z(-6). What is the greatest common factor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10448 + 157*m**3 - 145*m**3 - 15*m**3 - 603*m**4 + 2*m**2 wrt m?\nAnswer: -2412*m**3 - 9*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7*m - 2 - 2 - 4*m**2 in the form b + a*m**2 + p*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1516 + -3?\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -15. Suppose 3*k - h = -3*f, 0 = 2*f - f - k - 11. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - 12. What is the common denominator of 23 and 17\/n + (-7)\/(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**4\/8 + 18*u**2. Let a(i) = -19*i. What is y(a(d))?\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1266625 > -1266162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4795*x**3 - 4794*x**3 - 4798*x**3 + 14393*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 10*p + 4. Let d be l(10). Let r = d - 4. Suppose -4*g + 9*g - 20 = r. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4858*l + 6. Let i be 4\/(-22) + 75\/(-11). Let m be h(i). What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffvfvvffyhhyffy. What is prob of sequence vv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let u be q\/((-6)\/9)*-2. Suppose 0 = 3*a - 21 + u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 303*r - 954. What is j(103)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512*p**2 + 2 + 353*p + 299*p - 652*p to the form d*p**2 + c*p + b and give d.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 12 = -22*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4847*g*t**2 + 26*g - 508073*t**2 wrt g.\nAnswer: 4847*t**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = a + 8. Calculate the remainder when -38*(-1)\/(-4)*a\/14 is divided by ((-6)\/(-4))\/(2\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 7808 = -3*i. Let u be (3\/2)\/((-24)\/i). What is the units digit of 3\/(-6) + u\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 40*x - 43*x + 169849, 17*x + a = 962683. What are the prime factors of x?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-63))\/(78\/(-234)). Which is the nearest to -2\/3? (a) -6 (b) g (c) 184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13930 divided by -10?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.4 (b) -4466 (c) -3 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*c = 4635 - 378 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 303 = 55*s + 159. Solve 5*w = -3*z, -3*z + 0*z = -s*w + 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32499*m**3 - 4167*m**3 - 160*m**3 + 2830*m**3.\nAnswer: -33996*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1061 + -1054. Which is smaller: k or 244?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-10)*(1 + 2 - 1). Let t be (-5)\/((p + 10)\/4). Let f(r) = r + 2. Let x(a) = 2. Give t*f(b) + 4*x(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -265. Let m = v + 73. Solve i = 2 - 3, -5*i = -m*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, b: 12}. Give prob of sequence bbhh.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -181. Let r(s) be the first derivative of x*s**3 - 4\/15*s**5 + 0*s + 0*s**2 - 1\/3*s**4 + 7. Factor r(v).\nAnswer: -4*v**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2248 is divided by 141?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226 (base 7) in base 13?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1130123?\nAnswer: -1130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1000032922 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 151 from -0.0033582.\nAnswer: -151.0033582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -1\/3, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - 200. Let w = c - -237. What is the least common multiple of w and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-3*(-14)\/21. Suppose -2*g + q*h + 8 = -0*g, -5*g + 4*h + 19 = 0. Solve -g*j - 3 = 3*t - 5*t, 5*j - 4*t = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 363*x - 1439. Let c be g(4). Put c, 3, -1, 485 in ascending order.\nAnswer: c, -1, 3, 485","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + 12 + -31 + (16 - 14) - (-1 + 0).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13.33468 - 86\nAnswer: -72.66532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99169.66l?\nAnswer: 99169660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 449 (b) 554 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/3)*s)\/s*s**(-7)\/s*s*s)\/(s**(-2\/9)\/s*s*s\/(s*s**(-4))))\/(s**5*s**(3\/7)*(s*s**(-1))**(-21)) assuming s is positive.\nAnswer: s**(-916\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 172017871 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -113*w**3 - w**2 - 2*w - 1. Let q be x(-1). Suppose q - 95 = 2*m. Calculate the remainder when 14 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**5\/5 - 5*i + 6. Let q(l) = l**2 + 6. Let r(j) = 6*o(j) + 5*q(j). What is the third derivative of r(m) wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29983207 to the nearest integer?\nAnswer: 5476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 8*n**3 - 54*n**2 + 76*n - 32.\nAnswer: 2*(n - 2)*(n - 1)**2*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168330 is divided by 12429.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 606457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyypp. What is prob of picking 2 p and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893172 is divided by 145626.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 9:13 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79269, -317095, -713473, -1268403, -1981885?\n\"Answer: -79276*i**2 + 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) - 38\/9. What is the common denominator of 6\/(-4)*(w - (-80)\/21) and -38\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 2\/11 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1210048\/111)\/((-2)\/108). Is (-1)\/(-5) + s\/(-240) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73896 - 39103. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9196*n + 21*n + 786*n)*(2 + 1 - 4) + 0*n + 0*n - n as z*n + a and give z.\nAnswer: 8388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/3 + 7*m**2\/2 + 2*m. Let o be (-37)\/7 + 2\/7. Let f be c(o). Put 0, f, 5 in decreasing order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 16*j - 45. Calculate the least common multiple of l(5) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261225718, 261225719, 261225720, 261225721?\nAnswer: 261225722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92.1 + -88. Let q = -1.9 - -2. Let t = q - a. What is the second smallest value in 4, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -50947.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 12*r**2 + 13*r - 27. Calculate c(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*f + 1 - 3, 0 = 4*f - 4*g - 20. Let h(n) be the second derivative of n**4\/6 + n**3\/6 + 36*n. Determine h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/((-2)\/4). Let d = -6 + 6. Sort c, d, 3 in decreasing order.\nAnswer: 3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 2*o - 22, 2*z + 19 = o + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -47*m - 90. Let w be y(-2). Solve -w*s = -5*a + 5, 5*a - 5 = -15*s + 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13638*w**2 - 39376*w.\nAnswer: -27276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6289*y + 3043872. Calculate g(-484).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-78 - -39) - (36 + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*g**2*h**3 + 4480*g**2*h - 16*g*h**3*o**2 + h**3*o**2 - 2*h**2*o**2 - h*o**2 wrt h?\nAnswer: 390*g**2 - 96*g*o**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -613\/20?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 230670411 to the power of 1\/2, to the nearest integer?\nAnswer: 15188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from hglmmgxglmhmmlhm.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 2*f**2 - 5*f - 2. Let c be n(4). What is the units digit of (-4)\/c + (-81)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 x, and 1 r when four letters picked without replacement from ttltlxrrlrtpt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25670266?\nAnswer: 2, 12835133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/(0 - (-6)\/(-18))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6622 (base 16) in base 7?\nAnswer: 21156016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4373889576?\nAnswer: 2, 3, 7, 23, 1131959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 76. Let d be (-6)\/2*68\/6. Let f = r - d. Which is the biggest value? (a) 5 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1119984\/21 - 17) + (-9)\/(-21) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - -130?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/13302 and -97\/2956.\nAnswer: 26604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 115 = 25 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444430.2 rounded to the nearest 100?\nAnswer: 444400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(-46))**(-30) assuming t is positive.\nAnswer: t**345","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -4219?\nAnswer: -1265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 706 times -0.5\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4059 divided by -514.\nAnswer: -4059\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose -7*y + 78 = -y. Suppose 0 = -u - y + 15. Solve -u*v - m*v = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221393 smaller than 0.038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l)**40*((l**(-6)*l)\/l*l)\/(l\/(((l*l*l**(-3)\/l*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b - 4*b)*(0*b - 2*b + b)*(0*b - b - b)*(3 + 0 + 0).\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3216, 2\/3, -7, 2\/7, 2, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:01 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 2*b**3 + 0*b**3 - 4*b + 2*b**3 + 4*b + (4*b**3 - b**3 - b**3)*(-9 + 1 + 0).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = 2*o, 8 = 2*d + 4*o - 4. Suppose -d*u = -u. Suppose u = -i + 13 + 2. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 5. Let i(h) = -5*h + 5. Let c(d) = -5*i(d) + 6*m(d). Is 9 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*p**3 - 1399643910*p**2 + 1399643910*p**2 - 338*p**3.\nAnswer: -214*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 10*h - 5*h - 2*h. Let m(o) = 2*o. What is l(m(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 6*s + 111 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.32, 2\/23, 1099\/23?\nAnswer: 1099\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452218 is divided by 9044.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 3*p**2 + 2*p**3 + 47 + 3*p**2 to s*p + h + c*p**2 + w*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12*-2)\/((-6)\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -3*h**5\/10 - 5*h**3\/3 + h. What is the second derivative of m(g) wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 4, e: 2, r: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.087 in 4, 1\/19, 4\/3, 0.3, -5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 + v**2 - v + 1. Let k be n(1). Suppose -5*t = -64 - 91. What is the remainder when t is divided by (0 - k)*(-10 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*y**4 + p*y**3 - 11291313*p*y**2 + 5*p*y + 2825264*y**4 wrt y?\nAnswer: -48*p*y + 6*p + 67806336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 16 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 - 8*n + 12. Let j be i(7). Suppose -2*t + j*a = -123, -3*a - 60 = -0*t - t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 97 - 98 + 0*q - 571 + 0*q + 766.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -8)\/((-16)\/(-64)*4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1082 and 55\/8.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 2:54 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50416 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 0.22, 14, 0.2.\nAnswer: -0.3, 0.2, 0.22, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*i**5 - 1\/3 - 1\/3*i**3 - 7\/6*i + 1\/3*i**4 - 4\/3*i**2.\nAnswer: (i - 2)*(i + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2 + 5 - sqrt(112))**2 - (sqrt(112) + 4*2*sqrt(112)).\nAnswer: -156*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2698, 7681 in ascending order.\nAnswer: -2698, 1, 7681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - 7829.\nAnswer: -7773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 270\/(-675)*(-15)\/(-6)*-42. Solve -q*r = -36*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 63?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 30*k**2 - 3. Let j(c) = -5*c. Calculate w(j(z)).\nAnswer: 750*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/12 - (-76880)\/(-465)*1\/(-20).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*25920.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 - 6*c - 3*c**2 - 4*c**2 - 6 + 0*c**2. Let j be ((-2)\/(-6))\/((-4)\/(-36)). Let o be 4\/(-10)*j*-5. Calculate m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n**2 + n - 4. Let i(q) = q**3 - 28*q**2 + 4*q - 99. What is the remainder when f(-5) is divided by i(28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 258*v - 98. Let l(s) = 773*s - 261. Let n(w) = 3*l(w) - 8*q(w). Let b(c) = c. Determine n(b(t)).\nAnswer: 255*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8104 and 3356069.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 - -1.3. Let t = o + 4. Which is the closest to -6? (a) t (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:14 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -38.2. What is the nearest to 1\/2 in 0, 1\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -291, -573, -963?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20089811 is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w)**(-25\/3)*((w**1\/w)\/w)**(-28))\/((w**2)**45)**19 assuming w is positive.\nAnswer: w**(-1707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/6 - 5*b**3\/3 + 5*b**2. Let m(l) = l - 1. Let x(j) = -6*m(j) + p(j). Calculate x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.4. Let a = 0.5 + l. Let f = 0.3 + -0.4. What is the nearest to 0 in a, 4\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 4 - 1 + 1 + 1 - 4. Determine h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349 - 574 - 110)*(3*s + 0*s - s) to l + a*s and give a.\nAnswer: -2066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from {q: 4, z: 1, i: 1, j: 1, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 2 - 23 + (2 - 3 + 0)*(1 - 2 + 0) - 1 + 4 - 1)*(3*w**4 + 2*w**4 + 10*w**4) as y + u*w**2 + r*w**4 + l*w**3 + n*w and give r.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -45*a + 3. Let t be 4*(3 + (-35)\/10). List the prime factors of s(t).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 4*b + g, 3 = b - 4*g - 33. Calculate the least common multiple of 2 and b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 1372.\nAnswer: 108388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188212045?\nAnswer: 5, 7, 67, 83, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/3 - 1391*s**3\/6 - 1316*s**2 - 3417*s\/2 + 513 = 0. Calculate s.\nAnswer: -342, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.36 - 5.36. Sort 1\/8, 9, j in increasing order.\nAnswer: j, 1\/8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 3*a - 13. Is s(-10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680699 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 j be 10 - (-1 + 4) - 4. Suppose 3*x - 1266 = -j*m - 0*m, 1262 = 3*x + 5*m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 12, m: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 175. Suppose -30*d - f = 23. What is the closest to 1 in d, -262, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 419200 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Let g(v) = 8*v**2 - 14*v**2 - 4*v + 11*v**2. Let q(m) = -m**2. Let f(t) = -g(t) - 4*q(t). What is f(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421944, -421946, -421950, -421956, -421964, -421974, -421986?\nAnswer: -422000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Let p(a) = 5*a**2 - 3*a - 6. Let d(i) = 5*i**2 - 2*i - 4. Let h(x) = -3*d(x) + 2*p(x). Determine h(o(f)).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, e: 11}. Give prob of picking 2 e.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 39.4 (b) 0 (c) -0.21 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2200 divided by 4\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23488, 187126, 631276, 1496194, 2922136, 5049358, 8018116, 11968666?\nAnswer: 17041264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3855201?\nAnswer: 3, 7, 183581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*p + 100. Let f(d) = 5*d + 25. Let c be f(-3). Calculate the highest common factor of p and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8084626 is divided by 224572?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27150 * -3.\nAnswer: -81450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1217?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 526 - 526. Sort 11, g, -8 in descending order.\nAnswer: 11, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18258967.\nAnswer: 18258967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -887837.1.\nAnswer: -887836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3382541\nAnswer: -3\/3382541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74194908 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1 (b) -2\/5 (c) -5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 144 = 2*h. Find the common denominator of 9\/h*19\/(-1) and 113\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120875.6682 seconds in weeks?\nAnswer: 0.1998605625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10739\/(-11470) - (0 - 1). Let x = -3\/310 + l. Let s = 88\/259 - x. Which is the closest to -2? (a) s (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n + 4 = 0. Let f be ((-42)\/(-9) + n)*3. Suppose w - f*w = -2*z + 15, 18 = z - 4*w. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4880 = 9104*l - 9226*l for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 11. Let r(n) be the third derivative of n**5\/60 + n**4\/6 + 19*n**3\/6 + 2*n**2 + 85. Is 16 a factor of r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5057 and -36\/4433?\nAnswer: 1724437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-24)*50\/15*-114*(-9)\/(-225)?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2. Let w(p) = -127*p**2 + 4326*p - 4326*p. Calculate w(d(v)).\nAnswer: -3175*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/63 - 32\/(-84).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2823*h - 1362*h - 1420*h.\nAnswer: 41*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 1\/3*k**3 + 0*k + k**2 - 1\/4*k**4 + 4. What is n in z(n) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1518998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1954881 divided by 51.\nAnswer: 38331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 74. Suppose d*z = 11*z. Solve z = -m + 2 - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2157178912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1+1995571.7\nAnswer: 1995572.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.148 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -27*i - 12. Let v be p(-20). What is the greatest common divisor of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 + 4*v**3 + 925*v**2 - 8428*v + 2 wrt v?\nAnswer: -24*v**2 + 24*v + 1850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i - 41. Suppose -y - 3*y + 5*h + 33 = 0, 3*h + 19 = 2*y. Suppose -i = -4*t - y. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/88279 (b) 3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**3 - 11\/12*g**5 + 0*g**4 - 29\/60*g**6 + 0 + 0*g + 3*g**2. What is the third derivative of i(w) wrt w?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252732392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 81. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/1463 + -106808\/13167. Let p = 366398279\/133000 + 12\/16625. Let b = -2745 + p. Calculate the common denominator of b and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + 0.19. Let x = -14 + 10. Which is the closest to -1\/4? (a) r (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387142 is divided by 193518.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -2.7. Which is the closest to 1? (a) 2\/7 (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 3462*y + 187600 = 0. Calculate y.\nAnswer: -1675, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 119 + 345 + 97*a - 80*a - 120.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -b7?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1.4, 3\/8, 31\/12 in increasing order.\nAnswer: -1.4, -0.07, 3\/8, 31\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242012552 a multiple of 11942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 23105 - 2841*a - 23105 in the form l*a + m and give l.\nAnswer: -2841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22 and (-5*(-26)\/(-396))\/(27\/(-54)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + 16*y**3\/5 - 63*y**2\/5 - 16*y\/5 + 64\/5.\nAnswer: -(y - 8)**2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-996)\/(-7553) + 4\/26\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1 (c) 47 (d) 30\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -y - 5*r + 3*r, -2*y + 4*r = -6. Let h be y\/12*2*-2. Put h, 5\/4, -4 in increasing order.\nAnswer: -4, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 30 = 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.1 + -29. Let o = 15 - 14. Let x be o*((6 - 3) + -4). Which is the second smallest value? (a) r (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/112)\/((77161\/584)\/151)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.3 + -3.5. Let m = -3 + n. Suppose -48*s + 180 = 420. Which is the third biggest value? (a) 2 (b) 0.2 (c) m (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 - 3. Suppose 10 = -4*t - 5*u - 13, u + 5 = -t. Let v = t - x. Solve p + p + 3*h - 6 = v, 0 = 5*h - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/((-1)\/(-5)). Suppose -5*q = -4*l + 20, a*l = 8*l. Let o(b) = b**3 + 4*b**2 - 3*b - 4. What is the units digit of o(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 10. Let g(l) = l - 4. Let n(c) = 5*g(c) + 2*j(c). Let t(d) = 11*d**2. Let p(k) = -4*k**2. Let s(q) = 8*p(q) + 3*t(q). Give s(n(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10904 = -249*k + 248*k, k + u - 10886 = 0. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28. Let w be (0 - 1)*(-14)\/56. What is the nearest to h in 0.3, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 203?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 887\/630 smaller than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33742334.\nAnswer: 2, 23, 47, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = -10*y - 12376. Which is smaller: -237 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26616 and 140754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 58375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3652\/5 or 17665?\nAnswer: 17665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15554*l**3*y + 932*l**2*y - l**2 wrt l?\nAnswer: -93324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((2 - 1)*8\/(-392)). Let p = n + 197. Suppose 2*s - p = 156. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8450 - 8450 + 86*l**4 - l**4 + 2*l**4 + 0*l**4 + (0*l - 3*l + 4*l)*(2*l**3 + 2*l**3 - 2*l**3) - 2*l**4 - l**2 + l**2.\nAnswer: 87*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 52*o + 15*o = -583 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3248 and 3139801?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)\/(((w**(1\/3)*w)\/w)\/w*w))**(6\/5) assuming w is positive.\nAnswer: w**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44344, -88682, -133020, -177358, -221696, -266034?\nAnswer: -310372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10\/39 - -1\/13. Suppose -15 = 3*t, -6*q = -2*q - 5*t - 13. Let l be (-5)\/q*(-2)\/10. Which is the closest to r? (a) 0.2 (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 57323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -167, -161, -155, -149?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 - 135*b + 140 = 0. Calculate b.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5735663*h**3 - 590996833*h**2 wrt h.\nAnswer: 34413978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1072 - 3215\/3. Put -1\/3, -191, g in increasing order.\nAnswer: -191, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = 3*u, -5*d + 43 = 5*u + 8. Let h(f) = -f**2 + 8*f - 6. Is h(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -2*g, -86*n + 85*n = 5*g - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/19, 1.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 98, 170, 258?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = s - 2*o, -4*s = -o + 4*o - 41. Calculate the smallest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 6, v: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6393366 is divided by 443.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, m: 2, x: 1, s: 3}. What is prob of picking 1 r and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from {u: 3, k: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34105, 34265, 34425, 34585, 34745?\n\"Answer: 160*j + 33945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/220 and -99\/46748.\nAnswer: 2571140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 121*i + 199. What is the remainder when 105 is divided by z(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**3 - j**2 + 3*j - 2. Let z = 36 + -38. Calculate the remainder when l(z) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -24 + (-731 - -737).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + 3. Let s = k - -1.20000051. Round s to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*x + 295 = 0, 2*r = -r + x + 181. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*s - 4*w - 73, 45*s - 2*w + 403 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s**2 + 17*s. Determine c(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -83, -96, -125, -176?\n\"Answer: -c**3 + c**2 + c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-57)\/19)\/((-6)\/20). Let m(u) = 8*u**2 - 37*u + 43. Let l be m(d). What is the highest common divisor of 43 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 49 = 2*t, -2*k + 3*t - 20 = 16. Let f = k - -10. Let y be (-1)\/(1\/2*-1). Sort f, y, 5 in ascending order.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18010026.\nAnswer: 2, 3, 107, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v + 4*g + 60, -5*g = -4*v - 69. Is 23 a factor of -1684*1\/v*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1702, -1702, -1700, -1696, -1690, -1682?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645893.\nAnswer: 3, 47, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, -4486, -1\/2, 0.6 in ascending order.\nAnswer: -4486, -3.5, -1\/2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 315*t**2 + 6*t + 2 + 33*t**2 + 133*t**2. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*-1*3\/(-6). Let b be c*1\/3 + 2. Solve 4*h - 16 = 0, -o + b*h - 21 = -h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119) + 2*sqrt(119)))))\/((sqrt(126)\/sqrt(9))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t - 141 + t**2 + 136 - 3*t**2 - 15*t. Calculate i(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200120022100 (base 3) in base 14?\nAnswer: -9727c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -5, -24, -3\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*p**2 - 7*p**5 - 51*p**2 + 6*p wrt p.\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827023767 a multiple of 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (6\/(-8))\/(4\/16). Suppose -2*o = -b + 2, 7*o - 2*o = h*b - 10. Suppose 0 = -b*x + 8*x + 4. What is the smallest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/12*(-1 - 1). Let i be -1*-11*(0 + -1). Let s = n + i. Let w(q) = q**2 + 5*q + 5. Determine w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 2. Let x be (6\/4)\/(5\/50). Calculate the remainder when (18\/x)\/(4\/30) is divided by m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m - 5. Let t = 33 - 24. Does 29 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/9100192 and 41\/4550096?\nAnswer: 9100192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*b + 203*b = -164*b + 12144 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 + 6 = -4*j, -4*p = j - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 558.03609ns?\nAnswer: 0.000000000155010025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1603 + 1175115?\nAnswer: 1173312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 413*t**3 + 4*t**2 - 6*t + 6. Let q be b(2). Suppose 2*g - 2277 - 1017 = -2*x, -2*g + q = -3*x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*p**4 + p**3 - 3\/4 - p + 1\/2*p**2.\nAnswer: (p - 1)*(p + 1)**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 39. Which is the smallest value? (a) -2 (b) w (c) -1\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*o - 782*o + 275*o - 821*o)*(-4*o + o + 4*o).\nAnswer: -1231*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/3 - 12*f**2 + 16*f. What is the units digit of x(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60967697*a**5 - 103004384*a wrt a?\nAnswer: -1219353940*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/75 (c) -0.3 (d) -5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 - 239*z - 64. Let d(s) = 4*s**2 + 159*s + 45. Calculate -5*b(u) - 7*d(u).\nAnswer: 2*u**2 + 82*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 81. Solve -5*q = -l - 0*l + 7, i = 5*q + 2*l + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 20112122?\nAnswer: -20112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 857179 and 55739802.\nAnswer: 2062372674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-388)\/80)\/((-1)\/4). Let s = h + -373\/20. Let q be 1\/4 + (-22)\/(-8). Which is the nearest to 0? (a) -1\/4 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 - 27*u - 5597. Let v(x) = -12*x - 3. Calculate f(v(b)).\nAnswer: -432*b**2 + 108*b - 5543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -d - 3*c, -5*c - 8 = -d - 7*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.130240423 * 4\nAnswer: -0.520961692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -229c (base 15) in base 11?\nAnswer: -557a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/8 - 5\/8. Let k = -168572 - -26297137\/156. Let i = -3\/52 + k. Which is the closest to i? (a) -2\/3 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(-2 + (-2)\/(-6)). Suppose 1 = -2*u - 19. Let o = n + u. Solve -s + 17 = o*g, s + 0 = 2*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -139. Suppose 2*r = -w + 7, h*w = -2*r + 28 + 7. Solve -3*q + 10 = -4*j - w, 2*j + 9 = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1947*k**6 + 41*k**5 + 5*k**3 - 84848492*k**2.\nAnswer: -233640*k**3 + 2460*k**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 26 = -4. Let g(s) = -8*s - 5. Let z(i) = -17*i - 11. Determine k*z(d) - 13*g(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r - 70*r = 35 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.7609mg in grams?\nAnswer: 0.2227609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*b + 430, r + 365 = 5*b - b. Is -2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 4*t + 68 = 8*t + 2*z. What is the remainder when 1 - -26 - 4\/(-1) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s + 6. Let h(u) = 4*u - 5. Let z(g) = -5*c(g) - 6*h(g). Let w(f) be the third derivative of f**2 + 0*f**3 + 0*f - 1\/12*f**4 + 0. Give w(z(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/45*-3*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158d (base 14) in base 5?\nAnswer: -110344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1cf (base 16) to base 11\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 88 = -32. Suppose -k*l = 4*l - 18. Sort 0, l, -1, -5.\nAnswer: -5, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 10*y**2 + 7*y + 55. Calculate w(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 30 + 3 = 0. Let o be 2\/12 - s\/6. Let q(a) = 2*a**3. What is the remainder when q(o) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-8))\/(-23)*12 + (-28 - -3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.1 and 0.3.\nAnswer: 17.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/290)\/(15\/((-225)\/(-4))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17162\/9 - 1907. Let k = -47 + 48. Put y, 3\/5, 0.1, k in increasing order.\nAnswer: y, 0.1, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2 + 2)*(-1 + 5 + 0 + 3 - 3 + 1 + (2 + 0 + 0)*(2 + 0 - 4) + 0 - 2 + 3) as n + d*u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -6*l**5\/11 - 8*l**4\/11 + 2*l**3 + 32*l**2\/11 + 8*l\/11 = 0.\nAnswer: -2, -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddadadd. What is prob of sequence ddd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402 + 405. Suppose -5*g = -4*o + 8, -o - 2*g - 1 = -u. Solve 2*i - 2 = -4*p, -o*p + 5*i - 13 = 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-4 - (1 - -2)) + (-31 - -17 - -25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 = 2*g, 0 = 5*o + 3*g + 41. Let r(q) = q**2 + 10*q + 30. Let w be r(o). Let k(p) = -p + 10. Let h be k(w). Solve 2*l - l = h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 at most -284543\/611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -3\/2, 6\/17, -8?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -96, -157, -228, -303?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 8*g + 5*m = 18265, -2*g - m = -18261. Round g to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 219 + 67. Let y be (-2)\/(-19) + 2\/(p\/980). Solve -3*r + y = 3*c + 2*c, -5*r = -5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqynynyyyiyi. Give prob of picking 1 q and 1 y.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51901333 smaller than 363309341\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -26, 21230 in decreasing order.\nAnswer: 21230, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -87\/5, -1.2, 4, -0.4, 0.2, 2 in ascending order.\nAnswer: -87\/5, -1.2, -0.4, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(3\/38)*o**(-4\/7)*o*o**4 assuming o is positive.\nAnswer: o**(568\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18211 + 18213. Let -2\/3*v - 2\/3*v**3 + 0 + 4\/3*v**s = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + -175. Let g = -10934\/45 - m. Find the common denominator of 8\/15 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13073410387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16215 divided by -15\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 2*c - 2*c - 3*c**3 + c**4 - 2*c to s*c + j*c**2 + z + h*c**4 + x*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - v - 53 = 0, 4*q + 3*v + 13 = -36. Let s be (-48)\/(-64) - (-154)\/8. Let p be (-1 + 25\/s)*1. Which is the smallest value? (a) q (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from jjyjnijijxjiijiixn.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32228148484*c**3\/5 + 870158931936*c**2\/5 - 5816511*c + 243\/5.\nAnswer: (c + 27)*(179522*c - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(-4 + (-20)\/(-4)). Suppose 4*z = -4*y - 0 + 4, y - s = -5*z. Suppose p - 48 = z. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*c - 266000 = -73*c. Calculate the greatest common factor of c and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**2\/2 + 14*p - 1. Let b = 1012 + -985. What is the remainder when b is divided by r(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51594\/5 or 10319?\nAnswer: 10319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (-1*sqrt(396) - sqrt(396)) + 1).\nAnswer: -60*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/6 - o**2\/2 - o. Let w be (198\/(-36) + 7)\/(6\/(-8)). Let a(p) = -2*p + 4*p**2 - 6*p**2 + p**2. What is w*t(d) + a(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*-4*(-9)\/6. Suppose -2 = -2*k, 3*o + k = w*o - 197. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 9*g + 363. Let p = 1013 + -991. What is the remainder when l(p) is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61928\/5 or -12387?\nAnswer: -61928\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25300529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:55 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -6, 1, 0.9, 12\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjii when four letters picked without replacement from iviiivjijiiii?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152442, 171479, 190518, 209559, 228602, 247647?\nAnswer: 266694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 - 2*t - 7. Let k be (-2)\/7 + 38\/(-14). Let a = 9 + k. Is i(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 130. Suppose -4*m = -5*m. Which is the closest to m? (a) -1 (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615 divided by -563.\nAnswer: 615\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -27 + (13 - (6 - 8)) + -31?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105116 < 1105116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*18468.\nAnswer: -9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 2, l: 3, v: 3, k: 3, g: 4}. Give prob of sequence wlv.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from {z: 2, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*z + k, 21*z - 6 = 23*z + 2*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 20517*y + 41021. Give k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -497947114 divided by 10094?\nAnswer: -49331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 8) to base 4.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 153. What is the third derivative of 7*g**2 - o*g**2 - 2*g**4 - 6*g**5 + 12*g**5 + 10*g**5 wrt g?\nAnswer: 960*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(38) + (sqrt(114)\/sqrt(3)*6 - sqrt(38)))*-1)\/(sqrt(18)\/(((sqrt(9) + sqrt(144))*-5 - sqrt(9)) + sqrt(9))))**2.\nAnswer: 427500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 36, -14, -64, -114, -164?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 2*b)*(15 - 6 + 123 + 217)*(0 + 3 + 1).\nAnswer: -2792*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - 2*r - 2. Let p be y(-3). Let w(q) = q**2 + 3*q**2 + 0*q**3 - 2*q**2 + 2*q**3 - 2*q - 3. Calculate w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, m: 1, k: 9, z: 7, s: 2}. Give prob of sequence kzkk.\nAnswer: 49\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0.1. Let g = h + 2.9. Let n = 0.2 + -0.4. What is the second biggest value in -4\/5, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2188358 is divided by 467?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 1055*v - 1060 = 0. What is v?\nAnswer: -212, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 12*z. Let b(o) = -9*o**2 - 25*o. Let d = -25 - -30. Let h(y) = d*w(y) - 2*b(y). What is the second derivative of h(x) wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -28, -62, -108, -166, -236?\n\"Answer: -6*r**2 - 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:22 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 4, -4934 in ascending order.\nAnswer: -4934, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 17.4. What is the third biggest value in c, -3, -6, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12480 (base 9) in base 3?\nAnswer: 102112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6996 + 6994.1. Which is the closest to -1? (a) -10 (b) y (c) -1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 7. Let r be v(-7). Let d be r\/(1 - (2 + 0)). Suppose -2*l + 2*b + 14 = 0, 0*b + 2 = 2*l + 2*b. Sort l, d, -5 in ascending order.\nAnswer: -5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 - 2*j + 0*j**2 + 0*j**3 - 1\/12*j**4. Calculate r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367523088 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 4. Let g(h) = h**3 + 7*h**2 + 5*h - 3. Let l be g(-6). Let t be o(l). Calculate the greatest common factor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 + -1 - (1 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100\/14 + (-1 + -2)*1800\/675\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14254.9992744 - 14255. What is h rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48882*r**3 - 24436*r**3 + 2*r - 4*r + 2*r - 24362*r**3.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -91?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:00 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -158*c + 921 + 160*c - 901 - c**2. Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/13 and -19\/1470.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6757 (base 8) in base 2?\nAnswer: -110111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from deeegdgddgdde.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332 = 634*z - 412*z. Solve -4*k + 2\/3*k**2 + z = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*p**5 + 217\/6*p + 29\/3*p**4 + 9 + 164\/3*p**2 + 37*p**3 = 0. Calculate p.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 - k**2\/2 + 7*k. Let x(t) = 5*t + 3. Calculate 4*c(z) + x(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 6. Suppose 2*m + 8 = g*c, -5*c + 5*m + 35 = 6*m. Calculate the remainder when 17 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-23)*y**(-36)*y**(-39) assuming y is positive.\nAnswer: y**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 17*n**2 + 4*n - 5. Let b(v) = v**3 + 25*v**2 - 6*v + 7. Determine 5*b(d) + 7*z(d).\nAnswer: -2*d**3 + 6*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -451 (c) 2\/3 (d) 1636 (e) -2\/3 (f) 0 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51607291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(33\/110)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (68 + -46 - 39).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 72407300 to the nearest one million.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -39.9632. Let x = d + -0.04. Round x to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76167 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2816 + 2.367. Round u to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/87880 and 143\/90.\nAnswer: 790920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4902 + 8871. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*w**4 + 111*b**2*w**3 - 88*b**2*w**2 - 2*b**2 - 9*w**4 - 6*w wrt w?\nAnswer: 24*b**2*w + 666*b**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)*2 + sqrt(119))*1 - sqrt(119)) + 5*sqrt(119)*1)\/(sqrt(77)\/(sqrt(99) + sqrt(11)) - (sqrt(112) + sqrt(112) + sqrt(112)*2 + sqrt(112))).\nAnswer: -28*sqrt(17)\/79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**2 + 52*o**2 + 4*o**2 + 52*o**2)*(-2*o + 2*o**2 + 2*o).\nAnswer: 234*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b - 5 - 22 - 22 + 8 - b**2. Is h(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 0. Which is greater: -9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3909, -3985, -4061?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -1 in increasing order.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - 2*c - c + c + c + (-3 + 4 + 1)*(0*c + 2*c + 0*c) + 0*c + c - 4*c + (0*c - c - c)*(5 - 1 - 5) + 0*c + 2*c + 3*c in the form w + q*c and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94536 and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-148)\/259)\/(1\/(-7)). Suppose 0 = -4*m + 3*f - 6 - 0, 2*m = 2*f - b. Solve 4*a + 6 = 2*v - m*a, 0 = 2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.053 - -0.047. Let y = 0.25 + -0.05. Sort y, 1, l, 0.4.\nAnswer: l, y, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4 = -10. Let k be (-3 - 0) + (q - -1)*-1. Let f(a) = a**3 + 5*a**2 - 6*a + 2. Let v be f(k). Solve 0 = 2*g + 4*t + 14, -4*t - 2 - v = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let x(u) = -2*u**2 - 4078*u + 2. Give x(b(s)).\nAnswer: -8*s**4 - 8156*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-5) - (-1)\/5. Let s = -5 + m. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -24. Let b = 10 - o. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11231, 22458, 33685, 44912, 56139, 67366?\n\"Answer: 11227*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-10))\/((-48)\/(-40)). Let z = -0.02 + -0.98. Which is the nearest to z? (a) -4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1552 or 1832?\nAnswer: 1552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312 and 102747.\nAnswer: -32057064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/157021 and -143\/5106.\nAnswer: 34858662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.43 + -22.43. Let z be (-2)\/(-5) - 99\/(-15). Which is the second smallest value? (a) z (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 2. Let j(m) = -6*m + 3. Let g(a) = -5*j(a) + 7*t(a). Let b be g(-3). Let i = 9 + b. Solve i*h - 2 + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 86, 80, 70, 56, 38, 16?\n\"Answer: -2*y**2 + 4*y + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -42*m + 226. What is a(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-10))\/(49049\/(-110110))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 291. Let n = -2.19 + -0.81. Let g = 3 - 7. What is the nearest to -1 in k, g, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*g = 20, -5*w + 0*g - g = 10. Let m(h) = -128*h - 1. Is m(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Factor -9*r**2 + 9 + 4*r**2 + 6*r + i*r**2.\nAnswer: -3*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 32480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -30.9. What is the closest to n in -2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-20) - 2\/(-10). Suppose 3*u - o*f - 33 = 0, f = -3*f - 12. Let m(w) = -2*w + 2. What is the smallest common multiple of m(-3) and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Suppose k = -4*d - 48 + 272. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + 10.9. Let l = -15 + z. Let q = 3 + l. Which is the biggest value? (a) 1 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -4*p, 4*p - 4*j - 14 = 2*p. Let q = 5 - p. Suppose -3*v - 2*a = 2*a - 26, 10 = 3*v - 4*a. Solve q*m + m = -v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y**2 + 8*y - 3. Let h be d(9). Which is smaller: h or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 1, -4*k = 5*x - 2 - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993711.\nAnswer: 3, 139, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -204268 less than -205108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 22*s**2 - 456*s + 38. Calculate f(13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317992 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508776 and 254388?\nAnswer: 508776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630422*t + 630372*t + 1900 = 0 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/r**(2\/5))\/r*r)\/r*r)\/(r**6\/r))**(-50) assuming r is positive.\nAnswer: r**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 - 1. Let m(v) = 594*v**3 + 3*v**2 + 3. What is -m(u) - 3*q(u)?\nAnswer: -591*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*h**3*o + 734*h**3 + 154*h**2 + 553858*h + 85*o wrt h.\nAnswer: -534*h*o + 4404*h + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 618 and 187430336.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0818 * -17.\nAnswer: -1.3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5286222 and 1971.\nAnswer: 5286222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**2 + 169 - 70*f**2 + 31*f**2 + 19*f**2.\nAnswer: -2*f**2 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482, 492, 506, 524, 546?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unirjriu. Give prob of sequence jiu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 528*i**3 - 1051*i**3 - 8*i**2 - 3 - i**4 + 532*i**3 as s + o*i + h*i**3 + j*i**2 + r*i**4 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1107937 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1084 and 321677.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 12*y**2 + 12*y - 3. Let v be l(11). Let s(g) = -g**2 + 6*g + 8. Let m be s(v). Let t = m - -16. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) 0.02 (d) -0.2 (e) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -24. Let c = -2636 + 2647. Suppose -c*q = -u*q - 297000. Round q to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1309*-0.5\nAnswer: 654.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + h)*(h**2 - 35*h**4 - h**2).\nAnswer: -35*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 7*f - 5. Let q be h(-8). Suppose -4*c + 101 = -q*d, 0 + 2 = c. Let w = -20 - d. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/51)*i*i\/(i*i**(-4)) assuming i is positive.\nAnswer: i**(257\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2098 - 1477. What is the highest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-2)\/(2\/29). Does 15 divide 5 - 3 - (w - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34047526.6 less than 197?\nAnswer: 34047723.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3 + 703*g**2 - 54660*g.\nAnswer: 18*g + 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14131 (base 5) in base 7?\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 5. Determine w(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izkt when four letters picked without replacement from {t: 2, p: 3, i: 6, u: 2, k: 1, z: 4}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*a + 6. Let q(o) be the third derivative of 1\/30*o**5 + 1\/24*o**4 - 2*o**2 + 0 + 0*o - 1\/3*o**3 + 1\/60*o**6. Calculate q(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 26*m - 183. Let j be z(9). Suppose -11*p - 6*p = -j. Which is the second biggest value? (a) 1\/2 (b) 15 (c) 1\/4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009573521132 rounded to 5 decimal places?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4430*c**2*f**2 + 4*c**2*f - 2*c**2 + 2*c*f**2 + 2*c*f - 2*c - 8082*f**2 + 686*f + 1 wrt f?\nAnswer: 8860*c**2 + 4*c - 16164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*q = -2*p - 92, -p - 28*p = 68*q - 67*q + 23 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 14 = 0. Let y be 52\/j + 4\/14. Let g(q) = 0 - 395*q**2 + 3*q + 394*q**2 - 2*q + 5. Determine g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1035190 - -1474443. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 36626 - 36530. Let h = -633 + 1915\/3. Let 26\/3*n + 2\/3*n**3 - h*n**2 - i = 0. What is n?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00279397067 to 5 dps.\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 - 2*u**2 + 555 - 553. Let i = 4 + 2. Suppose -i*w + w = 2*j + 21, 21 = 3*j - 3*w. Let c(m) = 21*m**2 + 11. Give j*c(p) - 11*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1505 and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 41731*i**2 - 41731*i**2 + 1 - 5*i**3 + 44*i in the form k + r*i + p*i**4 + u*i**3 + l*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 18404 in descending order.\nAnswer: 18404, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294838465.\nAnswer: 5, 58967693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/115 (b) -0.5 (c) -4 (d) -2 (e) 5 (f) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -2*o**5\/5 + o**4\/2 + 2*o**3 - o**2 - 4*o + 7. Determine x, given that i(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 27199848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-157*m + 60*m - 19*m) + 4*m - m - 5*m - 23*m - 27*m + 45*m - 4 in the form k*m + o and give k.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a - 5*a)*(173*a - 397*a + 74*a) in the form i + h*a + s*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11970 and 22876?\nAnswer: 1029420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 6*f + 42. Let k be 36\/30*(2 - 20\/(-15)). Let l be g(k). Solve -m = 4*u + l, 0 = 4*u - m + 3 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 8, 26*a - 115473 = -5*o + 24*a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Suppose 70 = 10*k + 40. Suppose -3*h = 12, -2*q - h + k = 13. Which is the third smallest value? (a) -2\/3 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 41*b - 54*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 295111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*d - 11 = 23, -2*y = -3*d - 21. Let b be ((-6)\/(-2) - y) + -27. Is -27 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = -4*p - 20*w - 12, 0 = -3*w - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbrsssbsr. Give prob of picking 2 s and 1 r.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 2*l**2 - 5*l - 6*l**2 + 3*l to o + w*l**2 + i*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60) + 0)*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 3186\/(-162))*-4*3 + 20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3220*o**2 + 96*o - 16 = 0. What is o?\nAnswer: -2\/23, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*r + 14, 4*r - 3*n + 0*n = 2. Suppose r*j = -j + 9. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*s - 4*s + 41, j + 3*s = 32. Suppose -3*a - 20 = -5*a + 5*f, -f + j = a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (135\/12)\/((-2120)\/(-96) + -22). Calculate the greatest common divisor of 15984 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -13 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -8*m**4\/7 + 496*m**3\/7 + 375*m**2\/7 + 94*m\/7 + 2942. Let k(z) = 0. What is z?\nAnswer: -1\/4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let f be (-54)\/8 - (143\/44 + -3). Let c be (-2)\/77*f\/5. Which is greater: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2961036*x**2 - 137013*x - 6?\nAnswer: -5922072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1456 + 604.098.\nAnswer: 2060.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59767881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, 0.1, -5\/9, 3 in decreasing order.\nAnswer: 3, 0.3, 0.1, -0.5, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + s**2 + s**2)*(-904 + 904 - 154*s)*(3*s**2 - 4*s**2 - 2*s**2).\nAnswer: -924*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 224*v - 231*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 40 = 5*c, -3*c - 14*i - 24 = -13*i. What is the closest to -1 in 5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1672 and 23\/34848.\nAnswer: 662112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.117 + 0.117. Let x(f) = f**3 + 7*f**2 + 4*f - 7. Let l be x(-6). Suppose l*q - 6 = 11*q. What is the closest to 0.4 in q, r, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Find y, given that -3 - q*y - 7*y + y - 3 - 3*y**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314016 and 1728?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10*n - 3*c = 6, -1155*n + c = -1151*n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30555 and 3?\nAnswer: 30555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -13*f - 324. What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -5 (b) 144 (c) 1\/6 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*o, -o = 5*s - 7*s. Solve -t = -o*t + 5*b + 3, -2*t + b = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2738 and 592.\nAnswer: 21904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2403 divided by -2403\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 126. What is the remainder when x(21) is divided by 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -531 + 559. Suppose -t = -4*m - 38 + 6, 0 = -t - 3*m + 25. Calculate the highest common divisor of k and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125532.2 to the nearest 100.\nAnswer: 125500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/10, 2, -6\/2099 in increasing order.\nAnswer: -5, -1\/10, -6\/2099, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/2)\/2 + -3. Suppose -f + 2 = n. Let i(a) = 2*a**2. List the prime factors of i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450)*-4)\/(sqrt(36)*-6 - (sqrt(45)*-1)\/sqrt(5)))**2.\nAnswer: 800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c**2 - 20*c. Let p be s(0). Determine v, given that -10*v**2 - 15*v + 5\/4*v**4 + 5\/4*v**3 + p = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 27*z - 10*z**2 + 66*z + 48*z + 0*z**2 + 12*z**2 + 1 to the form i*z + j + c*z**2 + b*z**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 74*j + 65*j + 51 - 3*j**2 = 0. What is j?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -929 - -4636\/5. Let z be 48\/165 + 1 + -3. Let r = z - s. Which is the biggest value? (a) 2 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - 3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2417 - -2542. Solve -110 = -5*c - n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(90)\/(sqrt(27)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/155430 and -133\/4334770?\nAnswer: 39012930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.032 + -0.2. Round p to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 3, q: 4, f: 2, v: 2, r: 1}. What is prob of sequence mvr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -22*h + 305, -2295*r + 2292*r + 65 = 4*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 151, 392197 in descending order.\nAnswer: 392197, 151, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -22*t**3 + 19*t**2. Let k(y) = 7*y**3 - 6*y**2. Suppose 0 = -2*f - 33*a + 37*a - 10, -3*a = -3*f - 18. What is f*k(o) - 2*r(o)?\nAnswer: -5*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -5. Let q = -10\/3 - p. Which is the smallest value? (a) q (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n - 1. Let j(p) = 5*p**2 + 7*p + 6. Let w(y) = -j(y) - 6*q(y). Let a be w(3). Let 8*u - 4*u + 3*u**2 - a + 0*u - u = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*p + 1 + 1, 0 = -5*s + 4*p - 4. Let d = 15 - 9. Solve 3*i = -s*i + d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/103 in -7\/4, -15, 58?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 14*w**2 + 7 - 1)*(3*w - 3*w - 4*w**2) as j*w + z*w**2 + u + n*w**4 + l*w**3 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -383*j**2 + 5*j - 2. Let m(t) = t. Determine c(m(p)).\nAnswer: -383*p**2 + 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79399 or -0.0086?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65981323 - -4.\nAnswer: -65981319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 13*s + 19. Let d be p(8). Let g = 4 + d. Let c = g - -35. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w**3 + 40*w**3 + 43*w**3.\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 43096*s + 2. Calculate c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-14) + 10\/35. Solve 3*y + s + 1 = 0, 8 = -0*y + c*y + 5*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73105007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:22 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by -23107?\nAnswer: 29\/3301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959879379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 = 3*c + 5*r, 4*r + 14 = -2*c. Let p = -17 + 18.4. Let u = p - 1.6. What is the biggest value in u, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**2 + 2*h - 18. Let y(o) = 9*o**2 - 2*o + 39. Calculate 13*j(f) + 6*y(f).\nAnswer: -11*f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:53 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2573.833 minutes to milliseconds.\nAnswer: 154429980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(128) + 4 + sqrt(128)) + 5)**2.\nAnswer: 20352*sqrt(2) + 76537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 1. Let f = s - 0. Let z = -76\/123 - 2\/41. Which is the closest to z? (a) 4 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - 127. Let k = t - -79. Is (k\/(-2) - 2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6323, 6324, 6325, 6326, 6327?\nAnswer: 6328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4070*x**2 - 4194*x**2 - 887*x**2 - 4848*x**2.\nAnswer: -13999*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77, -805, -2491, -5519, -10273, -17137, -26495, -38731?\n\"Answer: -64*c**3 - 95*c**2 + 5*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + m - 1)*(-2*m + m + 13 + 2*m) in the form r*m + a + u*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2, 0.3, 5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v + 3. Let k be x(-3). Let d = k + -39. Suppose 48*g**2 + 64*g**d - 247*g + 56*g**5 - 348*g**4 + 121*g + 126*g = 0. Calculate g.\nAnswer: -2\/7, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12800 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 208 + 256 = 0. Let l(n) = -n**2 - 6*n - 1. Let p be l(-6). Let g(j) = j + 1. Let k(b) = -7*b - 4. Calculate p*k(f) + v*g(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.034 (b) 5\/4 (c) -2\/9 (d) 16 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/5)*t)\/(t*(t**(-3\/2)*t*t)\/t))\/(t\/t**(1\/3)*t\/(t\/(t*t**10*t))))**(-44))**34 assuming t is positive.\nAnswer: t**(246092\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -12851\/1042?\nAnswer: -12851\/1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/25056 and 161\/250560.\nAnswer: 250560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26647 or 26646?\nAnswer: 26646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z + 7*z - 5 + 2 + 12*z. Let r be j(1). What is the highest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let y be t(-2). Let s(f) = -f**3 + 2*f + 2. Let j be s(y). Let i be 20\/10*j\/2. Solve -4*x - 28 = -i*a + 2*a, -4*x = 5*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - 13*z - 14. Let t be l(-5). Let f(i) = -1 - 3*i**2 + i + i - 8*i**2. Determine f(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2676 = -34*b - 138*b + 2140 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20314512 and 5642920.\nAnswer: 101572560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**6\/360 - 13*y**3\/3 - 9. Let i(o) be the third derivative of f(o). Let q(k) = -25*k**2. Determine q(i(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 6*x + 4*x)*(3*x**3 + 2*x**3 - 6*x**3) in the form w*x**3 + i*x + d*x**2 + p*x**4 + b and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -206?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 5*m**4\/12 + 55*m**3\/3 - 120*m**2 + 408*m. Solve f(x) = 0 for x.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 217 = -162. What is the remainder when c\/2 + (-33)\/(-22) is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - 71 - (260 + -220)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 7*p + 816 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 27 = 4*p + 54, -4*p - 3*f - 79 = 0. Let d = p + 59\/3. What is the common denominator of ((-1)\/(-40)*6)\/(48\/(-2144)) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - 1) + (292500\/(-504))\/(-65). Let g = 8 + -6. What is the third smallest value in f, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxwxwdddwxwwwj. What is prob of picking 3 d and 1 x?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -7*m**6\/60 + m**4\/24 + 7*m**2. Determine z(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*j - 34 = -4*j, -j = -1. Let x = l - 8. Let t = 122\/3 + -40. Sort x, -0.2, t in decreasing order.\nAnswer: t, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f - 3*f)*(2 + 1 - 2)*(-17*f**2 - 12*f**2 + 157*f**2).\nAnswer: 128*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g. Suppose g = 4*v + 16, 0*v = -5*h - 2*v - 18. Let i = 9 - h. What is i rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 7*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 1 - (-2 - ((45 - 25) + -17)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 919*g**3 - 160000 - 168000*g + 2461*g**3 + 52*g**4 - 4400*g**2 + 0*g**5 - 268*g**4 + 4*g**5 = 0. What is g?\nAnswer: -5, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose 0 = -3*w + 4*g + 58, -3*g + 1 = k. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 129*x - 28. Let z(o) = 64*o - 11. Determine -2*m(w) + 5*z(w).\nAnswer: 62*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*y. Let v(r) be the second derivative of 1\/3*r**3 + 0*r**2 + 0 + 0*r**y - r - 1\/10*r**5. What is the second derivative of v(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -201. Suppose -r = 5*m - 14. Let u = m + 21. Solve u*q = -5*b - 35, 4*b + 10 + 16 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 75, 280, 713, 1458, 2599, 4220?\nAnswer: 6405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3148 in 11\/8, -1\/4, 3, 0.5, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6592 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5039705 (base 11) to base 7\nAnswer: 135525653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -217*b + 14. Let k(x) = -3*x. Give k(g(h)).\nAnswer: 651*h - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**3 + 76*o**2 + 14*o + 33. What is the thousands digit of n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 769304*d**2 - 1538614*d + 769308.\nAnswer: 2*(d - 1)**2*(d + 384654)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, s: 1, d: 1, i: 2}. What is prob of sequence cq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32\/7, 0, -0.020216, 3 in increasing order.\nAnswer: -32\/7, -0.020216, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -159. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42052, -89, -4, 0 in descending order.\nAnswer: 0, -4, -89, -42052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1080 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1137*o + 145 - 59 - 985*o. Is 36 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85387 is divided by 85337.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a - 24. Let u be q(-4). Let k = u - -72. Suppose -6*r + 30 = -0*r. Solve k*n + r = -5*x - 9, -10 = 5*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.66 + 0.34. Let x = 0.207 + -0.077. Which is the third smallest value? (a) 2 (b) x (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let c = r + -0.09. Round c to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*p = -183*p - 21, 22055 = 3*y - 4*p. What is the highest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54292761*v**4 - 66271701*v**2 wrt v?\nAnswer: -1303026264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -35.6. What is the nearest to -1 in -3, -15, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + (12 - 19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l**(1\/34)*l)\/l*l*l**(-27))**(-2))**(45\/7))**(-4\/3) assuming l is positive.\nAnswer: l**(-48900\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1970166254109.100058 - -1970198767844.1. Let l = 32513771 - v. Let a = l + -36. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*(-960)\/5600.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/24 + 11*s**3\/6 - 4*s**2. Let w be d(9). Solve -2*j - 12*j - 5*j**3 + 5*j**3 - 4 - 10*j**3 - w*j**4 - 18*j**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 14) to base 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/d)\/d*(d*d**(-1\/5))\/d)\/((d*(d\/d**6)\/d)\/(((d*d**(-2\/25)*d*d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 487562143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740258467 a multiple of 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 238. What is f(75)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*t - 26, -2*f + 30 = -5*t - 7*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27678 and 4?\nAnswer: 55356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 18. Let z = i + -7. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-11)\/(-44)). Let h(r) = -3*r**2 + r + 4. Let x be h(2). Let y be x\/(-3) + -3 + 4. Solve -y*o + 14 = -4*i + 3, -v*o = -2*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175) + -1*sqrt(175) + 4)**2 - sqrt(175) - sqrt(175))*-6*-3.\nAnswer: 540*sqrt(7) + 3438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1848600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y - 5. Let o = -2 + 0. What is the remainder when z(o) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 - c**2 - 98*c - 98. Determine j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:04 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*l - 2, -2*l - 3*l = -5*k + 10. Which is smaller: -0.03 or k?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -6.9.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12568 - -276591\/22. Let k = -5869 + 58597\/10. Find the common denominator of k and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -214*j - 3611. Let k be t(-17). What is the smallest value in 3, k, 2\/21, -3, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 209. Let l(g) = 7*g + 1671. Let b(s) = -33*c(s) + 4*l(s). Determine b(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17405211 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 35 = 3*d. Suppose 11*z = d*z - 656. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 35719*z**2. Let t(j) = 2362*j**2. Determine l(t(a)).\nAnswer: 199277872636*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*d + 12*d - 375 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5132859*t**2 - 506923*t wrt t.\nAnswer: 10265718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 29*g - 60 = 0. Suppose 7 = r + 2. What is the lowest common multiple of (r\/2)\/((-4)\/(-16)) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-4)\/((-960)\/(-237)). Let g = 107\/2160 - h. Is -1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -310 + 315. Let j be 5\/(f - 102\/21). Sort j, -5, 3, -2.\nAnswer: -5, -2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:42 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 5488?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-275*v + 385 - 269*v + 543*v).\nAnswer: -v + 385","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2638, -3190, -4058, -5242?\n\"Answer: -158*p**2 - 78*p - 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6222 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296537088?\nAnswer: 2, 280339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 * -17630.624.\nAnswer: -617.07184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (58 + -30 - 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4278973 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 11. Let r(c) = 3490*c**2 - 10. Let z be r(j). What is z rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 0*g + 2*g)*(-2*g**2 + 0*g**2 - g**2) - 4*g**3 + 18*g**3 + 5*g**3 + 3*g**3 - g**3 - g**3 + 2*g**3 - g**2 + g**2)*(-g + 2*g**2 + g).\nAnswer: 50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2490302 = -20*d - 6036438. Suppose 0 = -3*c - n + 3340009, 5*n = 2*n - 6. Let m = c + d. Round m 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 ten thousands digit of 791337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31001011 (base 4) in base 14?\nAnswer: 15605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o. Let p be 76*(0 + 2 - o). Suppose -2*g = -18 - p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394 + 394 + 116*w**3)*(6 + 0 - 19).\nAnswer: -1508*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 - 4 = 0. Suppose -i*h + 0*h + 5*j = -18, 4*h + 2*j - 4 = 0. Suppose -h*y + 162 = -676. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(1 + 4 - 6 - 6*q) as y + u*q and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 125375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2523\/8 <= -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 19*f + 17*f = -66, 5*f = 5*d + 55. Let g(t) = 11*t - 1. Let z(w) = 55*w - 5. Calculate d*g(o) + 2*z(o).\nAnswer: -11*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 87 = -4*h + 355, -2*h + m = -130. What is the remainder when h is divided by -12 + 1*174\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25778, -206158, -695752, -1649168, -3221014, -5565898, -8838428?\nAnswer: -13193212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-9)\/6 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 51. Let p(w) = -w**2 + 9*w - 18. Let t be p(c). Suppose t = 4*h - h - 120. Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12232621273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4963124641*w**2 + 4963124639*w**2 - 2*w + 2*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*x - 31 = 0, -4*x + 0*x = 2*o - 22. Let g(m) = m**2 - 5*m. Let j be g(5). Let u = 1.1 + -1. What is the closest to j in u, o, 2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) 0.1 (b) -58 (c) 2\/7 (d) -9.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*84\/294.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10763 + -10764. Which is the biggest value? (a) -5 (b) 4\/7 (c) -2\/43 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223732 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -949, -1899, -2847, -3793, -4737, -5679, -6619?\nAnswer: -7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(72) + (sqrt(72) - -3*sqrt(72)*5))*4 + -1.\nAnswer: -6 + 408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**3 + 0 + 0*q**2 - 1\/3*q**5 + 1\/9*q**4 - 2*q + 1\/10*q**6. Solve m(d) = 0 for d.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509284767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/7)\/((-12)\/(-32)). Is p at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 - 424362*q**3 - 3394802*q**2 - 7213902*q - 4243460 = 0.\nAnswer: -212173, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5*(-4)\/14.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27 - 30 - -21*(-4)\/(-26). Is -2\/7 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4293 + 4295. Solve -t*p - 3*q + 2 = -4, 3 = p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 525, 860, 1195, 1530?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/7)\/((-13)\/182). Let b = j - 19. Suppose -8 = -2*t - 2*t. Solve g = t - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 + (-1 - -2). Suppose 0 = -o*g - g + 2. Find the second derivative of -3*i**3 + 2*i - g*i + 2*i + 0*i**3 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16654634 divided by 2554.\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10990 + 120*p - 10990 to r*p + f and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*121377*8\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3011*f + 1249*f + 5 to p*f + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 4066380.\nAnswer: -1\/677730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8982 is divided by 250?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055790359 to 4 dps.\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 13, w: 3}. Give prob of sequence xwxa.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -145 - 3. Let u be 12\/16 + f\/(-4). Suppose g - 5 = s, 5*s + 0*s + 2*g = u. Let x(c) = -c - 6. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 2*g + 1. Let w be s(1). Suppose -2*h + 36 + 8 = 0. Suppose 0 = -3*x + 2*z + 16, -4*z - 2 = -2*x + h. Solve -x*u + 5 - 1 = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 3*j - 3*j + (-3 + 2 + 3)*(j**5 + 5*j**5 - 4*j**5) + (-3*j**4 + 5*j**4 - j**4)*(5*j + 0*j - 3*j) + 2*j**5 + 0*j**5 + 0*j**5.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21434132 (base 7) in base 4?\nAnswer: 13001113202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71.0049*0.2\nAnswer: 14.20098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*d = -3*d + 982, -974 = j + 3*d. Round j to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*(25\/(-60))\/(20\/72)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 42192736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -13?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4391, 4433, 4483, 4541, 4607, 4681, 4763?\n\"Answer: 4*k**2 + 30*k + 4357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r**3 - 5*r**2 - 10. Let d(l) = 18*l**3 + 7*l**2 + 15. Let b(n) = 5*d(n) + 7*i(n). Find the first derivative of b(q) wrt q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 16 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-37)\/(a**(-1))**(12\/13))**(-10\/11) assuming a is positive.\nAnswer: a**(-4930\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2592 + 11919. Let c(m) = -m**3 - 5*m**2 - m. Let j be c(-5). Suppose j*p = -a - 1091. Round p to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - 75. Calculate the remainder when n is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 8*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*w - 12*w + 150 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(468) + -3)**2 - 3*-3*sqrt(1573)) + -5.\nAnswer: 15*sqrt(13) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (-2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmmmmqgqqppmlmvpp. Give prob of sequence vl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47013019*z**6 + 331*z**2 - 3*z - 4828 wrt z.\nAnswer: -5641562280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 38*r - 9. Let n be ((7 - 3)\/4 - r) + 1. Solve -5*a - 4*v = -4, -4 - n = 4*a - 5*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 86, 206, 380?\n\"Answer: 27*k**2 - 15*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -34, 4319, -11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2903\/3 + 968. Factor 0*q**2 - 2\/3*q**3 + 0*q**4 + 0 + f*q**5 + 1\/3*q.\nAnswer: q*(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7787451ug to nanograms.\nAnswer: 778.7451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 93. Suppose -5*j + 2 = 3*k - 0, -21 = -4*k - 3*j. Suppose -4*a = -k*a + 5. Calculate the remainder when f is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.2*6583\nAnswer: 126393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from weenbeiei.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -855 - -852. Suppose -14 - 10 = q. Let z = o - q. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s. Let w(v) = v**2 - 52581*v. What is z(w(j))?\nAnswer: -10*j**2 + 525810*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38232 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 5*b + 35. Let n be h(-3). Suppose -4*u - 5 = -l, n*u - 25 = -24*l + 19*l. Solve 18 = l*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:44 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032700 and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 19328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*t - 302*t = 134. Solve t*w + 672 = 678 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m - 15. Let w = m + 2. What is the nearest to 1\/2 in 5, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**5\/20 - 2*p**4 - 32*p**3 - 17*p**2\/2 - 2. Let r(y) be the second derivative of n(y). Find x, given that r(x) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 2. Suppose 2*p + 2*p - 4 = 0. Let q be (p\/(-2))\/(20\/16). Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 478233076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 11*y**2 + 2*y + 8. Let j be z(11). Let w be ((-40)\/(-5))\/(j\/(-9) - -4). Which is greater: w or 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 8*x**2 - 7*x + 4. Suppose -i - 2*u + 15 = 2*u, -2*u = -2*i + 10. Let t be n(i). Solve 0 = t*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(68))**2.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45300 rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 1664?\nAnswer: -1663.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 45 = 13*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6490.8 and -0.3.\nAnswer: 1947.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k - 4 + 10*k**2 - 17*k - 14*k + 39*k - 10*k**3. Let c(i) = -i**2 + i. Let p(s) = 6*c(s) + l(s). What is the derivative of p(w) wrt w?\nAnswer: -30*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h**2 + 264*h + 8. Determine w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207997318 is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437673771.\nAnswer: 3, 29, 1676911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(75) - (1 + sqrt(75) + -3))**2 + (-3*sqrt(75)*1 + 0)**2.\nAnswer: -30*sqrt(3) + 1351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25853*h**2 + 25047*h**2 - 4138*h**2 - 3648*h**2.\nAnswer: 43114*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.987 take away 101962?\nAnswer: -101853.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239*-14425.9.\nAnswer: 3447790.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -1234961.\nAnswer: -1234961.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 1035*f**3 + 60400*f**2 - 675840*f - 737280.\nAnswer: 5*(f - 96)**2*(f - 16)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*d**2 - 541*d**2 + 195*d**2 + 182*d**2 - 2*d**3.\nAnswer: -2*d**3 + 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 3*c + 2. Calculate the remainder when d(3) is divided by (168\/(-9))\/4*48\/(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 7*s**2 + s - 7. Let a be b(7). Suppose 2*v - 2*o - 16 = 0, 4*v + a*v - 31 = 3*o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 5. Let w(s) = -2*s**2 + 3*s + 4 + 11 - s**2. Let c(a) = a**3 - 6*a**2 + a - 3. Let h be c(6). Let v(p) = h*w(p) + 8*m(p). Determine v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1506*r - 1163. Let i be o(-3). Is i greater than or equal to -5682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 14. Let h be n(5). Solve 3*j - 11 = y, -2*y = h*j - 0*y - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvzzzzzvvvv. What is prob of picking 4 z?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**5 - 195*f**4 - 2*f**3 + 531*f**2 + 4.\nAnswer: 300*f**2 - 4680*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 731*r - 2219. What is j(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 + j + 1. Let x be y(-1). Let c(t) = -t + 8. Let r be c(5). Suppose -6 = -r*q + q. Put x, q, 13 in descending order.\nAnswer: 13, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*m**2 + 156*f**2*m + 22*f**2 - 25*f*m - 206 with respect to m.\nAnswer: -2*f**2*m + 156*f**2 - 25*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 5*u + 2. Calculate the remainder when s(4) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 313. Calculate the remainder when 76 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1010252 or -1010253?\nAnswer: -1010252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 24 - 18 - -25.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 14. Let b(a) = -a + 5. What is 11*b(x) - 4*q(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 + 1380000*j - 129684656 = 0.\nAnswer: 94, 344906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2968351033 - 8.\nAnswer: -7.7031648967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 + 6)*(22*g**3 + 13*g**3 + 48*g**3).\nAnswer: 1411*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -1. Let m be 6\/c + 422414\/87. Round m to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/17 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203423*f**3 - 110*f**2 + 350*f.\nAnswer: 1220538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let i = n + -5.7. Put i, 1, 1\/3 in increasing order.\nAnswer: i, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -37\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 28*p + p**2 - 26*p + 49*p.\nAnswer: (p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 23249 = 312*g - 28255. Calculate the remainder when 18349 is divided by g.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4935.69.\nAnswer: 1974.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d + 8. Calculate u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045263729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932328?\nAnswer: 2, 3, 163847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 31 = d + 3, -b + 3*d = -22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose 3*o + 60 = -t*o. Let n = o - -19. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(216\/42 + -5). Let t(g) be the third derivative of 0*g**4 + 0*g**5 - 6*g**p - 1\/12*g**6 + 3\/2*g**3 + 0 + 0*g. What is the derivative of t(n) wrt n?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -272*n**3\/3 + 404*n. Let s(f) = -5*f**2. Determine w(s(l)).\nAnswer: 2720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31212 + -12772. List the prime factors of u.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208354.\nAnswer: 2, 19, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -76, -82, -104, -148?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + -10)\/((-1)\/(-1)). Suppose j = 4*l - v - 30, v = -v + 4. Does 24 divide l\/12 - 480\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6090 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 992.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 38\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(253\/69)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30545 (base 7) in base 10?\nAnswer: 7481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + q + 1. Let b(f) = 5*f**3 + 15*f**2 + 15*f - 4. Let k(h) = -b(h) + 6*c(h). Let n(a) = -a**2 - a + 1. What is 2*k(s) - 18*n(s)?\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + (-2 - -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -34, -13, 26, 89?\n\"Answer: k**3 + 2*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/3 (c) -3\/7 (d) 2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18490 and 502885?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1630 + 5511*g + 1632 - 4888 + 1626 to the form q + w*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awuu when four letters picked without replacement from {u: 2, a: 1, w: 1, h: 1, l: 1, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -21210?\nAnswer: 21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 - m**4 - m**3)*(1 - 1 + 1) - 1 - 2*m**4 - 25*m**2 - 3*m + 10*m**2 + 11*m**2 in the form v + z*m**4 + u*m**2 + t*m**3 + l*m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*v - 2965438, 29*w + 5*v = 25*w + 2965434. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from xaxbxkbpaexexbexax.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.159, 0.5, 1155, 132?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - -72b6?\nAnswer: 7294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66547 + 1576?\nAnswer: 68234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -51. Let s(f) = 4*f**2. Let n be s(-1). Sort n, -2, c in decreasing order.\nAnswer: n, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74413\/90 + 4121\/5. Let c be -2 - ((0 - -1) + 1). Find the common denominator of (c\/(-6))\/((-12)\/171) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671622098 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30\/7 (b) 4 (c) -112 (d) 1.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3959 - 1966. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 141 = -39*v. Put 1, v, 3, -2 in increasing order.\nAnswer: v, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 33*c**2 + 33*c**2 + 6 + c to the form p*c**4 + d*c + o*c**2 + l*c**3 + s and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2 - 2. What are the prime factors of d*1 - (4 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocxoxxuoouq. What is prob of sequence qox?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-212)\/(-6) - (-4)\/6. Let p be -3*-8*(-5)\/(-30). Suppose -3*c = 5*r - 32, -c - 4*r + o = p*c. Solve -i = 5*m + 7, 6*i = -c*m + i - 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 567bf - 5?\nAnswer: 567ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - y**2\/2 + 8*y. Let p(h) be the third derivative of -2*h**5\/15 - h**4\/12 + h**3 - 2*h**2. What is p(z) + 6*s(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)*r**(-5)\/r)**(-14\/3))**(23\/3) assuming r is positive.\nAnswer: r**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -37733\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 + 3*z**2 + 13*z - 7. Let k be p(3). Solve -k*q - 5*w - 11 = -46, -3*q = w - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4166 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11341736 and 40768.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 2 + (-80)\/((-40)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000036133 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-378) - 1\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 441*m**5 + 1899*m**3 + 19*m**2 + 2125*m + 8?\nAnswer: 26460*m**2 + 11394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.01 + 0.01. Let m = u + 0. Let b = 0 - 5. What is the biggest value in m, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-4*-1*sqrt(84) + sqrt(84))\/(sqrt(48)\/sqrt(64)) + -3.\nAnswer: -10 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose 3*h = c*h + 199. Suppose 514 = 5*j + h. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) -4\/5 (c) 5 (d) 57 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 805 divided by 1744\nAnswer: 805\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + a**2 + 1022*a - 4*a**2 - 1022*a - a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55810, -111256, -166728, -222232, -277774, -333360, -388996?\nAnswer: -444688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 1. Let l(p) = p - 1. Let j(b) = -h(b) - 3*l(b). Let s = 20 - 6. What are the prime factors of j(s)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*z + 5*z. Let s(g) = -4*g + 1. Let k(u) = -4*u + 1. Let t(w) = 6*k(w) - 5*s(w). Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6219 - 6214. Let b(d) be the second derivative of 0*d**w + 0*d**3 + 1\/240*d**6 + 6*d - 1\/96*d**4 + 0*d**2 + 0. Factor b(j).\nAnswer: j**2*(j - 1)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60880 not equal to 60954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 1200 = -6*m. Let r be (-10)\/(m\/5) + (-39)\/(-2). Solve -5*d + r = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 214\/3. What is the nearest to y in -2, -35, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 7*p**2 + 14*p - 123. What is the hundreds digit of o(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0 (c) -6 (d) 1\/133 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u + 175*u - 25 = 44 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21eb7 (base 16) to base 5.\nAnswer: 13421220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7*d + 305 = 4*b + 6*d + 6*d, -8 = b + 24*d for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 12*q - 32. Let z be i(-5). Suppose -h + 66 = 2*t + 14, z*t + 208 = 4*h. Calculate the remainder when 197 is divided by h + 2*(0 + -2)\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j - 3. What are the prime factors of t(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0.011, -0.05758 in decreasing order.\nAnswer: 21, 0.011, -0.05758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/1729 - (-14)\/133?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -210.5872.\nAnswer: 1052.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*f - 7524 = 0, -3*t - 71*f + 73*f + 5648 = 0. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91 - -427?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 37028243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -191, -223, -255, -287, -319?\n\"Answer: -32*l - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191074 (base 10) to base 4.\nAnswer: -232221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -956 + 2578. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -514, 8, -13, 0, -4 in increasing order.\nAnswer: -514, -13, -4, 0, 8, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11525 - -10865. Which is the third smallest value? (a) -3 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i - 20 = -3*h, 0 = -2*i + 10. Let v(n) = n**3 + 8*n**2 + 6*n - 4. Calculate the lowest common multiple of v(-7) and (3\/h)\/(2\/136).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*y = 20, 0 = -37*y + 38*y + 3. Solve 0 = -l*v + 4*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*f = -t - 7, 0 = -2*t + 3*f + 11. Let u(r) = r**2 - 15*r + 6. Let v be u(14). Let b be (-4)\/(-30) + v\/(-240). Is t equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + -aa644?\nAnswer: -aa669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1336*k + 208364. Determine p(156).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701551.\nAnswer: 41, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 100*i**2 - 84*i - 513. Calculate q(-34).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 96 - 4 + 66 - 3*v**2 - 9 to d*v**2 + p + w*v and give p.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - 0.52. Is 6 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 796*v**2 - 6*v + 2. Let b(r) = 170346*r**2 - 1287*r + 429. Give 6*b(p) - 1287*h(p).\nAnswer: -2376*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1076 and 5296072?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {i: 3, s: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.5. Let j = 0.786 - 0.586. What is the closest to -3 in j, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**5\/60 - 3*x**3 + 15. Let a(p) be the third derivative of h(p). Let d(w) = -6*w + 2 - 2. Determine a(d(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 4*s + 48. Let i = -157\/4 + s. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8498, -16995, -25492, -33989?\n\"Answer: -8497*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013333 (base 4) in base 10?\nAnswer: -4607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/56480 and -97\/16.\nAnswer: 56480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5428, 21825, 49186, 87511?\nAnswer: 136800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2))\/((-210)\/504). Solve p = 23*n + 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 381426*l - 1525720. Calculate h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 - 139*p**2 + 1 + 139*p**2 - 5*p**3 - 2*p to a*p**2 + m*p + c + i*p**4 + n*p**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 0 + 4*10 + -2 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 13*c - 4. What is n(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2140*j + 1115*j + 1108*j)*(-j**3 + j**2 - j**2).\nAnswer: -83*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -13)\/2*(-8)\/20. Sort k, 6, -1, -5 in ascending order.\nAnswer: -5, -1, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.0558 - -0.0558. Let q = 0.2153 + -0.0653. Which is the third biggest value? (a) -1\/8 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10806578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4555*k = 2462*k - 3228*k + 308618 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/sqrt(7))\/sqrt(3) + -1 + sqrt(17)*3 + -2.\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -41. Let f = -895\/4 + 209. Let s = 303\/20 + f. Is s not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - 3*w + (3 - 2 + 0)*(-2 + 2 + w) + 0*w - 3*w + 4*w + 0*w - w - 2*w + 3*w - 3*w + 3*w - 28*w - 16*w + 0*w)*(-w**4 + w**4 - 2*w**4).\nAnswer: 92*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2504585407\/4993308280 - -8130\/184391. Let h = r + -14\/677. Find the common denominator of h and 93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:18 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 14*z**2 - 11*z + 22. Let r be g(-13). Let u(s) = 4*s**2 + s + 1. What is the units digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 4:12 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130657507?\nAnswer: 2383, 54829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11846*k**2 - 20. Let x(l) = -29*l. Give x(w(u)).\nAnswer: -343534*u**2 + 580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) -0.5 (b) -19 (c) -1\/5 (d) -1 (e) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 0 - n + n**3 + 0 + 0*n + 2*n**4 to m + x*n**3 + s*n**4 + c*n**2 + o*n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 63*h**3 + 4*h**2 - 18*h + 57. Let v(p) = -94*p**3 - 6*p**2 + 26*p - 85. Let m(t) = 8*u(t) + 5*v(t). What is the tens digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 - j. Suppose 3*m - 4*r = -10, r - 4*r = 3*m + 3. What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113403011 (base 5) to base 7.\nAnswer: -4330556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 13*w - 18. Suppose 2*q - 2*k + 6 = 0, 3*q = -3*k + 5 - 2. Let z = 4 + q. Calculate the remainder when w is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*f - 132 = 150*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, -57, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 + -4.27. Which is the closest to 2\/5? (a) q (b) 10 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 12*z**2 - 10*z - 23. Let b be g(10). Let i(l) = b - 39 + l - 38. Let a(o) be the second derivative of 11*o**4\/12 + o. Determine i(a(n)).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115596643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o. Let b(x) = -378*x + 2. Calculate b(a(r)).\nAnswer: 3780*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 4*p, -26*o - 2*p = -19*o - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-14)\/12 + 2). What is the third smallest value in 3\/4, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z = j - 13, 5*j - 4*z = 8. Suppose 6*q = 3*q + 4*s - 11, 2*q - j*s + 14 = 0. Solve -5*k - 4*x - 18 = -0*x, 4*k + 14 = -q*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1313624 and 157\/1820?\nAnswer: 45976840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t, -5*t - 19 = -q - 2*q. Let j = -4 + q. Suppose 0 = -j*s - 0*s + 8. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 23343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u**(1\/9))**(-22)*(u\/(u*u*u**8))\/u*u*u**(2\/13)\/u*(u*(u\/(u\/u**(-6)*u))\/u*u)\/(u\/((u**(1\/3)\/u)\/u)) assuming u is positive.\nAnswer: u**(-2452\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507751533 by -3.\nAnswer: -169250511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 13*c**2 - 4*c + 56. Let a(s) = -s**2 + 13*s - 25. Let x be a(9). Let m be b(x). Let i = 415 - m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25676 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 12*z - 11*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 + 18752*q**3 - 51962540*q**2 - 252714373800*q = 0 for q.\nAnswer: -4165, 0, 3642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390 - 40*a**3 + 780 - 390.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (0\/(-3))\/(-3). Suppose v*m + 3 = -2*b + 11, -2*m - 3*b = -7. Solve -m*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -4 - -2) + -2. Suppose -369 = 3*q - k*q + 2*o, -5*q - 3*o - 615 = 0. Let y = 195 + q. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 101. Let y = 327 + -347. Let h = -10 - -22. What is the least common multiple of x(y) and h?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -141013?\nAnswer: -141012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206089 is divided by 1321.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) + 6*1*sqrt(3564))\/(sqrt(576) + 2*-2*sqrt(576)).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3\/2 - 6*i. Let r(h) = 4*h**2. Calculate r(j(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0 + 2\/7*v**3 - 3\/140*v**5 + 18*v + 0*v**2 + 0*v**4. Suppose u(c) = 0. What is c?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 4639937.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**2 - 35. Let f(n) be the first derivative of -19*n**3\/3 - 52*n + 38. Let k(v) = -5*f(v) + 7*l(v). Differentiate k(q) with respect to q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let n = i + 7. Solve 0 = -2*u + 10, -5*f + n = 2*u - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 1407*x**5\/20 - 163*x**4\/4 + 188*x. What is the third derivative of l(o) wrt o?\nAnswer: 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let r(k) be the third derivative of k**5\/60 + k**4\/12 + 2*k**3\/3 - 103*k**2. Let c(d) = -d**2 - 3*d - 5. Give f*c(u) + 5*r(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 259\/28 - ((-21)\/(-36) - (-2)\/(-6)). Solve n = -45*m - 36 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and -0.04.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 16 + 670*l - 674*l + 6.\nAnswer: -4*l - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 189003324365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(1208\/(-3171))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4020a3 (base 11) to base 10\nAnswer: 646979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/13452 and 16\/21.\nAnswer: 94164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 18*o - 11 + (-2 - 4*o + 2)*(3 + 0 - 1))*(-2*o**4 + o**2 - o**2).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 + -0.4. Let n = -97.4 - -101. Let q = n - y. What is q rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 730*f - 735.\nAnswer: 5*(f - 147)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-987)\/7938 - 2\/12.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 - 107*m**2 + m.\nAnswer: -107*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*p**3 - 64*p**3 + 243*p**3.\nAnswer: 414*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -4 + -1 + 5 - 4) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2491 + 662 + v**2 + 58*v**3 + 4*v**4 - 16*v**3 wrt v?\nAnswer: 16*v**3 + 126*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**3 + 2614*v**2 + 27*v + 17 wrt v.\nAnswer: -12*v + 5228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 - (13 + (-15 - 1 - -11))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 + 0) - -5) + (-17 - -18) + -27.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5109162 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2093 = 8*u. Let f be 4\/(-14) + 0 - u\/(-91). What is the third smallest value in f, 0.1, -5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 278220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 40 = 6*y, -i = 7*y - 4*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1206 divide 102449387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 29 - 1 = 0. Let w(o) = -o**2 - 5*o + 5. Give w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100401528?\nAnswer: 2, 3, 4183397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z + 6*z**3 + 13 - 7*z**3 - 3 + 6*z**2. Let q be n(7). Let y = q - 143\/6. Which is the nearest to 0.1? (a) 2 (b) y (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5436 - 401?\nAnswer: -5837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -600 - -599. Which is the nearest to y? (a) 15 (b) 2 (c) 0.02 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:25 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-8 - 4)) + (-1 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q + 5. Let l be a(-4). Sort l, -5, -4 in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {j: 2, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:08 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**2 - 2*t - 1. Let s = 1 - 2. Let n be f(s). Let v = n + -8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/m**(3\/7)*m)\/m)*m*m*m)**(-2\/7)\/(m**9\/((m\/(m*m\/m**(1\/26))*m)\/m*m)) assuming m is positive.\nAnswer: m**(-12301\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let i(x) = 7*x**2 - 4*x - 2. Let d(h) = -36*h**2 + 21*h + 11. Let y(o) = 4*d(o) + 22*i(o). Give y(k(a)).\nAnswer: 40*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -34, 3, -4, -5, -11\/14?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 0*h - 464 + 464.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/10 + 4)\/((-5)\/(-4)). Suppose b*g - 1015 + 173 = 0. What are the prime factors of g?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (177*y + 171*y + 304 - 343*y)*(-8*y + 3*y - y) to f*y + b + h*y**2 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/20 + (-2)\/(-8). Let r = 7790 - 38948\/5. Find s such that a*s**5 - r*s**2 + 0*s + 0 + 2\/5*s**4 - 1\/5*s**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -20*z. Let x(w) = -4*w. Let b(m) = -3*j(m) + 16*x(m). Let g(o) = 65*o**2 + 40. Let c(y) = 5*y**2 + 3. Let f(a) = 40*c(a) - 3*g(a). Determine f(b(s)).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 0*c**3 - 3*c**3)*(-3*c + 5*c + 0*c) + 133228*c**4 - 246060*c**4 + 122752*c**4.\nAnswer: 9922*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 18. Suppose -o*j = -a - 2*a - 36837, -4*a + 4 = 0. Suppose 2960 = 6*n - j. What is n rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -73. What is the lowest common multiple of ((208\/(-20))\/o)\/(1\/(-5)) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25127829 rounded to three decimal places?\nAnswer: -1.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 451. Let k be 1\/3 - p\/(-27). What is the greatest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - 1d78?\nAnswer: -1db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*f - 1768, u = -5*f - 1253 - 957. Let t be -1 - (2 + f)\/4. Let p = t - 548\/5. Which is the third biggest value? (a) p (b) -3\/4 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111220122201 - -10?\nAnswer: -111220122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = -55. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264101297 to the nearest integer?\nAnswer: 16251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z + 7*z**3 - 4*z**3 - 2*z + 2*z**3.\nAnswer: 5*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:28 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/5 + -14\/15. Which is the closest to 1\/4? (a) 1 (b) m (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5541362047.\nAnswer: 13, 426258619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815.0462ml to litres.\nAnswer: 0.8150462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/22*(-300)\/(-225)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -10. Suppose -3*x = -3*k - 5 - 1, 2*k + 5*x + 18 = m. Let j be 0\/3 + 45\/((-12)\/k). Round j to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39241?\nAnswer: 39241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 40. Let c be i(-7). Let o = 97\/3 - c. What is the third smallest value in 0.5, 2\/7, o, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001001 (base 2) to base 8\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**5 + i**4 - i**3. Let t(m) = -127*m**5 + 289*m**4 + 7*m**3 - 122*m**2 - 42*m - 4. Let g(v) = -t(v) + y(v). Factor g(d).\nAnswer: 2*(d - 2)*(d - 1)*(4*d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15043241 and 15043244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 9*u + 12. Is m(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2. Suppose -p - 2*q = -2*p + 10, p + 3*q = -10. Let z = -1 + 5. Let s(c) = -17 + 34 + z*c**p - 17. What is s(l(r))?\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**2 - 25682636*y - 8560880.\nAnswer: 4*(y - 2140220)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-42*(-50)\/16800)\/(2\/10)*44\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296826*b**4 + 3*b - 41893.\nAnswer: 3561912*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 993943 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or 58377?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 80*g - 64. Let v be s(10). Let x = v + -624. Let q(k) = -17*k**3 - k**2 - k - 1. Let r be q(-1). Calculate the greatest common divisor of x and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98*h*k**2 - 1452*h*p**2 - k**3 + 3*k**2*p**2 wrt k?\nAnswer: -196*h*k - 3*k**2 + 6*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -6*p + 6. Let b = 5 - 3. Let g(d) = -d - d - 3 - 2*d**b - 2*d. Calculate g(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.98 * -4\nAnswer: 47.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -119.8. Let x = -0.77 - -59.77. Let y = f - x. Sort 2\/21, -3, y, 0.3 in increasing order.\nAnswer: -3, y, 2\/21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 3*v - 2. Let k(p) = 15*p**2 + 279 - 18*p - 4*p**2 - 267. Let y(q) = 6*f(q) + k(q). Let a(h) = 17*h. Determine a(y(l)).\nAnswer: 85*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2977112 divided by 372139?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1416.\nAnswer: 9912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 60 + 2*r + 27*r**2 + 32 + 17*r**2.\nAnswer: 44*r**2 + 2*r + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 3.2. What is the third smallest value in -4, n, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3, 1.5, 1\/83.\nAnswer: -3\/2, 1\/83, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -0.6. Suppose 2*g - 2 = 5*x, x + 0*g - 1 = -g. Which is the second biggest value? (a) x (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4871 divided by -7.\nAnswer: -4871\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*2*5 - sqrt(126))\/sqrt(9))\/(-5*-2*sqrt(200)).\nAnswer: 9*sqrt(7)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 561*f - 723. What are the prime factors of b(6)?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-120)*12)\/((-18)\/48)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:13 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1643 - 69*x - 1643)*(1 - 1 - 2*x)*(5*x - x - 2*x) in the form u + d*x + y*x**2 + f*x**3 and give f.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392*d**2*k**2 - 26*d*k**2 + d + k**2 wrt d?\nAnswer: 784*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -428 - -6878b?\nAnswer: 68363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5313.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*u - 103. Let n(t) = t**3 - 22*t**2 + 32*t - 27. Let g be n(u). Suppose 3*k + k - g = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201783 or 3624?\nAnswer: 3624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/12)\/(2\/3). Solve 0*z = -y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let f be 16\/56 - (-52)\/14. Suppose -167 = -3*m + s*y, -2*y - 226 = -0*m - f*m. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (171*l + 41 + 35*l - 42 + 69*l)*(-4*l**2 - 2*l + 2*l) in the form g + h*l**3 + s*l + j*l**2 and give h.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -117*4\/(-6)*(-21)\/(-42)*-1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c - 1. Let u be q(-4). Let r = 22 - 20. Suppose z + 0*z + 2 = 0. Put r, u, z in descending order.\nAnswer: u, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -166, -78, 10?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 92*a - 1061 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let g(m) = 20*m + 9*m + 14*m + 8*m - 7*m. What is g(k(v))?\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1\/43, 0.6, 1\/3, -3\/2, 0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 41.02. Round c to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/80)\/((1419\/165)\/1).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f + f)*(-39343 + 18635 + 18564)*(1 + 5 - 4) in the form b*f + z and give b.\nAnswer: -8576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2025*a**2 - 1752*a**2 + 13671*a - 13671*a.\nAnswer: 273*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 22*c**2 - 21*c. Let f be m(21). Solve 0 = -f*t + 5*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/z**(1\/14))\/z*z*z))\/z*(z\/z**(1\/9)*z)\/z*z)\/(z*z*z**(-2\/19)*z*z**(-5\/2)))\/(((z**(3\/5)\/z*z)\/z)\/(z\/(z**(1\/3)\/z)))**(-2\/29) assuming z is positive.\nAnswer: z**(-100138\/173565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -910661 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 0. Let f(c) = 6*c**2 + 2*c + 1. Let w be (5\/(-10))\/((-2)\/(-8)). What is the remainder when f(w) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267098829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00239837044 rounded to 6 dps?\nAnswer: -0.002398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*t = -88, 2*t - 85 = -2*c - 5. Solve c - 46 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2586 = -2*m, 2*l - 2*m - 1418 = -124. Let r = -59 + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose 3*n - z = 4. Suppose -37 = -2*k + 3*b, k - 2*k = 4*b - n. Calculate the highest common divisor of k and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7622 and 60088.\nAnswer: 6189064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.2 and 7?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -4, 5, -20722 in descending order.\nAnswer: 9, 5, -4, -5, -20722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741 is divided by 129.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**2 + 10 - 6*i - 5*i**3 - i**3 + 5*i**3. Let r be (966\/(-276))\/((-2)\/(-4)). Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 1f?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -144848022 + -5?\nAnswer: -144848027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 0 - (-2 - 1)) + -229 + 240\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -253968 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 - 4*v + 6. Let k be d(-5). Let p = 4 + -5. Which is the nearest to -2? (a) k (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 7}. Give prob of picking 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**5)\/s)**(-14\/5)*((s\/(s\/(s\/(s*s\/(s**(1\/2)*s)))))\/s)**(-3\/10))**(1\/9) assuming s is positive.\nAnswer: s**(283\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a + 358*a**2 - 175*a**2 - 55 - 182*a**2 + 58. Calculate v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.79595*-1\nAnswer: 2.79595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1644 (base 12) to base 4.\nAnswer: 221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:00 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -83, 26.26 in descending order.\nAnswer: 26.26, 0.11, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63642 is divided by 884?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*l + 7*l + 14*l + 25 - 13*l**3 + 15*l as t*l**3 + y + c*l**2 + b*l and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 - q - 2. Let y(b) = -b**3 - 5*b**2 - b - 2. Suppose -2182*o - 2 = -2184*o - 12. What is o*k(w) + 6*y(w)?\nAnswer: -6*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + -12. Let r = a - -31. Suppose r*b = -c + 6*b - 10799992, 2*c + b = -21600002. Round c to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -0.04, 35, -1\/4, 8 in increasing order.\nAnswer: -3.7, -1\/4, -0.04, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17570710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -90560000 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus -11?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-387 - 1)*(-4)\/16. Let w = g - -114. Is w\/(-7 + 3 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 25, 42, 61, 82, 105?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 t when three letters picked without replacement from {t: 2, f: 1, c: 4, b: 1, k: 4, x: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 0*f - 2*f - 4 + 11*f**3 - f + 0*f in the form i*f**3 + v*f + r*f**2 + u and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-44) - (-9)\/(-99). Sort 3, u, -4, -3 in increasing order.\nAnswer: -4, -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 18. Let k = -2119 + 2133. Determine h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6769 - 2299. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73329, -146656, -219983, -293310, -366637, -439964?\n\"Answer: -73327*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)\/g**(2\/3))\/(g**(-1))**(-16) assuming g is positive.\nAnswer: g**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 2*p**5 - 4*p**5 + (0 - p + 0)*(-p**4 + 3*p**4 - p**4) + 2*p**2 + p**5 - 2*p**2 + 0*p**5 + 2*p**5 - 6*p**5.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 965953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 461000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + 4*u - 1. Let w(a) = -105. Let v(r) = 262. Let x(l) = 6*v(l) + 15*w(l). Give 3*q(s) + 4*x(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:25 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/((-38)\/(266\/(-35))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose -42*v + 206 - 575 = 93. Sort -4, 8\/5, v in descending order.\nAnswer: 8\/5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014628 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 13629922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 15296*p - 5871388.\nAnswer: -(p - 14902)*(p - 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:11 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76182795 is divided by 163?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 2578 + 1678 = 0. Let o be -6 + ((-98)\/(-12) - q\/(-60)). Find v such that -10\/3*v - 4 - o*v**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-567)\/18*(-4)\/6. Let q be (i\/12)\/(5\/40). Solve 2*n + q = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 182714.\nAnswer: 182713.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n*p**2*z - n*p*z**2 - 226*n*p - p**2 - 2*z**2 wrt z.\nAnswer: 5*n*p**2 - 2*n*p*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1890)\/200*6\/7 and 69\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 8 = 21*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 413+143752\nAnswer: 144165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 280 in -2\/13, -21, -1, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2\/7, 0.4, 5, 10.697, 3, 0.3?\nAnswer: 10.697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/10)\/((-18)\/(-15)). Let a be (-8)\/36 + 88\/234 + 0. What is the third smallest value in 3\/2, a, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 2. Let n be z(-2). Let q = 76 + -79. Which is the nearest to 0? (a) -0.2 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7 and -19\/30266?\nAnswer: 211862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:28 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 48.1. Which is the second smallest value? (a) -1 (b) -1\/2 (c) 0.2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87321?\nAnswer: 3, 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a + 96*a = 116*a + 2970 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 1 - 16, 5*v - 2 = -q. Let x be (-106)\/(-6) + 1\/3. Let f = q + x. Are f and -5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Let o be (-9 - -8)\/(1\/z). Is o\/(-21) + 6320\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 14*q**2 - 2*q - 32. Let x be u(-14). Is 3 a factor of 4*x*69\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 6356533?\nAnswer: -3178266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 22001010?\nAnswer: -22000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -4. Suppose -37 = -3*f - 3*i + 47, -4*f + z*i + 94 = 0. Calculate the remainder when 72 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-54))\/(4\/(-6)). Let w = 9.6 - 11.6. Sort -0.3, g, 4, w.\nAnswer: w, -0.3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101204 (base 5) in base 4?\nAnswer: -20123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*h + 8282*c**3 + 8*c**2 + 66*c*h + 100*c + 30*h - 3 wrt c.\nAnswer: 12*c*h + 49692*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 + 9*w - 3. Let i = -22 + 29. Let o be j(i). Let y(s) = 4*s + 27. Let m be y(7). What is the highest common factor of m and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 123?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 633753.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = -4*x - 10, 0 = -2*x + 4*p - 12. Let w = -2 + 6. Calculate the smallest common multiple of 41\/2 - x\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -529.8877 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 618 times -5\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1209 by -2.\nAnswer: -1209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, 29, 154, 329, 554, 829?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*m + 6. Calculate the lowest common multiple of (-6)\/30 - 32\/(-10) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from yyd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -413*n - 298*n - 9243 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 372*o**3 + 41310*o**2 - 656100*o - 81192375 = 0 for o.\nAnswer: -33, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, t: 5}. What is prob of sequence ppt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b**4 - 12*b**4 + 19*b**4 + (-1 + 1 + 2*b**3)*(3*b + 0*b - b).\nAnswer: 31*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 10*w**2 + 111.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -2*p**7\/63 + 4*p**6\/45 + 8*p**5\/15 - 2*p**4 + 2*p**3 - 402*p. Solve r(i) = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2662\/689 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfff when four letters picked without replacement from zffffzfff.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 7*n**2 + 8*n + 6. Let b be m(-6). Let f = 6 + b. Let x(t) = t - 7. Determine x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + f - 2*f - 12 = 0, 4*v - 20 = 3*f. Let o be (8 - v) + (-5 - -6). What is the lowest common multiple of 12 and (-2)\/o + 128\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 1 + y**2)*(-15208 + 15208 - 327*y) to g*y**2 + x*y**3 + q*y + v and give q.\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.879 decades in months?\nAnswer: 31185.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 10, -257 in increasing order.\nAnswer: -257, -6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26205 and 695.\nAnswer: 3642495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12967.72 rounded to the nearest ten?\nAnswer: -12970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42854335*q*z + 34448*q - 63 wrt z.\nAnswer: -42854335*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 - 6*m - 5. Let l be (-6 - -3) + (-1)\/1. Is z(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n)\/(n\/(n**(2\/15)\/n)*n))\/(n\/n**(2\/15)*n**(-11)) assuming n is positive.\nAnswer: n**(199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29123*l - 4 + 6 + 7 + 1.\nAnswer: -29123*l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dszzibbswsbb. What is prob of sequence zdw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 1. Let u(l) = 2*l - 2. Let v = 95 + -104. Let q(i) = -i**2 - 10*i - 6. Let c be q(v). Calculate c*s(x) + u(x).\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g**2 - 2*g**2 - 2*g + g + 3*g**2 - 16. Let p = 311 - 317. Is x(p) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/21818918?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1580*x**2 - 2*x - 3. What are the prime factors of y(-1)?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let m = -67\/28 - -8\/7. Let f be (-33)\/42 + 2\/7. Which is the closest to f? (a) 0.2 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 195102.3 litres?\nAnswer: 195102300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145369.\nAnswer: 1145369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 + 11*s**2 - 397*s - 4*s**2 + 202*s + 195*s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/11, -281012, 1, -3\/8, 2\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430376 and 1633.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 - 144. Suppose 3*p - 5*o + 14 = q, 4*o - 8 = -3*p + 7*p. Solve 0 = -4*g - g - 3*t - 25, 4*t = -p*g - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**2*z + 7530*v**2 + 14*v*z - 2*v - 25305160*z wrt v.\nAnswer: -4*v*z + 15060*v + 14*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 - 67*o**2 + 20*o + 47. Calculate the remainder when 497 is divided by w(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78451, 156912, 235373?\nAnswer: 313834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 25 - 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 213030030 (base 5) to base 6\nAnswer: 31244204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31392 and 40875?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*t = -0*t. Suppose 5*j = -3*f + 15 - t, -j = 3*f - 15. Suppose 3*i - 14 = x, -2*x - 8 = -j*i - i. Let w(k) = -k**2 + 7*k - 4. What is w(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/6 + 21*k**2\/2 - k. What is the units digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779898 + 2592537 = 24*y - 765945. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + 0 - 3*n + 0*n + 2*n + 0*n + (-2 + 1 + 3)*(2*n - 1 + 1) + 0*n - 4*n + 2*n.\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 3*x**2 + 4*x + 2. Let q be j(5). Solve -2*y = y + q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 19339015.\nAnswer: 174051135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 96705\/(-31928) + (-39)\/(-8)\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n**2 + 2374*n - 23046. Calculate c(88).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 + 22196308*c = 0.\nAnswer: -5549077, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -0.4, -2, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*h + 4*h - 152 = 0, -556 = -4*g - h. Let v = 201\/43 + -5171\/1419. Calculate the common denominator of (1 + -1 - g\/(-150)) + 0 and v.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13447 is divided by 201?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 5*w**2 - 5*w**2 + (-2*w + 0*w - 2 + 1)*(135*w**4 - 2186*w**3 + 2186*w**3) + (-w**3 + 4 - 4)*(0*w**2 - 3*w**2 + w**2).\nAnswer: -270*w**5 - 135*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-267)\/1869)\/(((-119)\/1715)\/17).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -6.\nAnswer: -13, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16 and -97\/548810.\nAnswer: 4390480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 + -142. Which is smaller: v or 1\/258?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5721*g + 11461*g = 5721*g - 1596 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212047007 + 0.0158653?\nAnswer: -212047006.9841347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/24 - 7*f**3\/6 - 307*f**2. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 795.304555 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*i + 24*b**3 - 134*b + 4162*i wrt i?\nAnswer: b**3 + 4162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3145609 or 240?\nAnswer: 3145609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -2, -0.4, -3\/4274, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14612 + -14503. Let j = -2237000 + 2237109.0061. Let z = r - j. What is z rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10162.0009674 - -10162. Round v to 5 dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174663 and 1917?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 3*d)*(5*d - 1 + 1)*(1279 - 303 + 294 + 827).\nAnswer: -20970*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 86. Suppose 42 = q*g - 2*g. Calculate the remainder when 34 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 2. Let j(m) = -15. Let t(f) = -3*j(f) + 6*v(f). What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 1, w: 8, s: 2}. Give prob of sequence wrs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 57. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 3 - (8 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + y - y. Let t = 10 + -7. Let l(r) = 3*r - 2*r + t*r - 5*r. What is j(l(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8845610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auj when three letters picked without replacement from xmxxaxjaxxxaxauuxxax?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 757464417.9243096 - 5.9243096. Let f = 757464408.00000019 - t. Let l = -4 - f. What is l rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 1. Let t be (4\/(-10))\/((-2)\/(-10)). Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 3. Let v = z - -6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -43*d**2 - 2*d + 1. Let p be y(1). Let f = -31 - p. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmqqmq. What is prob of sequence qm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.45808 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2748 + 2763. Solve 15 = -a + 2*a - 5*h, 5*h = 4*a - t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.031 + -3.031. Which is greater: z or -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -0.030035.\nAnswer: 0.871015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 231\/(-54) - (-3)\/2 and -47\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1357 + 629 = 56*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29025 - -58084. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - -6 - -7) + (-9 - (-27 + 0)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(128))\/sqrt(4) - sqrt(32))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7185150 and 4950.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49790*(-1)\/790 - -63.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4287992.1 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*a - 348255 = -423*a. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.1 and -0.3362.\nAnswer: -1.71462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = -4*i - 105, 0 = 3*g + 4*i + 63. Is (36\/g)\/((-4)\/42) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -130, -4, -1 in increasing order.\nAnswer: -130, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 52.8. Let v = 6.1 + -9. Let i = -0.1 + v. What is the closest to -3 in 1\/7, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(605) + -2)**2*6 + -1 + (sqrt(10)\/(sqrt(8)\/sqrt(4)))**2 + -1.\nAnswer: -264*sqrt(5) + 3657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -1531.\nAnswer: -45930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q\/(((((q\/(q**(3\/7)\/q*q)*q)\/q)\/q)\/q*q*q)\/q))\/q)\/q)**(6\/5))**(-3\/4))**(-1\/18))**(-15\/4) assuming q is positive.\nAnswer: q**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(80\/(-56))\/((-300)\/280)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 - 306 + 749 = 115*f - 16*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3022.8 + 3023. Let p = 13 + -10. What is the nearest to 1\/4 in 0, p, r, -35?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -787976271568\nAnswer: 787976271568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:25 PM?\nAnswer: 218","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 323*r**2 + 31*r + 5. Let w be s(-2). Calculate the greatest common factor of w and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 6?\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-27)\/6)*117\/(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -982*v - 2026.\nAnswer: -982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 2. Let o be p(-3). Suppose q + o*q + 525 = 0. Let f = q + 196. Calculate the greatest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 24*r - 706. Let k(b) = 3*b**2 + b - 6. What is the smallest common multiple of p(14) and k(-9)?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/(-10)*-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:42 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*o + o - 106, o = -5*v + 102. Suppose 22*w = 12*w - v. Which is the third biggest value? (a) -7 (b) 2 (c) 3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18161 - 1?\nAnswer: -18162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6180 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*y = 20, -375*q + 189*q + 184*q - 3*y + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5630709.\nAnswer: 3, 7, 73, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89 times -1.8?\nAnswer: -3.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/560000 and -47\/77.\nAnswer: 6160000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -722*a + 4356. Let y be n(6). Solve -y*k - 12 = -29*k - g, 4*g = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 6, z: 7, b: 1, o: 2}. What is prob of picking 2 o and 1 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u + 39. Let o be t(-8). Suppose 4*f + 0*f - 12 = 0. Let m be f + -4 + (o - -9). Solve -2*k - m - 3 = 5*z, 0 = -2*k - 3*z - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, n: 2, a: 1, i: 2}. What is prob of sequence ie?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12254023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -367, -1686, -3885, -6964, -10923?\n\"Answer: -440*o**2 + o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/147*(5313\/396)\/23?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-162)\/4)\/((-21)\/112*2). Suppose r = -2*x - 0*x. Let f be (x\/(-30))\/((-9)\/(-75)). Which is the third smallest value? (a) -3 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 3, r: 2, v: 1, u: 4, f: 1}. Give prob of sequence fv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s - 21. Let l = 12 + s. Suppose -14*m = -13*m + 2. What is the smallest value in m, l, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o + 20*o**2 - 3*o**3 + 13*o + 3*o**4 - 57*o**2 - 25*o to the form q*o + s*o**3 + p*o**4 + n + r*o**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/49 (c) 2163\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15221791495717 and 0.3.\nAnswer: 15221791495717.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1282525*f**2 + 6 - 6496308*f**2 - 6.\nAnswer: -7778833*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -823\/4, 3, -0.5, -2, 0.11782 in decreasing order.\nAnswer: 3, 0.11782, -0.5, -2, -823\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 + 4*l - 4. Let r(c) = 7*c**2 - 3*c + 3. Calculate -6*n(h) - 8*r(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 5. Let d(p) = -4*p**2. Calculate x(d(a)).\nAnswer: -8*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10, -4*d - 2*s = -5148 + 1240. Suppose -3*k - 280 = -5*q + d, q - 2*k - 247 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.39 and -10111?\nAnswer: 145497.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13750 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - 3*a)*(1 + 0 - 2)*(-2*a + 0*a - 3*a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 167, 388, 697?\n\"Answer: 44*n**2 + n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48115373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q + 2*q)*(507*q**3 + 248*q**3 - 1348*q**3).\nAnswer: -1779*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3414 - 1734. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*t - 8484, 2*t - b - 5014 = 649. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729061 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 0*n**3 + 1\/4*n**4 + 0*n + 2*n**2. Let r(w) = 2*w**2. What is c(r(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9482 - -1.93. Round g to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 + 6 - 6) + (-2 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (sqrt(425)*1)**2 - sqrt(17) - -4*sqrt(425).\nAnswer: 24*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = k - n, 17*k - 13*k + 3*n = -65. Let h = 36 - -8. Let w = k + h. Solve -4*l + 3*a + a + w = 0, l - 12 = 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116416 (base 7) to base 3.\nAnswer: 1002110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 42*g**2 - g + 1. Is 28 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -148. Let g = 11 + -8. Let z = n + g. Put 3, -4\/5, z in decreasing order.\nAnswer: 3, -4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - 20\/(-6)*54\/36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/(-12))\/(((-98)\/(-210))\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 7165.\nAnswer: 14330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + o - 6. Let d be s(6). Let w = 61 + d. Let h be (w\/20)\/((-2)\/(-8)). Solve 3*v + 4*q = h, 0 = v - 3*q + 7*q - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**4\/12 + 2*f**3\/9 - f**2\/6 + 8. Factor m(k).\nAnswer: -k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253325 is divided by 375554.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88657732 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193201 is divided by 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)*n\/(n\/(n\/((n*n*n\/(n*n*(n**0\/n*n*n)\/n*n))\/n))))**41 assuming n is positive.\nAnswer: n**(451\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18269?\nAnswer: 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1541727*j**4 - 982006*j**2 wrt j.\nAnswer: 37001448*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59891*s**2 + 4*s + 12277 wrt s?\nAnswer: 119782*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93356 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*t**2 - 520*t**2 + 4606*t**2 to h*t**2 + r + c*t and give h.\nAnswer: 4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.802 - 0.73. Let d = g + -0.162. Sort -3\/4, 5, d, 4 in descending order.\nAnswer: 5, 4, d, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.411 + 1.811. What is the closest to p in -0.5, 7, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/(-1920))\/(-4*2\/18)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/189075955 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 1. Let m(g) = -5*g**2 - 3*g - 1. Give -m(p) - 4*w(p).\nAnswer: p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.4. Let v = j - 2.2. Let k = 847 + -847.3. Put v, -0.01, k in descending order.\nAnswer: -0.01, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 2*y)*(-2*y - y + 2*y)*(12*y**2 + 17*y - 17*y).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 477*q**4 + 38125*q**3 - 63179774*q**2 wrt q?\nAnswer: 11448*q + 228750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 + 2*p + 4423*p**2 + 2*p**3 - p**3 - 4422*p**2 as w*p**3 + z*p**4 + c + b*p**2 + o*p and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2261 and 765646?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5626470.\nAnswer: 2, 3, 5, 19, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -31*h**2. Let r(w) = 6*w**2. Let p be 22\/(-12) + (-3)\/(-72)*-4. What is p*g(o) - 11*r(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 260000\/3*s + 1250\/9*s**3 + 391873\/9*s**2 + 43264 + 1\/9*s**4.\nAnswer: (s + 1)**2*(s + 624)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = 270. What is the common denominator of (-4)\/26 + 5097\/936 and 18\/(-6) + (-166)\/p?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2755*t = -2757*t + 60, -2*t + 26 = -10*l - 34 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 123*d**3 + 4*d**2 + 6*d - 17. Let f be s(2). Suppose 0 = 5*h - f - 870. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 2*a**2 + a**2)*(127*a - 248*a + 123*a + 744*a**2 + 1016*a**2).\nAnswer: -1760*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**8\/28 + 217*d**5\/20 + 1127*d**4\/12 - 227*d - 2. Find the third derivative of p(r) wrt r.\nAnswer: 240*r**3 + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1726145.9999875 - -1726155. Let y = 9 - r. Round y to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddbddddbdddbddddd. What is prob of picking 2 d and 1 b?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*o + 162, -352 = -9*c + 7*c - o. Suppose c = m - 4*h, -5*m - 2*h - 478 = -1280. Let j = 57 - 39. What is the highest common factor of m and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 3*t - 27, d + 22737 = 2*t + 22734 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 19*w + 10. Let g(s) = 5*s**2 - 18*s + 9. Let n(l) = 7*g(l) - 6*i(l). List the prime factors of n(-5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168507*h**4 - 1265106*h**3 - 934956*h**2 + 6740424*h + 3075936 = 0.\nAnswer: -358\/79, -4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in -26, 5472, -2\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1250343*f - 918746 wrt f?\nAnswer: 1250343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -40249 - 6.8\nAnswer: -40255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.82 - 0.99. Let o = z - -0.17. Sort -5, 1\/5, o in increasing order.\nAnswer: -5, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6831)\/115*-1*5. Let s(h) = d + 2*h**2 - 297. Let u(w) = -4*w. Calculate u(s(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 9, t: 9}.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(2*sqrt(7)))\/(sqrt(2)*-1*3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1386660 and 2904.\nAnswer: 2773320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2907, 2935, 2977, 3033, 3103?\n\"Answer: 7*x**2 + 7*x + 2893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + f - 12, 78*f + 328 = -4257*v + 4253*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*v + 17, 3*v - 12 = 236*a - 233*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.032 + 0.032. Which is the nearest to q? (a) -2 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/768 and 59\/40.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3200 - -3193. Let x(j) = j - 1. Calculate x(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/2 + 51*c\/2 + 154 = 0.\nAnswer: -44, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 plus 443794170?\nAnswer: 443794057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 9*d**2 + d - 4. Let r(b) = -7*b**3 - 19*b**2 - 3*b + 9. Calculate 4*r(t) + 9*y(t).\nAnswer: -t**3 + 5*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*o - 246, -3*y + y + o + 158 = 0. Let t = -79 + y. What is the closest to 1 in -4, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391566 + 1283944984\/3279. What is the common denominator of d and 11\/7?\nAnswer: 22953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 5*u. Let t be s(5). Suppose -5*j + 4*j - 3 = t. Is 2 + 2 - (j - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86215121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26380751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = -25*l + 3, 24 = 3*a + 58*l - 53*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(180) + -1*sqrt(180) + sqrt(180))**2*4.\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/17*(-5)\/25*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -47*a + 2. Let w(t) = -2*t. Determine 2*c(v) - 22*w(v).\nAnswer: -50*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 9*t - 8*t + 8, -4*p = 2*t + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 w when four letters picked without replacement from lnwldwwlwwwlwjlj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 15043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8455222425 - 0.553.\nAnswer: 8455222424.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y**2 - 67*y**2 - 76*y**2 - 77*y**2 + 457*y**2 - 90*y**2 - 76*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/v**(3\/4)*(v**(1\/4))**18 assuming v is positive.\nAnswer: v**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433077.\nAnswer: 11, 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:09 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22) - (-81)\/(-3564)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11001011111 (base 2) to base 9\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3630922 divided by -11.\nAnswer: 3630922\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.2 - 10.67?\nAnswer: -66.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/29, -1447, -0.1, -29, -2\/5?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*t - 897*t = -5*s - 73, -38 = -s - 2*t + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -396 and -0.1.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72829 is divided by 23945.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*z = 434*z + b - 6, 5*b = 3*z + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5299 - 2463475.\nAnswer: -2458176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - b**2 + 2*b - 4. Let h be z(-3). Suppose -d - h = -218. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-2 + 4))*3. What is the highest common factor of 21 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-3))\/((1*-1)\/(27\/(-18))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 6403?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 2*u - 1. Suppose 2 = -3*o + 2*o. Let c be j(o). Suppose -4*x + 21 = -c*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 1 + 4*v**2 + 4*v**2 - 4*v**2 - 3*v**2. Let u = -2 - 1. Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -2.2. Let n be ((12\/(-15))\/(-1))\/6. Which is the nearest to j? (a) 0.3 (b) 1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, q: 3}. Give prob of sequence oiq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -471*d**2. Let g(j) = -185315*j**2. Determine g(p(m)).\nAnswer: -41110464915*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q - 33*q - 10 - 7.\nAnswer: q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064163751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-6)\/(-5)*2005\/(-401))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5555 and 5591865.\nAnswer: 61510515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 0*a)*(5 + 7*a - 5)*(4 + 2*a**2 - 4).\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2)\/10 - 22\/55. Suppose -9*l + 2*l + 35 = h. Let -12*r**4 + 18*r**4 + 4*r**3 + 7*r**5 - l*r**5 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 81. Let p = 2106.243775 - 2074.244. Let i = r - p. Round i to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1\/6*u**6 + 0*u - 1\/4*u**4 - 1 - 1\/3*u**3 + 1\/5*u**5 + 0*u**2. Factor s(p).\nAnswer: p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 5 - -11 - 64.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-1 - 7)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 3*k + 6*k**2 - 6*k - 4*k**2 to m*k**2 + z + p*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + (-16)\/24. Suppose v*b + 6 = 4*z - 2*b, -5*z = 5*b + 30. Let k = z + 13. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/49196 and 27\/1960.\nAnswer: 491960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 5*u**2 - 12*u + 7. Is d(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 12*p**2 + 12*p + 1. Give q(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78653512 by 14.\nAnswer: -5618108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220210 + 101?\nAnswer: 221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -3*o + 3*n, -5*o + 3*n + 58 = 0. Suppose -17*c + 20*c - 126 = 0. Suppose o*z = 12*z - c. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2476957 - -1437557. Round v to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen fifths of a litre?\nAnswer: 3800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express -29*q + 11*q + 0*q as l*q + s and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12846890 is divided by 69.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 462397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -286 - 44. Let l be 5 + z\/(-18) - 4. Which is smaller: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 65.26. Let s = 66 + g. Sort 2, -3, s.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 6*i - 4. Let z be f(-3). Solve z*h - 40 = -3*b, 4*h - 18 = -2*b + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaazazazzzzzazzza. What is prob of picking 2 z and 1 a?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Let d be (-8)\/10*(10 - t). Let j be (d\/6)\/((-3)\/3195). Round j to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2580057, -2579559, -2578729, -2577567?\n\"Answer: 166*r**2 - 2580223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 833762.6t in micrograms?\nAnswer: 833762600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1341 by 351.\nAnswer: 149\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 5*c - 2. Calculate x(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:37 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3131300 (base 4) to base 14.\nAnswer: -525a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73420 - -206639. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(0*z + 4*z - 3*z + (-3 + 2 - 1)*(1626 - 1626 + 56*z) - 5*z + 2*z + 2*z + 0*z + 2*z + 0*z) to the form h + p*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3066.07 - -3066. Sort m, 2, 40.1 in decreasing order.\nAnswer: 40.1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -49*x + 306. Let h be b(6). Let g(t) be the third derivative of 0*t**3 + h*t**2 - 1\/360*t**6 - 1\/72*t**4 + 0*t - 1\/90*t**5 + 0. Factor g(c).\nAnswer: -c*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and -35\/1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 9*g - j + 2 = 3, 2*g + 4*j + 26 = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-7 + 1)) + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -191. Solve 2*i + 3*l + 7 = 0, 0 = -0*i + x*i + 5*l + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -26) + (-10 - -2 - (-75 - -55))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4394, 4103, 3812?\n\"Answer: -291*j + 4685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*p**3 - 2427*p**2 - 264*p + 276 = 0. What is p?\nAnswer: -23, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -90.919. Let r = 460.793 - 461. Let u = m - r. Round u to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/27 - 0)\/((-1)\/414). Let w = f - -135. Calculate the greatest common divisor of w and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3521 = h + 3*q, -8468 = -2*h + 4*q - 1456. List the prime factors of h.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11. Let w be 8 + 8\/(-4) - y. Let r(t) = 3*t - 2. Is 9 a factor of r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62617.6 times -170?\nAnswer: 10644992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a + 1327*a**2 - 1199*a**2 + 5*a + 8. Is b(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 284 and 6765.\nAnswer: 1921260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from jjgggjjjggjgj?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057835734 rounded to 5 decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x + 20*x + 0*x)*(43 - 43 + 28*x**2) + 3*x**3 - 5*x**3 + 3*x**3.\nAnswer: 225*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 11*k - 24. What is l(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236*m**5 - 22376*m**4 + 3781*m**2 + 61*m + 1 wrt m?\nAnswer: -14160*m**2 - 537024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1468*r**3 + 6*r**2 + 6*r + 5. Let g(m) = 1469*m**3 + 5*m**2 + 5*m + 4. Let d(h) = 3*b(h) - 4*g(h). Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7975149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8213952*j*w**3 - 3*j + 2*w**3 - 7880888*w**2 wrt j.\nAnswer: 8213952*w**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 10 - 2, k - 5*w = 20. Suppose 2*p - v = 7, p - 4*v - 14 + 0 = k. What is the common denominator of (-4)\/(320\/(-444)) - (-1 + p) and -91\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373526.359 take away 0.07?\nAnswer: 373526.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 - 172567570.\nAnswer: -172567569.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333 - 664. Let o = q - -336. Solve o*r + 20 = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239157 is divided by 2949.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652972240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -210*h**3 + 16*h**2 + 63*h - 3. What is the thousands digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*t + 844 = 16684 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + z - 3. Let m = 17 - 18. Let l(q) = q**2 - 1. Determine m*x(w) + 4*l(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 332*l**2 + 6*l - 1. Let b(c) = c**2 - 2*c + 1. What is -a(z) - 3*b(z)?\nAnswer: -335*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 379767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1786 - 1781 = 0, 5*u = -z + 546. Solve -z*i = -526*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 28. Let h = -5 + s. Which is smaller: h or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, 3, -7 in decreasing order.\nAnswer: 3, -4, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45238 is divided by 861?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = k + s, 4*k + 23 = 4*s - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.4, -4, -1, -8?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let i(j) be the second derivative of 3*j + 1\/2*j**2 + 1\/3*j**3 + 1\/12*j**4 + 0. Give i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 657020.\nAnswer: 7227220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 687 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110550 and 4221.\nAnswer: 2321550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -89. Let q = -7.18 + -44.72. Let i = x - q. Round i to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.043153?\nAnswer: -2.043153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 3. Determine j(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 8}. Give prob of sequence bbb.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4750, 9526, 14428, 19450, 24586?\nAnswer: 29830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-5)*r**(-1\/7)*(r*r**(2\/17))\/(r\/r**(-3\/7)) assuming r is positive.\nAnswer: r**(660\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11615, -11939, -12263, -12587, -12911?\nAnswer: -13235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 times 7?\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 4. Let s be a(-9). Suppose -3*j + 79 + 409 = -s*u, -5*u - 800 = -5*j. Round j to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 2, o: 1, b: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 773639.152 and 3.1105.\nAnswer: 773642.2625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2400845 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -366363046107 and 0.07.\nAnswer: -366363046106.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-24 + (16 - 4) - 21).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(500) + sqrt(500) + -2*sqrt(500))**2 + (sqrt(320) + -2)**2 + sqrt(320).\nAnswer: -24*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + j = -37, 36*j + 1126 = 843492*o - 843497*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -14, -1640, -2 in increasing order.\nAnswer: -1640, -14, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5) + 1)*-2 + sqrt(35)\/(sqrt(14)\/sqrt(2)) + ((2*sqrt(160))\/sqrt(4))\/((2*sqrt(96) + sqrt(96))\/sqrt(12)))**2.\nAnswer: 14*sqrt(5)\/3 + 446\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/344 and -53\/500348.\nAnswer: 1000696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jam when three letters picked without replacement from junnjjvjnavmnmjvjj.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8729, -17462, -26195, -34928?\nAnswer: -43661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/159 and 52\/265?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8*m = -4585. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*r = -98, -5*w + 462 = -3*r + 390. Let 0 - 5\/2*j**4 + 5\/2*j**2 - 3\/2*j**w + 2*j**5 - 1\/2*j = 0. What is j?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548174 is divided by 185.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3956.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 6*v**2 + 3*v**2 + (12*v + 21*v - 10*v)*(0 + 0 + 2*v) - 1 + 1 - 2*v**2 + (-v**2 + 6*v**2 - 2*v**2)*(-3 - 2 + 6).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpppvpvhvpvhhvhvppv. What is prob of sequence vv?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03894 + -2.13994. Let f = -0.101 - w. What is the third biggest value in f, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448070 - 24?\nAnswer: 448045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + a + 9863, 3*a + 1967 = m - 0*a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/7)\/((-2)\/(-1)). Let w be (-2)\/(-374) + t\/(-11). Suppose -2 = -4*k + 2. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 1, -8, -2, 12 in decreasing order.\nAnswer: 12, 1, -1, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 5 - 27*p**2 - p - 68*p**2 - 21*p**2.\nAnswer: -116*p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 18*r = -17*r + 155900. What is the remainder when r is divided by 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*-1*-4 + sqrt(88) + sqrt(88))\/(sqrt(1152)*3 + sqrt(8))*-2.\nAnswer: -14*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u. Let i(q) = -2*q. Let f(o) = -2*h(o) - 14*i(o). Let l(r) = 34*r. Give l(f(c)).\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let x(h) = -10*h. Let a(n) = -2*n. Suppose -m = 15 + 1. Let w(t) = m*a(t) + 3*x(t). Calculate i(w(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + c = 8*l + 10, -5*l - 4*c - 51 = 0. Is l >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 832\/3, -5?\nAnswer: 832\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 88*t**3 + 2*t**2 - 4*t + 4. Let w(s) = -s**3 + s**2 - s + 2. What is m(r) - 2*w(r)?\nAnswer: 90*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 10*x**2 + 16*x + 14. Give g(8).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 2, 6, -0.41, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) - (sqrt(136) - (sqrt(136) - (1*sqrt(136) + sqrt(136))))) - sqrt(136))\/((sqrt(200) - sqrt(200)*4*-1) + sqrt(200)).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34351689.\nAnswer: 3, 29, 31, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*c = -8, -6 = 3*j - 5*c + 4. What are the prime factors of (12 + (-4 - j - -3))*3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 28 - -35 - (1 + -32).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqfmqmmmqmqmm. Give prob of picking 1 f and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14265 + -42794\/3. Sort s, -98, -1\/4, 1\/5, -0.2 in descending order.\nAnswer: s, 1\/5, -0.2, -1\/4, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*z, x + z - 64 = 5*z. Let u be (9 + -1)\/(-3 - (-147)\/x). Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3*i + 3. Suppose -5*u = 4*c - 32, -2*u - 2*c - 6 = -5*u. Determine k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v**2 + 1. Let q(p) be the second derivative of -p**5\/20 - p**4\/12 - 5*p**3\/6 - p**2 + 257*p. Calculate b(h) + q(h).\nAnswer: -2*h**3 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/(-30))\/(-4)*645. What is v rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-12)*0*(-30)\/(-180)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**6\/30 + 131*b**5\/10 + 117*b**2\/2 - 3*b - 100. Differentiate l(j) with respect to j.\nAnswer: 4*j**3 + 786*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let s(y) = -4*y + 4. Let n(g) = 3*i(g) - s(g). Let k(j) = -j**3 + 8*j**2 - 9*j + 8. Let v(z) = k(z) + 2*n(z). Is v(5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39538 < 434920\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 + 189 - 55)*(a**2 + 2*a**2 - 5*a**2)*(-a + 3*a + 0*a).\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 5. Let i(g) = g**2 - g. Let d(m) = a(m) - 2*i(m). Suppose -2*f + 40 = 5*v - 6*f, -5*v + 25 = -f. What is d(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/105 and (10 - 215\/21) + (-10)\/(-45)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4776)\/(-34626)*(-29)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*j + 142 = -383 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1027224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 3.492\nAnswer: -3.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26412002887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50804 is divided by 46322?\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*4)\/(1*sqrt(2)*-5).\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0104842 + 53.1\nAnswer: 53.1104842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20. Let y(j) = -2*j + 1. Give -n(h) - 3*y(h).\nAnswer: 6*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -3156, -10447, -24638, -48027?\nAnswer: -82912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 167 - -17?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -8. Let m(w) = -w - 9. Let g be m(r). Let v(l) = 2*l**2 + 8*l - 8. Let o(c) = c + 3*c - 6 + 5 - 3*c. Determine g*v(b) + 8*o(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 80 = -8*t. Let o be (-4)\/(t\/(-3)) + 0. Put 3, o, 4 in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208565 is divided by 927.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177405.\nAnswer: 3, 5, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(50))**2.\nAnswer: 50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12 - 6 - 2 - 1 - 4*p. Let d(x) = 65*x + 6. Let b(o) = -509*o - 47. Let t(k) = -12*b(k) - 94*d(k). Determine t(u(i)).\nAnswer: 8*i + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1079, 2, -460.\nAnswer: -1079, -460, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6\/(-26)*-13). Let g(a) be the third derivative of 0*a + 24*a**2 + 1\/180*a**5 - 1\/9*a**3 + o - 1\/72*a**4. Factor g(q).\nAnswer: (q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 147*z - 7. Let k(i) = 442*i - 20. Let u(q) = 3*k(q) - 10*m(q). Let a be u(10). Round a to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 3)*(0 + 2 - 4)*(-12 + 12 + 6*u) to the form k*u + r and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 75*p**2 + 77*p - 2066. What is o(38)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*c - 4 + 2)*(-1 + 1 - 1)*(0 - 4 + 5)*(-167 - 334 + 718).\nAnswer: 434*c + 217","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veu when three letters picked without replacement from wewuuvg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.40313 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c**3 + 590*c**2 - 35*c + 140. Give j(31).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let f(p) be the third derivative of 17*p**4\/24 + 5*p**3\/6 - 6*p**2 - 5. Determine o(f(x)).\nAnswer: -34*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 10. Suppose g = 3*y + 19. Let z be (y\/(-18))\/(10\/90). Solve 3*a = -z*d + 2, -4*a + 2 = -9*a + 2*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107.759 and -266.\nAnswer: -373.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395.9 + 370. What is q rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 5*j - 3*j + 4*j. Let a(b) = 35*b. Let s(l) = -l. Let m(t) = -a(t) - 30*s(t). Give x(m(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(84\/68) - -5)\/((-2)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - -1 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -23. Suppose r*m - 364 = -124. Solve -16*t + 13*t - m = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4463879 to the nearest integer?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112247349 to the nearest integer?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -8, -14, -20, -26?\n\"Answer: -6*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33401 = 2*m - 397*m + 28219. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129257316 to the nearest integer?\nAnswer: 11369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-795)\/135) + 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911859 is divided by 79.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2468 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 17 = c + 11, -4*i = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*w = -33, -33066*x + 33067*x = -5*w - 48 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 40*b**2 + 5 - 5 as c + m*b + k*b**2 and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34833 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022111111220102 - -210?\nAnswer: -1022111111212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -449, -1006, -1785, -2786, -4009, -5454?\n\"Answer: -111*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1)\/sqrt(6))**2*-3 + 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4100*h + 7*h**2 + 4100*h - 8*h**2. Let s(d) = 30*d**2 - 12. What is s(l(t))?\nAnswer: 30*t**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2 + 12620028*o + 12620030 = 0.\nAnswer: -1, 6310015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -587, -12 in ascending order.\nAnswer: -587, -12, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*s - 106 + 106)*(2*s - 5*s + 2*s).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + 0 - 16030\/2562 and -19\/10?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*c + 4 = 0, 5 = -x + 3*c - 4*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + (2 + -9 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 18*c - 42. Give k(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 129 = -4*f - 0*r, -82 = -2*f - 4*r. Suppose -2*w + f = -19. Suppose -m = 2*m. Solve 4*b = -5*p + w, 3*p + b - 6*b - 15 = m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18793 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwjwcmmwdcdjmjkkjdcw. What is prob of sequence mwkw?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**2 - 9*n + 52*n - 24*n - 17*n - 2*n.\nAnswer: -61*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 343\/(-14)*(-4)\/7. Suppose 4*d + 3*t = 5*t + 22, 4*t = 2*d - 8. What is the highest common factor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.07 - -12. Let h = w - -0.27. Let m = h - 0.2. What is the biggest value in 1, -1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-22)*24\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:38 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + 4*t + 204, t = -5*r + 267. Let s(n) = n**3 + 10*n**2 + 5*n - 35. Let p be s(-8). Let c = r - p. Solve c = -d + 4*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**2 - 521 + 117*v**2 - 37*v**2 - 35*v**2 + 521.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 14) to base 16.\nAnswer: -10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (24 - 44 - 16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 2. Let t be -22*((-8)\/20 + 88\/(-80)). Let x be (-198)\/t + 1*(-1 - -4). What is u(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*k - 4. Let d be (k\/6)\/((-1)\/(-15)). Solve 11 + 8 = -d*z - h, 3 = 3*z - 3*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0)*1.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140643 + -1?\nAnswer: -140644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55850361*z**3 - 3*z - 12048446 wrt z?\nAnswer: 335102166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 521789\nAnswer: -521793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*u = 166*u. Solve -5*t + 15*t + 50 = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46913\/10 - -4700. Calculate the common denominator of -41\/376 and h.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919008539?\nAnswer: 3, 7, 4637, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmdbmbwmm. Give prob of picking 1 m, 1 w, and 1 b.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/(-12)*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 771 - -4?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 26. Solve -h*b + 8 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 24*t - 53. Calculate the remainder when 95 is divided by f(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 2 - -7) + (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2885755, 3, 0 in ascending order.\nAnswer: -2885755, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1)\/(-3) + 96\/(-72).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 11 = -4*d, 0 = 2*d + 4*m + m + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580*f**4 + 820.\nAnswer: -2320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -51?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6624, -9161, -13398, -19335, -26972, -36309, -47346?\n\"Answer: -850*k**2 + 13*k - 5787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -565. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/12 + 11*a**3\/6 - 379*a**2 - 3. Calculate w(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -134\/3. Suppose 3*g - 12 + 17 = 2*d, 2*d - g = -1. Let x be d + (-23)\/(-138) + (-7)\/(-2). Which is the closest to -1\/4? (a) j (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29018531 + 10\nAnswer: 29018541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 3*p - 3. Let l(f) = 2*f**2 + 2*f + 2. Let w be -1 + (-42)\/8 - (-13)\/52. Determine w*l(g) - 4*x(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-8\/3))\/q)\/(q**(-5\/4)*q))\/(q\/q**2)**(-2\/77) assuming q is positive.\nAnswer: q**(-1333\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 317 and -2332374.2587.\nAnswer: -2332057.2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 - -207. Suppose -d*v + 2*j + 42598 = 0, 5*v - 42616 = v - 4*j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 94\/12 + (-525)\/630. Solve -2*l - 5 = -z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240042*f**2 + 228809*f wrt f?\nAnswer: 480084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 28. Suppose 2*r + 65 + 193 = b. What is the units digit of 2\/((-3)\/(r\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -122. Let f = 395 + -306. Let n = f - s. Which is the third biggest value? (a) 0.5 (b) -4\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/9, -2, -24\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*s - 32, 0 = 3*s + 3*i + i + 52. Let v be (-1)\/1 + s + 10. Let t be (-4 - 9\/v)*-3. Solve 5*y + 5*p = 0, t = -4*p - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20 = 3*d - 9, -2*s + 279 = -d + 272 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6423707 rounded to 3 decimal places?\nAnswer: 0.642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294008, 294005, 294002, 293999, 293996?\nAnswer: 293993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*f - 7 = 0, -4*f = -5*c - 1 - 23. Let h(v) = v**2 + 2*v + 4. Let i be h(-4). Let o = i + c. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4*-3\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 3, l: 1, k: 2, j: 6, q: 2}. What is prob of sequence qc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -379955*z + 89090 wrt z?\nAnswer: -379955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -36*z + 180 + 79. Solve 9*a - z*a = h + 8, -16 = -2*h + 4*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 - b - 6. Determine d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -57. Suppose -4*h - 5*l = -h - 127, -h + i = 3*l. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1273 + -798. Suppose -4*h = -481 - l. Suppose 17*u - h = 2498. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a factor of 217195574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*x + 117 = 0, -x + 6*x = -4*z - 451. Let s be 96\/21 - 5 - z\/21. Solve -s*m + 16 = 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1786.87 to the nearest ten.\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3)*(-51)\/12. Let w = 82\/15 + y. Let d = 1.6 + -2.1. Which is the nearest to w? (a) -2\/11 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - n**4 - 2*n**4)*(-2 + 2 + 2*n) + (7*n + n - 6*n)*(3*n - 3*n + n**4).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2*y - 2. Let d be (8\/5)\/((-2)\/(-15)). Suppose -d*x - 3 = -15*x. Let p be (3\/(-5))\/(x\/5). Give h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*w = 22, -t = -w - 114 + 113 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/21*4*(-7)\/3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-3 + -10 + 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1989\/5 - (95\/25 - 4). Let k = -235 + w. Is (-63)\/21*k\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000601 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*x + 14, -5 = 4*s - 2*x + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 + (-109 - (92 + -106))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 505953*a**3 - 4*a + 69379 wrt a?\nAnswer: 3035718*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - (3 + (-1 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 23 + 23)*(4*c + c**2 - 4*c + (3 + 0 - 1)*(c**2 - 4*c**2 + c**2)) to w*c + n*c**3 + l*c**2 + s and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 8a?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 + 4*q - 2. Calculate m(6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/95 + -6499\/7980. What is the common denominator of z and -33?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(484) + (sqrt(484)*1 - sqrt(484))).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -484 - 15*n - 488 - 477 + 1461 + n**3 - 13*n**2. Determine c(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -3271*b**8\/168 + b**6\/60 - 8059*b**5\/60 + 387*b**2. Find the third derivative of j(w) wrt w.\nAnswer: -392520*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, o: 2}. Give prob of picking 2 o and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.27 + -34.78. Which is the third biggest value? (a) w (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhpphkh. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 61*x + 537. Give f(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/10 - ((-14 - 140\/(-10)) + -6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at most as big as 95\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 880 - -2?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2302.495 - 0.3.\nAnswer: 2302.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*u + 3, -5*s + 3 = 2*u - 6*u. Let r(x) = -4*x + 14. Give r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b + 721 = -65*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {n: 1, h: 8, w: 4, y: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34602174 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: Is 78977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = 2*o - f, 7 = -3*o + 4*f. Let u be (-4)\/14 - (-660)\/154. Let h be u*2 + 84\/(-21). Calculate the greatest common factor of o and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5 - (0 + -1) - -6) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -1. Let u be (10\/(-5))\/(w\/(-4)). Suppose 24 + 19 = 4*j - q, -2*j + 26 = u*q. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 49*s - 6. What is the tens digit of r(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -830)\/(2\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -57, -83, -109, -135, -161?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 1}. What is prob of sequence vll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010111001010 (base 2) to base 8.\nAnswer: -232712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3720 and 4280?\nAnswer: 398040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 4*u = 0, -2*t = 2*u - 2. Suppose -t*i + 49 + 53 = 2*l, -3*i = -9. What is the remainder when 50 is divided by (-2 - l\/(-20))*35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -83) + (-2 - -5). Let a = j + -33. Let x = a + -46. Put -27, -4, -2, x in decreasing order.\nAnswer: x, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4044.4992 to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 5*v**3\/3 + 2*v**2 + 2*v + 21. Give t(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(77)\/(-6*(sqrt(11)*1 + sqrt(11)) - sqrt(11)) + -5 + 5 + sqrt(77)\/sqrt(11).\nAnswer: 2 + 12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d**4 - 514*d**3 + 680*d**2 - 152*d = 0. Calculate d.\nAnswer: -38, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1876*(8657\/4 + 1). Let s = l + -9749158. Let x = s - -10187149. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from crqjjrqegggjgqjgcqjc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r*r*r\/r**(-7)*r\/r**(-2\/9)*r\/((r*r**1)\/r))**(-47) assuming r is positive.\nAnswer: r**(-6439\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12740 and 2520?\nAnswer: 229320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 8. Suppose 2*i - 4 = 0, -f = -t - i - 2*i. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4 + 9*o - 17*o**2 + 8*o - 9 - 6. Let k be a(16). Suppose -k*x + 85 = 50. Calculate the remainder when 75 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 489*j**2 - 27985*j + 79527.\nAnswer: (j - 49)*(j - 3)*(j + 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -643.6.\nAnswer: 11584.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*h + 49 = -4, 0 = 4*a + 2*h - 88. What is the remainder when 57 is divided by (12\/(-7))\/((-3)\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 7*s + 11. Let z be j(6). Suppose -3*i + 1 = -z. Suppose i = 4*l + 2*q, -5*l - 4*q = -9*q - 75. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 403*a**2 - 600*a wrt a.\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61\/40 + -9\/8. Factor a*l + 0 + 3\/5*l**3 + l**2.\nAnswer: l*(l + 1)*(3*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1424522 - -746435. Let t = j + 418087. What is t rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4216)\/(-1581)*((-20)\/(-32) - -1)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 27 = 3. Let w = -25 - -35. Calculate the smallest common multiple of w and z*(-2)\/(-4) + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times -36.06644\nAnswer: -119.019252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -2\/3 (c) 1\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -89?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**5 - 10*m**2 - 8*m**5 + 8 - 8 wrt m?\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*u**2 - 75*u - 75*u + 11*u**2 + 150*u.\nAnswer: -165*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d + 2. Differentiate -4*l + 5 - 3 - d + 6*l with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19250738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g - 144 = -95 + 151 + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 18. Let d(h) = h + 2. Calculate -4*d(u) + i(u).\nAnswer: -6*u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -924*-6*(-81)\/(-5103)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 14787780*r - 14787783.\nAnswer: 3*(r - 4929261)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 128, 641, 1658, 3347, 5876?\nAnswer: 9413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328298281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13 + 9 - m + 4. Let k(q) be the first derivative of q**2\/2 - 7. Determine a(k(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -117, 5 in increasing order.\nAnswer: -117, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + 10*h + 1. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.248 times 79\nAnswer: -256.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86*k**3 + 16210*k - 5485917?\nAnswer: 258*k**2 + 16210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5 + 0*i**2 - 9*i**2 + 0 + i**3. Let w(a) = -a**2 - 14*a + 9. Let m be w(-14). Let f be d(m). What is the greatest common factor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70058 + 113978. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k + 0*k**2 - 1 + 11\/3*k**3. Let q(m) = 832*m - 835*m - 3 + 3. Give i(q(p)).\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 32. Suppose q = -2*y + 1. Is -6 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.692?\nAnswer: 0.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (sqrt(450) - sqrt(450)*-2)\/sqrt(9) + -3*sqrt(200).\nAnswer: -15*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 904194 a multiple of 1719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 8}. What is prob of sequence uu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388) + 1*sqrt(3388))\/((sqrt(28)\/sqrt(7) + sqrt(4))*-4).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let c(l) = l**2 + 5*l. Let u(o) = 3*c(o) - 15*m(o). Let k(x) be the first derivative of 10*x**2 + 1904. Determine u(k(w)).\nAnswer: 1200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 2*r - 3. Suppose -z = -4, i - 9 = -3*z + 1. Let p(a) = -2 + 3*a - 2 - 3205773*a**3 + 4*a**2 + 3205772*a**3. Give i*p(s) + 3*x(s).\nAnswer: 2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -747 - -741 - (-28 + -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4877, -29, 0.4 in ascending order.\nAnswer: -4877, -29, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4 + 1520*o**3 - 400346*o**2 - 6080*o + 1601352 = 0.\nAnswer: -967, -2, 2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/416 and 11\/18?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Sort l, -3, 0 in descending order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-2 + sqrt(832) - sqrt(832))*-4)**2.\nAnswer: -128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b - 26780 = -50*b + 85*b. What is the greatest common factor of 52 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 58, 205, 496, 979, 1702?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -717903 divided by -3?\nAnswer: 239301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/88)\/((-231)\/112)*(-99)\/(-18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbybvlbvbvblvvbbv. Give prob of picking 1 l, 1 v, and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 6. Let b = 7.97 + x. Let z = b + 4.03. What is the second biggest value in -0.2, -2\/7, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8146, -8145, -8144, -8143, -8142?\n\"Answer: t - 8147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/(15\/((-63)\/28*2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + (-3*sqrt(133) + sqrt(133))*-2 - 1*sqrt(133)*-3)\/((6*-1*sqrt(700) + sqrt(700))*-3).\nAnswer: 3*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/26)\/(3\/(-3))*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s + 12. Solve -3*t = 11 + s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53234 * -0.5\nAnswer: -26617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -a, a = 3*b + 2*a - 12. Suppose -f + b*f = 5*q + 165, -f = q - 47. What is the lowest common multiple of f and 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 1518890*y**2\/7 - 400882416*y\/7 - 26455939488\/7.\nAnswer: -2*(y + 132)**2*(y + 759181)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5599600 is divided by 3743.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:59 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 6 (c) -4.1 (d) -0.1 (e) 1\/36 (f) -2.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6699 (base 11) to base 3.\nAnswer: 110002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.399 - -9.881. Which is smaller: g or -0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 equal to -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 39*a**3 + 238*a**2 + 24*a - 1. Let x(l) = -61*l**3 - 357*l**2 - 38*l + 2. Calculate 8*p(s) + 5*x(s).\nAnswer: 7*s**3 + 119*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrm when three letters picked without replacement from {b: 1, z: 4, x: 1, m: 5, n: 1, r: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1981*v**6\/120 - v**5\/60 + 43*v**4\/3 - 2*v**3\/3 - 3*v**2 - 72*v. What is the third derivative of h(r) wrt r?\nAnswer: -11886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1419 + 5.8581. Let x = -0.1 + 0. Put x, v, -2\/5 in ascending order.\nAnswer: -2\/5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -524.71\nAnswer: -529.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 209*b + 26025*b**4 + 26*b**2 - 21*b**2 - 18383*b**4 wrt b.\nAnswer: 183408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 23*f**2 + 230*f + 42. Determine z(-30).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-340)*4)\/((-3)\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*l**6 - 61*l**5 - 12468*l**2 wrt l.\nAnswer: 11640*l**3 - 3660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(1\/19))*a*a**6 assuming a is positive.\nAnswer: a**(132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -1603, -469 in descending order.\nAnswer: 5, -17, -469, -1603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172145 - 49951 = -3966*y for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let v(o) = -374 + 3*o - 367 - 2*o**2 + 751. Determine -6*h(m) + v(m).\nAnswer: -2*m**2 + 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 347.3994 to 1 decimal place.\nAnswer: 347.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2435 - -17103\/7. Let n = -35 + 16. Find the common denominator of ((-2)\/(-5))\/(2\/n) and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 3, p: 4, d: 5, m: 1, v: 1}. Give prob of sequence dwmp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let h = -140 - -136.55. Let s = 1.45 + h. Which is the nearest to s? (a) -7 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38196268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/60 - 433*g**5\/30 + 15257*g**4\/4 + 79935*g**3 - 8227*g**2 - 2. Suppose w(n) = 0. Calculate n.\nAnswer: -5, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 1. Let j be z(1). Let i(s) = -7*s + 1. Let y be i(-1). Let w = j + y. What is the greatest common factor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**3 + 1 - 2*w**2 - 3*w + 0 + w**2. Suppose 3*t + m = 24, -4*m = -3*t + 13 + 11. Suppose 7 = t*p - 9. Give l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4575 divided by -52885.\nAnswer: -915\/10577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 5*p + 12, -16*f + 5*p - 8 = -14*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74273, -73909, -73545, -73181, -72817, -72453?\nAnswer: -72089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*-1*(sqrt(77) - 3*sqrt(77)))\/(sqrt(14)\/((-1*sqrt(16))\/sqrt(8))).\nAnswer: -10*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716167 is divided by 23826.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 29)*((-3 + 2 + 3)*(-4*o - 19 + 19) - 2*o - 3*o + 25*o).\nAnswer: -348*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2252 + -1521. Calculate the highest common divisor of w and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 2*m - w, 2*w + 136 = -739*m + 737*m. Is 1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 863, 1, 119, -26 in ascending order.\nAnswer: -26, 1, 119, 863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22 - 20) + -3*(-4)\/6. Suppose -3*n = 4*h - 23171, -2*n = -0*h + w*h - 15454. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 9. Let x(u) = u - 5. Let o be x(12). Let m be c(o). Suppose -7*j = -m*j - 35. Solve 4*z + j = -5*s, 2*s + 3*z + 7 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -1 in ascending order.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**5\/10 + h**4\/3 + h**3\/6 - h**2 - 3*h. Calculate d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from jppljpyypj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. Suppose -28 + 0 = -r + b*t, -3*r - 2*t = -92. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.9957 + 35. Round p to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 12) to base 14\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9021, 7616, 6211, 4806, 3401, 1996?\n\"Answer: -1405*x + 10426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 535602 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202300 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-109*n**3 + 386*n**2 - 386*n**2).\nAnswer: 218*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(6*(-20)\/(-240)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q + 9. Let z be l(9). Let d(f) = -2*f**3 - 4*f**2 + 2*f - 3. Let g be d(-4). Suppose z*v = v - g. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431 a factor of 206284936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598)*-2*4)\/(sqrt(6)\/(sqrt(12)\/sqrt(4)) + sqrt(2) + sqrt(32)*-2).\nAnswer: 44*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.032 + -27.053. Let x = g - -0.021. Let d = x - 29. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*i**3 - 11541*i**2 + 13159663*i.\nAnswer: 672*i - 23082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/40*(-20)\/(-2). Let j = x + -6. Suppose 0 = 3*v - 3*s - 42, -2*v + j*s + 3*s = -31. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/15400792 and -155\/5016.\nAnswer: 46202376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192826 is divided by 95747?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4 + 55172*m**2*s**3 + 25*m*s**3 - 371*m*s**2 + 2*m*s + 2*s**3 wrt m.\nAnswer: -24*m**2 + 110344*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 6. Let d be ((-8)\/(-16))\/((-1)\/22). Let x(n) be the second derivative of -n**3 - 17*n**2\/2 - 2*n. Calculate d*g(h) + 4*x(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - d**2 - 13*d - 12. Let o(k) = -k**3 - 2*k + 1. What is n(v) + 4*o(v)?\nAnswer: -v**3 - v**2 - 21*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4226 - -4225.99. Which is the nearest to u? (a) 0.5 (b) 12 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29618*s**2. Let r(v) = -v**2. What is r(f(m))?\nAnswer: -877225924*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -93, -207, -377, -609, -909?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 18, 5 in decreasing order.\nAnswer: 18, 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 558*w**2 - w + 7665 wrt w?\nAnswer: 1116*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04332 + -0.10332. Which is the closest to 5? (a) 12\/19 (b) n (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 727*d - 702*d - 475 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2448 and 166770?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5857 - 17363 = -10*w. Suppose -2*u - s + w = 0, -2*s + 1155 = u - 3*s. Is 61 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d + 0 + 0)*(-2*d - 2 + 2) - 5*d**2 + 4*d**2 + 0*d**2 + (4*d + d - 8*d + 3)*(6*d - 3*d - d))*(-2*d + 4*d - 5*d).\nAnswer: 27*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -14. Let v(p) = 16*p - 1 + m*p - 4*p - 2*p**2 + 3*p. What are the prime factors of v(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 2, g: 3}. Give prob of picking 1 n and 3 g.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 - (-13 + 21 - -1) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/27)\/(y*y*y**(-5)*y)*(y**3)**(-18) assuming y is positive.\nAnswer: y**(-1406\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1260 by 288432.\nAnswer: -35\/8012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30.999632 - -0.064807\nAnswer: -30.934825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 2, n: 4, g: 4}. Give prob of picking 1 r and 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -0.152.\nAnswer: 0.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**9\/15120 + w**5\/30 - w**4\/12 - 5*w**2. Let b(r) be the second derivative of g(r). Differentiate b(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 36255116 = -36261695 for j.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 3*t - 2*t**2 - 4*t)*(-122 + 122 - 161*t).\nAnswer: 322*t**3 + 322*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8250 and 6270.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) + sqrt(1300))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6195*p**3 - 31*p**2 + 98992*p + 1?\nAnswer: -37170*p - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*s - 1, -f + 0*f - 2*s = 1. Suppose 0 = t - f - 2. Suppose t = -2*y + 5*y. Put y, -3, -2 in increasing order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*-624.2\nAnswer: -14356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -910*-5\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21087 - 21089.2. Let x = 6 - 7. Which is the nearest to 1\/2? (a) x (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -15*o + 238. Let l be 6\/(o*8\/48). Solve 3*v = 3*q + 9, -3*q + l*v + 11 = 6*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -46. Let a = l + 1. Suppose -4*x - 63 = -3*k, -3*k + 60 = -a*k - 5*x. Solve -3*b - 2*b - k = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11309954 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 268*a**2 - 102*a**2 - 199*a**2 - 13 - 116*a**2 to n + m*a + o*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 36, 87, 164, 267, 396, 551?\n\"Answer: 13*v**2 - 14*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 369*f - 352*f + 51 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -508582808 > -1017165613\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23321 + 8.936550445.\nAnswer: 23329.936550445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -5*h + h. Solve 5*q - 5*t + 5 = h, 4*t - 4 = 3*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 2*v - v + (-2*v + 4*v - 3*v)*(1 - 1 - 2) + v + v + 7*v - 25*v + 10*v - 21*v - 2 + 2 + 2*v + (v - 8*v + 0*v)*(-2 + 2 + 2) to i*v + j and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104794 and -5549.\nAnswer: 581501906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) + 106\/22. Let t = 3 - 0. Suppose g*x = -4*d + 10, 0 = -t*d + 4*x - 6*x + 11. Calculate the greatest common divisor of d and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24544 - 10617. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 0*j - 2*j - j - 50.\nAnswer: -3*j - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -105*g. Let k(m) = 382*m**2. Give o(k(j)).\nAnswer: -40110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 - -2.4. Let d = k + -21. Let h = d + 23.48. Round h to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 133*p - 1316. Determine i(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 15*f**2 + 13*f - 24. Let a be b(10). What is the common denominator of 10 + -4 - (a\/(-36) - -1) and 103\/276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 7. Suppose 3*k - 5*k + 2*i - 26 = 0, -i - h = 4*k. Let w = k - -20. Calculate the remainder when 16 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298233 by -2549.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161551181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67640 and 1900.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 + -218. Let r(h) = 5*h - 2*h + 3*h - z*h. Let s(w) = w - 7. Calculate s(r(a)).\nAnswer: a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 + 220 = 8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 3\/10 (c) -84\/5 (d) -1\/25 (e) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 6*p**2 + 2*p - 10. Let v be y(5). Suppose 2*s = 7*s - v. Let t = 49 - 247\/5. Which is the closest to 0? (a) t (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 5*f**4\/4 + 7*f**3\/6 - 10*f. Find the second derivative of y(l) wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -241, -646, -1213?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-8))\/(2\/(-40)). Suppose -a = -5*j - 31 + 8, -3*a - h*j + 9 = 0. Suppose -12*v + 12 = -a*v. Solve 0 = v*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, d: 7, s: 4}. Give prob of sequence sa.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**8\/28 - 37*b**5\/20 + b**4\/6 + 891*b**2 - 508*b + 1. What is the third derivative of a(g) wrt g?\nAnswer: -240*g**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6600)\/6300*(-18)\/(-66)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*c + 3*c + 12, -5*g + c = -84. Suppose 0 = j - 12 - g. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*m - 26 = -m, 4*r = -2*m + 30. Let y(d) = -d + 5. Let s be y(r). Let b(v) = -2*v**3 - 3*v**2 + v - 4. What are the prime factors of b(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/3038809?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2410?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 242735 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 10*c - 62. Suppose -3*o + 2*h + 9 = 6*h, -2*o = -2*h - 20. Solve -c = -o*g + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:50 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38766 divided by -182.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 153. Suppose 0 = -0*g - g - h + 6, -3*g - 5*h + 14 = z. Solve -2*f = -5*u + g, 4*u - f - 4 = -0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 + 4*d**4 + d**3 - 6*d**2 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 331 - 217 = 3*m, -3*m + 12 = 0. Calculate the greatest common divisor of 60 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let r(f) be the third derivative of -f**7\/5040 + f**5\/20 + 6*f**2. Let j(g) be the third derivative of r(g). Determine a(j(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403779 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f. Suppose 0 = 4*z + 100 + 28. Let x = -26 - z. Let t(j) = 72 - 72 + 0*j**2 - x*j**2. What is t(n(m))?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(468\/(-325)))\/((-50)\/120)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120a9575 - -7?\nAnswer: -120a9569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-2)\/4. Suppose -h + 0*h + 19 = 3*l, s = 5*h - 2*l - 10. Let a be -4 + -5 - (0 + -7)*1. Put a, h, 5 in descending order.\nAnswer: 5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t**2 - 21*t**2 + 112 - 11*t**2 - 219 + 107.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120547381?\nAnswer: 19, 6344599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84745097 is divided by 3827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011896249 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.2. Let t = 0.031 - -0.069. Which is the nearest to t? (a) 2\/15 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/44*(-12)\/(-18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23610921, 47221834, 70832747?\n\"Answer: 23610913*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71554 is divided by 1193.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 180*t**2 - 14097*t + 4439. Determine s(78).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 17*u - 11. Let v = 4 - -5. Let a be b(v). Let j be (-1*(-1)\/(-3))\/((-39)\/351). Put a, j, -3 in decreasing order.\nAnswer: j, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 135, 377, 767, 1329, 2087, 3065, 4287?\n\"Answer: 4*b**3 + 38*b**2 - 24*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*c + 3*f + 98, -6*f - 9 = -c. Solve -c*r = -38*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61631660 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*p - 26 = -0*j, -22 = -2*j + 3*p. Suppose 3*z - 5*z - 8 = 3*k, 2*k = -2*z - j. Solve l + 3*i + 2 = k, 4*l + 0*i - 2*i = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 615149*q**5 + 144*q**3 - 478280951*q**2?\nAnswer: 36908940*q**2 + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70365 less than or equal to 70362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 36*m = 21. Suppose 2*i + 35 = 7*i + k, -3*i + 21 = k. Calculate the greatest common divisor of m and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*f - 2 = 0, 2*f = -0*f. Suppose 31*j + 60*j = -364. Put -2, k, j, 5 in ascending order.\nAnswer: j, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = -5*h, 110*h - 114*h + 16 = 0. Solve -2*z - 3*u + 1 = 0, -2*u + x = 3*z - 3*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437434753*u**2 + 1234408675*u?\nAnswer: 874869506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/6 - 955\/66. Let f = -5.7 - -1.3. Let d = f + 4.5. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 135*p**3 - 3*p**2 - 3*p - 1. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h - 2*t + 3*t, 0 = 4*h - 4*t - 16. Let d(g) = g**3 - g**2 - 3*g + 1. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (0 + sqrt(128))**2 - ((-2*sqrt(24))\/sqrt(12) + sqrt(2)).\nAnswer: -128 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 74, -97.\nAnswer: -97, -5, -3, -1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.29? (a) -2\/5 (b) -1\/7 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Let o be 3\/6*-8 - -9. Suppose 5*r + 3 = 4*y, 0*r - o*y = 5*r - 15. Let m(d) = r - 1 + 31*d. What is m(n(s))?\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561024\/55 - -10201. Find the common denominator of 56\/5 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5*(sqrt(14) - -3*sqrt(14)*2 - sqrt(14)))\/((4*sqrt(30)\/sqrt(3))\/sqrt(5)) + -4)*-3.\nAnswer: -45*sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 989 + -988.999524. Round o to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 1.2. Does w = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2308876 hours?\nAnswer: 13.853256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/2754 - 615\/(-648)*-1.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*h - 4, 5*h - 4*c + 2 = 4. Let p(n) be the second derivative of 1\/80*n**5 + 1\/48*n**4 - 1\/24*n**3 - 1\/8*n**h - 2*n + 0. Let p(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:48 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 20*s = 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -32, -32, -30, -26, -20, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 + 49275*y + 6561000 = 0. Calculate y.\nAnswer: -9720, -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42 times 0.01815\nAnswer: -0.7623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -122, -185, -248?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 3\/8 (c) 3 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212110120002 (base 3) to base 10.\nAnswer: -461864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 212 (c) 1\/35 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (2 - 5) + 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1512\/360*20\/14. Solve -k = -12*v + 42 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -6\/4157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f10c + 6?\nAnswer: f112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (20 + -39)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*a**2*f**2 - 4250*a**2 - 11*a*f + a + 19*f**3 + 256*f**2 - 2*f wrt f?\nAnswer: -104*a**2 + 114*f + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-2)\/(-4))\/((-75)\/(-11650)). Let w = 78 - i. Which is the nearest to w? (a) -0.04 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*p**2*z - c*p**2 - 6*c*p*z + 50*c*z - 2364*p**2*z - 41*p*z wrt p.\nAnswer: -2*c*z - 2*c - 4728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/55)\/(1570149\/249230).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 2, r: 4, u: 1}. What is prob of picking 1 s, 1 u, and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 58 - 2*c - 8*c + 8*c. Let i be t(30). What is the third biggest value in 13, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 13*q = -11*q - 37*q. Let t = -29 - -263\/9. Let w = -1.2 - -2.1. Which is the closest to q? (a) w (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9167 minus -0.536?\nAnswer: 9167.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.038? (a) -2 (b) 1\/2 (c) 7 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -74*d**3 - 2*d**2 - d. Let y be ((-2)\/4)\/(3\/6). Let r be h(y). Suppose -14 = -4*u - 6, -5*u + r = 3*x. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-28) - (-89214)\/14. Let t be 2 + -5 - c\/(-3). Suppose -374 - t = -5*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003125913 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2890*a = 5*x - 2894*a - 112, 0 = -x + 3*a + 18. Calculate the greatest common factor of x and 33816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 247?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**3*f*k**2 - a**3*f*k + 1837*a**3 + 2*a**2*f*k**2 - 934*a**2*f + 2*a - 20*k**2 - k wrt a.\nAnswer: -30*f*k**2 - 6*f*k + 11022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178 and 40?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32 + 3.68. Suppose -4*k + d = -14, 5*k + 0*d = -3*d + 26. Suppose -4*b - 4 - 1 = -y, k*b = -8. What is the closest to 2 in y, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*r - 1074*r + 2*i - 35 = 0, 0 = -i + 4 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24423435 (base 7) to base 2.\nAnswer: -1000010110111001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*3640\/(-65)*(-1)\/(-2)*5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 23244.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-10)*(p*(p\/p**(-1\/11)*p*p*p)\/p)\/p*(p*p**(-2))**(1\/10) assuming p is positive.\nAnswer: p**(-661\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2199 - -3926. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4215 and 270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 1, u: 3, l: 1, q: 3, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 16 = l - 3*y, 5 = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 - z - 4. Suppose 0 = -3*t + 12*t - 27. Suppose 0 = -5*m + w + 12, 18 = 2*m + t*m + w. Give h(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 544945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 12*n**3 - 16*n**3 + 24*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 17. Suppose -5*v - 118 = -38. Let a be -1 - ((-12)\/(v\/4) - 25). Let r be f(a). Solve -2*u + 10 = 4*s, 4*s + 5 = -r*u + 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/(1\/5). Let m = w - -8. Suppose -96*c + 97*c = -5*d + 4, 0 = d + 4*c - 16. Solve 2*o + 4 = -4*x, 0 = -x + m*o - d - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63\/76, -2.4, -4\/7, 0.5 in decreasing order.\nAnswer: 0.5, -4\/7, -63\/76, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 19. Let h = -3\/68 - 99\/68. What is the third smallest value in -0.5, h, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1147596820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-3)\/g)))**(1\/5) assuming g is positive.\nAnswer: g**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -667575 divided by 133515\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/294 (b) -1\/11 (c) 1 (d) 1\/4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 26232.\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116918.\nAnswer: 2, 53, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -1736, -2682, -3698, -4778?\nAnswer: -5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4869*v + 12898*v - 17762*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13d (base 15) in base 3?\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5740)\/20664*(-2)\/((-4)\/6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2534*d**3 + 227*d**2 - 6*d?\nAnswer: -15204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aikalitaititkittaaik. What is prob of sequence ail?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 103*y - 102*y + 86 = 0, -y - 69 = 4*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.244912*0.11.\nAnswer: 0.02694032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -332324 (base 7) in base 15?\nAnswer: -124d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201 + 7?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 37*l**2 + 852*l - 58. What is k(-24)?\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from rrrrrrmrrrrrmrrrrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/(-20))\/(-3))\/(36\/15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (10\/(-8))\/(2\/(-48)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-19)\/(f**(1\/2)\/(f*f**(1\/3)))*((f\/f**(-1\/5))\/(((f*f\/f**(-2\/9))\/f)\/f))**(2\/79) assuming f is positive.\nAnswer: f**(6101\/7110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2150 and 43\/6950.\nAnswer: 298850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*r**2 + 9*r**3 - 365*r**2 + 725*r**2.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -566 divided by 1\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + q, z - 4*q = -z + 16. Which is the third biggest value? (a) z (b) -2\/21 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1 (c) 14 (d) 4\/5 (e) -2070\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -90*w**2 - 111*w + 21. Let r(q) = 9*q**2 + 11*q - 2. Let l(s) = 4*c(s) + 42*r(s). What is the second derivative of l(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:21 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 218967?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(-11*w + 10 - 10) + (4 - 2 + 2)*(3*w + w - 5*w) + (4 - 2 - 3)*(w + 3*w - 5*w) + 0 + 1 + 17*w - 11*w.\nAnswer: 58*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18071460 divided by -90.\nAnswer: -200794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfqq when four letters picked without replacement from {x: 2, e: 4, f: 2, q: 4, s: 1, g: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*c + 42, 2*g = -3*c + 31 + 32. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73971*q = 73982*q + 55, -2*r = 4*q + 74 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**3 + 127*o**2 + 4*o + 2. Let f(s) = -10*s**3 - 126*s**2 - 5*s - 2. Determine 5*f(n) + 6*l(n).\nAnswer: -2*n**3 + 132*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.7, -107, 27, -6\/7, -0.21?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -1\/60*f**6 + 2*f - 1\/40*f**5 + 0*f**2 + 0 + 1\/24*f**4 + 1\/12*f**3. Factor i(l).\nAnswer: -l*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 21*j - 124. Let c be d(27). Solve -7*i = -c*i + 93 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(91) + 4*sqrt(91) + sqrt(91)))\/(sqrt(56)\/sqrt(2)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 122921341*u\/6 - 15365168.\nAnswer: (u + 30730336)*(4*u - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-3 + 4) + 14 + -5. Solve 0 = -t*w - 3*f - 8, -2*f + 0 - 7 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 7 = m*z - f, -2*f + 1 + 5 = 0. Suppose -1 = -z*l + 1. Solve -20 = 5*q, 25 - l = 4*r - 4*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q + 4. Let a be ((-11)\/11)\/(1\/(-7)). Let v be n(a). Let s = v - -109. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12356, -12358, -12360, -12362, -12364?\nAnswer: -12366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-24))\/i)\/((i\/(i\/(i\/i**(-1\/13))*i))\/i*i))\/(i\/(i\/(i*i**(-1\/3))))**(1\/33) assuming i is positive.\nAnswer: i**(-31013\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11186*a*g**3 + 3756595*a*g - 3*a - 509*g**4 - 2*g + 5 wrt g.\nAnswer: -67116*a*g - 6108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20211210221 (base 3) to base 10.\nAnswer: 134728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 3.82. Let l = 3.9 + r. Which is the nearest to 0? (a) -3\/7 (b) l (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -229 (c) -15\/23 (d) -1086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w + 3. Let b be a(6). Let p(m) = -2*m + 18. Let x be p(9). Suppose b*g - 3*v + 2*v = 92, x = 2*g - 2*v - 68. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3663, 0.03, 47?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138238908.\nAnswer: 2, 3, 19, 606311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 4*d**2. Let v(m) = -10*m**3 + 11*m**2 + m + 1. Let n(z) = -2*v(z) + 7*x(z). Let w be n(5). Suppose 0 = w*t - 8*t - 50. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4639077568.\nAnswer: 2, 29, 151, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9811, 19866, 29911, 39940, 49947, 59926, 69871, 79776?\nAnswer: 89635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -575.986 from 10.\nAnswer: 585.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741.\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + -23.75. Let f = -23.92 - m. Let q = 0.12 + f. Which is the closest to 2\/7? (a) q (b) -4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - x)*(22117 - 181183 + 64808 - x + 20000).\nAnswer: -2*x**2 - 148516*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 92 = -19. What are the prime factors of (b\/3)\/(1 - 8\/10)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, 8 in decreasing order.\nAnswer: 8, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 1, z: 3, n: 2, g: 2, o: 7}. Give prob of sequence azg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**7\/2520 - h**6\/720 - 7*h**5\/60 + 17*h**4\/6 - 108*h**2. Let y(c) be the second derivative of a(c). What is y(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 3)*(-1 + 1 + 1) + 1 - 5 - 1)*(t + t**2 - t) to the form q*t + d + k*t**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42252576 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 280*y - 1524. Calculate i(6).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-9 + 11 + 6)) + -5 + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605)*1 + sqrt(605))*2*5.\nAnswer: 660*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16206 + 16630. Calculate the remainder when z is divided by 216.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*c = -234*c - 3877632. Is c a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*m + 2, 0 = -5*f + 745*m - 742*m - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:05 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h - 18. Determine s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373.000157 + -373. What is h rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkmkkmsssksms. What is prob of picking 2 s and 2 k?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b - 4. Let p(t) = -83*t**3 + 16*t**2 + 3*t + 72. Let c(s) = -p(s) + 4*y(s). What is the second derivative of c(v) wrt v?\nAnswer: 498*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (93\/(-124))\/(9\/(-84)). Let x(s) = 4*s**2 - 20*s - 47. Let u be x(z). Suppose 0*v - 3*v = -18. Calculate the highest common factor of u and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u + 1. Let w(s) be the third derivative of s**5\/30 + s**4\/8 + 3*s**2. Let g(t) = -k(t) - w(t). Give g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -77.91. Let w = 0.08852 - a. What is w rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.1, -5, 9, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11566325 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 4*r**2 - 31*r + 53. Determine y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:05 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -109*q**2 + 5*q + 9. Let o(a) = 221*a**2 - 9*a - 18. Calculate 5*c(y) + 3*o(y).\nAnswer: 118*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 608*s - 6557. Determine m(7).\nAnswer: -2301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5963 * 5\nAnswer: 2.9815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 140 = 3*k - 50, x + 2 = 0. Which is greater: 80 or k?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:50 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3205275 bigger than -3205275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 5, k: 1, f: 2, r: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 231? (a) -0.04 (b) -2 (c) -3 (d) 552\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e5e - -2?\nAnswer: e61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(-9)\/6. Let v be c + 5 + 90\/(-15). Is v\/2 - (-75 - -13) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4\/7 + 1896*r**3\/7 + 5706*r**2\/7 + 816*r + 1905\/7 = 0.\nAnswer: -1, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/540 and -145\/191388.\nAnswer: 8612460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419.7 - 1368953.1.\nAnswer: -1369372.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(54)\/sqrt(3))\/(4*-6*sqrt(9)).\nAnswer: 5*sqrt(2)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2 (b) 343.85 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o + 4*p - 7 = 0, 4*o + p = -45. Let b = -7 - o. Suppose -b*a - 21 = -5. Sort 3, a, -3.\nAnswer: a, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*n - 2, 1 + 1 = -4*n - 2*i. Let g be -7 - 20*(-7)\/14. Let y be (4 + -8 + g)*(8 - 10). Solve n = 2*x + y - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3\/3 + 2818*u**2 + 368456*u\/3 + 120002 = 0.\nAnswer: -2069, -87\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/21 and -21\/79 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u - 1. Let i(g) = 25*g + 612. Calculate i(c) - 2*w(c).\nAnswer: -7*c + 614","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*o**4 - 794*o**2 + 790*o**2 - 5*o**3 + 4*o**3 to the form v*o**3 + r*o**2 + g*o + k*o**4 + w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4057564 and 11432873?\nAnswer: 7627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 849, 979, 895, 591?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 879 = 1331. Let m(u) = u**2 - 5*u - 3. Calculate the remainder when i is divided by m(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/704)\/((-72)\/(-132))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1776*h - 9. Let s(k) = 5329*k + 24. Determine -11*q(o) - 4*s(o).\nAnswer: -1780*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 4*z - 8, -29*z + 34*z + 18 = -29*o + 62 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/75 - -1\/75. Let v = -1.77167 + -13.22833. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9 + -9.1. Let m = o - -12.99999918. What is m rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -101, 1, -5 in increasing order.\nAnswer: -101, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 24125.13cm?\nAnswer: 241251300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3 + y**2 - 2 + 2*y + 6. Let d be m(-2). Is 5 - d*(1 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 88 = -17*r. Let v be (r + -4)\/(2 + -1). Solve v*z = -4*x - 4, -4*z - 32 = x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 5*x - 8 = 0. Let l(s) = s - 3*s + s - x*s. Let w(v) = 10*v. Let j(i) = 7*l(i) + 2*w(i). Let u(n) = -24*n. Give u(j(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 - u + 2. Let m(d) = -d**3 - 24*d**2 - 6*d + 12. What is -m(y) + 6*s(y)?\nAnswer: 7*y**3 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c + 1146 = 59*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2200 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let h be p(-4). Let x be (-30)\/4 + 1\/h. Let k(n) = n**2 + 6*n + 8. Let s be k(x). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2 + 2*k**2 - k - k - 4*k + 4*k. Let q be f(2). Is q*-3*39\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*w**2 + d**2 - 45*d*w**3 - 9*d*w**2 + 6688*d*w - 2*d wrt w?\nAnswer: -2*d**2 - 270*d*w - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14652 + -6526. Does 51 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*n**3 - 5*b*n**2*o**2 + b*o + n**3*o**2 + n*o - 3*n + o**2 wrt n.\nAnswer: -12*b*n - 10*b*o**2 + 6*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 32. Suppose -5*a = -116 - m. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 4*b**2 - b - 17. Does 42 divide l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*t**5 - t**2 - 2 wrt t.\nAnswer: -3120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(604\/(-4077))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 + -378. Suppose 3*d = 5*l + 7, 0 = -5*d + 7*d - 3*l - h. Solve -7 = -11*k + d*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**0\/g)*g*g**(-2\/25))\/(g**(-8)\/g*g*g\/(g*g\/g**(-2\/3))))**(-13) assuming g is positive.\nAnswer: g**(-13247\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*u - 44, -661*j + 142 = 14*u - 658*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4385 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 45 + -2 + 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.391 - -0.191. What is the nearest to -0.1 in -3, -0.01, z, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21476201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298 - 483. Let j = r - -227. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let n(p) = 4*p**2 - 2*p + 1. Let l be n(1). Suppose 0 = -x + 5 - l. Let m(b) = -2*b**2 + b**2 + 6*b**x. Give m(v(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1498? (a) -5\/4 (b) 3 (c) -5 (d) -1 (e) -8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + 11 + -16 + 4 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {t: 3, r: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1042 + 733. Let g = c - -831. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122613 - 1.6.\nAnswer: -122614.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 84545*g + 8153820.\nAnswer: 5*(g + 97)*(g + 16812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 6)*(-3 - -1). Sort 0, v, -3.\nAnswer: -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9446.\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114984 or 115038?\nAnswer: 114984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose o = a + 3. Calculate the least common multiple of (2 + -3)\/(a\/15) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803629 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -31*l + 3703. Calculate a(116).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-14) - 13\/2. Let o(c) = 8*c**2 + 5*c + 1. Let l(g) = -7*g**2 - 4*g - 1. Give a*o(r) - 7*l(r).\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/175)\/(1\/(340\/867))?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -44*d**2 + 1. Let t(v) = 3*v. Determine c(t(z)).\nAnswer: -396*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 163, 352, 613, 946, 1351, 1828?\n\"Answer: 36*x**2 + 9*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 11.04. Let f = 10.55 - d. Round f to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -2.9, -1\/3, 0.2 in decreasing order.\nAnswer: 0.2, -2\/19, -1\/3, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040388 to 7 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/6 - 5*h**4\/2 - 83*h**3\/6 - 209*h**2\/6 - 40*h - 50\/3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (0 + sqrt(612))) + 2 - (sqrt(1700) - (sqrt(1700) + 0) - sqrt(136)\/(1*sqrt(8))) - (6*sqrt(68)*-3 - sqrt(68))\/(sqrt(4) - sqrt(256)*-1))**2.\nAnswer: 112*sqrt(17)\/9 + 13652\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.40776 to zero dps.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2268.3 - 2262.3. What is the fourth smallest value in -7, -0.3, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(3*-2*sqrt(242) - sqrt(242))\/sqrt(11))\/(1*sqrt(132)\/(sqrt(12) - 1*(sqrt(12) + sqrt(24)\/sqrt(2)))))**2.\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 836*c**2 + 4230*c.\nAnswer: -2*c*(c - 423)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 21*r**2 - 21*r + 21*r in the form p*r + t*r**2 + n and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15428596797\/3388108 + -2\/847027. Let h = 4579 + s. Let c = -718\/3 - -5675\/24. Find the common denominator of h and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3909 - 3379 = -2*f + u, 0 = -2*u + 4. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5)\/((-122)\/1830). Solve -9*i = -15*i - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(1 + 11\/(-12)). Let j = 0.4 + 0.1. Let o = -2.5 + j. Sort o, t, 4\/5 in increasing order.\nAnswer: o, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -154, -223, -292?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34390282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3238.316mm?\nAnswer: 323.8316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 2)*(2 - 15 + 5)*(2*j - 3*j - j).\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-51030)\/(-540))\/(278\/136 + -2). What is the greatest common factor of i and 567?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68718 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -203175.\nAnswer: -1015875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cctt when four letters picked without replacement from ttcttttttctt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*w + 12, -i - 5*w = -3*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k**3 - k**2 + k. Let j(o) = o**2 - o + 1. Let x(v) = -v**3 - 5*v**2 + 5*v - 5. Let y(m) = 15*j(m) + 3*x(m). Give 2*p(n) - 9*y(n).\nAnswer: n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 5*h + 47 - 5 + 15*h - 9*h.\nAnswer: h + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1489?\nAnswer: 8934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -9. What is the remainder when 31 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8244116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1085 = r, -5*r - 3*h = -4*h - 5470. Let b = 1882 - r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839391613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 0*l**4 + l**4 + (1 - 3 + 4)*(-4 + 4 - 5*l**3)*(-144*l + 51*l - 306*l).\nAnswer: 3992*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 10 = 5*s + 26*k, -s = 5*k + 6. Suppose 16 - 4 = 4*f. Let 4*o**2 + 11*o**f - 3*o**3 - s*o**3 - 4*o - 4 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/868759 and -97\/165668.\nAnswer: 288427988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599244 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*z + 60*z + 19844. Let u = -892 + z. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -919 - -846. Is o greater than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-375)\/250*1\/(6\/76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 8*d + 6. What is q(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10955*m = -10973*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 19*q - 17. Give m(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 11*g + 3. Let o be w(11). What is the third derivative of o*q**2 - 35*q**3 - 3*q**2 - 35*q**2 wrt q?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -x - 3*x + 12, 0 = -x + 3*d - 3. Solve -m = h - 0*h + x, -22 = 4*m + 3*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17079 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -227?\nAnswer: 4\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 4*j. Let f be i(3). Let n(x) = -x - 7. Let y be n(-12). Calculate the highest common divisor of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/30 - 71*v**3\/15 - 71*v. Factor u(m).\nAnswer: 2*m*(m - 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14*f + 11*f = 204, -2*h + f = -104. Let q be (-3)\/(-6)*(0 + 0). Suppose 3*t = -q*t + h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1076.\nAnswer: -1\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Suppose 16*y - 29 = -1053. Let n be y\/8 - ((-3 - -1) + -2). Which is the nearest to -1? (a) n (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)*a\/a**11)\/(a\/(a\/(a*a\/(a*a**12)))*a*a**(-16)) assuming a is positive.\nAnswer: a**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185 and 99160?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -3. Let k = n - -8. Let i = k + -2. Solve 2 = s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Suppose -g = 3*g - 16. Suppose 0*p = 2*p + g. What is the units digit of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3440 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -14078, 1 in descending order.\nAnswer: 4, 1, -2, -14078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35058 (b) -984 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5*o**4 - 6)*(-3*o - 4*o + 3*o) - 2*o**5 + o**5 + 0*o**5.\nAnswer: -21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c. Let w(v) = -416*v**2 + 6*v + 9. Give y(w(b)).\nAnswer: 2080*b**2 - 30*b - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/8 - 24*n**2. Let s(v) = 9*v**2. What is s(g(m))?\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbccezzccczzee. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168899362.\nAnswer: 2, 61, 67, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 1, 0, 5, -0.15, 8?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47225044117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb520 (base 16) to base 4.\nAnswer: 3023110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u**2 - 16300 + 16300 + 64*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 times 3.1614\nAnswer: -0.0221298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:44 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.9459 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcqcqqzqzq. What is prob of sequence cqz?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + (-75)\/10)*842. Which is bigger: -1265 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 18. Suppose 0 = q + 5*g - 0 - 6, -4*g + 4 = 0. Let p(k) = 8*k**2 + 2*k - 1. Let t be p(q). What is the greatest common factor of l and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 + -1) - -150. Let d be 27 + (-21)\/(-9) + 88\/132. Calculate the greatest common divisor of d and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -3\/2, -0.3, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q - 1\/2*q**2 + 16. Let v(b) = -3*b**2 - 5*b - 6. Calculate v(x) - 6*y(x).\nAnswer: -3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 14. What is q(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2857*o**6 + 2*o**4 - 2828*o**2 wrt o?\nAnswer: 342840*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j - 18. What is the remainder when 40 is divided by p(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -109?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 9*s**2 - 10*s + 2. Let n be f(10). Let i be (-1)\/1 + 1812\/n. Suppose 5*a + 360 = 2*d + 4*a, 5*d - i = 5*a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 12198 + 1683 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let o(w) = 51177*w**2. Calculate o(z(k)).\nAnswer: 51177*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -19 - (8 + (4 - (-11 + 26)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from kkkknhkkuhnn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxx. What is prob of sequence xxw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -1. Suppose -4*p + m = -23, 4*m - 6*m = -2. What is the derivative of -i*k + 3 - k - 6*k + p wrt k?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 1, -5*i - 13 = 2*o - 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9817 - -0.0183. Put 1\/6, -0.1, -2\/9, v in decreasing order.\nAnswer: v, 1\/6, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -62, -0.5, 205.6, 16.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53.4 and -2.\nAnswer: -55.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114564722?\nAnswer: 2, 57282361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z**2 + 0*z**2 + (0 + 0 + 2*z)*(-1 + 1 + 2*z))*(-10 + 10 + 4*z**2).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 19*v + 1876 - 1876.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12 - 10 + 9*x**2 - 26 - 3 + 5*x - x**3. Let b be z(9). Solve -3*v + 14 = -0*v + 4*l, 4*v + b = 2*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 2, m: 1, i: 4}. What is prob of sequence hh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:36 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-20)\/8)\/(6\/(-12)). What is the nearest to 1\/2 in -26, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*f = 272*f + 318 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 2*b**3 - 2*b**3 - 28*b**4 + 21*b**4 - 23*b**4 + (0*b + b**3 + 0*b)*(3*b + b + b).\nAnswer: -26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*h + 6 - 666, 249 = -2*o - 3*h. Is o <= -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35185256843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001352935702 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = -11*x + 276. Let y = 60 + x. Solve y*m - 18 = -2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*t + 16 + 65*t - 16 + 25 in the form v*t + i and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.36 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1360 - -1523. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r + 30. Give k(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/123)\/(10\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-30)\/(-25))*204\/15. Calculate the highest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*25\/30 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**14*f)\/f*f)\/f*f)\/f**(-23))\/(f\/(f*f**11*f*f)*f*f\/((f*f\/f**(-4\/3))\/f)) assuming f is positive.\nAnswer: f**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1469.9679 months to decades.\nAnswer: 12.2497325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100 - -78 - -29) + (14 - (0 - 2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2477 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 minutes after 8:36 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 19*a + 74. What is the least common multiple of p(-17) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 84*m - 802. Determine c(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 484 - 314. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -17.7. Let o(p) = -2*p**2 - 8 + 0*p**2 + 2*p**2 + 8*p - p**2. Let w be o(7). What is the biggest value in 1, l, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -1278246 in descending order.\nAnswer: 1, -1, -1278246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 34*u + 279. Let k be s(14). Suppose y + 0 = 2. Sort k, -3, y, -5 in ascending order.\nAnswer: -5, -3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-1000 - -989 - (-1 + 12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/300*-5)\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/3)*o*o**(1\/6))\/((o\/(o\/((o*o**(-1\/2))\/o)))\/o)**39)**(-41) assuming o is positive.\nAnswer: o**(-2501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 1216156*b**2 - 92439105440*b - 92440321600 = 0. Calculate b.\nAnswer: -1, 152020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oigmifgfiggfffifggii. Give prob of sequence fg.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*f**5 + 78400*f**4 + 20099155*f**3 + 35999410*f**2 + 19172020*f + 3193240 = 0.\nAnswer: -194, -1, -2\/5, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(36\/15))\/((-30)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.737 rounded to 1 dp?\nAnswer: 30.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let f(j) = j**2 - 2*j - 14. Let p be f(5). Let a(i) = -4*i**2 + 147*i**3 - 3 + p - 146*i**3. Calculate a(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210222023 (base 4) in base 3?\nAnswer: 202221120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/10*x**5 + 0 + 0*x**7 + 0*x**4 + 0*x**3 + 0*x + 0*x**6 - 4*x**2 - 1\/42*x**8. What is the third derivative of l(q) wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:05 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/15 - 2)*6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(15\/4)\/w**12)\/(w\/w**(-4\/9)*w*w*w\/(w\/(w\/w**(-5\/8))*w)) assuming w is positive.\nAnswer: w**(-887\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36602057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35451691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**6\/360 + 5*o**3\/3 + 5. Let s(l) be the third derivative of c(l). Let m(a) = 5*a**2. Give s(m(f)).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1382*q**3 + 1379*q**3 - 2769*q**3 - 1.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1144 and 1672?\nAnswer: 21736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12556639 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2014 + 20123\/10. Let t = 9\/5 - o. Is t equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) -1\/119 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - ((-153)\/(-18))\/(-17)) + (-262)\/(-104). Which is the biggest value? (a) -4\/7 (b) t (c) 1 (d) -4\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p + p)*(-2*p**2 + 2 + 6*p**2 - 6*p**2) to z*p + b*p**2 + j + a*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 1. Suppose 0 = -0*o + o + 2. Let p(c) = 11*c + 9. Let q(n) = o*p(n) + 18*b(n). Let t(w) = 3*w. Determine t(q(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, q: 1, w: 3, g: 2, s: 1}. What is prob of sequence sll?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + (sqrt(192) - (5 + sqrt(192)*-2) - sqrt(192)))**2 + 3 + sqrt(3) + 2*sqrt(3) + 3 + 0).\nAnswer: -279*sqrt(3) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let i(h) = 3*h**3 - 37*h**2 + 14*h - 1. Give 7*c(q) + i(q).\nAnswer: 3*q**3 - 37*q**2 + 21*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2449\/5 or -490?\nAnswer: -2449\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6945 - 1587 = 67*n - 10*n. Calculate the remainder when 447 is divided by n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-2 + 1 + 3)*(-1945034 - 475*j - 9*j**2 + 1945033 + 4*j**2) in the form v + y*j**2 + l*j and give l.\nAnswer: 1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y + 5*y + 4*y + 0*y + y**2 - 4. Let l be b(7). Factor -1\/2*i**4 - i**l + i + 0*i**2 + 1\/2.\nAnswer: -(i - 1)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1167 - 1167. Solve 0*m**3 + m**2 + s*m - 1\/2*m**4 - 1\/2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddds. What is prob of picking 1 s and 3 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 divided by 8?\nAnswer: 395\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -12, 20*c = 20195*t - 20196*t - 74 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5950747, -11901499, -17852249, -23802997?\n\"Answer: i**2 - 5950755*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -481666607*h - 449941333?\nAnswer: -481666607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 667.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 48.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3\/3 + 2*q**2 - 7*q - 5. Give y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 366725.1.\nAnswer: 7334502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*c + 55*c + 63 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + 59*w**2 - 59*w**2 + (w**2 + w**2 + w**2)*(-2*w + 4*w + w) - 5*w**3 + w**3 + 2*w**3 as u*w + y + j*w**2 + x*w**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + sqrt(1800)*2)\/sqrt(9)*-4.\nAnswer: -120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -20*(-4 + 68\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.0618, 1\/2, 1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 19983145.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 18\/5, 2.1, -2\/9?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*12\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from xxqxfffjfqfj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11230, -22460, -33690, -44920?\nAnswer: -56150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4542 * -0.11\nAnswer: 499.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6753865?\nAnswer: 5, 1350773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 - 1\/2*s**2 - 7*s + 1\/24*s**4 + 1\/12*s**3. Factor d(z).\nAnswer: (z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q + 8. Give x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(2\/11)*n\/n**(-1\/6)*n**(-2\/9)*n*n*n**(-3\/7) assuming n is positive.\nAnswer: n**(5125\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1894679.\nAnswer: -568403.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.63 - 0.3. Let t = c + 0.93. What is the closest to t in -1\/2, -2\/5, -1\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*d - 8 + 8 + 84*d + 0*d - 4*d + 3*d + (3 - 3 - 1)*(4*d + 2*d - 4*d).\nAnswer: 161*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a - 2. Determine v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1977*q**4 - 137*q + 11.\nAnswer: 23724*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157780151.\nAnswer: 139, 709, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 53746.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19.41? (a) 7\/12 (b) -36 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h = -40*h - 27072. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/105)\/((-1)\/((-16)\/8)*-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4137.7318 + 150.4132. Let o = k - 4503.1579. Let f = o + 215. Round f to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2960 + -3026.18. Let o = f - -66. Which is the smallest value? (a) o (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 8*h**4 + 5*h**3 - 14*h**2.\nAnswer: h**2*(h - 1)*(h + 2)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1058.9, -1\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from titttitititiiet. What is prob of sequence iti?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4507993 - 278756936.\nAnswer: -274248943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h + 2. Let g be t(3). Let u(c) = g*c**3 - 2*c**2 + 2*c + 5 - 2*c**2 - 1 - c**3. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -305 or -307?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + 45 + -30 + -55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 465648801 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4313\/3 + 1437. Is -20 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 + 6*i + 3. Let a(y) = 5*y**2 - 1. Let t be a(1). Suppose -2*h + 5*g = 3*h + 15, 0 = t*h + 4*g + 28. Calculate s(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3017\/10 + -229467\/760. What is the common denominator of 67\/8 and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:30 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6 times 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/5)\/(3\/(-15)). Sort -2, c, -4 in ascending order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10290869, 10290871, 10290873?\nAnswer: 10290875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325*a**3 + 4*a**2 - 49*a + 13 wrt a.\nAnswer: -1950*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6016, 12182, 18500, 24970, 31592, 38366?\nAnswer: 45292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:37 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from iw.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 + s**3 - 6*s**2. Let j be f(0). Calculate the highest common factor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60080\/(-6008)*(1\/(-5))\/((-3)\/18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4750 by -2375.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100100110100010011 (base 2) to base 11\nAnswer: -a3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1080 - -3211\/3. Calculate the common denominator of (1 - -1)*1258\/(-408) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 - 50*d**3\/3 + 6128773*d**2.\nAnswer: -d**2*(d - 4263)*(d + 4313)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Let d(q) = -q**3 + 6*q**2 + 2*q - 1. Let o(z) = 3*z**3 - 13*z**2 - 4*z + 2. Let x(i) = -5*d(i) - 2*o(i). Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2813040*t**3 + 23289*t - 119 wrt t?\nAnswer: -16878240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 29. Let t = -14 + r. What is the nearest to t in -2\/11, -0.3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 21*t + 50. Let b be a(-4). Solve 4 = -b*c + 46 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 9. Let a be c(8). Let f = a + 3. Solve -f + 11 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 3:05 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*a**2 + 10 + 13*a**2 - 60*a**2)*(-2*a + a + 4*a)*(-2*a + a + 0*a).\nAnswer: 66*a**4 - 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*b + 2 - 50 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v + p + 17, 0 = 5*v - 2*p - 14. Suppose 0 = 3*z + v*n - 16, 5*n + 58 = 4*z + 3*n. Calculate the remainder when 81 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.57543 litres to millilitres.\nAnswer: 4575.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r + 60. Differentiate -31*p + 5 + r*p**2 + 31*p with respect to p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Let u(c) be the third derivative of -c**4\/4 + c**3 + 2*c**2. Let f(s) = 14*h(s) - 2*u(s). Suppose -g = -5, -a - 3*g = -2*a - 11. Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 3 (c) 15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 0*t**2 - 11*t**2 - 1 + 10*t**2. Let l be k(5). Which is the biggest value? (a) l (b) -1 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiagawaasasasaaiawa. Give prob of picking 1 i and 1 w.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3110 and -77\/6.\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 10*r**4 + 70078*r**3 + 127789256*r**2 + 17396589560*r + 13835522400 = 0.\nAnswer: -3430, -147, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*c**3*k**2*l + 35*c*k*l + 2*k**2 - k*l wrt c.\nAnswer: -1620*c*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/6)*s*s)\/s)\/s)**(-7\/11)\/(s**(3\/13)\/s**16) assuming s is positive.\nAnswer: s**(12893\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from jjhdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**3 + 4*v**2 + 3*v**3 - 6*v**2 - v**3 - v. Let z be g(-1). Suppose -d - 37 = -4*k + 7, d = z*k - 54. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {m: 3, p: 9, z: 2, d: 1, t: 1, j: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91123, -364511, -820157, -1458061, -2278223, -3280643?\n\"Answer: -91129*p**2 - p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*y + 29*y**3 - 228*y + 384*y.\nAnswer: 29*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 16*d**2 + 42*d + 56. Give y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57505885 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 11. What is c(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041317168 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724482.\nAnswer: 2, 862241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b34 + 2c?\nAnswer: 2b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.3, -2\/43, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.21\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o + 6 - 688*o**2 + 323*o**2 + 368*o**2 as v*o + p*o**2 + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952 = -5*d - 0*r + r, -1956 = -5*d + 3*r. List the prime factors of d.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 10) in base 15?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423627 divided by 3?\nAnswer: 1141209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -4, 0.56 in ascending order.\nAnswer: -4, -1\/5, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-36)*42\/(-91)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 255. Let k(m) be the second derivative of -m**3\/6 + 2*m + 202. Calculate y(k(q)).\nAnswer: -q - 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 + 3*s**4 - 2*s**3 - 6*s**2 + s + 3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61417217, -122834433, -184251649, -245668865, -307086081?\nAnswer: -368503297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 4. Let x(k) = 4*k + 5. Determine -5*f(h) + 4*x(h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1516*p**2 + p + 7 - 3041*p**2 + 4 + 1504*p**2 - 2. Let h(q) = 11*q**2 - 4. Calculate 2*c(u) + 5*h(u).\nAnswer: 13*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + p - p)*(-2*p + 3 - 3)*(-22 + 6 - 22 - 1 + 3 - 5 + (-5 + 2 + 2)*(-1 + 1 + 2)) in the form u*p**2 + y + i*p and give u.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 2 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 567, 1228, 2139, 3300, 4711, 6372?\n\"Answer: 125*i**2 + 36*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110.5 - -110. What is the fourth smallest value in a, 2\/3, 3, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10531\/668 + 5\/334. Let a = 15 + n. Let t = 2.05 - 2. What is the closest to -1\/2 in a, -2, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.193*-8879.03.\nAnswer: -1713.65279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44446188989.999999372 - 44446188905. Let r = 85 - w. Round r to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964, 1967, 1970, 1973, 1976?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 2*p**4 + 7*p**3 + 4*p**2.\nAnswer: -p**2*(p - 4)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101663231?\nAnswer: 41, 73, 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 22. Let t be j(9). Solve -t*z + 0*z = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155800175 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*l = -93*l - 70 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**8\/3 - 43*q**5\/20 - 18*q**2 + 17. What is the third derivative of c(a) wrt a?\nAnswer: -6720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let x be (-4)\/(-16) + o\/(-56). Let q be 2\/(-16)*1\/((-6)\/(-12)). Do q and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzzjujuzzezzjjje. Give prob of picking 2 z.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56.43 - 65.43. What is the third biggest value in 0.1, x, 0.2, -1\/8, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 - -182. Let p be (-3 + -5 + r)*-4*1. What is the greatest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3747 + -145)\/(-28) + -229?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20137 is divided by 5026?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - p)*(0*p + p - 3*p) - 217 + 23*p**2 + 217)*(p - p + 5*p + (5 - 5 - 2*p)*(0 - 1 + 3)).\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 86 - 38 = 0. Let j = -22 - m. What is the remainder when 43 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*h*w**2 - 12227127*h - 86291*w**4 wrt w.\nAnswer: 276*h*w - 345164*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w**2 - 7. Let m(l) = 13*l**2 - l - 6. Let n(u) = -6*c(u) + 7*m(u). Give n(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 - 5 = 0. Let s be 2\/(-3) + h\/9. Suppose 5*r - 125 = -s*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6538 - -6540. Let p(t) be the first derivative of -1\/5*t**5 - 4*t**u + 0*t**3 + 0*t**4 + 0*t + 12. Find the second derivative of p(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 68*j - 2010. Let d be w(30). What is the closest to -1 in -3\/4, d, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c4b (base 13) to base 5\nAnswer: 201420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.18 and -1332.91.\nAnswer: -1338.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12936 + -12979.076. Let b = d - -0.076. Let y = -43.4 - b. What is the smallest value in 5\/2, -1\/6, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5730061 - -9642979.\nAnswer: 15373040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from loovlrffoo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**5\/5 + 8585*g**3\/3 + 2105*g - 9047. What is the derivative of w(l) wrt l?\nAnswer: 4*l**3 + 17170*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 222 = -2*i + 204, 3*i - d + 17 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-9 - 3)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 71543727.\nAnswer: -214631181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22313103 (base 5) to base 7.\nAnswer: 1452656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175 (base 9) in base 16?\nAnswer: ed2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8444166449.\nAnswer: 73, 1657, 69809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(29\/4)))\/b)\/b*b**(16\/5))\/(b*b**(5\/4)*b**21\/b) assuming b is positive.\nAnswer: b**(-283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-24) + (-1910)\/(-8). Let b = 4081 - 3842. Is m bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 30 = -3*u - 12*y, -12 = 3*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1473039 and 1335.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 7*i**3 + i**2 + 4*i**3 - 2*i**3 - 9*i**3 + 125*i to y*i**3 + m*i**2 + s + x*i + f*i**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-125)\/(-1100)*(-3)\/((-3)\/2)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2780 + -2779.6. What is the nearest to -2 in -4, u, 16, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*k = 781, 2*m - 7*m - 2*k = -1270. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 + 4 - 9*y**2 - 71*y**3 + 87*y**3 to k*y**2 + s*y + v + n*y**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.4, 1\/2, 3\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71848424711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30)*24\/27*-3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*m**2 - 2*m + 329?\nAnswer: -224*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507564.\nAnswer: 2, 3, 239, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3*z - 1. Let y(p) be the third derivative of -p**5\/30 + 7*p**4\/24 + p**3\/3 + 6*p**2. Let a be y(4). What is m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40124969.\nAnswer: 79, 463, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/168 and 11\/3834400?\nAnswer: 80522400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42942482 + -77542482. What is x rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277267999222 plus -1.5?\nAnswer: -277267999223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 2. Sort 3, 5, 0, x in ascending order.\nAnswer: x, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/132)\/((-2)\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-117)\/24 + 19\/(-152))\/(1 + 0). Let g(n) = -41*n**3 - 2*n**2. Let m(d) = 81*d**3 + 5*d**2. Calculate r*g(y) - 2*m(y).\nAnswer: 43*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + 4*(sqrt(70) - (1*sqrt(70) - sqrt(70))) - sqrt(70)))\/sqrt(10).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let z(l) = -236*l**2. Calculate a(z(s)).\nAnswer: -55696*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3207 - 288.5.\nAnswer: -3495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 136 = -35*n. Let 0*j**2 - 1\/6*j**5 + 0 + 0*j + 1\/6*j**3 + 0*j**n = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 9*t + 5. Suppose 2*x - 5*c = -2*x + 3, x = 2*c + 3. Let h be z(x). Suppose -6 + 13*q - h*q - q**2 - q**2 = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -150. Is (-16422)\/(-4) + (-24)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*s + 939 + 16285 - 3046 = -6492 for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = 3*x. Let d be x\/(-2)*(-2 - -4). Let g = d - 2. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1775 and 2130?\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 229171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*l - 3*l = 0, 0 = -2*l - 6. Suppose -22*t + 462 = -20*t. Suppose -h*f = -t + 72. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2053, 2075, 2121, 2197, 2309?\n\"Answer: u**3 + 6*u**2 - 3*u + 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2*j = 4*l - 92, 3*l + 7 = j + 84 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 + -2 + 7 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*f + 139*f**2 - 22*f - 393*f**2 as u*f**2 + d*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 35*s**2 - 1\/240*s**5 - 1\/12*s**3 + 0 + 0*s + 1\/32*s**4. Solve k(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63978 and 246208.\nAnswer: 310186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -6*h. Is 10 a factor of (-9)\/9*h*40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g = -52*g - 35. Suppose 0 = 23*h - g*h - 32. Solve 2 = -h*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20723393 < 20723392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 5. Let z be f(-4). Let w = 11 + -7. Let j(p) = -2*p**2 + 28*p - 67. Let q be j(11). Which is the second smallest value? (a) w (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+752631903257\nAnswer: 752631903256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lue when three letters picked without replacement from {p: 2, l: 3, i: 1, u: 2, g: 2, e: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -3*a**4 - a. Let k(m) = 19*m**2 - 24*m. Let f(o) = -31*o**2 + 39*o. Let x(l) = 8*f(l) + 13*k(l). What is x(w(n))?\nAnswer: -1296*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -628\/65 - -58\/13. Let v = 0.1227 + 0.8773. Put v, d, -3\/2, 4 in increasing order.\nAnswer: d, -3\/2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 * 8.3775.\nAnswer: -527.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 63563000 to the nearest 100000.\nAnswer: 63600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 32*d - 12. Let w(p) = -8*p + 3. Let z(g) = 2*n(g) + 9*w(g). Differentiate z(o) with respect to o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.06015 - -0.06015. Put -1\/3, -18, r in decreasing order.\nAnswer: -1\/3, r, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3661919*y**2 + 9975885*y wrt y.\nAnswer: 7323838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-165))\/((-56)\/308). What is the nearest to s in -3, 4, -3\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by -729?\nAnswer: -26\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.99 - 2.2. Let m = 0.11 + b. Suppose 0 = -4*n + 10 + 10, 2*d + 2*n - 10 = 0. What is the second biggest value in m, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7837732?\nAnswer: 2, 7, 279919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29949 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 9, -5*h = -p - 6*h + 489. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1845 or 1848?\nAnswer: 1845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31155270 (base 8) in base 15?\nAnswer: 8a85e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m**3 + 0 - 315*m**3 + 0.\nAnswer: -388*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 9)\/(-12) - (-128)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 516 + -856. Let j = -328 - m. Calculate the remainder when 334 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6642 and 0.275?\nAnswer: 1826.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/32646 and 6\/723653.\nAnswer: 4341918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 5 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185000.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 245. Let i = 42 - k. Let t = i + 29.000021. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*d = 38, 134*d - 131*d = c - 9. Put 3, -3, c, -16 in decreasing order.\nAnswer: 3, -3, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -20578390?\nAnswer: -3\/10289195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -3*o**2\/2 - 1049. Let a(y) = 112*y + 49. Let r(c) = -7*c - 3. Let v(p) = 3*a(p) + 49*r(p). Determine v(d(b)).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 36 = 0. Let k(w) = -w**2 - 8*w + 7. Determine k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 10*q**2 - 7*q - 16. Let t be c(9). What is the third derivative of 45*d**3 + 7 + 0*d**4 - 18*d**2 + 19*d**2 - 2*d**4 - t*d**3 wrt d?\nAnswer: -48*d + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3050 (base 6) to base 16.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 89*h - 2. Calculate z(-1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13779771\/48059 + 5\/4369. Let t = -286 + v. Let 6\/11*s**4 + 14\/11*s**2 - 8\/11 + 20\/11*s**3 - t*s = 0. Calculate s.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = -3. Calculate the remainder when 36 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145022, 145021, 145020, 145019, 145018?\nAnswer: 145017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y - q = -12, -4*y + 3*q + 29 = 0. Let a(j) = 5*j. Give a(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 15. Let j = w - -13. Suppose -3*h = -3*p - 72 - 21, -j*h - 4*p + 146 = 0. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 1463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -368271*c - 741463 wrt c.\nAnswer: -368271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + ((3 - 12) + -12 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 16*x + 708. Let v(k) = k**2. Give v(l(i)).\nAnswer: 256*i**2 + 22656*i + 501264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - j**2 - 60 + 7*j**2 - 30 - 60 - 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 504 - 12*s**3 - 507 + 1075 + 14*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 100. Let g = x + 98. Let w = g + -18. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + -9*26\/(-3) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from bfqqffh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212003310?\nAnswer: 2, 3, 5, 7066777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v = 65*v - 95*v - 239190. Calculate the greatest common factor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/546 and 107\/204854?\nAnswer: 4301934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.5 (b) -0.05 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2460 - -2459.5. What is the closest to -7\/5 in 2, -1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7.1519.\nAnswer: 2.86076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((5 - 2) + -9). Let g = -6.87 + 1.87. Let d = -77.7 + 78. Which is the closest to 0.1? (a) g (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 8231642?\nAnswer: 8231642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42739650 divided by 122?\nAnswer: -350325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 35, 76, 133?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28805 and 1176067.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d - 3 = 4*o, -4*d = -3*o + 21. Suppose p - 1 = o*r - 5, r + 5*p = -20. Suppose 2*m = r, -6 = h + 3*m - 28. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:07 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6957\/716 + -6\/179. Let w(i) = i + 3. Calculate the common denominator of w(13) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2975 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170361.\nAnswer: 3, 607, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -2 (b) 0 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/7)*n*n*n**(2\/13)*n**(1\/9)*(n\/n**9)\/n*n assuming n is positive.\nAnswer: n**(-4814\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 1. Let f be j(-1). Let s(o) = 2*o - 3. Let v(t) = -t**3 + t**2 - t + 1. Let l(z) = f*s(z) - v(z). Let x be l(2). Solve -9*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))**(-9\/5))**9)**(1\/39) assuming b is positive.\nAnswer: b**(-36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 70*c + 18*c - 5*c.\nAnswer: -82*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Let t be 5 + ((-256)\/4)\/(-1). Suppose 71 = 4*y + k - t, 3*y - k = 105. Solve -c + 3*v + 5 + 6 = d, -5*v - y = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 25595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + m - 15*m - 7 + 2*m. Is l(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*j**2 + 257*j**2 + 4*j - 118*j**2 - 2*j**3 - 3*j as f*j + i*j**3 + r*j**2 + l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15553?\nAnswer: -15553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -13065*s - 2419*s - 11704*s - 4643*s as j + l*s and give l.\nAnswer: -31831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157209575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011101 (base 2) in base 7?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 498161.8kg in milligrams?\nAnswer: 498161800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -600 (b) 6\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917080 - 917080 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5 - 52*c + 45*c**3 + 136*c**4 + 55*c**2 + 125*c**4 + 2*c - 316*c**4 = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) - 2233\/63. Let p = i - -36. What is the second smallest value in -80, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 16*n - 843. Give o(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**3 - 4*l**2 - l + 1. Let f be v(6). Suppose 11 - 51 = -a + 2*n, 5*n = -5*a + f. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 45*h**2 - h. Let b be a(1). Let k = b + -44. Are k and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3.703 (b) -1 (c) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, 1 w, and 1 m when four letters picked without replacement from zzkezzezzkmtwkw.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/15 + 50*l**2 - 748*l\/15.\nAnswer: -2*l*(l - 374)*(l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95.03 - -100.03. What is the third smallest value in 78, k, 23\/4?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 120*u - 1396. Let f be q(10). Solve -5*p = -2*y + f*y - 15, 3*p - y - 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 4*u + 7. Let l be j(5). Suppose 4 = 2*z - l. Suppose -d + 3*d = 3*t - 353, z*t - 337 = -2*d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 91. Suppose x*l + 3*r = 602, -4*l = l + 2*r - 1494. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2) + 1 - 20. Let n = -12 - u. Let p = n - 4. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(112) - (sqrt(112) - (0 + sqrt(112)*-1)) - ((sqrt(112)*2)**2 + sqrt(112))*4).\nAnswer: -1788 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55706 = -6*t - 8*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961300 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 20. Let d = w - -1. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 70*p**2. Let r(x) = -21*x**2. Determine q(r(c)).\nAnswer: 30870*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvavvavvvvavvvv. Give prob of picking 2 v.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 3*x**2 + 0*x**2)*((3 - 4 + 0)*(3*x - x - x) - 98*x + 122*x - 120*x) in the form w + q*x**2 + z*x**3 + r*x and give z.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 0*r + 2*r. Let d be v(-10). Calculate the greatest common divisor of d and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 26*d**2 - 159*d - 39. Determine t(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46b + -3?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-12) + 2\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*z - 2*z + 11 = 0, -2*z = -2*j + 4. Suppose -v - 2*a = v - 16, -j*v + 6 = -3*a. Put 1\/7, -1, v, -2\/3 in decreasing order.\nAnswer: v, 1\/7, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q + 40\/21*q**3 + 1\/7*q**2 + 15. Factor m(j).\nAnswer: 2*j*(20*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246 * -4.\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059360478 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 5)*(-4)\/(-10). Let o be 4*1\/(q - -1). Does 46 divide 133 + 2*(-2)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126215767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 128. What is the smallest common multiple of 7 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6. Let i be (6 - 6) + (p - 5). Is 9 a factor of (-164)\/i + 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*k - 2258 - 73, 0 = -5*k + 3*u + 2935. Suppose -4*i - k + 9396 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrllrrlrlrullrr. Give prob of picking 3 l and 1 r.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2 - 4*q - 1. Let c(z) = -6*z**2 - 3*z - 1. Give -6*c(b) + 5*m(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2 (c) -0.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 6748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-39)\/(-39))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/519509 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 32 + 35 - 4*f. Determine x(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**3 - 7*z**2 + 8*z + 35. Let b be a(-4). Solve -5 = 344*i - b*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + i**2 + (-i + 2*i - 3*i)*(0*i - i - i) - 4*i + 4*i + 6*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o - 11 = -4*q, -3*q - 48 = -3*o. Let d = -40933 - -40933. Solve -3*y = -l - 17, -y - 2*y + o = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 6*w + 147 = -9*w - 3*s, -w + 53*s + 2597 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416320 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.6, -0.02, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 5*m. Let r be x(4). Let p be 1914\/(-1015) + (-2)\/21*-3. Let h = p + 2. Which is the smallest value? (a) 2 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 3, i: 1}. What is prob of sequence ittt?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/h*(h**(-4\/9)\/h*h)\/h)\/((h\/(h*h\/((h*h\/(h*h\/(h*h**4))*h*h)\/h*h)))\/(h*h**(-1))))**36 assuming h is positive.\nAnswer: h**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 5. Suppose v + 7 + 0 = 0. Let d(s) = -s**2 - 3. Let m(r) = v*d(r) - 4*w(r). Let l(o) = 3*o**2 + o**2 - 1 - 3*o**2. What is 3*l(p) + 2*m(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456696 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 13*f - 100, -f + 9*f - 2*f + 18 = -w + 4*f for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 62*f = 2. Suppose -n + 655 = -6*w + 7*w, 2*w = f. What are the prime factors of n?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*u - 3082*u + 4 - 2631*u - 98*u.\nAnswer: -5377*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2152 + 2154. Let j = -1 + 3. Suppose 2*c - 4*u + j = 8, -c - 4*u + 3 = 0. Solve -c*v - r + 7 = -5*r, -4*v - m*r = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2326 - 2282. Solve -16 - 72 = g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/4 - 6*t**3 + t**2\/2 - 19*t - 139. What is z(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*c, -8 = 3*j + j - 5*c. Let y(x) = x**2 + 4*x - 4. Let k be y(j). What is the second derivative of 17 + 2*r - k + 4*r**2 wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983025 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:28 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.57, -1, -1.2 in increasing order.\nAnswer: -1.2, -1, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*sqrt(832) + 2 + 0 + sqrt(39)\/sqrt(3) + -2 + sqrt(13)*2) + 5)**2 + -5.\nAnswer: -1800*sqrt(13) + 421220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.009012m to micrometers.\nAnswer: 8009012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:37 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 6) + -7 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2329116.\nAnswer: 9316464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1127465, -1127485, -1127491, -1127483?\nAnswer: -1127461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 4. Suppose -12 = 6*n - 3*n. Let r be (-7)\/(-1) + n - 3. Put 5, r, s in descending order.\nAnswer: 5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 364 - 2547\/7. Factor 0*i - 1\/7*i**3 - k*i**2 + 0.\nAnswer: -i**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 495313.15422.\nAnswer: 495313.25422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 111.7657359ns?\nAnswer: 0.00000000000018479784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269659507.\nAnswer: 3, 756553169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = u - 2*u + 77, 0 = 2*u + 8. Let m be ((-9)\/y)\/(375\/(-189) + 2). Solve -4 - m = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/(-2))\/(-6*(-7)\/(-35868)).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 12109524 (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 11.\nAnswer: 47\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8))\/((-60914)\/1832)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + m + 1, -5*p - m = 13. Suppose -75 = 6*i - 21*i. Which is the closest to -0.2? (a) p (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11900640*h**5 + 12482901*h**2?\nAnswer: -714038400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/7 in -4, 1, -2, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -991 greater than -991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15624 + 15678. Solve 4*y = 42 - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348025185 and 1140.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 223. Let u = -52 + c. What is the units digit of (u\/(-2))\/(-7 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1322*o*w**2 - 2*o + 2*w + 98 wrt w?\nAnswer: 2644*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4863023?\nAnswer: 11, 433, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 48, 42, 16?\n\"Answer: -10*s**2 + 44*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 10184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -334725, -334956, -335189, -335424, -335661, -335900, -336141?\n\"Answer: -g**2 - 228*g - 334496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 30, 33.\nAnswer: -5, -1, 30, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r**3 - 13*r**2 + 48*r + 33. Let y(b) = 17*b**3 + 12*b**2 - 45*b - 33. Determine 9*v(q) + 10*y(q).\nAnswer: -q**3 + 3*q**2 - 18*q - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - r + r + 99*r**2 - 97*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 761673*i - 761635*i + 684 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*a**4 - 17*a**2 + 4*a + 65*a**4 + 3*a + 9*a**3 + 2*a**2.\nAnswer: -a*(a - 7)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 5 + (22 - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 3}. What is prob of picking 1 x and 3 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 - 7 = a, 0 = -5*v + 2*a - 12. Let q be (23 - v)*(-3 + 18). Suppose -q = -2*u + 47. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h. Let s(v) = 8*v. Let m(a) = -a. Let j(z) = 10*m(z) + s(z). Calculate j(o(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861 = 28*q - 674 - 38 + 341 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**37*v*v\/((v*v*v*v**16)\/v) assuming v is positive.\nAnswer: v**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-11) - -2 - 6\/(-33). Let v be (-120)\/(-28) + 3\/(-21)*g. Let t = -1651\/19 + 87. Put v, 0.06, t in increasing order.\nAnswer: 0.06, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*n - 120 = -104*n. Let x = -1641\/41 + n. Which is the third smallest value? (a) x (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -16, 3\/25, -0.1 in increasing order.\nAnswer: -16, -0.1, 3\/25, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -85. Is 1 - c - 632*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -3.9. Let y = q - -4.4. What is the smallest value in -12, 0.2, y?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:46 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11015121*h**4 - 3512*h**2 - h - 152 wrt h?\nAnswer: 264362904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 902 and 2288.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 8\/71, -2.5, 6\/7 in ascending order.\nAnswer: -2.5, 0.1, 8\/71, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165039473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d771 (base 15) to base 8.\nAnswer: -130764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0779 (b) -472 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/4 - 97601*c\/4 + 683109\/2 = 0.\nAnswer: 14, 97587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1854, 2685, 3518, 4353, 5190?\n\"Answer: n**2 + 828*n + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29636789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155202833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let u(t) be the third derivative of 11*t**6\/120 - t**5\/30 + t**3\/6 - 7*t**2 + t. Calculate the lowest common multiple of u(q) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*w - 99 = -143*w. Let d = 39 + -14. Calculate the remainder when w is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011001001100 (base 2) to base 10.\nAnswer: -30284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1137.854069 to zero decimal places.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 9*v**2 + 14*v + 8. Suppose -74*f + 357 = -23*f. What is u(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 53.3. Let m = -4.6436 - n. Let s = -0.036 + m. Round s to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199560060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 3. Calculate g(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 31 = -5*z, 5*z - f - 34 = 3*f. Suppose z*x - 20 = x. Let b = -15544 + 15567. Solve 2*s - l = 3*s + 6, -x*l - b = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + (-44)\/(-6). Let a be c - (2 + -2 - 2). Let n = a + 0. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -792000 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61597998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1453656604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638 = 25*w + 33*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*g**5 + 308*c*g**3 + c*g**2 + 4*g**2 + 12*g wrt g.\nAnswer: 120*c*g**2 + 1848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-159)\/6*72\/(-2). Does 12 divide r\/36*1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = -4*d, d + 2*u + 1 = 2*d. Let v be 1*(d + 6)\/3. Which is the nearest to v? (a) -3 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5829*h**3 - 377 + 278796*h - 387*h**2 - 278419*h + 10*h**2. Let u(p) = -31*p**3 - 2*p**2 + 2*p - 2. Calculate -6*o(s) + 1131*u(s).\nAnswer: -87*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {d: 6, r: 4, t: 4, v: 1, q: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385149*s**2 - 192568*s**2 - 192583*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**12\/(z*z**(-1\/3)))\/(z**2)**(-34))**(-3\/28) assuming z is positive.\nAnswer: z**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*h**3 - 26*h + 9701 wrt h?\nAnswer: -210*h**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 8\/11*i**3 + 6\/11*i**4 + 0*i**2 - 2\/11*i**5 + 0.\nAnswer: -2*i**3*(i - 4)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-6))\/(12\/464).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 24) + -8 + -8 + (45 - 4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p. Suppose 3*a - 32 = 5*a + 4*w, p = -5*w + 15. Let f = 33 - a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 1\/5, 6\/11, 0.4 in descending order.\nAnswer: 6\/11, 0.4, 1\/5, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 2. Calculate v(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -312 - 14c1d?\nAnswer: -15131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0)\/(19\/19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -982*o**4 - 954*o**2?\nAnswer: -23568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -2\/23 (b) -2 (c) -4 (d) -1\/56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -2*p + 3, 0 = -2*p + 8. Let s = -5 + w. Does 5 divide -2*(s - 5 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20358030178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 791, 939, 1229, 1709?\nAnswer: 2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) 2 (c) 15.8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {q: 1, m: 1, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333 - 565. Let u = s - -232.000111. What is u rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4))**(-33) assuming g is positive.\nAnswer: g**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1490152 and 4.\nAnswer: 1490152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -52, -1 in descending order.\nAnswer: 9, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -5.6. Let i = 1.569 - 1.279. What is the third biggest value in i, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75609688 is divided by 25203215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66722751813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t - 1. Let y(s) = 3*s**3 - 2*s**2 - s. Suppose 0 = 43*a - 40*a + 1476. Let m = a - -494. Give m*f(x) - y(x).\nAnswer: -3*x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12994 and 1869?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.1 + -21.32. Let p = -0.22 - z. Which is the closest to -0.3? (a) -0.2 (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -2423, -5508, -9811, -15332, -22071, -30028?\nAnswer: -39203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 146 = -71. Solve 344 = v*q + 332 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307, -10, 0, -2, -8 in descending order.\nAnswer: 307, 0, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 17*p - 31. Calculate the remainder when 397 is divided by t(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 280*u + 821. Calculate d(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -3\/4 (c) -0.4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2428 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (987\/(-42))\/(((-18)\/84)\/(0 + 15\/(-35)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 44 + 6. Let o(g) = 2*g - 6. Let a be o(10). Solve i*q + 3*r - 8*r = a, -2 = 2*q + 3*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*y**5 - y**2 - 21*y wrt y.\nAnswer: 4700*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -54400000 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -5, -14.12, -0.2, 621?\nAnswer: -14.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b*b*b*b\/(b**(-2\/11)\/b)*b*b**(2\/9)*b*b**(-4))\/((b\/(b*b*b**(-1)*b))**(3\/35)\/(b**(1\/3)*b*b)**(-4\/11)) assuming b is positive.\nAnswer: b**(2092\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220263084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, 40096555?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/540 and -88\/68175.\nAnswer: 272700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*q + 318 - 66 = -62*q. Suppose 4*w + 0*w = 12. Solve w*g + 2*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 11. Let s be -3 + (-3 - -4) - -7. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462865.5kg to nanograms.\nAnswer: 462865500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115658.849 - -115598. Let x = -0.251 + k. Let c = 61 + x. Put c, 1\/4, 2\/3, 4 in ascending order.\nAnswer: c, 1\/4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -100020?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 28. Let w be f(16). Suppose 5*g = 0, 0 = -4*s + g + 2*g. Suppose s*b = w*b + 4. Is b at least -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725504.\nAnswer: 2, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*111\/407. Sort 1, -2, 19, n in ascending order.\nAnswer: -2, n, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 150664507\nAnswer: 150664507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -2240, 2, 17 in increasing order.\nAnswer: -2240, -58, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*s = 1, -5*s = -4*b + 27 + 10. Solve -b*q - g = -7, 3*g + g + 24 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ea18d + e?\nAnswer: -5ea17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 907883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9343 - -532516\/57. Calculate the common denominator of 13\/27 and n.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8577 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**9\/252 - 11*t**6\/30 + 253*t**5\/60 + 11*t**2 + 4*t. Find the third derivative of z(s) wrt s.\nAnswer: 240*s**3 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 257.2827 hours?\nAnswer: 15436.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + sqrt(133)*1 + sqrt(133)))*6*5)\/(2*sqrt(77)\/(sqrt(44)\/sqrt(4))) + 5.\nAnswer: -30*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 11?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 165, -5 in increasing order.\nAnswer: -5, -4, -1, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.349 - -0.329. Let w = -6.1591 - c. Round w to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = o. Suppose -3*l = -o*l. Let w = l - -3. Which is the closest to -2\/7? (a) 0.4 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5855*i*z**4 - 7*i*z**2 - 15355*i + 307*z**4 wrt z?\nAnswer: 140520*i*z + 7368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(56\/(-1680)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.02 and -51923 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 322734?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/111 and 89\/370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 683166 divided by 10351\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba (base 16) to base 2.\nAnswer: -10111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/5 - 9*g**3 + 153*g**2\/5 - 159*g\/5 + 54\/5 = 0. What is g?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 8*t - 10. Let a be u(-6). Let l be (16\/(-3))\/(a\/33). Suppose -5*n = -3*m + l - 34, -3*n - 4*m = -33. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -20b899?\nAnswer: -20b894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*u - 168*u - 2040 = 0. Let g be u\/17 - (-1 + -2). Which is the biggest value? (a) 5 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Solve -4*t**5 - 32920*t**4 + 35840*t**3 + 23998680*t**2 - 24001596*t = 0.\nAnswer: -8231, -27, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 6*x. Suppose -l + 3*t - 3 = 10, 5*l - 2*t = 0. Let g(z) = z**l + 43 - 43 - z. Let i(p) = -3*d(p) + 18*g(p). Let m(r) = 2*r. What is i(m(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from trdtttrtcudt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*v + 174 = 228, -4*z - 5*v = 117 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = 5*t - 852, 4*l = -t + 174. Let y = 63 + t. List the prime factors of y.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 144 in -0.15, 0, 2271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*s**2 - 13*s**2 + 2*s**2)*(4 - 4 + s**3) + 0*s**3 + 2*s**3 - 37*s**5 + 39*s**5.\nAnswer: -78*s**5 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*u - 592 - 8242, 0 = 4*w - 5*u + 35315. Let t = w + 2198675\/249. Let c = t - -3715\/996. Find the common denominator of c and -46\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*(f\/(f*f**(2\/9)))\/f)*f*f)\/(f\/f**(1\/5))*f**(-4\/7)\/(f**1*f))\/(((f*((f\/(f*f**(-2\/11)))\/f)\/f*f)\/f)**(1\/35))**(9\/14) assuming f is positive.\nAnswer: f**(42001\/48510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 271 - (-42)\/(18\/(-6)). Let u = 0 + 0. Suppose 2*s - s - r = u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -374, -750, -1126, -1502, -1878, -2254?\n\"Answer: -376*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 916 = 4*v + 3*n, n - 685 = -3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837671305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 10137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -273, -405, -533?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8791 is divided by 1255.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 - 8 = 0, -o - 2*b = -2. Suppose -6 = w + w. Put 3, o, w in descending order.\nAnswer: 3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17010489, 17010395, 17010299, 17010201, 17010101?\n\"Answer: -t**2 - 91*t + 17010581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 1\/36*m**4 + 0 - m**2 - 1\/1080*m**6 + 0*m - 1\/360*m**5 + 1\/3*m**3. Let k(d) be the first derivative of n(d). Factor k(o).\nAnswer: -(o - 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/4)\/(4\/8) + 42. Suppose 9*y - 7*y - 47 = 3*a, 0 = 2*y - 2*a - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000010100 (base 2) to base 7\nAnswer: -4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3565993 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + -10) - 8 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 892742 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: Simplify (((a\/a**(-1))\/a)**(-14\/13)*a**(-2\/9)*a\/(a\/(a*a\/(a**(1\/8)\/a)*a)))\/((a**(-2\/3))**(-13)*a**(-3)\/(a\/(a\/(a*a\/a**(-1\/2)))*a)) assuming a is positive.\nAnswer: a**(383\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1554\/63)\/(4\/498). Calculate the highest common factor of c and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12112 + 13100123?\nAnswer: 13112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1)\/(-3))\/(5\/120) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.092 + 0.08. Let o = 5.012 + r. What is the second biggest value in 0, o, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + -479. Let u = r - -562. Sort u, 35, -0.3 in ascending order.\nAnswer: -0.3, u, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/377, 0.4, 33, 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/3 - 2082*i + 509235 = 0. Calculate i.\nAnswer: 255, 5991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30679 - -106364099\/3467. Let o = p + -180410\/72807. Calculate the common denominator of -47\/117 and o.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 4, -1, -843, 0 in descending order.\nAnswer: 8, 5, 4, 0, -1, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19712.23 centuries in months?\nAnswer: 23654676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let f(w) be the second derivative of 3*w**5\/20 + w**4\/12 - w**3\/3 + w**2\/2 - 2*w. Let a be f(1). Solve o*t - 1 + a = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004333311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137538687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -548337 and 0.1?\nAnswer: -54833.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u + 1. Let m(j) = -2499*j**2 - 3*j**3 + 2493*j**2 + 6*j + 2*j**3 + 6. Suppose 4*p - 13 = 11. What is p*i(y) - m(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 113056\/6 - (0 + (-4)\/12). Let b = -904429\/48 + l. Calculate the common denominator of b and -113\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 5*c**2\/2 - 2. Let s be x(1). Let p = 2443 + -2437. Is p bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.0421km to millimeters.\nAnswer: 291042100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -59. Let c be (f\/(-15))\/(186\/10). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/884 and -97\/572?\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + -113 + (2 - (0 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tif. Give prob of picking 1 f and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1615 - 240.4565. Let y = 230 + v. What is y rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 726 by -1.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134060, 268808, 403556, 538304, 673052?\n\"Answer: 134748*j - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 196*t**3 + 143*t**2 - 10*t. Let s(c) = 39*c**3 + 29*c**2 - 2*c. Give -16*s(y) + 3*x(y).\nAnswer: -36*y**3 - 35*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 2*u - 585. Let h(o) = -o**3 + 57*o**2 - 670*o - 328. Let l be h(40). What is the greatest common factor of u and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (-1 - -52) - 21.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.598601833 + 0.4.\nAnswer: 64.998601833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by -93\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 81792223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 731*a - 10 - 5 + 530*a)*(-3 + 3 + 2*a) in the form c + o*a**2 + j*a and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 45 = -4*u. Solve 4*y - 11 = u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 14. Suppose 2 + 4 = 3*m. What is the remainder when o is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47272 - -47271.9999979323. Round f to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -45*h**2 + 26*h. Let d(p) = -12103*p**2 + 7007*p. Let a(q) = -2*d(q) + 539*u(q). Let f(g) = -g**2. Give -a(l) + 42*f(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/45 + 113*c**4\/18 + 2*c**2 - 1223. Find j, given that t(j) = 0.\nAnswer: 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 8*w**2 - 83. Let h be x(5). Which is the closest to 1\/3? (a) 2\/3 (b) 11\/8 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let z(c) = 11*c**2 - c. Let t be z(f). Suppose 0 = -3*u - 0 + t. Calculate the remainder when 40 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -3 + 1 - -11. Let w(j) = j**3 - 13*j**2 + 3. Let c be w(o). Suppose s = c*q + 37, -4*q - q = 20. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-18))\/((-12)\/4 - (-805)\/270). What is the greatest common factor of 99 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**2 - 12*c + 27. Is 43 a factor of w(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 330, 149\/8?\nAnswer: 149\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1147739, -1147738, -1147741, -1147754, -1147783, -1147834, -1147913, -1148026?\n\"Answer: -v**3 + 4*v**2 - 4*v - 1147738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 117. Let c be x(0). Suppose -45 = w - c. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 37817.\nAnswer: 6\/2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294866.\nAnswer: 2, 11, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, s: 1}. What is prob of picking 1 d and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -1482\nAnswer: 19266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**3 + n**2 - 15*n. Let t(f) = -f**3 + 9*f**2 - 12*f - 34. Let c be t(5). Let u(i) = -6*i**3 - i**2 + 15*i. What is c*u(p) + 5*b(p)?\nAnswer: -p**3 - p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -11. Is 11 a factor of ((-1)\/n)\/((-2)\/162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1302 + -1?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10918973?\nAnswer: 13, 839921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*f + 7. Suppose f*m = -m. Suppose 0 = -3*z - m*z + 27. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 1 + -23 + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11648076 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 139933901 to the nearest ten thousand.\nAnswer: 139930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/7560 + k**6\/720 - k**5\/180 - k**4\/8 - k**2. Let o(h) be the second derivative of d(h). Factor o(m).\nAnswer: -(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((60\/18)\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z + 6. Suppose -f + 0*w = -3*w + 5, -16 = -4*w. Suppose 0 = k + f. Let l(n) = -9*n - 7. Determine k*r(b) - 6*l(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 143 = -83. Suppose g*s - 7566 = -s. List the prime factors of s.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1306 (base 7) to base 2\nAnswer: 111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 16*f + 20. Let n be h(17). Suppose -23 = -4*w + 1. Solve -y - n*v + 20 = 0, -5*v = -2*y - w*v + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.483 + 9964106.\nAnswer: 9964105.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4812995\nAnswer: -2\/4812995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-860783)\/(-89432)*(-4)\/11?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -562*v + 2247. Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38587, 90868, 143139, 195394, 247627, 299832, 352003, 404134?\nAnswer: 456219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90285690 is divided by 3119?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 0*i + 18 + 25 - 2*i**2.\nAnswer: -2*i**2 + 8*i + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/9))**(-47)*a\/(a*(a\/a**(-13)*a)\/a*a)*a*a**(-5\/6))**(-25\/3) assuming a is positive.\nAnswer: a**(-2725\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y + 2. Let r(u) = -26*u - 3. Let h(b) = -g(b) - r(b). Let i(o) = o**2 + 4*o + 8. Calculate 5*h(s) - i(s).\nAnswer: -s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33669 is divided by 33658.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let p(a) = -a**3 + a**2 + 2*a - 2. Let i(g) = g + 4. Let s be i(-6). Let k = 61 - 54. Let y be (-72)\/252 + 9\/k. Determine s*d(q) + y*p(q).\nAnswer: -q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0266008mg?\nAnswer: 0.0000000000266008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6262 by 63.\nAnswer: 6262\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 343672 divided by 722\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y = -71*y - 10*i + 60, 0 = -3*y - i - 15 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938, -945, -954, -965?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(3\/16)*(z**(-2\/3)*z)**(-45)*(z**0\/z)**26\/((z*(z**(-2\/11)*z)\/z)\/((z**(-4\/5)\/z)\/z*z)) assuming z is positive.\nAnswer: z**(-38549\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 6*i + 16, -2*o + 42 = -2*i. Suppose 18*u = o*u + 3223. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from swqnsjgsjnjqq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:51 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 13*t - 359 = -14*t, 4*t - 356 = -4*l. Put 3, 1, 2, l, -4 in decreasing order.\nAnswer: l, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 3. Let n = g - -10. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7*-7*1. Suppose 0 = 3*n + 2*y - 12, -n - n + 8 = -j*y. Factor 0*l + 3\/2*l**n + 0*l**2 + 0 - 3*l**3.\nAnswer: 3*l**3*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 57618.\nAnswer: 115236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 >= 681\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rppprpprpprpprrppp. What is prob of sequence rrpr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-546)*(4\/(-16))\/(1\/(-6)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*v - 88, -v + m - 19 + 37 = 0. What is the third derivative of -10*c**6 - 16*c**3 + 16*c - 68*c**2 + 12*c**6 - v*c - 46*c**3 wrt c?\nAnswer: 240*c**3 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t - 2. Let q be r(-3). Let y(m) = -5 - 148*m + 246*m - 95*m. Determine y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (270*z + 1393*z - 596*z)*(0*z**2 - 1 + 2*z**2 + 0*z**2 + z) to the form h*z**3 + r + s*z + x*z**2 and give h.\nAnswer: 2134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 + 44.02. Let w = -43.0008 + y. What is w rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i. Let w(s) = s**2 + s + 3. Let c be w(i). Suppose 32 = c*j + j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3, 26, -1.4, 2\/5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807728?\nAnswer: 2, 19, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 39. Let z be d(0). Suppose 2*q = 5*q - z. Suppose 0*a + 26 = 2*l + a, 0 = 2*l + 4*a - 26. What is the highest common factor of l and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 + 4. Let o = -2 - 2. What is the smallest value in t, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*o - 7. Solve o*y = -3 - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = 6*q. Suppose -8611*j + 8643*j = 224. Solve -j*i = -q*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13*a + 7*a - 4.\nAnswer: 20*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 55*q**2 - 53*q + 66. Calculate the remainder when 27 is divided by i(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umoo when four letters picked without replacement from vrsomuo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3078*a + 16699*a + 57327*a - 337 + 56904*a - 17415*a. Let b be q(9). What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077840088 rounded to 5 decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(225)\/sqrt(324) - sqrt(25))\/(sqrt(45)*-3 + sqrt(5)))**2 + 2.\nAnswer: -6787\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -405944.059 to the nearest one hundred.\nAnswer: -405900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y + 9 - 31. Which is the closest to y? (a) 4 (b) -0.112 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t + 30 = -122*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5 + (-8)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 17*f**4 + 59*f**3 + 149*f**2 - 252*f - 324 = 0. Calculate f.\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106416 or 2513?\nAnswer: 2513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 19452*l**3*r**2 + 5*l**3 + 2*l*r**2 - 58*l*r + 967*l wrt l.\nAnswer: 24*l**2 - 116712*l*r**2 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 2*c**2 + 2*c - 2. Let k(j) = -10*j**3 - 11*j**2 + 10*j - 11. Suppose -y = -11*h + 12*h - 1, 3 = 2*y + h. Determine y*k(d) - 11*w(d).\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.98 - 0.02. Suppose 8 = -5*k + 3*r, 34*k - 28 = 37*k + 4*r. What is the third smallest value in k, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (336\/(-20))\/(4 - 15\/5). Let g = 17 + m. What is the closest to 1\/2 in 0.3, g, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 - 19.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 + 0.459. Round h to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21973979 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 36. Suppose -v*r = -14*r + 114. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqu when four letters picked without replacement from qquuqqqqquqquqqqqq.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 850, 1 in decreasing order.\nAnswer: 850, 1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2 - 2*u - 2. Suppose 52*x - 57*x + 10 = 0. Let z(a) = -3*a**2 + 3*a + 3. Calculate x*z(p) + 3*m(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -24*n - 380. Let k be a(-10). What are the prime factors of (-14)\/k + 7709\/10?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11776, -26438, -43968, -64354, -87584, -113646, -142528, -174218?\nAnswer: -208704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81032 + 81029. Suppose -3*n = 2*l + 5, -1 = l - 4*l + 4*n. Put a, 15, l in decreasing order.\nAnswer: 15, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 140. Let p be y*5\/(-40) + (-1)\/(-4). Determine h so that h**2 - 85 - 9*h + 77 + p*h = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*c**3 + c + 424*c**2 - 424*c**2 in the form p*c**2 + k*c**3 + m*c + z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 5 + -5 + -2. Let k = 22 + -22.4. Let w = k - -4.4. Put -0.2, t, 0, w in descending order.\nAnswer: w, 0, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932.411 hours to microseconds.\nAnswer: 3356679600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 14. Is l(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 11\/4) + (-71)\/(-4). Let d(s) = -s**3 + 19*s**2 - 17*s - 18. Let h be d(q). Solve -2*p - 2 = 0, -f - 2*p = -h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (332157\/63)\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 8, 2, -5 in ascending order.\nAnswer: -5, 2, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -303 + 296. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36388, -36392, -36398, -36406, -36416, -36428, -36442?\n\"Answer: -m**2 - m - 36386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 25*r**6\/3 - 58*r**5 - 23*r**4 + 200*r**3\/3 - 24*r**2 + 36. Suppose i(a) = 0. What is a?\nAnswer: -1, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -11 + 5, -3*d + 4*s = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 18*g - 4*g as u + m*g and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r - 59 + 3 - 40 = 0. Which is the nearest to 1? (a) -0.4 (b) r (c) 13.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Put -5, 2, h, 0 in increasing order.\nAnswer: -5, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/2*f**2 + 1 - 1\/3*f**3 - 10*f. Let o = 2 + -2. What is z(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 57 - 36 = -5*x, -3*x - 3*r = -57. Suppose -144 = -3*m + 177. Let d = m + -62. What is the greatest common divisor of d and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 32. Determine n(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttnlttttjtktttk. What is prob of picking 1 j and 1 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55232*a + 55241*a - 741 = 690. Calculate the remainder when 574 is divided by a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = 48*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (10 + -13 + 7)) + 30 + 2 + 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 211?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 - 1102881*v**2 + 3308670*v = 0 for v.\nAnswer: -367630, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*o + 49*o - 32. Solve 5*g - 9*g - o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*91.8078.\nAnswer: 3.672312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0044461 - 0.00663057. Round n to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12, -0.1, 1\/7, -5, -1\/6, -30?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65173.114 - 65261. Let l = b - -88. What is l rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -10448 in ascending order.\nAnswer: -10448, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-49))\/(8\/(-168)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**6\/6 - x**3 - 7. What is the third derivative of f(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 4. Let k(n) = 180*n**2 - 10. Calculate q(k(c)).\nAnswer: 32400*c**4 - 3600*c**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(243) + 2 + sqrt(243) - sqrt(243) - sqrt(243)))**2*-5 + sqrt(48)*-1 + 3 + -4.\nAnswer: -24*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 55. Let l be c(-14). Let z be (-1*5)\/(l\/30 - -2). Suppose -3*x - 15 = -z*x. Solve -9*f - 4 = -x*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 882915 divided by -2\nAnswer: -882915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 64 = 4*c, 3*v + 7*c - 3*c = 76. Suppose 0 = 4*z + 5 + 15. What is the units digit of 34\/8 + z\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17 + 6 + 1 + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*y + 5 = 0, y + 7 - 11 = 3*u. Which is smaller: u or 2\/23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409 - 408.6. Let s = -56 + 64. Which is the second biggest value? (a) -4 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 6*o - 2. Give r(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 136*f - 3. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114616.6185 to the nearest 10.\nAnswer: 114620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81 - -77)*14\/(-24). What is the second biggest value in r, 0.1, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.44 rounded to zero decimal places?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-14))\/(2\/(-7)). Suppose 8 = m*o, -4*k - 2*o + 32 = 2*o. Is 2*-1*(-18)\/k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -121102021?\nAnswer: 121102023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -61, -66761 in increasing order.\nAnswer: -66761, -61, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -29*m - 4. Let w(j) = 28*j + 3. Let c(z) = 5*k(z) + 6*w(z). Let h(n) = 3*n. What is h(c(g))?\nAnswer: 69*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*t + 166*t = -360. What is the remainder when 67 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7530\/12 - (-1)\/(-2). Let t = p - 118. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1270450 + -1?\nAnswer: -1270451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 7333\nAnswer: 216\/7333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 - 6 = 0. What is the remainder when 58*((-30)\/(-12) - 2) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337?\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77d + 0?\nAnswer: -77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -924\/5 not equal to -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 557043089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:11 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -23 + (9 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -134685 - 651\nAnswer: -135336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -61*j**6\/10 + 125*j**2\/2 - 1785*j. Find the first derivative of s(o) wrt o.\nAnswer: -732*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (41024\/(-8))\/(-8) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286448 is divided by 361.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:34 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((2\/(-2))\/1)\/(65\/(-5915)) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 2\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 1\/2, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 + (-6 + 0 - 37)*(2 - 3 + 3))*(1 - 3 + 1)*(-3 - 22*r**3 + 3).\nAnswer: -1870*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69051 is divided by 68954?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/(2\/(-25)). Let l = -37\/2 + u. Is l at most as big as 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6 + (-16 - -6). Let r(p) = -2*p + 6. Let b be (2\/(-6))\/(4\/(-24)). Let w(h) = b + 3*h + 5 - 5*h. Determine v*w(g) + 5*r(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -425900 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 204?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = 0, -d + 2*a = -2*d + 6054. Factor -3*o**2 - o**2 - 3318 + 1541 + 77 - d - 352*o.\nAnswer: -4*(o + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 7410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2723 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24442, 23200, 21132, 18238, 14518, 9972, 4600?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -1346, -2032, -2714, -3392, -4066?\nAnswer: -4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1371504 and 348.\nAnswer: 39773616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/68972 and 39\/348068?\nAnswer: 14966924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -60*n - 38. Let b(z) = 177*z + 112. Let y(i) = -6*b(i) - 17*m(i). What is the remainder when (-2)\/(-4) - (-174)\/4 is divided by y(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 12*u + 17. Let i be x(-13). What is the biggest value in i, -1, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 58 (b) 0.09 (c) -163690 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + 2.4. Let j = -67 - -67. Which is the closest to 0.1? (a) j (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 4*q. Let z(n) = -2 + 6*n + 2 - 3 - 2. Let u be z(q). What is the highest common divisor of u and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times 0.03904?\nAnswer: -0.203008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 = -2*l. Calculate the greatest common divisor of l and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49232 and 747711.\nAnswer: 3077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10*q = -14*q - 14, -5*q = 5. Suppose 3*f - n + 2*n - 124 = 0, -r*f + n = -81. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.8 and 238207.\nAnswer: 238195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/(2\/(-56)). Suppose -3*m + 9 = 4*g, -4*m + 4*g - 3*g - q = 0. Which is the smallest value? (a) m (b) -2 (c) -1\/2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 - (-7 + (-21 - 0) + 21 + -3)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:40 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p)\/p**13*(p\/(p\/(p**(-12)\/p)))\/(p*p\/p**(4\/7)) assuming p is positive.\nAnswer: p**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/4073 (b) 2 (c) -3\/7 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 126, 22 in ascending order.\nAnswer: -1, 14, 22, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 7106722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(3\/8)\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-11) - 138\/(-33). Solve 0 = 2*k - q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4*s = 8, 0 = 469*v - 471*v + 2*s - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 - 1793\/9. Let u = 11 - 14. What is the nearest to 0 in -0.2, u, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d0d (base 14) in base 4?\nAnswer: -22000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-436)\/(-1476) - (-145)\/1798*-31*4\/45?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1033648 divided by -14\nAnswer: -73832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 6, 45, -4, -5, -8 in decreasing order.\nAnswer: 45, 21, 6, 2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 5*g - 3. What is l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178220 and 1069320.\nAnswer: 1069320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 538 - 5*k - 538 + 3*k. Let z(g) = -7*g**2 - 1. Calculate i(z(l)).\nAnswer: 14*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -334734\/49 < -6830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}